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collatzTrajectory(112, [112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]).
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collatzTrajectory(101, [101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]).
collatzTrajectory(100, [100, 50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]).
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collatzTrajectory(85, [85, 256, 128, 64, 32, 16, 8, 4, 2, 1]).
collatzTrajectory(84, [84, 42, 21, 64, 32, 16, 8, 4, 2, 1]).
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collatzTrajectory(81, [81, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]).
collatzTrajectory(80, [80, 40, 20, 10, 5, 16, 8, 4, 2, 1]).
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collatzTrajectory(77, [77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]).
collatzTrajectory(76, [76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]).
collatzTrajectory(75, [75, 226, 113, 340, 170, 85, 256, 128, 64, 32, 16, 8, 4, 2, 1]).
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collatzTrajectory(72, [72, 36, 18, 9, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]).
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collatzTrajectory(70, [70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]).
collatzTrajectory(69, [69, 208, 104, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]).
collatzTrajectory(68, [68, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]).
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collatzTrajectory(66, [66, 33, 100, 50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]).
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collatzTrajectory(64, [64, 32, 16, 8, 4, 2, 1]).
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collatzTrajectory(61, [61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]).
collatzTrajectory(60, [60, 30, 15, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]).
collatzTrajectory(59, [59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]).
collatzTrajectory(58, [58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]).
collatzTrajectory(57, [57, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]).
collatzTrajectory(56, [56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]).
collatzTrajectory(55, [55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]).
collatzTrajectory(54, [54, 27, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]).
collatzTrajectory(53, [53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]).
collatzTrajectory(52, [52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]).
collatzTrajectory(51, [51, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]).
collatzTrajectory(50, [50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]).
collatzTrajectory(49, [49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]).
collatzTrajectory(48, [48, 24, 12, 6, 3, 10, 5, 16, 8, 4, 2, 1]).
collatzTrajectory(47, [47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]).
collatzTrajectory(46, [46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]).
collatzTrajectory(45, [45, 136, 68, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]).
collatzTrajectory(44, [44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]).
collatzTrajectory(43, [43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]).
collatzTrajectory(42, [42, 21, 64, 32, 16, 8, 4, 2, 1]).
collatzTrajectory(41, [41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]).
collatzTrajectory(40, [40, 20, 10, 5, 16, 8, 4, 2, 1]).
collatzTrajectory(39, [39, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]).
collatzTrajectory(38, [38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]).
collatzTrajectory(37, [37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]).
collatzTrajectory(36, [36, 18, 9, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]).
collatzTrajectory(35, [35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]).
collatzTrajectory(34, [34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]).
collatzTrajectory(33, [33, 100, 50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]).
collatzTrajectory(32, [32, 16, 8, 4, 2, 1]).
collatzTrajectory(31, [31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]).
collatzTrajectory(30, [30, 15, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]).
collatzTrajectory(29, [29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]).
collatzTrajectory(28, [28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]).
collatzTrajectory(27, [27, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]).
collatzTrajectory(26, [26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]).
collatzTrajectory(25, [25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]).
collatzTrajectory(24, [24, 12, 6, 3, 10, 5, 16, 8, 4, 2, 1]).
collatzTrajectory(23, [23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]).
collatzTrajectory(22, [22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]).
collatzTrajectory(21, [21, 64, 32, 16, 8, 4, 2, 1]).
collatzTrajectory(20, [20, 10, 5, 16, 8, 4, 2, 1]).
collatzTrajectory(19, [19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]).
collatzTrajectory(18, [18, 9, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]).
collatzTrajectory(17, [17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]).
collatzTrajectory(16, [16, 8, 4, 2, 1]).
collatzTrajectory(15, [15, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]).
collatzTrajectory(14, [14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]).
collatzTrajectory(13, [13, 40, 20, 10, 5, 16, 8, 4, 2, 1]).
collatzTrajectory(12, [12, 6, 3, 10, 5, 16, 8, 4, 2, 1]).
collatzTrajectory(11, [11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]).
collatzTrajectory(10, [10, 5, 16, 8, 4, 2, 1]).
collatzTrajectory(9, [9, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]).
collatzTrajectory(8, [8, 4, 2, 1]).
collatzTrajectory(7, [7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]).
collatzTrajectory(6, [6, 3, 10, 5, 16, 8, 4, 2, 1]).
collatzTrajectory(5, [5, 16, 8, 4, 2, 1]).
collatzTrajectory(4, [4, 2, 1]).
collatzTrajectory(3, [3, 10, 5, 16, 8, 4, 2, 1]).
collatzTrajectory(2, [2, 1]).
collatzTrajectory(1, [1]).

clause(2,
       collatzTrajectory(var('N'), var('M')),
       (repeat(1000, var('N0')), var('N') is 1000 - var('N0'), collatz(var('N'), var('M')))).
clause(3,
       repeat(var('N'), var('I')),
       (var('Last') is var('N') - 1, between(0, var('Last'), var('I')))).
clause(4, collatz(1, [1]), true).
clause(5,
       collatz(var('N'), [var('N') | var('J')]),
       (var('N') > 1,
        0 is var('N') mod 2,
        var('N1') is var('N') // 2,
        collatz(var('N1'), var('J')))).
clause(6,
       collatz(var('N'), [var('N') | var('J')]),
       (var('N') > 1,
        1 is var('N') mod 2,
        var('T') is 3 * var('N'),
        var('N1') is var('T') + 1,
        collatz(var('N1'), var('J')))).

step(collatzTrajectory(1000, [1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 1000,
      'M' = [1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 0],
     [repeat(1000, 0),
      1000 is 1000 - 0,
      collatz(1000, [1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 0),
     rule(3),
     ['N' = 1000, 'I' = 0, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 0)]).
step(999 is 1000 - 1, builtin, [], []).
step(between(0, 999, 0), builtin, [], []).
step(1000 is 1000 - 0, builtin, [], []).
step(collatz(1000, [1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1000,
      'J' = [500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 500],
     [1000 > 1,
      0 is 1000 mod 2,
      500 is 1000 // 2,
      collatz(500, [500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1000 > 1, builtin, [], []).
step(0 is 1000 mod 2, builtin, [], []).
step(500 is 1000 // 2, builtin, [], []).
step(collatz(500, [500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 500,
      'J' = [250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 250],
     [500 > 1,
      0 is 500 mod 2,
      250 is 500 // 2,
      collatz(250, [250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(500 > 1, builtin, [], []).
step(0 is 500 mod 2, builtin, [], []).
step(250 is 500 // 2, builtin, [], []).
step(collatz(250, [250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 250,
      'J' = [125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 125],
     [250 > 1,
      0 is 250 mod 2,
      125 is 250 // 2,
      collatz(125, [125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(250 > 1, builtin, [], []).
step(0 is 250 mod 2, builtin, [], []).
step(125 is 250 // 2, builtin, [], []).
step(collatz(125, [125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 125,
      'J' = [376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 375,
      'N1' = 376],
     [125 > 1,
      1 is 125 mod 2,
      375 is 3 * 125,
      376 is 375 + 1,
      collatz(376, [376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(125 > 1, builtin, [], []).
step(1 is 125 mod 2, builtin, [], []).
step(375 is 3 * 125, builtin, [], []).
step(376 is 375 + 1, builtin, [], []).
step(collatz(376, [376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 376,
      'J' = [188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 188],
     [376 > 1,
      0 is 376 mod 2,
      188 is 376 // 2,
      collatz(188, [188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(376 > 1, builtin, [], []).
step(0 is 376 mod 2, builtin, [], []).
step(188 is 376 // 2, builtin, [], []).
step(collatz(188, [188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 188,
      'J' = [94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 94],
     [188 > 1,
      0 is 188 mod 2,
      94 is 188 // 2,
      collatz(94, [94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(188 > 1, builtin, [], []).
step(0 is 188 mod 2, builtin, [], []).
step(94 is 188 // 2, builtin, [], []).
step(collatz(94, [94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 94,
      'J' = [47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 47],
     [94 > 1,
      0 is 94 mod 2,
      47 is 94 // 2,
      collatz(47, [47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(94 > 1, builtin, [], []).
step(0 is 94 mod 2, builtin, [], []).
step(47 is 94 // 2, builtin, [], []).
step(collatz(47, [47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 47,
      'J' = [142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 141,
      'N1' = 142],
     [47 > 1,
      1 is 47 mod 2,
      141 is 3 * 47,
      142 is 141 + 1,
      collatz(142, [142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(47 > 1, builtin, [], []).
step(1 is 47 mod 2, builtin, [], []).
step(141 is 3 * 47, builtin, [], []).
step(142 is 141 + 1, builtin, [], []).
step(collatz(142, [142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 142,
      'J' = [71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 71],
     [142 > 1,
      0 is 142 mod 2,
      71 is 142 // 2,
      collatz(71, [71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(142 > 1, builtin, [], []).
step(0 is 142 mod 2, builtin, [], []).
step(71 is 142 // 2, builtin, [], []).
step(collatz(71, [71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 71,
      'J' = [214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 213,
      'N1' = 214],
     [71 > 1,
      1 is 71 mod 2,
      213 is 3 * 71,
      214 is 213 + 1,
      collatz(214, [214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(71 > 1, builtin, [], []).
step(1 is 71 mod 2, builtin, [], []).
step(213 is 3 * 71, builtin, [], []).
step(214 is 213 + 1, builtin, [], []).
step(collatz(214, [214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 214,
      'J' = [107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 107],
     [214 > 1,
      0 is 214 mod 2,
      107 is 214 // 2,
      collatz(107, [107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(214 > 1, builtin, [], []).
step(0 is 214 mod 2, builtin, [], []).
step(107 is 214 // 2, builtin, [], []).
step(collatz(107, [107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 107,
      'J' = [322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 321,
      'N1' = 322],
     [107 > 1,
      1 is 107 mod 2,
      321 is 3 * 107,
      322 is 321 + 1,
      collatz(322, [322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(107 > 1, builtin, [], []).
step(1 is 107 mod 2, builtin, [], []).
step(321 is 3 * 107, builtin, [], []).
step(322 is 321 + 1, builtin, [], []).
step(collatz(322, [322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 322,
      'J' = [161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 161],
     [322 > 1,
      0 is 322 mod 2,
      161 is 322 // 2,
      collatz(161, [161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(322 > 1, builtin, [], []).
step(0 is 322 mod 2, builtin, [], []).
step(161 is 322 // 2, builtin, [], []).
step(collatz(161, [161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 161,
      'J' = [484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 483,
      'N1' = 484],
     [161 > 1,
      1 is 161 mod 2,
      483 is 3 * 161,
      484 is 483 + 1,
      collatz(484, [484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(161 > 1, builtin, [], []).
step(1 is 161 mod 2, builtin, [], []).
step(483 is 3 * 161, builtin, [], []).
step(484 is 483 + 1, builtin, [], []).
step(collatz(484, [484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 484,
      'J' = [242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 242],
     [484 > 1,
      0 is 484 mod 2,
      242 is 484 // 2,
      collatz(242, [242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(484 > 1, builtin, [], []).
step(0 is 484 mod 2, builtin, [], []).
step(242 is 484 // 2, builtin, [], []).
step(collatz(242, [242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 242,
      'J' = [121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 121],
     [242 > 1,
      0 is 242 mod 2,
      121 is 242 // 2,
      collatz(121, [121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(242 > 1, builtin, [], []).
step(0 is 242 mod 2, builtin, [], []).
step(121 is 242 // 2, builtin, [], []).
step(collatz(121, [121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 121,
      'J' = [364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 363,
      'N1' = 364],
     [121 > 1,
      1 is 121 mod 2,
      363 is 3 * 121,
      364 is 363 + 1,
      collatz(364, [364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(121 > 1, builtin, [], []).
step(1 is 121 mod 2, builtin, [], []).
step(363 is 3 * 121, builtin, [], []).
step(364 is 363 + 1, builtin, [], []).
step(collatz(364, [364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 364,
      'J' = [182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 182],
     [364 > 1,
      0 is 364 mod 2,
      182 is 364 // 2,
      collatz(182, [182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(364 > 1, builtin, [], []).
step(0 is 364 mod 2, builtin, [], []).
step(182 is 364 // 2, builtin, [], []).
step(collatz(182, [182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 182,
      'J' = [91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 91],
     [182 > 1,
      0 is 182 mod 2,
      91 is 182 // 2,
      collatz(91, [91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(182 > 1, builtin, [], []).
step(0 is 182 mod 2, builtin, [], []).
step(91 is 182 // 2, builtin, [], []).
step(collatz(91, [91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 91,
      'J' = [274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 273,
      'N1' = 274],
     [91 > 1,
      1 is 91 mod 2,
      273 is 3 * 91,
      274 is 273 + 1,
      collatz(274, [274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(91 > 1, builtin, [], []).
step(1 is 91 mod 2, builtin, [], []).
step(273 is 3 * 91, builtin, [], []).
step(274 is 273 + 1, builtin, [], []).
step(collatz(274, [274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 274,
      'J' = [137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 137],
     [274 > 1,
      0 is 274 mod 2,
      137 is 274 // 2,
      collatz(137, [137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(274 > 1, builtin, [], []).
step(0 is 274 mod 2, builtin, [], []).
step(137 is 274 // 2, builtin, [], []).
step(collatz(137, [137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 137,
      'J' = [412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 411,
      'N1' = 412],
     [137 > 1,
      1 is 137 mod 2,
      411 is 3 * 137,
      412 is 411 + 1,
      collatz(412, [412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(137 > 1, builtin, [], []).
step(1 is 137 mod 2, builtin, [], []).
step(411 is 3 * 137, builtin, [], []).
step(412 is 411 + 1, builtin, [], []).
step(collatz(412, [412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 412,
      'J' = [206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 206],
     [412 > 1,
      0 is 412 mod 2,
      206 is 412 // 2,
      collatz(206, [206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(412 > 1, builtin, [], []).
step(0 is 412 mod 2, builtin, [], []).
step(206 is 412 // 2, builtin, [], []).
step(collatz(206, [206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 206,
      'J' = [103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 103],
     [206 > 1,
      0 is 206 mod 2,
      103 is 206 // 2,
      collatz(103, [103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(206 > 1, builtin, [], []).
step(0 is 206 mod 2, builtin, [], []).
step(103 is 206 // 2, builtin, [], []).
step(collatz(103, [103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 103,
      'J' = [310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 309,
      'N1' = 310],
     [103 > 1,
      1 is 103 mod 2,
      309 is 3 * 103,
      310 is 309 + 1,
      collatz(310, [310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(103 > 1, builtin, [], []).
step(1 is 103 mod 2, builtin, [], []).
step(309 is 3 * 103, builtin, [], []).
step(310 is 309 + 1, builtin, [], []).
step(collatz(310, [310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 310,
      'J' = [155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 155],
     [310 > 1,
      0 is 310 mod 2,
      155 is 310 // 2,
      collatz(155, [155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(310 > 1, builtin, [], []).
step(0 is 310 mod 2, builtin, [], []).
step(155 is 310 // 2, builtin, [], []).
step(collatz(155, [155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 155,
      'J' = [466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 465,
      'N1' = 466],
     [155 > 1,
      1 is 155 mod 2,
      465 is 3 * 155,
      466 is 465 + 1,
      collatz(466, [466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(155 > 1, builtin, [], []).
step(1 is 155 mod 2, builtin, [], []).
step(465 is 3 * 155, builtin, [], []).
step(466 is 465 + 1, builtin, [], []).
step(collatz(466, [466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 466,
      'J' = [233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 233],
     [466 > 1,
      0 is 466 mod 2,
      233 is 466 // 2,
      collatz(233, [233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(466 > 1, builtin, [], []).
step(0 is 466 mod 2, builtin, [], []).
step(233 is 466 // 2, builtin, [], []).
step(collatz(233, [233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 233,
      'J' = [700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 699,
      'N1' = 700],
     [233 > 1,
      1 is 233 mod 2,
      699 is 3 * 233,
      700 is 699 + 1,
      collatz(700, [700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(233 > 1, builtin, [], []).
step(1 is 233 mod 2, builtin, [], []).
step(699 is 3 * 233, builtin, [], []).
step(700 is 699 + 1, builtin, [], []).
step(collatz(700, [700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 700,
      'J' = [350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 350],
     [700 > 1,
      0 is 700 mod 2,
      350 is 700 // 2,
      collatz(350, [350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(700 > 1, builtin, [], []).
step(0 is 700 mod 2, builtin, [], []).
step(350 is 700 // 2, builtin, [], []).
step(collatz(350, [350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 350,
      'J' = [175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 175],
     [350 > 1,
      0 is 350 mod 2,
      175 is 350 // 2,
      collatz(175, [175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(350 > 1, builtin, [], []).
step(0 is 350 mod 2, builtin, [], []).
step(175 is 350 // 2, builtin, [], []).
step(collatz(175, [175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 175,
      'J' = [526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 525,
      'N1' = 526],
     [175 > 1,
      1 is 175 mod 2,
      525 is 3 * 175,
      526 is 525 + 1,
      collatz(526, [526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(175 > 1, builtin, [], []).
step(1 is 175 mod 2, builtin, [], []).
step(525 is 3 * 175, builtin, [], []).
step(526 is 525 + 1, builtin, [], []).
step(collatz(526, [526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 526,
      'J' = [263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 263],
     [526 > 1,
      0 is 526 mod 2,
      263 is 526 // 2,
      collatz(263, [263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(526 > 1, builtin, [], []).
step(0 is 526 mod 2, builtin, [], []).
step(263 is 526 // 2, builtin, [], []).
step(collatz(263, [263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 263,
      'J' = [790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 789,
      'N1' = 790],
     [263 > 1,
      1 is 263 mod 2,
      789 is 3 * 263,
      790 is 789 + 1,
      collatz(790, [790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(263 > 1, builtin, [], []).
step(1 is 263 mod 2, builtin, [], []).
step(789 is 3 * 263, builtin, [], []).
step(790 is 789 + 1, builtin, [], []).
step(collatz(790, [790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 790,
      'J' = [395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 395],
     [790 > 1,
      0 is 790 mod 2,
      395 is 790 // 2,
      collatz(395, [395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(790 > 1, builtin, [], []).
step(0 is 790 mod 2, builtin, [], []).
step(395 is 790 // 2, builtin, [], []).
step(collatz(395, [395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 395,
      'J' = [1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 1185,
      'N1' = 1186],
     [395 > 1,
      1 is 395 mod 2,
      1185 is 3 * 395,
      1186 is 1185 + 1,
      collatz(1186, [1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(395 > 1, builtin, [], []).
step(1 is 395 mod 2, builtin, [], []).
step(1185 is 3 * 395, builtin, [], []).
step(1186 is 1185 + 1, builtin, [], []).
step(collatz(1186, [1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1186,
      'J' = [593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 593],
     [1186 > 1,
      0 is 1186 mod 2,
      593 is 1186 // 2,
      collatz(593, [593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1186 > 1, builtin, [], []).
step(0 is 1186 mod 2, builtin, [], []).
step(593 is 1186 // 2, builtin, [], []).
step(collatz(593, [593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 593,
      'J' = [1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 1779,
      'N1' = 1780],
     [593 > 1,
      1 is 593 mod 2,
      1779 is 3 * 593,
      1780 is 1779 + 1,
      collatz(1780, [1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(593 > 1, builtin, [], []).
step(1 is 593 mod 2, builtin, [], []).
step(1779 is 3 * 593, builtin, [], []).
step(1780 is 1779 + 1, builtin, [], []).
step(collatz(1780, [1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1780,
      'J' = [890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 890],
     [1780 > 1,
      0 is 1780 mod 2,
      890 is 1780 // 2,
      collatz(890, [890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1780 > 1, builtin, [], []).
step(0 is 1780 mod 2, builtin, [], []).
step(890 is 1780 // 2, builtin, [], []).
step(collatz(890, [890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 890,
      'J' = [445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 445],
     [890 > 1,
      0 is 890 mod 2,
      445 is 890 // 2,
      collatz(445, [445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(890 > 1, builtin, [], []).
step(0 is 890 mod 2, builtin, [], []).
step(445 is 890 // 2, builtin, [], []).
step(collatz(445, [445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 445,
      'J' = [1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 1335,
      'N1' = 1336],
     [445 > 1,
      1 is 445 mod 2,
      1335 is 3 * 445,
      1336 is 1335 + 1,
      collatz(1336, [1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(445 > 1, builtin, [], []).
step(1 is 445 mod 2, builtin, [], []).
step(1335 is 3 * 445, builtin, [], []).
step(1336 is 1335 + 1, builtin, [], []).
step(collatz(1336, [1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1336,
      'J' = [668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 668],
     [1336 > 1,
      0 is 1336 mod 2,
      668 is 1336 // 2,
      collatz(668, [668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1336 > 1, builtin, [], []).
step(0 is 1336 mod 2, builtin, [], []).
step(668 is 1336 // 2, builtin, [], []).
step(collatz(668, [668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 668,
      'J' = [334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 334],
     [668 > 1,
      0 is 668 mod 2,
      334 is 668 // 2,
      collatz(334, [334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(668 > 1, builtin, [], []).
step(0 is 668 mod 2, builtin, [], []).
step(334 is 668 // 2, builtin, [], []).
step(collatz(334, [334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 334,
      'J' = [167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 167],
     [334 > 1,
      0 is 334 mod 2,
      167 is 334 // 2,
      collatz(167, [167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(334 > 1, builtin, [], []).
step(0 is 334 mod 2, builtin, [], []).
step(167 is 334 // 2, builtin, [], []).
step(collatz(167, [167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 167,
      'J' = [502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 501,
      'N1' = 502],
     [167 > 1,
      1 is 167 mod 2,
      501 is 3 * 167,
      502 is 501 + 1,
      collatz(502, [502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(167 > 1, builtin, [], []).
step(1 is 167 mod 2, builtin, [], []).
step(501 is 3 * 167, builtin, [], []).
step(502 is 501 + 1, builtin, [], []).
step(collatz(502, [502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 502,
      'J' = [251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 251],
     [502 > 1,
      0 is 502 mod 2,
      251 is 502 // 2,
      collatz(251, [251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(502 > 1, builtin, [], []).
step(0 is 502 mod 2, builtin, [], []).
step(251 is 502 // 2, builtin, [], []).
step(collatz(251, [251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 251,
      'J' = [754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 753,
      'N1' = 754],
     [251 > 1,
      1 is 251 mod 2,
      753 is 3 * 251,
      754 is 753 + 1,
      collatz(754, [754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(251 > 1, builtin, [], []).
step(1 is 251 mod 2, builtin, [], []).
step(753 is 3 * 251, builtin, [], []).
step(754 is 753 + 1, builtin, [], []).
step(collatz(754, [754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 754,
      'J' = [377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 377],
     [754 > 1,
      0 is 754 mod 2,
      377 is 754 // 2,
      collatz(377, [377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(754 > 1, builtin, [], []).
step(0 is 754 mod 2, builtin, [], []).
step(377 is 754 // 2, builtin, [], []).
step(collatz(377, [377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 377,
      'J' = [1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 1131,
      'N1' = 1132],
     [377 > 1,
      1 is 377 mod 2,
      1131 is 3 * 377,
      1132 is 1131 + 1,
      collatz(1132, [1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(377 > 1, builtin, [], []).
step(1 is 377 mod 2, builtin, [], []).
step(1131 is 3 * 377, builtin, [], []).
step(1132 is 1131 + 1, builtin, [], []).
step(collatz(1132, [1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1132,
      'J' = [566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 566],
     [1132 > 1,
      0 is 1132 mod 2,
      566 is 1132 // 2,
      collatz(566, [566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1132 > 1, builtin, [], []).
step(0 is 1132 mod 2, builtin, [], []).
step(566 is 1132 // 2, builtin, [], []).
step(collatz(566, [566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 566,
      'J' = [283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 283],
     [566 > 1,
      0 is 566 mod 2,
      283 is 566 // 2,
      collatz(283, [283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(566 > 1, builtin, [], []).
step(0 is 566 mod 2, builtin, [], []).
step(283 is 566 // 2, builtin, [], []).
step(collatz(283, [283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 283,
      'J' = [850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 849,
      'N1' = 850],
     [283 > 1,
      1 is 283 mod 2,
      849 is 3 * 283,
      850 is 849 + 1,
      collatz(850, [850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(283 > 1, builtin, [], []).
step(1 is 283 mod 2, builtin, [], []).
step(849 is 3 * 283, builtin, [], []).
step(850 is 849 + 1, builtin, [], []).
step(collatz(850, [850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 850,
      'J' = [425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 425],
     [850 > 1,
      0 is 850 mod 2,
      425 is 850 // 2,
      collatz(425, [425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(850 > 1, builtin, [], []).
step(0 is 850 mod 2, builtin, [], []).
step(425 is 850 // 2, builtin, [], []).
step(collatz(425, [425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 425,
      'J' = [1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 1275,
      'N1' = 1276],
     [425 > 1,
      1 is 425 mod 2,
      1275 is 3 * 425,
      1276 is 1275 + 1,
      collatz(1276, [1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(425 > 1, builtin, [], []).
step(1 is 425 mod 2, builtin, [], []).
step(1275 is 3 * 425, builtin, [], []).
step(1276 is 1275 + 1, builtin, [], []).
step(collatz(1276, [1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1276,
      'J' = [638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 638],
     [1276 > 1,
      0 is 1276 mod 2,
      638 is 1276 // 2,
      collatz(638, [638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1276 > 1, builtin, [], []).
step(0 is 1276 mod 2, builtin, [], []).
step(638 is 1276 // 2, builtin, [], []).
step(collatz(638, [638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 638,
      'J' = [319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 319],
     [638 > 1,
      0 is 638 mod 2,
      319 is 638 // 2,
      collatz(319, [319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(638 > 1, builtin, [], []).
step(0 is 638 mod 2, builtin, [], []).
step(319 is 638 // 2, builtin, [], []).
step(collatz(319, [319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 319,
      'J' = [958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 957,
      'N1' = 958],
     [319 > 1,
      1 is 319 mod 2,
      957 is 3 * 319,
      958 is 957 + 1,
      collatz(958, [958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(319 > 1, builtin, [], []).
step(1 is 319 mod 2, builtin, [], []).
step(957 is 3 * 319, builtin, [], []).
step(958 is 957 + 1, builtin, [], []).
step(collatz(958, [958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 958,
      'J' = [479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 479],
     [958 > 1,
      0 is 958 mod 2,
      479 is 958 // 2,
      collatz(479, [479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(958 > 1, builtin, [], []).
step(0 is 958 mod 2, builtin, [], []).
step(479 is 958 // 2, builtin, [], []).
step(collatz(479, [479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 479,
      'J' = [1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 1437,
      'N1' = 1438],
     [479 > 1,
      1 is 479 mod 2,
      1437 is 3 * 479,
      1438 is 1437 + 1,
      collatz(1438, [1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(479 > 1, builtin, [], []).
step(1 is 479 mod 2, builtin, [], []).
step(1437 is 3 * 479, builtin, [], []).
step(1438 is 1437 + 1, builtin, [], []).
step(collatz(1438, [1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1438,
      'J' = [719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 719],
     [1438 > 1,
      0 is 1438 mod 2,
      719 is 1438 // 2,
      collatz(719, [719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1438 > 1, builtin, [], []).
step(0 is 1438 mod 2, builtin, [], []).
step(719 is 1438 // 2, builtin, [], []).
step(collatz(719, [719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 719,
      'J' = [2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 2157,
      'N1' = 2158],
     [719 > 1,
      1 is 719 mod 2,
      2157 is 3 * 719,
      2158 is 2157 + 1,
      collatz(2158, [2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(719 > 1, builtin, [], []).
step(1 is 719 mod 2, builtin, [], []).
step(2157 is 3 * 719, builtin, [], []).
step(2158 is 2157 + 1, builtin, [], []).
step(collatz(2158, [2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 2158,
      'J' = [1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1079],
     [2158 > 1,
      0 is 2158 mod 2,
      1079 is 2158 // 2,
      collatz(1079, [1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2158 > 1, builtin, [], []).
step(0 is 2158 mod 2, builtin, [], []).
step(1079 is 2158 // 2, builtin, [], []).
step(collatz(1079, [1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 1079,
      'J' = [3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 3237,
      'N1' = 3238],
     [1079 > 1,
      1 is 1079 mod 2,
      3237 is 3 * 1079,
      3238 is 3237 + 1,
      collatz(3238, [3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1079 > 1, builtin, [], []).
step(1 is 1079 mod 2, builtin, [], []).
step(3237 is 3 * 1079, builtin, [], []).
step(3238 is 3237 + 1, builtin, [], []).
step(collatz(3238, [3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 3238,
      'J' = [1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1619],
     [3238 > 1,
      0 is 3238 mod 2,
      1619 is 3238 // 2,
      collatz(1619, [1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(3238 > 1, builtin, [], []).
step(0 is 3238 mod 2, builtin, [], []).
step(1619 is 3238 // 2, builtin, [], []).
step(collatz(1619, [1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 1619,
      'J' = [4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 4857,
      'N1' = 4858],
     [1619 > 1,
      1 is 1619 mod 2,
      4857 is 3 * 1619,
      4858 is 4857 + 1,
      collatz(4858, [4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1619 > 1, builtin, [], []).
step(1 is 1619 mod 2, builtin, [], []).
step(4857 is 3 * 1619, builtin, [], []).
step(4858 is 4857 + 1, builtin, [], []).
step(collatz(4858, [4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 4858,
      'J' = [2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 2429],
     [4858 > 1,
      0 is 4858 mod 2,
      2429 is 4858 // 2,
      collatz(2429, [2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(4858 > 1, builtin, [], []).
step(0 is 4858 mod 2, builtin, [], []).
step(2429 is 4858 // 2, builtin, [], []).
step(collatz(2429, [2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 2429,
      'J' = [7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 7287,
      'N1' = 7288],
     [2429 > 1,
      1 is 2429 mod 2,
      7287 is 3 * 2429,
      7288 is 7287 + 1,
      collatz(7288, [7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2429 > 1, builtin, [], []).
step(1 is 2429 mod 2, builtin, [], []).
step(7287 is 3 * 2429, builtin, [], []).
step(7288 is 7287 + 1, builtin, [], []).
step(collatz(7288, [7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 7288,
      'J' = [3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 3644],
     [7288 > 1,
      0 is 7288 mod 2,
      3644 is 7288 // 2,
      collatz(3644, [3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(7288 > 1, builtin, [], []).
step(0 is 7288 mod 2, builtin, [], []).
step(3644 is 7288 // 2, builtin, [], []).
step(collatz(3644, [3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 3644,
      'J' = [1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1822],
     [3644 > 1,
      0 is 3644 mod 2,
      1822 is 3644 // 2,
      collatz(1822, [1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(3644 > 1, builtin, [], []).
step(0 is 3644 mod 2, builtin, [], []).
step(1822 is 3644 // 2, builtin, [], []).
step(collatz(1822, [1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1822,
      'J' = [911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 911],
     [1822 > 1,
      0 is 1822 mod 2,
      911 is 1822 // 2,
      collatz(911, [911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1822 > 1, builtin, [], []).
step(0 is 1822 mod 2, builtin, [], []).
step(911 is 1822 // 2, builtin, [], []).
step(collatz(911, [911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 911,
      'J' = [2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 2733,
      'N1' = 2734],
     [911 > 1,
      1 is 911 mod 2,
      2733 is 3 * 911,
      2734 is 2733 + 1,
      collatz(2734, [2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(911 > 1, builtin, [], []).
step(1 is 911 mod 2, builtin, [], []).
step(2733 is 3 * 911, builtin, [], []).
step(2734 is 2733 + 1, builtin, [], []).
step(collatz(2734, [2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 2734,
      'J' = [1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1367],
     [2734 > 1,
      0 is 2734 mod 2,
      1367 is 2734 // 2,
      collatz(1367, [1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2734 > 1, builtin, [], []).
step(0 is 2734 mod 2, builtin, [], []).
step(1367 is 2734 // 2, builtin, [], []).
step(collatz(1367, [1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 1367,
      'J' = [4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 4101,
      'N1' = 4102],
     [1367 > 1,
      1 is 1367 mod 2,
      4101 is 3 * 1367,
      4102 is 4101 + 1,
      collatz(4102, [4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1367 > 1, builtin, [], []).
step(1 is 1367 mod 2, builtin, [], []).
step(4101 is 3 * 1367, builtin, [], []).
step(4102 is 4101 + 1, builtin, [], []).
step(collatz(4102, [4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 4102,
      'J' = [2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 2051],
     [4102 > 1,
      0 is 4102 mod 2,
      2051 is 4102 // 2,
      collatz(2051, [2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(4102 > 1, builtin, [], []).
step(0 is 4102 mod 2, builtin, [], []).
step(2051 is 4102 // 2, builtin, [], []).
step(collatz(2051, [2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 2051,
      'J' = [6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 6153,
      'N1' = 6154],
     [2051 > 1,
      1 is 2051 mod 2,
      6153 is 3 * 2051,
      6154 is 6153 + 1,
      collatz(6154, [6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2051 > 1, builtin, [], []).
step(1 is 2051 mod 2, builtin, [], []).
step(6153 is 3 * 2051, builtin, [], []).
step(6154 is 6153 + 1, builtin, [], []).
step(collatz(6154, [6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 6154,
      'J' = [3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 3077],
     [6154 > 1,
      0 is 6154 mod 2,
      3077 is 6154 // 2,
      collatz(3077, [3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(6154 > 1, builtin, [], []).
step(0 is 6154 mod 2, builtin, [], []).
step(3077 is 6154 // 2, builtin, [], []).
step(collatz(3077, [3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 3077,
      'J' = [9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 9231,
      'N1' = 9232],
     [3077 > 1,
      1 is 3077 mod 2,
      9231 is 3 * 3077,
      9232 is 9231 + 1,
      collatz(9232, [9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(3077 > 1, builtin, [], []).
step(1 is 3077 mod 2, builtin, [], []).
step(9231 is 3 * 3077, builtin, [], []).
step(9232 is 9231 + 1, builtin, [], []).
step(collatz(9232, [9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 9232,
      'J' = [4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 4616],
     [9232 > 1,
      0 is 9232 mod 2,
      4616 is 9232 // 2,
      collatz(4616, [4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(9232 > 1, builtin, [], []).
step(0 is 9232 mod 2, builtin, [], []).
step(4616 is 9232 // 2, builtin, [], []).
step(collatz(4616, [4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 4616,
      'J' = [2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 2308],
     [4616 > 1,
      0 is 4616 mod 2,
      2308 is 4616 // 2,
      collatz(2308, [2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(4616 > 1, builtin, [], []).
step(0 is 4616 mod 2, builtin, [], []).
step(2308 is 4616 // 2, builtin, [], []).
step(collatz(2308, [2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 2308,
      'J' = [1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1154],
     [2308 > 1,
      0 is 2308 mod 2,
      1154 is 2308 // 2,
      collatz(1154, [1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2308 > 1, builtin, [], []).
step(0 is 2308 mod 2, builtin, [], []).
step(1154 is 2308 // 2, builtin, [], []).
step(collatz(1154, [1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1154,
      'J' = [577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 577],
     [1154 > 1,
      0 is 1154 mod 2,
      577 is 1154 // 2,
      collatz(577, [577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1154 > 1, builtin, [], []).
step(0 is 1154 mod 2, builtin, [], []).
step(577 is 1154 // 2, builtin, [], []).
step(collatz(577, [577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 577,
      'J' = [1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 1731,
      'N1' = 1732],
     [577 > 1,
      1 is 577 mod 2,
      1731 is 3 * 577,
      1732 is 1731 + 1,
      collatz(1732, [1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(577 > 1, builtin, [], []).
step(1 is 577 mod 2, builtin, [], []).
step(1731 is 3 * 577, builtin, [], []).
step(1732 is 1731 + 1, builtin, [], []).
step(collatz(1732, [1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1732,
      'J' = [866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 866],
     [1732 > 1,
      0 is 1732 mod 2,
      866 is 1732 // 2,
      collatz(866, [866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1732 > 1, builtin, [], []).
step(0 is 1732 mod 2, builtin, [], []).
step(866 is 1732 // 2, builtin, [], []).
step(collatz(866, [866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 866,
      'J' = [433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 433],
     [866 > 1,
      0 is 866 mod 2,
      433 is 866 // 2,
      collatz(433, [433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(866 > 1, builtin, [], []).
step(0 is 866 mod 2, builtin, [], []).
step(433 is 866 // 2, builtin, [], []).
step(collatz(433, [433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 433,
      'J' = [1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 1299,
      'N1' = 1300],
     [433 > 1,
      1 is 433 mod 2,
      1299 is 3 * 433,
      1300 is 1299 + 1,
      collatz(1300, [1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(433 > 1, builtin, [], []).
step(1 is 433 mod 2, builtin, [], []).
step(1299 is 3 * 433, builtin, [], []).
step(1300 is 1299 + 1, builtin, [], []).
step(collatz(1300, [1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1300,
      'J' = [650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 650],
     [1300 > 1,
      0 is 1300 mod 2,
      650 is 1300 // 2,
      collatz(650, [650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1300 > 1, builtin, [], []).
step(0 is 1300 mod 2, builtin, [], []).
step(650 is 1300 // 2, builtin, [], []).
step(collatz(650, [650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 650,
      'J' = [325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 325],
     [650 > 1,
      0 is 650 mod 2,
      325 is 650 // 2,
      collatz(325, [325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(650 > 1, builtin, [], []).
step(0 is 650 mod 2, builtin, [], []).
step(325 is 650 // 2, builtin, [], []).
step(collatz(325, [325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 325,
      'J' = [976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 975,
      'N1' = 976],
     [325 > 1,
      1 is 325 mod 2,
      975 is 3 * 325,
      976 is 975 + 1,
      collatz(976, [976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(325 > 1, builtin, [], []).
step(1 is 325 mod 2, builtin, [], []).
step(975 is 3 * 325, builtin, [], []).
step(976 is 975 + 1, builtin, [], []).
step(collatz(976, [976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 976,
      'J' = [488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 488],
     [976 > 1,
      0 is 976 mod 2,
      488 is 976 // 2,
      collatz(488, [488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(976 > 1, builtin, [], []).
step(0 is 976 mod 2, builtin, [], []).
step(488 is 976 // 2, builtin, [], []).
step(collatz(488, [488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 488,
      'J' = [244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 244],
     [488 > 1,
      0 is 488 mod 2,
      244 is 488 // 2,
      collatz(244, [244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(488 > 1, builtin, [], []).
step(0 is 488 mod 2, builtin, [], []).
step(244 is 488 // 2, builtin, [], []).
step(collatz(244, [244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 244,
      'J' = [122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 122],
     [244 > 1,
      0 is 244 mod 2,
      122 is 244 // 2,
      collatz(122, [122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(244 > 1, builtin, [], []).
step(0 is 244 mod 2, builtin, [], []).
step(122 is 244 // 2, builtin, [], []).
step(collatz(122, [122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 122,
      'J' = [61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 61],
     [122 > 1,
      0 is 122 mod 2,
      61 is 122 // 2,
      collatz(61, [61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(122 > 1, builtin, [], []).
step(0 is 122 mod 2, builtin, [], []).
step(61 is 122 // 2, builtin, [], []).
step(collatz(61, [61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 61,
      'J' = [184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 183,
      'N1' = 184],
     [61 > 1,
      1 is 61 mod 2,
      183 is 3 * 61,
      184 is 183 + 1,
      collatz(184, [184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(61 > 1, builtin, [], []).
step(1 is 61 mod 2, builtin, [], []).
step(183 is 3 * 61, builtin, [], []).
step(184 is 183 + 1, builtin, [], []).
step(collatz(184, [184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 184,
      'J' = [92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 92],
     [184 > 1,
      0 is 184 mod 2,
      92 is 184 // 2,
      collatz(92, [92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(184 > 1, builtin, [], []).
step(0 is 184 mod 2, builtin, [], []).
step(92 is 184 // 2, builtin, [], []).
step(collatz(92, [92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 92,
      'J' = [46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 46],
     [92 > 1,
      0 is 92 mod 2,
      46 is 92 // 2,
      collatz(46, [46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(92 > 1, builtin, [], []).
step(0 is 92 mod 2, builtin, [], []).
step(46 is 92 // 2, builtin, [], []).
step(collatz(46, [46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 46, 'J' = [23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1], 'N1' = 23],
     [46 > 1,
      0 is 46 mod 2,
      23 is 46 // 2,
      collatz(23, [23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(46 > 1, builtin, [], []).
step(0 is 46 mod 2, builtin, [], []).
step(23 is 46 // 2, builtin, [], []).
step(collatz(23, [23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 23,
      'J' = [70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 69,
      'N1' = 70],
     [23 > 1,
      1 is 23 mod 2,
      69 is 3 * 23,
      70 is 69 + 1,
      collatz(70, [70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(23 > 1, builtin, [], []).
step(1 is 23 mod 2, builtin, [], []).
step(69 is 3 * 23, builtin, [], []).
step(70 is 69 + 1, builtin, [], []).
step(collatz(70, [70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 70, 'J' = [35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1], 'N1' = 35],
     [70 > 1,
      0 is 70 mod 2,
      35 is 70 // 2,
      collatz(35, [35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(70 > 1, builtin, [], []).
step(0 is 70 mod 2, builtin, [], []).
step(35 is 70 // 2, builtin, [], []).
step(collatz(35, [35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 35, 'J' = [106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1], 'T' = 105, 'N1' = 106],
     [35 > 1,
      1 is 35 mod 2,
      105 is 3 * 35,
      106 is 105 + 1,
      collatz(106, [106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(35 > 1, builtin, [], []).
step(1 is 35 mod 2, builtin, [], []).
step(105 is 3 * 35, builtin, [], []).
step(106 is 105 + 1, builtin, [], []).
step(collatz(106, [106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 106, 'J' = [53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1], 'N1' = 53],
     [106 > 1,
      0 is 106 mod 2,
      53 is 106 // 2,
      collatz(53, [53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(106 > 1, builtin, [], []).
step(0 is 106 mod 2, builtin, [], []).
step(53 is 106 // 2, builtin, [], []).
step(collatz(53, [53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 53, 'J' = [160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1], 'T' = 159, 'N1' = 160],
     [53 > 1,
      1 is 53 mod 2,
      159 is 3 * 53,
      160 is 159 + 1,
      collatz(160, [160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(53 > 1, builtin, [], []).
step(1 is 53 mod 2, builtin, [], []).
step(159 is 3 * 53, builtin, [], []).
step(160 is 159 + 1, builtin, [], []).
step(collatz(160, [160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 160, 'J' = [80, 40, 20, 10, 5, 16, 8, 4, 2, 1], 'N1' = 80],
     [160 > 1, 0 is 160 mod 2, 80 is 160 // 2, collatz(80, [80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(160 > 1, builtin, [], []).
step(0 is 160 mod 2, builtin, [], []).
step(80 is 160 // 2, builtin, [], []).
step(collatz(80, [80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 80, 'J' = [40, 20, 10, 5, 16, 8, 4, 2, 1], 'N1' = 40],
     [80 > 1, 0 is 80 mod 2, 40 is 80 // 2, collatz(40, [40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(80 > 1, builtin, [], []).
step(0 is 80 mod 2, builtin, [], []).
step(40 is 80 // 2, builtin, [], []).
step(collatz(40, [40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 40, 'J' = [20, 10, 5, 16, 8, 4, 2, 1], 'N1' = 20],
     [40 > 1, 0 is 40 mod 2, 20 is 40 // 2, collatz(20, [20, 10, 5, 16, 8, 4, 2, 1])]).
step(40 > 1, builtin, [], []).
step(0 is 40 mod 2, builtin, [], []).
step(20 is 40 // 2, builtin, [], []).
step(collatz(20, [20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 20, 'J' = [10, 5, 16, 8, 4, 2, 1], 'N1' = 10],
     [20 > 1, 0 is 20 mod 2, 10 is 20 // 2, collatz(10, [10, 5, 16, 8, 4, 2, 1])]).
step(20 > 1, builtin, [], []).
step(0 is 20 mod 2, builtin, [], []).
step(10 is 20 // 2, builtin, [], []).
step(collatz(10, [10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 10, 'J' = [5, 16, 8, 4, 2, 1], 'N1' = 5],
     [10 > 1, 0 is 10 mod 2, 5 is 10 // 2, collatz(5, [5, 16, 8, 4, 2, 1])]).
step(10 > 1, builtin, [], []).
step(0 is 10 mod 2, builtin, [], []).
step(5 is 10 // 2, builtin, [], []).
step(collatz(5, [5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 5, 'J' = [16, 8, 4, 2, 1], 'T' = 15, 'N1' = 16],
     [5 > 1, 1 is 5 mod 2, 15 is 3 * 5, 16 is 15 + 1, collatz(16, [16, 8, 4, 2, 1])]).
step(5 > 1, builtin, [], []).
step(1 is 5 mod 2, builtin, [], []).
step(15 is 3 * 5, builtin, [], []).
step(16 is 15 + 1, builtin, [], []).
step(collatz(16, [16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 16, 'J' = [8, 4, 2, 1], 'N1' = 8],
     [16 > 1, 0 is 16 mod 2, 8 is 16 // 2, collatz(8, [8, 4, 2, 1])]).
step(16 > 1, builtin, [], []).
step(0 is 16 mod 2, builtin, [], []).
step(8 is 16 // 2, builtin, [], []).
step(collatz(8, [8, 4, 2, 1]),
     rule(5),
     ['N' = 8, 'J' = [4, 2, 1], 'N1' = 4],
     [8 > 1, 0 is 8 mod 2, 4 is 8 // 2, collatz(4, [4, 2, 1])]).
step(8 > 1, builtin, [], []).
step(0 is 8 mod 2, builtin, [], []).
step(4 is 8 // 2, builtin, [], []).
step(collatz(4, [4, 2, 1]),
     rule(5),
     ['N' = 4, 'J' = [2, 1], 'N1' = 2],
     [4 > 1, 0 is 4 mod 2, 2 is 4 // 2, collatz(2, [2, 1])]).
step(4 > 1, builtin, [], []).
step(0 is 4 mod 2, builtin, [], []).
step(2 is 4 // 2, builtin, [], []).
step(collatz(2, [2, 1]),
     rule(5),
     ['N' = 2, 'J' = [1], 'N1' = 1],
     [2 > 1, 0 is 2 mod 2, 1 is 2 // 2, collatz(1, [1])]).
step(2 > 1, builtin, [], []).
step(0 is 2 mod 2, builtin, [], []).
step(1 is 2 // 2, builtin, [], []).
step(collatz(1, [1]), fact(4), [], []).
step(collatzTrajectory(999, [999, 2998, 1499, 4498, 2249, 6748, 3374, 1687, 5062, 2531, 7594, 3797, 11392, 5696, 2848, 1424, 712, 356, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 999,
      'M' = [999, 2998, 1499, 4498, 2249, 6748, 3374, 1687, 5062, 2531, 7594, 3797, 11392, 5696, 2848, 1424, 712, 356, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 1],
     [repeat(1000, 1),
      999 is 1000 - 1,
      collatz(999, [999, 2998, 1499, 4498, 2249, 6748, 3374, 1687, 5062, 2531, 7594, 3797, 11392, 5696, 2848, 1424, 712, 356, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 1),
     rule(3),
     ['N' = 1000, 'I' = 1, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 1)]).
step(between(0, 999, 1), builtin, [], []).
step(collatz(999, [999, 2998, 1499, 4498, 2249, 6748, 3374, 1687, 5062, 2531, 7594, 3797, 11392, 5696, 2848, 1424, 712, 356, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 999,
      'J' = [2998, 1499, 4498, 2249, 6748, 3374, 1687, 5062, 2531, 7594, 3797, 11392, 5696, 2848, 1424, 712, 356, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 2997,
      'N1' = 2998],
     [999 > 1,
      1 is 999 mod 2,
      2997 is 3 * 999,
      2998 is 2997 + 1,
      collatz(2998, [2998, 1499, 4498, 2249, 6748, 3374, 1687, 5062, 2531, 7594, 3797, 11392, 5696, 2848, 1424, 712, 356, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(999 > 1, builtin, [], []).
step(1 is 999 mod 2, builtin, [], []).
step(2997 is 3 * 999, builtin, [], []).
step(2998 is 2997 + 1, builtin, [], []).
step(collatz(2998, [2998, 1499, 4498, 2249, 6748, 3374, 1687, 5062, 2531, 7594, 3797, 11392, 5696, 2848, 1424, 712, 356, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 2998,
      'J' = [1499, 4498, 2249, 6748, 3374, 1687, 5062, 2531, 7594, 3797, 11392, 5696, 2848, 1424, 712, 356, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1499],
     [2998 > 1,
      0 is 2998 mod 2,
      1499 is 2998 // 2,
      collatz(1499, [1499, 4498, 2249, 6748, 3374, 1687, 5062, 2531, 7594, 3797, 11392, 5696, 2848, 1424, 712, 356, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2998 > 1, builtin, [], []).
step(0 is 2998 mod 2, builtin, [], []).
step(1499 is 2998 // 2, builtin, [], []).
step(collatz(1499, [1499, 4498, 2249, 6748, 3374, 1687, 5062, 2531, 7594, 3797, 11392, 5696, 2848, 1424, 712, 356, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 1499,
      'J' = [4498, 2249, 6748, 3374, 1687, 5062, 2531, 7594, 3797, 11392, 5696, 2848, 1424, 712, 356, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 4497,
      'N1' = 4498],
     [1499 > 1,
      1 is 1499 mod 2,
      4497 is 3 * 1499,
      4498 is 4497 + 1,
      collatz(4498, [4498, 2249, 6748, 3374, 1687, 5062, 2531, 7594, 3797, 11392, 5696, 2848, 1424, 712, 356, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1499 > 1, builtin, [], []).
step(1 is 1499 mod 2, builtin, [], []).
step(4497 is 3 * 1499, builtin, [], []).
step(4498 is 4497 + 1, builtin, [], []).
step(collatz(4498, [4498, 2249, 6748, 3374, 1687, 5062, 2531, 7594, 3797, 11392, 5696, 2848, 1424, 712, 356, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 4498,
      'J' = [2249, 6748, 3374, 1687, 5062, 2531, 7594, 3797, 11392, 5696, 2848, 1424, 712, 356, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 2249],
     [4498 > 1,
      0 is 4498 mod 2,
      2249 is 4498 // 2,
      collatz(2249, [2249, 6748, 3374, 1687, 5062, 2531, 7594, 3797, 11392, 5696, 2848, 1424, 712, 356, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(4498 > 1, builtin, [], []).
step(0 is 4498 mod 2, builtin, [], []).
step(2249 is 4498 // 2, builtin, [], []).
step(collatz(2249, [2249, 6748, 3374, 1687, 5062, 2531, 7594, 3797, 11392, 5696, 2848, 1424, 712, 356, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 2249,
      'J' = [6748, 3374, 1687, 5062, 2531, 7594, 3797, 11392, 5696, 2848, 1424, 712, 356, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 6747,
      'N1' = 6748],
     [2249 > 1,
      1 is 2249 mod 2,
      6747 is 3 * 2249,
      6748 is 6747 + 1,
      collatz(6748, [6748, 3374, 1687, 5062, 2531, 7594, 3797, 11392, 5696, 2848, 1424, 712, 356, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2249 > 1, builtin, [], []).
step(1 is 2249 mod 2, builtin, [], []).
step(6747 is 3 * 2249, builtin, [], []).
step(6748 is 6747 + 1, builtin, [], []).
step(collatz(6748, [6748, 3374, 1687, 5062, 2531, 7594, 3797, 11392, 5696, 2848, 1424, 712, 356, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 6748,
      'J' = [3374, 1687, 5062, 2531, 7594, 3797, 11392, 5696, 2848, 1424, 712, 356, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 3374],
     [6748 > 1,
      0 is 6748 mod 2,
      3374 is 6748 // 2,
      collatz(3374, [3374, 1687, 5062, 2531, 7594, 3797, 11392, 5696, 2848, 1424, 712, 356, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(6748 > 1, builtin, [], []).
step(0 is 6748 mod 2, builtin, [], []).
step(3374 is 6748 // 2, builtin, [], []).
step(collatz(3374, [3374, 1687, 5062, 2531, 7594, 3797, 11392, 5696, 2848, 1424, 712, 356, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 3374,
      'J' = [1687, 5062, 2531, 7594, 3797, 11392, 5696, 2848, 1424, 712, 356, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1687],
     [3374 > 1,
      0 is 3374 mod 2,
      1687 is 3374 // 2,
      collatz(1687, [1687, 5062, 2531, 7594, 3797, 11392, 5696, 2848, 1424, 712, 356, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(3374 > 1, builtin, [], []).
step(0 is 3374 mod 2, builtin, [], []).
step(1687 is 3374 // 2, builtin, [], []).
step(collatz(1687, [1687, 5062, 2531, 7594, 3797, 11392, 5696, 2848, 1424, 712, 356, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 1687,
      'J' = [5062, 2531, 7594, 3797, 11392, 5696, 2848, 1424, 712, 356, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 5061,
      'N1' = 5062],
     [1687 > 1,
      1 is 1687 mod 2,
      5061 is 3 * 1687,
      5062 is 5061 + 1,
      collatz(5062, [5062, 2531, 7594, 3797, 11392, 5696, 2848, 1424, 712, 356, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1687 > 1, builtin, [], []).
step(1 is 1687 mod 2, builtin, [], []).
step(5061 is 3 * 1687, builtin, [], []).
step(5062 is 5061 + 1, builtin, [], []).
step(collatz(5062, [5062, 2531, 7594, 3797, 11392, 5696, 2848, 1424, 712, 356, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 5062,
      'J' = [2531, 7594, 3797, 11392, 5696, 2848, 1424, 712, 356, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 2531],
     [5062 > 1,
      0 is 5062 mod 2,
      2531 is 5062 // 2,
      collatz(2531, [2531, 7594, 3797, 11392, 5696, 2848, 1424, 712, 356, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(5062 > 1, builtin, [], []).
step(0 is 5062 mod 2, builtin, [], []).
step(2531 is 5062 // 2, builtin, [], []).
step(collatz(2531, [2531, 7594, 3797, 11392, 5696, 2848, 1424, 712, 356, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 2531,
      'J' = [7594, 3797, 11392, 5696, 2848, 1424, 712, 356, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 7593,
      'N1' = 7594],
     [2531 > 1,
      1 is 2531 mod 2,
      7593 is 3 * 2531,
      7594 is 7593 + 1,
      collatz(7594, [7594, 3797, 11392, 5696, 2848, 1424, 712, 356, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2531 > 1, builtin, [], []).
step(1 is 2531 mod 2, builtin, [], []).
step(7593 is 3 * 2531, builtin, [], []).
step(7594 is 7593 + 1, builtin, [], []).
step(collatz(7594, [7594, 3797, 11392, 5696, 2848, 1424, 712, 356, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 7594,
      'J' = [3797, 11392, 5696, 2848, 1424, 712, 356, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 3797],
     [7594 > 1,
      0 is 7594 mod 2,
      3797 is 7594 // 2,
      collatz(3797, [3797, 11392, 5696, 2848, 1424, 712, 356, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(7594 > 1, builtin, [], []).
step(0 is 7594 mod 2, builtin, [], []).
step(3797 is 7594 // 2, builtin, [], []).
step(collatz(3797, [3797, 11392, 5696, 2848, 1424, 712, 356, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 3797,
      'J' = [11392, 5696, 2848, 1424, 712, 356, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 11391,
      'N1' = 11392],
     [3797 > 1,
      1 is 3797 mod 2,
      11391 is 3 * 3797,
      11392 is 11391 + 1,
      collatz(11392, [11392, 5696, 2848, 1424, 712, 356, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(3797 > 1, builtin, [], []).
step(1 is 3797 mod 2, builtin, [], []).
step(11391 is 3 * 3797, builtin, [], []).
step(11392 is 11391 + 1, builtin, [], []).
step(collatz(11392, [11392, 5696, 2848, 1424, 712, 356, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 11392,
      'J' = [5696, 2848, 1424, 712, 356, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 5696],
     [11392 > 1,
      0 is 11392 mod 2,
      5696 is 11392 // 2,
      collatz(5696, [5696, 2848, 1424, 712, 356, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(11392 > 1, builtin, [], []).
step(0 is 11392 mod 2, builtin, [], []).
step(5696 is 11392 // 2, builtin, [], []).
step(collatz(5696, [5696, 2848, 1424, 712, 356, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 5696,
      'J' = [2848, 1424, 712, 356, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 2848],
     [5696 > 1,
      0 is 5696 mod 2,
      2848 is 5696 // 2,
      collatz(2848, [2848, 1424, 712, 356, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(5696 > 1, builtin, [], []).
step(0 is 5696 mod 2, builtin, [], []).
step(2848 is 5696 // 2, builtin, [], []).
step(collatz(2848, [2848, 1424, 712, 356, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 2848,
      'J' = [1424, 712, 356, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1424],
     [2848 > 1,
      0 is 2848 mod 2,
      1424 is 2848 // 2,
      collatz(1424, [1424, 712, 356, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2848 > 1, builtin, [], []).
step(0 is 2848 mod 2, builtin, [], []).
step(1424 is 2848 // 2, builtin, [], []).
step(collatz(1424, [1424, 712, 356, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1424,
      'J' = [712, 356, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 712],
     [1424 > 1,
      0 is 1424 mod 2,
      712 is 1424 // 2,
      collatz(712, [712, 356, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1424 > 1, builtin, [], []).
step(0 is 1424 mod 2, builtin, [], []).
step(712 is 1424 // 2, builtin, [], []).
step(collatz(712, [712, 356, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 712,
      'J' = [356, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 356],
     [712 > 1,
      0 is 712 mod 2,
      356 is 712 // 2,
      collatz(356, [356, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(712 > 1, builtin, [], []).
step(0 is 712 mod 2, builtin, [], []).
step(356 is 712 // 2, builtin, [], []).
step(collatz(356, [356, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 356,
      'J' = [178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 178],
     [356 > 1,
      0 is 356 mod 2,
      178 is 356 // 2,
      collatz(178, [178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(356 > 1, builtin, [], []).
step(0 is 356 mod 2, builtin, [], []).
step(178 is 356 // 2, builtin, [], []).
step(collatz(178, [178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 178,
      'J' = [89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 89],
     [178 > 1,
      0 is 178 mod 2,
      89 is 178 // 2,
      collatz(89, [89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(178 > 1, builtin, [], []).
step(0 is 178 mod 2, builtin, [], []).
step(89 is 178 // 2, builtin, [], []).
step(collatz(89, [89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 89,
      'J' = [268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 267,
      'N1' = 268],
     [89 > 1,
      1 is 89 mod 2,
      267 is 3 * 89,
      268 is 267 + 1,
      collatz(268, [268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(89 > 1, builtin, [], []).
step(1 is 89 mod 2, builtin, [], []).
step(267 is 3 * 89, builtin, [], []).
step(268 is 267 + 1, builtin, [], []).
step(collatz(268, [268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 268,
      'J' = [134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 134],
     [268 > 1,
      0 is 268 mod 2,
      134 is 268 // 2,
      collatz(134, [134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(268 > 1, builtin, [], []).
step(0 is 268 mod 2, builtin, [], []).
step(134 is 268 // 2, builtin, [], []).
step(collatz(134, [134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 134,
      'J' = [67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 67],
     [134 > 1,
      0 is 134 mod 2,
      67 is 134 // 2,
      collatz(67, [67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(134 > 1, builtin, [], []).
step(0 is 134 mod 2, builtin, [], []).
step(67 is 134 // 2, builtin, [], []).
step(collatz(67, [67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 67,
      'J' = [202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 201,
      'N1' = 202],
     [67 > 1,
      1 is 67 mod 2,
      201 is 3 * 67,
      202 is 201 + 1,
      collatz(202, [202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(67 > 1, builtin, [], []).
step(1 is 67 mod 2, builtin, [], []).
step(201 is 3 * 67, builtin, [], []).
step(202 is 201 + 1, builtin, [], []).
step(collatz(202, [202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 202,
      'J' = [101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 101],
     [202 > 1,
      0 is 202 mod 2,
      101 is 202 // 2,
      collatz(101, [101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(202 > 1, builtin, [], []).
step(0 is 202 mod 2, builtin, [], []).
step(101 is 202 // 2, builtin, [], []).
step(collatz(101, [101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 101,
      'J' = [304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 303,
      'N1' = 304],
     [101 > 1,
      1 is 101 mod 2,
      303 is 3 * 101,
      304 is 303 + 1,
      collatz(304, [304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(101 > 1, builtin, [], []).
step(1 is 101 mod 2, builtin, [], []).
step(303 is 3 * 101, builtin, [], []).
step(304 is 303 + 1, builtin, [], []).
step(collatz(304, [304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 304,
      'J' = [152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 152],
     [304 > 1,
      0 is 304 mod 2,
      152 is 304 // 2,
      collatz(152, [152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(304 > 1, builtin, [], []).
step(0 is 304 mod 2, builtin, [], []).
step(152 is 304 // 2, builtin, [], []).
step(collatz(152, [152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 152,
      'J' = [76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 76],
     [152 > 1,
      0 is 152 mod 2,
      76 is 152 // 2,
      collatz(76, [76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(152 > 1, builtin, [], []).
step(0 is 152 mod 2, builtin, [], []).
step(76 is 152 // 2, builtin, [], []).
step(collatz(76, [76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 76,
      'J' = [38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 38],
     [76 > 1,
      0 is 76 mod 2,
      38 is 76 // 2,
      collatz(38, [38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(76 > 1, builtin, [], []).
step(0 is 76 mod 2, builtin, [], []).
step(38 is 76 // 2, builtin, [], []).
step(collatz(38, [38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 38,
      'J' = [19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 19],
     [38 > 1,
      0 is 38 mod 2,
      19 is 38 // 2,
      collatz(19, [19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(38 > 1, builtin, [], []).
step(0 is 38 mod 2, builtin, [], []).
step(19 is 38 // 2, builtin, [], []).
step(collatz(19, [19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 19,
      'J' = [58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 57,
      'N1' = 58],
     [19 > 1,
      1 is 19 mod 2,
      57 is 3 * 19,
      58 is 57 + 1,
      collatz(58, [58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(19 > 1, builtin, [], []).
step(1 is 19 mod 2, builtin, [], []).
step(57 is 3 * 19, builtin, [], []).
step(58 is 57 + 1, builtin, [], []).
step(collatz(58, [58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 58,
      'J' = [29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 29],
     [58 > 1,
      0 is 58 mod 2,
      29 is 58 // 2,
      collatz(29, [29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(58 > 1, builtin, [], []).
step(0 is 58 mod 2, builtin, [], []).
step(29 is 58 // 2, builtin, [], []).
step(collatz(29, [29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 29,
      'J' = [88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 87,
      'N1' = 88],
     [29 > 1,
      1 is 29 mod 2,
      87 is 3 * 29,
      88 is 87 + 1,
      collatz(88, [88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(29 > 1, builtin, [], []).
step(1 is 29 mod 2, builtin, [], []).
step(87 is 3 * 29, builtin, [], []).
step(88 is 87 + 1, builtin, [], []).
step(collatz(88, [88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 88,
      'J' = [44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 44],
     [88 > 1,
      0 is 88 mod 2,
      44 is 88 // 2,
      collatz(44, [44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(88 > 1, builtin, [], []).
step(0 is 88 mod 2, builtin, [], []).
step(44 is 88 // 2, builtin, [], []).
step(collatz(44, [44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 44, 'J' = [22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1], 'N1' = 22],
     [44 > 1,
      0 is 44 mod 2,
      22 is 44 // 2,
      collatz(22, [22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(44 > 1, builtin, [], []).
step(0 is 44 mod 2, builtin, [], []).
step(22 is 44 // 2, builtin, [], []).
step(collatz(22, [22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 22, 'J' = [11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1], 'N1' = 11],
     [22 > 1,
      0 is 22 mod 2,
      11 is 22 // 2,
      collatz(11, [11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(22 > 1, builtin, [], []).
step(0 is 22 mod 2, builtin, [], []).
step(11 is 22 // 2, builtin, [], []).
step(collatz(11, [11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 11, 'J' = [34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1], 'T' = 33, 'N1' = 34],
     [11 > 1,
      1 is 11 mod 2,
      33 is 3 * 11,
      34 is 33 + 1,
      collatz(34, [34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(11 > 1, builtin, [], []).
step(1 is 11 mod 2, builtin, [], []).
step(33 is 3 * 11, builtin, [], []).
step(34 is 33 + 1, builtin, [], []).
step(collatz(34, [34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 34, 'J' = [17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1], 'N1' = 17],
     [34 > 1,
      0 is 34 mod 2,
      17 is 34 // 2,
      collatz(17, [17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(34 > 1, builtin, [], []).
step(0 is 34 mod 2, builtin, [], []).
step(17 is 34 // 2, builtin, [], []).
step(collatz(17, [17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 17, 'J' = [52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1], 'T' = 51, 'N1' = 52],
     [17 > 1,
      1 is 17 mod 2,
      51 is 3 * 17,
      52 is 51 + 1,
      collatz(52, [52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(17 > 1, builtin, [], []).
step(1 is 17 mod 2, builtin, [], []).
step(51 is 3 * 17, builtin, [], []).
step(52 is 51 + 1, builtin, [], []).
step(collatz(52, [52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 52, 'J' = [26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1], 'N1' = 26],
     [52 > 1,
      0 is 52 mod 2,
      26 is 52 // 2,
      collatz(26, [26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(52 > 1, builtin, [], []).
step(0 is 52 mod 2, builtin, [], []).
step(26 is 52 // 2, builtin, [], []).
step(collatz(26, [26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 26, 'J' = [13, 40, 20, 10, 5, 16, 8, 4, 2, 1], 'N1' = 13],
     [26 > 1, 0 is 26 mod 2, 13 is 26 // 2, collatz(13, [13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(26 > 1, builtin, [], []).
step(0 is 26 mod 2, builtin, [], []).
step(13 is 26 // 2, builtin, [], []).
step(collatz(13, [13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 13, 'J' = [40, 20, 10, 5, 16, 8, 4, 2, 1], 'T' = 39, 'N1' = 40],
     [13 > 1,
      1 is 13 mod 2,
      39 is 3 * 13,
      40 is 39 + 1,
      collatz(40, [40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(13 > 1, builtin, [], []).
step(1 is 13 mod 2, builtin, [], []).
step(39 is 3 * 13, builtin, [], []).
step(40 is 39 + 1, builtin, [], []).
step(collatzTrajectory(998, [998, 499, 1498, 749, 2248, 1124, 562, 281, 844, 422, 211, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 998,
      'M' = [998, 499, 1498, 749, 2248, 1124, 562, 281, 844, 422, 211, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 2],
     [repeat(1000, 2),
      998 is 1000 - 2,
      collatz(998, [998, 499, 1498, 749, 2248, 1124, 562, 281, 844, 422, 211, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 2),
     rule(3),
     ['N' = 1000, 'I' = 2, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 2)]).
step(between(0, 999, 2), builtin, [], []).
step(998 is 1000 - 2, builtin, [], []).
step(collatz(998, [998, 499, 1498, 749, 2248, 1124, 562, 281, 844, 422, 211, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 998,
      'J' = [499, 1498, 749, 2248, 1124, 562, 281, 844, 422, 211, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 499],
     [998 > 1,
      0 is 998 mod 2,
      499 is 998 // 2,
      collatz(499, [499, 1498, 749, 2248, 1124, 562, 281, 844, 422, 211, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(998 > 1, builtin, [], []).
step(0 is 998 mod 2, builtin, [], []).
step(499 is 998 // 2, builtin, [], []).
step(collatz(499, [499, 1498, 749, 2248, 1124, 562, 281, 844, 422, 211, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 499,
      'J' = [1498, 749, 2248, 1124, 562, 281, 844, 422, 211, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 1497,
      'N1' = 1498],
     [499 > 1,
      1 is 499 mod 2,
      1497 is 3 * 499,
      1498 is 1497 + 1,
      collatz(1498, [1498, 749, 2248, 1124, 562, 281, 844, 422, 211, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(499 > 1, builtin, [], []).
step(1 is 499 mod 2, builtin, [], []).
step(1497 is 3 * 499, builtin, [], []).
step(1498 is 1497 + 1, builtin, [], []).
step(collatz(1498, [1498, 749, 2248, 1124, 562, 281, 844, 422, 211, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1498,
      'J' = [749, 2248, 1124, 562, 281, 844, 422, 211, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 749],
     [1498 > 1,
      0 is 1498 mod 2,
      749 is 1498 // 2,
      collatz(749, [749, 2248, 1124, 562, 281, 844, 422, 211, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1498 > 1, builtin, [], []).
step(0 is 1498 mod 2, builtin, [], []).
step(749 is 1498 // 2, builtin, [], []).
step(collatz(749, [749, 2248, 1124, 562, 281, 844, 422, 211, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 749,
      'J' = [2248, 1124, 562, 281, 844, 422, 211, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 2247,
      'N1' = 2248],
     [749 > 1,
      1 is 749 mod 2,
      2247 is 3 * 749,
      2248 is 2247 + 1,
      collatz(2248, [2248, 1124, 562, 281, 844, 422, 211, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(749 > 1, builtin, [], []).
step(1 is 749 mod 2, builtin, [], []).
step(2247 is 3 * 749, builtin, [], []).
step(2248 is 2247 + 1, builtin, [], []).
step(collatz(2248, [2248, 1124, 562, 281, 844, 422, 211, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 2248,
      'J' = [1124, 562, 281, 844, 422, 211, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1124],
     [2248 > 1,
      0 is 2248 mod 2,
      1124 is 2248 // 2,
      collatz(1124, [1124, 562, 281, 844, 422, 211, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2248 > 1, builtin, [], []).
step(0 is 2248 mod 2, builtin, [], []).
step(1124 is 2248 // 2, builtin, [], []).
step(collatz(1124, [1124, 562, 281, 844, 422, 211, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1124,
      'J' = [562, 281, 844, 422, 211, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 562],
     [1124 > 1,
      0 is 1124 mod 2,
      562 is 1124 // 2,
      collatz(562, [562, 281, 844, 422, 211, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1124 > 1, builtin, [], []).
step(0 is 1124 mod 2, builtin, [], []).
step(562 is 1124 // 2, builtin, [], []).
step(collatz(562, [562, 281, 844, 422, 211, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 562,
      'J' = [281, 844, 422, 211, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 281],
     [562 > 1,
      0 is 562 mod 2,
      281 is 562 // 2,
      collatz(281, [281, 844, 422, 211, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(562 > 1, builtin, [], []).
step(0 is 562 mod 2, builtin, [], []).
step(281 is 562 // 2, builtin, [], []).
step(collatz(281, [281, 844, 422, 211, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 281,
      'J' = [844, 422, 211, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 843,
      'N1' = 844],
     [281 > 1,
      1 is 281 mod 2,
      843 is 3 * 281,
      844 is 843 + 1,
      collatz(844, [844, 422, 211, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(281 > 1, builtin, [], []).
step(1 is 281 mod 2, builtin, [], []).
step(843 is 3 * 281, builtin, [], []).
step(844 is 843 + 1, builtin, [], []).
step(collatz(844, [844, 422, 211, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 844,
      'J' = [422, 211, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 422],
     [844 > 1,
      0 is 844 mod 2,
      422 is 844 // 2,
      collatz(422, [422, 211, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(844 > 1, builtin, [], []).
step(0 is 844 mod 2, builtin, [], []).
step(422 is 844 // 2, builtin, [], []).
step(collatz(422, [422, 211, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 422,
      'J' = [211, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 211],
     [422 > 1,
      0 is 422 mod 2,
      211 is 422 // 2,
      collatz(211, [211, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(422 > 1, builtin, [], []).
step(0 is 422 mod 2, builtin, [], []).
step(211 is 422 // 2, builtin, [], []).
step(collatz(211, [211, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 211,
      'J' = [634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 633,
      'N1' = 634],
     [211 > 1,
      1 is 211 mod 2,
      633 is 3 * 211,
      634 is 633 + 1,
      collatz(634, [634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(211 > 1, builtin, [], []).
step(1 is 211 mod 2, builtin, [], []).
step(633 is 3 * 211, builtin, [], []).
step(634 is 633 + 1, builtin, [], []).
step(collatz(634, [634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 634,
      'J' = [317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 317],
     [634 > 1,
      0 is 634 mod 2,
      317 is 634 // 2,
      collatz(317, [317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(634 > 1, builtin, [], []).
step(0 is 634 mod 2, builtin, [], []).
step(317 is 634 // 2, builtin, [], []).
step(collatz(317, [317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 317,
      'J' = [952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 951,
      'N1' = 952],
     [317 > 1,
      1 is 317 mod 2,
      951 is 3 * 317,
      952 is 951 + 1,
      collatz(952, [952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(317 > 1, builtin, [], []).
step(1 is 317 mod 2, builtin, [], []).
step(951 is 3 * 317, builtin, [], []).
step(952 is 951 + 1, builtin, [], []).
step(collatz(952, [952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 952,
      'J' = [476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 476],
     [952 > 1,
      0 is 952 mod 2,
      476 is 952 // 2,
      collatz(476, [476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(952 > 1, builtin, [], []).
step(0 is 952 mod 2, builtin, [], []).
step(476 is 952 // 2, builtin, [], []).
step(collatz(476, [476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 476,
      'J' = [238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 238],
     [476 > 1,
      0 is 476 mod 2,
      238 is 476 // 2,
      collatz(238, [238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(476 > 1, builtin, [], []).
step(0 is 476 mod 2, builtin, [], []).
step(238 is 476 // 2, builtin, [], []).
step(collatz(238, [238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 238,
      'J' = [119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 119],
     [238 > 1,
      0 is 238 mod 2,
      119 is 238 // 2,
      collatz(119, [119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(238 > 1, builtin, [], []).
step(0 is 238 mod 2, builtin, [], []).
step(119 is 238 // 2, builtin, [], []).
step(collatz(119, [119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 119,
      'J' = [358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 357,
      'N1' = 358],
     [119 > 1,
      1 is 119 mod 2,
      357 is 3 * 119,
      358 is 357 + 1,
      collatz(358, [358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(119 > 1, builtin, [], []).
step(1 is 119 mod 2, builtin, [], []).
step(357 is 3 * 119, builtin, [], []).
step(358 is 357 + 1, builtin, [], []).
step(collatz(358, [358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 358,
      'J' = [179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 179],
     [358 > 1,
      0 is 358 mod 2,
      179 is 358 // 2,
      collatz(179, [179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(358 > 1, builtin, [], []).
step(0 is 358 mod 2, builtin, [], []).
step(179 is 358 // 2, builtin, [], []).
step(collatz(179, [179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 179,
      'J' = [538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 537,
      'N1' = 538],
     [179 > 1,
      1 is 179 mod 2,
      537 is 3 * 179,
      538 is 537 + 1,
      collatz(538, [538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(179 > 1, builtin, [], []).
step(1 is 179 mod 2, builtin, [], []).
step(537 is 3 * 179, builtin, [], []).
step(538 is 537 + 1, builtin, [], []).
step(collatz(538, [538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 538,
      'J' = [269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 269],
     [538 > 1,
      0 is 538 mod 2,
      269 is 538 // 2,
      collatz(269, [269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(538 > 1, builtin, [], []).
step(0 is 538 mod 2, builtin, [], []).
step(269 is 538 // 2, builtin, [], []).
step(collatz(269, [269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 269,
      'J' = [808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 807,
      'N1' = 808],
     [269 > 1,
      1 is 269 mod 2,
      807 is 3 * 269,
      808 is 807 + 1,
      collatz(808, [808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(269 > 1, builtin, [], []).
step(1 is 269 mod 2, builtin, [], []).
step(807 is 3 * 269, builtin, [], []).
step(808 is 807 + 1, builtin, [], []).
step(collatz(808, [808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 808,
      'J' = [404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 404],
     [808 > 1,
      0 is 808 mod 2,
      404 is 808 // 2,
      collatz(404, [404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(808 > 1, builtin, [], []).
step(0 is 808 mod 2, builtin, [], []).
step(404 is 808 // 2, builtin, [], []).
step(collatz(404, [404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 404,
      'J' = [202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 202],
     [404 > 1,
      0 is 404 mod 2,
      202 is 404 // 2,
      collatz(202, [202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(404 > 1, builtin, [], []).
step(0 is 404 mod 2, builtin, [], []).
step(202 is 404 // 2, builtin, [], []).
step(collatzTrajectory(997, [997, 2992, 1496, 748, 374, 187, 562, 281, 844, 422, 211, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 997,
      'M' = [997, 2992, 1496, 748, 374, 187, 562, 281, 844, 422, 211, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 3],
     [repeat(1000, 3),
      997 is 1000 - 3,
      collatz(997, [997, 2992, 1496, 748, 374, 187, 562, 281, 844, 422, 211, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 3),
     rule(3),
     ['N' = 1000, 'I' = 3, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 3)]).
step(between(0, 999, 3), builtin, [], []).
step(997 is 1000 - 3, builtin, [], []).
step(collatz(997, [997, 2992, 1496, 748, 374, 187, 562, 281, 844, 422, 211, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 997,
      'J' = [2992, 1496, 748, 374, 187, 562, 281, 844, 422, 211, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 2991,
      'N1' = 2992],
     [997 > 1,
      1 is 997 mod 2,
      2991 is 3 * 997,
      2992 is 2991 + 1,
      collatz(2992, [2992, 1496, 748, 374, 187, 562, 281, 844, 422, 211, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(997 > 1, builtin, [], []).
step(1 is 997 mod 2, builtin, [], []).
step(2991 is 3 * 997, builtin, [], []).
step(2992 is 2991 + 1, builtin, [], []).
step(collatz(2992, [2992, 1496, 748, 374, 187, 562, 281, 844, 422, 211, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 2992,
      'J' = [1496, 748, 374, 187, 562, 281, 844, 422, 211, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1496],
     [2992 > 1,
      0 is 2992 mod 2,
      1496 is 2992 // 2,
      collatz(1496, [1496, 748, 374, 187, 562, 281, 844, 422, 211, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2992 > 1, builtin, [], []).
step(0 is 2992 mod 2, builtin, [], []).
step(1496 is 2992 // 2, builtin, [], []).
step(collatz(1496, [1496, 748, 374, 187, 562, 281, 844, 422, 211, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1496,
      'J' = [748, 374, 187, 562, 281, 844, 422, 211, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 748],
     [1496 > 1,
      0 is 1496 mod 2,
      748 is 1496 // 2,
      collatz(748, [748, 374, 187, 562, 281, 844, 422, 211, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1496 > 1, builtin, [], []).
step(0 is 1496 mod 2, builtin, [], []).
step(748 is 1496 // 2, builtin, [], []).
step(collatz(748, [748, 374, 187, 562, 281, 844, 422, 211, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 748,
      'J' = [374, 187, 562, 281, 844, 422, 211, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 374],
     [748 > 1,
      0 is 748 mod 2,
      374 is 748 // 2,
      collatz(374, [374, 187, 562, 281, 844, 422, 211, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(748 > 1, builtin, [], []).
step(0 is 748 mod 2, builtin, [], []).
step(374 is 748 // 2, builtin, [], []).
step(collatz(374, [374, 187, 562, 281, 844, 422, 211, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 374,
      'J' = [187, 562, 281, 844, 422, 211, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 187],
     [374 > 1,
      0 is 374 mod 2,
      187 is 374 // 2,
      collatz(187, [187, 562, 281, 844, 422, 211, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(374 > 1, builtin, [], []).
step(0 is 374 mod 2, builtin, [], []).
step(187 is 374 // 2, builtin, [], []).
step(collatz(187, [187, 562, 281, 844, 422, 211, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 187,
      'J' = [562, 281, 844, 422, 211, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 561,
      'N1' = 562],
     [187 > 1,
      1 is 187 mod 2,
      561 is 3 * 187,
      562 is 561 + 1,
      collatz(562, [562, 281, 844, 422, 211, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(187 > 1, builtin, [], []).
step(1 is 187 mod 2, builtin, [], []).
step(561 is 3 * 187, builtin, [], []).
step(562 is 561 + 1, builtin, [], []).
step(collatzTrajectory(996, [996, 498, 249, 748, 374, 187, 562, 281, 844, 422, 211, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 996,
      'M' = [996, 498, 249, 748, 374, 187, 562, 281, 844, 422, 211, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 4],
     [repeat(1000, 4),
      996 is 1000 - 4,
      collatz(996, [996, 498, 249, 748, 374, 187, 562, 281, 844, 422, 211, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 4),
     rule(3),
     ['N' = 1000, 'I' = 4, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 4)]).
step(between(0, 999, 4), builtin, [], []).
step(996 is 1000 - 4, builtin, [], []).
step(collatz(996, [996, 498, 249, 748, 374, 187, 562, 281, 844, 422, 211, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 996,
      'J' = [498, 249, 748, 374, 187, 562, 281, 844, 422, 211, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 498],
     [996 > 1,
      0 is 996 mod 2,
      498 is 996 // 2,
      collatz(498, [498, 249, 748, 374, 187, 562, 281, 844, 422, 211, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(996 > 1, builtin, [], []).
step(0 is 996 mod 2, builtin, [], []).
step(498 is 996 // 2, builtin, [], []).
step(collatz(498, [498, 249, 748, 374, 187, 562, 281, 844, 422, 211, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 498,
      'J' = [249, 748, 374, 187, 562, 281, 844, 422, 211, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 249],
     [498 > 1,
      0 is 498 mod 2,
      249 is 498 // 2,
      collatz(249, [249, 748, 374, 187, 562, 281, 844, 422, 211, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(498 > 1, builtin, [], []).
step(0 is 498 mod 2, builtin, [], []).
step(249 is 498 // 2, builtin, [], []).
step(collatz(249, [249, 748, 374, 187, 562, 281, 844, 422, 211, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 249,
      'J' = [748, 374, 187, 562, 281, 844, 422, 211, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 747,
      'N1' = 748],
     [249 > 1,
      1 is 249 mod 2,
      747 is 3 * 249,
      748 is 747 + 1,
      collatz(748, [748, 374, 187, 562, 281, 844, 422, 211, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(249 > 1, builtin, [], []).
step(1 is 249 mod 2, builtin, [], []).
step(747 is 3 * 249, builtin, [], []).
step(748 is 747 + 1, builtin, [], []).
step(collatzTrajectory(995, [995, 2986, 1493, 4480, 2240, 1120, 560, 280, 140, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 995,
      'M' = [995, 2986, 1493, 4480, 2240, 1120, 560, 280, 140, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 5],
     [repeat(1000, 5),
      995 is 1000 - 5,
      collatz(995, [995, 2986, 1493, 4480, 2240, 1120, 560, 280, 140, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 5),
     rule(3),
     ['N' = 1000, 'I' = 5, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 5)]).
step(between(0, 999, 5), builtin, [], []).
step(995 is 1000 - 5, builtin, [], []).
step(collatz(995, [995, 2986, 1493, 4480, 2240, 1120, 560, 280, 140, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 995,
      'J' = [2986, 1493, 4480, 2240, 1120, 560, 280, 140, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 2985,
      'N1' = 2986],
     [995 > 1,
      1 is 995 mod 2,
      2985 is 3 * 995,
      2986 is 2985 + 1,
      collatz(2986, [2986, 1493, 4480, 2240, 1120, 560, 280, 140, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(995 > 1, builtin, [], []).
step(1 is 995 mod 2, builtin, [], []).
step(2985 is 3 * 995, builtin, [], []).
step(2986 is 2985 + 1, builtin, [], []).
step(collatz(2986, [2986, 1493, 4480, 2240, 1120, 560, 280, 140, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 2986,
      'J' = [1493, 4480, 2240, 1120, 560, 280, 140, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1493],
     [2986 > 1,
      0 is 2986 mod 2,
      1493 is 2986 // 2,
      collatz(1493, [1493, 4480, 2240, 1120, 560, 280, 140, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2986 > 1, builtin, [], []).
step(0 is 2986 mod 2, builtin, [], []).
step(1493 is 2986 // 2, builtin, [], []).
step(collatz(1493, [1493, 4480, 2240, 1120, 560, 280, 140, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 1493,
      'J' = [4480, 2240, 1120, 560, 280, 140, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 4479,
      'N1' = 4480],
     [1493 > 1,
      1 is 1493 mod 2,
      4479 is 3 * 1493,
      4480 is 4479 + 1,
      collatz(4480, [4480, 2240, 1120, 560, 280, 140, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1493 > 1, builtin, [], []).
step(1 is 1493 mod 2, builtin, [], []).
step(4479 is 3 * 1493, builtin, [], []).
step(4480 is 4479 + 1, builtin, [], []).
step(collatz(4480, [4480, 2240, 1120, 560, 280, 140, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 4480,
      'J' = [2240, 1120, 560, 280, 140, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 2240],
     [4480 > 1,
      0 is 4480 mod 2,
      2240 is 4480 // 2,
      collatz(2240, [2240, 1120, 560, 280, 140, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(4480 > 1, builtin, [], []).
step(0 is 4480 mod 2, builtin, [], []).
step(2240 is 4480 // 2, builtin, [], []).
step(collatz(2240, [2240, 1120, 560, 280, 140, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 2240,
      'J' = [1120, 560, 280, 140, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1120],
     [2240 > 1,
      0 is 2240 mod 2,
      1120 is 2240 // 2,
      collatz(1120, [1120, 560, 280, 140, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2240 > 1, builtin, [], []).
step(0 is 2240 mod 2, builtin, [], []).
step(1120 is 2240 // 2, builtin, [], []).
step(collatz(1120, [1120, 560, 280, 140, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1120,
      'J' = [560, 280, 140, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 560],
     [1120 > 1,
      0 is 1120 mod 2,
      560 is 1120 // 2,
      collatz(560, [560, 280, 140, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1120 > 1, builtin, [], []).
step(0 is 1120 mod 2, builtin, [], []).
step(560 is 1120 // 2, builtin, [], []).
step(collatz(560, [560, 280, 140, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 560,
      'J' = [280, 140, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 280],
     [560 > 1,
      0 is 560 mod 2,
      280 is 560 // 2,
      collatz(280, [280, 140, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(560 > 1, builtin, [], []).
step(0 is 560 mod 2, builtin, [], []).
step(280 is 560 // 2, builtin, [], []).
step(collatz(280, [280, 140, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 280,
      'J' = [140, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 140],
     [280 > 1,
      0 is 280 mod 2,
      140 is 280 // 2,
      collatz(140, [140, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(280 > 1, builtin, [], []).
step(0 is 280 mod 2, builtin, [], []).
step(140 is 280 // 2, builtin, [], []).
step(collatz(140, [140, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 140, 'J' = [70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1], 'N1' = 70],
     [140 > 1,
      0 is 140 mod 2,
      70 is 140 // 2,
      collatz(70, [70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(140 > 1, builtin, [], []).
step(0 is 140 mod 2, builtin, [], []).
step(70 is 140 // 2, builtin, [], []).
step(collatzTrajectory(994, [994, 497, 1492, 746, 373, 1120, 560, 280, 140, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 994,
      'M' = [994, 497, 1492, 746, 373, 1120, 560, 280, 140, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 6],
     [repeat(1000, 6),
      994 is 1000 - 6,
      collatz(994, [994, 497, 1492, 746, 373, 1120, 560, 280, 140, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 6),
     rule(3),
     ['N' = 1000, 'I' = 6, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 6)]).
step(between(0, 999, 6), builtin, [], []).
step(994 is 1000 - 6, builtin, [], []).
step(collatz(994, [994, 497, 1492, 746, 373, 1120, 560, 280, 140, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 994,
      'J' = [497, 1492, 746, 373, 1120, 560, 280, 140, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 497],
     [994 > 1,
      0 is 994 mod 2,
      497 is 994 // 2,
      collatz(497, [497, 1492, 746, 373, 1120, 560, 280, 140, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(994 > 1, builtin, [], []).
step(0 is 994 mod 2, builtin, [], []).
step(497 is 994 // 2, builtin, [], []).
step(collatz(497, [497, 1492, 746, 373, 1120, 560, 280, 140, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 497,
      'J' = [1492, 746, 373, 1120, 560, 280, 140, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 1491,
      'N1' = 1492],
     [497 > 1,
      1 is 497 mod 2,
      1491 is 3 * 497,
      1492 is 1491 + 1,
      collatz(1492, [1492, 746, 373, 1120, 560, 280, 140, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(497 > 1, builtin, [], []).
step(1 is 497 mod 2, builtin, [], []).
step(1491 is 3 * 497, builtin, [], []).
step(1492 is 1491 + 1, builtin, [], []).
step(collatz(1492, [1492, 746, 373, 1120, 560, 280, 140, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1492,
      'J' = [746, 373, 1120, 560, 280, 140, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 746],
     [1492 > 1,
      0 is 1492 mod 2,
      746 is 1492 // 2,
      collatz(746, [746, 373, 1120, 560, 280, 140, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1492 > 1, builtin, [], []).
step(0 is 1492 mod 2, builtin, [], []).
step(746 is 1492 // 2, builtin, [], []).
step(collatz(746, [746, 373, 1120, 560, 280, 140, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 746,
      'J' = [373, 1120, 560, 280, 140, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 373],
     [746 > 1,
      0 is 746 mod 2,
      373 is 746 // 2,
      collatz(373, [373, 1120, 560, 280, 140, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(746 > 1, builtin, [], []).
step(0 is 746 mod 2, builtin, [], []).
step(373 is 746 // 2, builtin, [], []).
step(collatz(373, [373, 1120, 560, 280, 140, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 373,
      'J' = [1120, 560, 280, 140, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 1119,
      'N1' = 1120],
     [373 > 1,
      1 is 373 mod 2,
      1119 is 3 * 373,
      1120 is 1119 + 1,
      collatz(1120, [1120, 560, 280, 140, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(373 > 1, builtin, [], []).
step(1 is 373 mod 2, builtin, [], []).
step(1119 is 3 * 373, builtin, [], []).
step(1120 is 1119 + 1, builtin, [], []).
step(collatzTrajectory(993, [993, 2980, 1490, 745, 2236, 1118, 559, 1678, 839, 2518, 1259, 3778, 1889, 5668, 2834, 1417, 4252, 2126, 1063, 3190, 1595, 4786, 2393, 7180, 3590, 1795, 5386, 2693, 8080, 4040, 2020, 1010, 505, 1516, 758, 379, 1138, 569, 1708, 854, 427, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 993,
      'M' = [993, 2980, 1490, 745, 2236, 1118, 559, 1678, 839, 2518, 1259, 3778, 1889, 5668, 2834, 1417, 4252, 2126, 1063, 3190, 1595, 4786, 2393, 7180, 3590, 1795, 5386, 2693, 8080, 4040, 2020, 1010, 505, 1516, 758, 379, 1138, 569, 1708, 854, 427, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 7],
     [repeat(1000, 7),
      993 is 1000 - 7,
      collatz(993, [993, 2980, 1490, 745, 2236, 1118, 559, 1678, 839, 2518, 1259, 3778, 1889, 5668, 2834, 1417, 4252, 2126, 1063, 3190, 1595, 4786, 2393, 7180, 3590, 1795, 5386, 2693, 8080, 4040, 2020, 1010, 505, 1516, 758, 379, 1138, 569, 1708, 854, 427, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 7),
     rule(3),
     ['N' = 1000, 'I' = 7, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 7)]).
step(between(0, 999, 7), builtin, [], []).
step(993 is 1000 - 7, builtin, [], []).
step(collatz(993, [993, 2980, 1490, 745, 2236, 1118, 559, 1678, 839, 2518, 1259, 3778, 1889, 5668, 2834, 1417, 4252, 2126, 1063, 3190, 1595, 4786, 2393, 7180, 3590, 1795, 5386, 2693, 8080, 4040, 2020, 1010, 505, 1516, 758, 379, 1138, 569, 1708, 854, 427, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 993,
      'J' = [2980, 1490, 745, 2236, 1118, 559, 1678, 839, 2518, 1259, 3778, 1889, 5668, 2834, 1417, 4252, 2126, 1063, 3190, 1595, 4786, 2393, 7180, 3590, 1795, 5386, 2693, 8080, 4040, 2020, 1010, 505, 1516, 758, 379, 1138, 569, 1708, 854, 427, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 2979,
      'N1' = 2980],
     [993 > 1,
      1 is 993 mod 2,
      2979 is 3 * 993,
      2980 is 2979 + 1,
      collatz(2980, [2980, 1490, 745, 2236, 1118, 559, 1678, 839, 2518, 1259, 3778, 1889, 5668, 2834, 1417, 4252, 2126, 1063, 3190, 1595, 4786, 2393, 7180, 3590, 1795, 5386, 2693, 8080, 4040, 2020, 1010, 505, 1516, 758, 379, 1138, 569, 1708, 854, 427, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(993 > 1, builtin, [], []).
step(1 is 993 mod 2, builtin, [], []).
step(2979 is 3 * 993, builtin, [], []).
step(2980 is 2979 + 1, builtin, [], []).
step(collatz(2980, [2980, 1490, 745, 2236, 1118, 559, 1678, 839, 2518, 1259, 3778, 1889, 5668, 2834, 1417, 4252, 2126, 1063, 3190, 1595, 4786, 2393, 7180, 3590, 1795, 5386, 2693, 8080, 4040, 2020, 1010, 505, 1516, 758, 379, 1138, 569, 1708, 854, 427, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 2980,
      'J' = [1490, 745, 2236, 1118, 559, 1678, 839, 2518, 1259, 3778, 1889, 5668, 2834, 1417, 4252, 2126, 1063, 3190, 1595, 4786, 2393, 7180, 3590, 1795, 5386, 2693, 8080, 4040, 2020, 1010, 505, 1516, 758, 379, 1138, 569, 1708, 854, 427, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1490],
     [2980 > 1,
      0 is 2980 mod 2,
      1490 is 2980 // 2,
      collatz(1490, [1490, 745, 2236, 1118, 559, 1678, 839, 2518, 1259, 3778, 1889, 5668, 2834, 1417, 4252, 2126, 1063, 3190, 1595, 4786, 2393, 7180, 3590, 1795, 5386, 2693, 8080, 4040, 2020, 1010, 505, 1516, 758, 379, 1138, 569, 1708, 854, 427, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2980 > 1, builtin, [], []).
step(0 is 2980 mod 2, builtin, [], []).
step(1490 is 2980 // 2, builtin, [], []).
step(collatz(1490, [1490, 745, 2236, 1118, 559, 1678, 839, 2518, 1259, 3778, 1889, 5668, 2834, 1417, 4252, 2126, 1063, 3190, 1595, 4786, 2393, 7180, 3590, 1795, 5386, 2693, 8080, 4040, 2020, 1010, 505, 1516, 758, 379, 1138, 569, 1708, 854, 427, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1490,
      'J' = [745, 2236, 1118, 559, 1678, 839, 2518, 1259, 3778, 1889, 5668, 2834, 1417, 4252, 2126, 1063, 3190, 1595, 4786, 2393, 7180, 3590, 1795, 5386, 2693, 8080, 4040, 2020, 1010, 505, 1516, 758, 379, 1138, 569, 1708, 854, 427, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 745],
     [1490 > 1,
      0 is 1490 mod 2,
      745 is 1490 // 2,
      collatz(745, [745, 2236, 1118, 559, 1678, 839, 2518, 1259, 3778, 1889, 5668, 2834, 1417, 4252, 2126, 1063, 3190, 1595, 4786, 2393, 7180, 3590, 1795, 5386, 2693, 8080, 4040, 2020, 1010, 505, 1516, 758, 379, 1138, 569, 1708, 854, 427, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1490 > 1, builtin, [], []).
step(0 is 1490 mod 2, builtin, [], []).
step(745 is 1490 // 2, builtin, [], []).
step(collatz(745, [745, 2236, 1118, 559, 1678, 839, 2518, 1259, 3778, 1889, 5668, 2834, 1417, 4252, 2126, 1063, 3190, 1595, 4786, 2393, 7180, 3590, 1795, 5386, 2693, 8080, 4040, 2020, 1010, 505, 1516, 758, 379, 1138, 569, 1708, 854, 427, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 745,
      'J' = [2236, 1118, 559, 1678, 839, 2518, 1259, 3778, 1889, 5668, 2834, 1417, 4252, 2126, 1063, 3190, 1595, 4786, 2393, 7180, 3590, 1795, 5386, 2693, 8080, 4040, 2020, 1010, 505, 1516, 758, 379, 1138, 569, 1708, 854, 427, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 2235,
      'N1' = 2236],
     [745 > 1,
      1 is 745 mod 2,
      2235 is 3 * 745,
      2236 is 2235 + 1,
      collatz(2236, [2236, 1118, 559, 1678, 839, 2518, 1259, 3778, 1889, 5668, 2834, 1417, 4252, 2126, 1063, 3190, 1595, 4786, 2393, 7180, 3590, 1795, 5386, 2693, 8080, 4040, 2020, 1010, 505, 1516, 758, 379, 1138, 569, 1708, 854, 427, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(745 > 1, builtin, [], []).
step(1 is 745 mod 2, builtin, [], []).
step(2235 is 3 * 745, builtin, [], []).
step(2236 is 2235 + 1, builtin, [], []).
step(collatz(2236, [2236, 1118, 559, 1678, 839, 2518, 1259, 3778, 1889, 5668, 2834, 1417, 4252, 2126, 1063, 3190, 1595, 4786, 2393, 7180, 3590, 1795, 5386, 2693, 8080, 4040, 2020, 1010, 505, 1516, 758, 379, 1138, 569, 1708, 854, 427, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 2236,
      'J' = [1118, 559, 1678, 839, 2518, 1259, 3778, 1889, 5668, 2834, 1417, 4252, 2126, 1063, 3190, 1595, 4786, 2393, 7180, 3590, 1795, 5386, 2693, 8080, 4040, 2020, 1010, 505, 1516, 758, 379, 1138, 569, 1708, 854, 427, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1118],
     [2236 > 1,
      0 is 2236 mod 2,
      1118 is 2236 // 2,
      collatz(1118, [1118, 559, 1678, 839, 2518, 1259, 3778, 1889, 5668, 2834, 1417, 4252, 2126, 1063, 3190, 1595, 4786, 2393, 7180, 3590, 1795, 5386, 2693, 8080, 4040, 2020, 1010, 505, 1516, 758, 379, 1138, 569, 1708, 854, 427, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2236 > 1, builtin, [], []).
step(0 is 2236 mod 2, builtin, [], []).
step(1118 is 2236 // 2, builtin, [], []).
step(collatz(1118, [1118, 559, 1678, 839, 2518, 1259, 3778, 1889, 5668, 2834, 1417, 4252, 2126, 1063, 3190, 1595, 4786, 2393, 7180, 3590, 1795, 5386, 2693, 8080, 4040, 2020, 1010, 505, 1516, 758, 379, 1138, 569, 1708, 854, 427, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1118,
      'J' = [559, 1678, 839, 2518, 1259, 3778, 1889, 5668, 2834, 1417, 4252, 2126, 1063, 3190, 1595, 4786, 2393, 7180, 3590, 1795, 5386, 2693, 8080, 4040, 2020, 1010, 505, 1516, 758, 379, 1138, 569, 1708, 854, 427, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 559],
     [1118 > 1,
      0 is 1118 mod 2,
      559 is 1118 // 2,
      collatz(559, [559, 1678, 839, 2518, 1259, 3778, 1889, 5668, 2834, 1417, 4252, 2126, 1063, 3190, 1595, 4786, 2393, 7180, 3590, 1795, 5386, 2693, 8080, 4040, 2020, 1010, 505, 1516, 758, 379, 1138, 569, 1708, 854, 427, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1118 > 1, builtin, [], []).
step(0 is 1118 mod 2, builtin, [], []).
step(559 is 1118 // 2, builtin, [], []).
step(collatz(559, [559, 1678, 839, 2518, 1259, 3778, 1889, 5668, 2834, 1417, 4252, 2126, 1063, 3190, 1595, 4786, 2393, 7180, 3590, 1795, 5386, 2693, 8080, 4040, 2020, 1010, 505, 1516, 758, 379, 1138, 569, 1708, 854, 427, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 559,
      'J' = [1678, 839, 2518, 1259, 3778, 1889, 5668, 2834, 1417, 4252, 2126, 1063, 3190, 1595, 4786, 2393, 7180, 3590, 1795, 5386, 2693, 8080, 4040, 2020, 1010, 505, 1516, 758, 379, 1138, 569, 1708, 854, 427, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 1677,
      'N1' = 1678],
     [559 > 1,
      1 is 559 mod 2,
      1677 is 3 * 559,
      1678 is 1677 + 1,
      collatz(1678, [1678, 839, 2518, 1259, 3778, 1889, 5668, 2834, 1417, 4252, 2126, 1063, 3190, 1595, 4786, 2393, 7180, 3590, 1795, 5386, 2693, 8080, 4040, 2020, 1010, 505, 1516, 758, 379, 1138, 569, 1708, 854, 427, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(559 > 1, builtin, [], []).
step(1 is 559 mod 2, builtin, [], []).
step(1677 is 3 * 559, builtin, [], []).
step(1678 is 1677 + 1, builtin, [], []).
step(collatz(1678, [1678, 839, 2518, 1259, 3778, 1889, 5668, 2834, 1417, 4252, 2126, 1063, 3190, 1595, 4786, 2393, 7180, 3590, 1795, 5386, 2693, 8080, 4040, 2020, 1010, 505, 1516, 758, 379, 1138, 569, 1708, 854, 427, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1678,
      'J' = [839, 2518, 1259, 3778, 1889, 5668, 2834, 1417, 4252, 2126, 1063, 3190, 1595, 4786, 2393, 7180, 3590, 1795, 5386, 2693, 8080, 4040, 2020, 1010, 505, 1516, 758, 379, 1138, 569, 1708, 854, 427, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 839],
     [1678 > 1,
      0 is 1678 mod 2,
      839 is 1678 // 2,
      collatz(839, [839, 2518, 1259, 3778, 1889, 5668, 2834, 1417, 4252, 2126, 1063, 3190, 1595, 4786, 2393, 7180, 3590, 1795, 5386, 2693, 8080, 4040, 2020, 1010, 505, 1516, 758, 379, 1138, 569, 1708, 854, 427, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1678 > 1, builtin, [], []).
step(0 is 1678 mod 2, builtin, [], []).
step(839 is 1678 // 2, builtin, [], []).
step(collatz(839, [839, 2518, 1259, 3778, 1889, 5668, 2834, 1417, 4252, 2126, 1063, 3190, 1595, 4786, 2393, 7180, 3590, 1795, 5386, 2693, 8080, 4040, 2020, 1010, 505, 1516, 758, 379, 1138, 569, 1708, 854, 427, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 839,
      'J' = [2518, 1259, 3778, 1889, 5668, 2834, 1417, 4252, 2126, 1063, 3190, 1595, 4786, 2393, 7180, 3590, 1795, 5386, 2693, 8080, 4040, 2020, 1010, 505, 1516, 758, 379, 1138, 569, 1708, 854, 427, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 2517,
      'N1' = 2518],
     [839 > 1,
      1 is 839 mod 2,
      2517 is 3 * 839,
      2518 is 2517 + 1,
      collatz(2518, [2518, 1259, 3778, 1889, 5668, 2834, 1417, 4252, 2126, 1063, 3190, 1595, 4786, 2393, 7180, 3590, 1795, 5386, 2693, 8080, 4040, 2020, 1010, 505, 1516, 758, 379, 1138, 569, 1708, 854, 427, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(839 > 1, builtin, [], []).
step(1 is 839 mod 2, builtin, [], []).
step(2517 is 3 * 839, builtin, [], []).
step(2518 is 2517 + 1, builtin, [], []).
step(collatz(2518, [2518, 1259, 3778, 1889, 5668, 2834, 1417, 4252, 2126, 1063, 3190, 1595, 4786, 2393, 7180, 3590, 1795, 5386, 2693, 8080, 4040, 2020, 1010, 505, 1516, 758, 379, 1138, 569, 1708, 854, 427, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 2518,
      'J' = [1259, 3778, 1889, 5668, 2834, 1417, 4252, 2126, 1063, 3190, 1595, 4786, 2393, 7180, 3590, 1795, 5386, 2693, 8080, 4040, 2020, 1010, 505, 1516, 758, 379, 1138, 569, 1708, 854, 427, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1259],
     [2518 > 1,
      0 is 2518 mod 2,
      1259 is 2518 // 2,
      collatz(1259, [1259, 3778, 1889, 5668, 2834, 1417, 4252, 2126, 1063, 3190, 1595, 4786, 2393, 7180, 3590, 1795, 5386, 2693, 8080, 4040, 2020, 1010, 505, 1516, 758, 379, 1138, 569, 1708, 854, 427, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2518 > 1, builtin, [], []).
step(0 is 2518 mod 2, builtin, [], []).
step(1259 is 2518 // 2, builtin, [], []).
step(collatz(1259, [1259, 3778, 1889, 5668, 2834, 1417, 4252, 2126, 1063, 3190, 1595, 4786, 2393, 7180, 3590, 1795, 5386, 2693, 8080, 4040, 2020, 1010, 505, 1516, 758, 379, 1138, 569, 1708, 854, 427, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 1259,
      'J' = [3778, 1889, 5668, 2834, 1417, 4252, 2126, 1063, 3190, 1595, 4786, 2393, 7180, 3590, 1795, 5386, 2693, 8080, 4040, 2020, 1010, 505, 1516, 758, 379, 1138, 569, 1708, 854, 427, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 3777,
      'N1' = 3778],
     [1259 > 1,
      1 is 1259 mod 2,
      3777 is 3 * 1259,
      3778 is 3777 + 1,
      collatz(3778, [3778, 1889, 5668, 2834, 1417, 4252, 2126, 1063, 3190, 1595, 4786, 2393, 7180, 3590, 1795, 5386, 2693, 8080, 4040, 2020, 1010, 505, 1516, 758, 379, 1138, 569, 1708, 854, 427, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1259 > 1, builtin, [], []).
step(1 is 1259 mod 2, builtin, [], []).
step(3777 is 3 * 1259, builtin, [], []).
step(3778 is 3777 + 1, builtin, [], []).
step(collatz(3778, [3778, 1889, 5668, 2834, 1417, 4252, 2126, 1063, 3190, 1595, 4786, 2393, 7180, 3590, 1795, 5386, 2693, 8080, 4040, 2020, 1010, 505, 1516, 758, 379, 1138, 569, 1708, 854, 427, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 3778,
      'J' = [1889, 5668, 2834, 1417, 4252, 2126, 1063, 3190, 1595, 4786, 2393, 7180, 3590, 1795, 5386, 2693, 8080, 4040, 2020, 1010, 505, 1516, 758, 379, 1138, 569, 1708, 854, 427, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1889],
     [3778 > 1,
      0 is 3778 mod 2,
      1889 is 3778 // 2,
      collatz(1889, [1889, 5668, 2834, 1417, 4252, 2126, 1063, 3190, 1595, 4786, 2393, 7180, 3590, 1795, 5386, 2693, 8080, 4040, 2020, 1010, 505, 1516, 758, 379, 1138, 569, 1708, 854, 427, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(3778 > 1, builtin, [], []).
step(0 is 3778 mod 2, builtin, [], []).
step(1889 is 3778 // 2, builtin, [], []).
step(collatz(1889, [1889, 5668, 2834, 1417, 4252, 2126, 1063, 3190, 1595, 4786, 2393, 7180, 3590, 1795, 5386, 2693, 8080, 4040, 2020, 1010, 505, 1516, 758, 379, 1138, 569, 1708, 854, 427, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 1889,
      'J' = [5668, 2834, 1417, 4252, 2126, 1063, 3190, 1595, 4786, 2393, 7180, 3590, 1795, 5386, 2693, 8080, 4040, 2020, 1010, 505, 1516, 758, 379, 1138, 569, 1708, 854, 427, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 5667,
      'N1' = 5668],
     [1889 > 1,
      1 is 1889 mod 2,
      5667 is 3 * 1889,
      5668 is 5667 + 1,
      collatz(5668, [5668, 2834, 1417, 4252, 2126, 1063, 3190, 1595, 4786, 2393, 7180, 3590, 1795, 5386, 2693, 8080, 4040, 2020, 1010, 505, 1516, 758, 379, 1138, 569, 1708, 854, 427, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1889 > 1, builtin, [], []).
step(1 is 1889 mod 2, builtin, [], []).
step(5667 is 3 * 1889, builtin, [], []).
step(5668 is 5667 + 1, builtin, [], []).
step(collatz(5668, [5668, 2834, 1417, 4252, 2126, 1063, 3190, 1595, 4786, 2393, 7180, 3590, 1795, 5386, 2693, 8080, 4040, 2020, 1010, 505, 1516, 758, 379, 1138, 569, 1708, 854, 427, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 5668,
      'J' = [2834, 1417, 4252, 2126, 1063, 3190, 1595, 4786, 2393, 7180, 3590, 1795, 5386, 2693, 8080, 4040, 2020, 1010, 505, 1516, 758, 379, 1138, 569, 1708, 854, 427, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 2834],
     [5668 > 1,
      0 is 5668 mod 2,
      2834 is 5668 // 2,
      collatz(2834, [2834, 1417, 4252, 2126, 1063, 3190, 1595, 4786, 2393, 7180, 3590, 1795, 5386, 2693, 8080, 4040, 2020, 1010, 505, 1516, 758, 379, 1138, 569, 1708, 854, 427, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(5668 > 1, builtin, [], []).
step(0 is 5668 mod 2, builtin, [], []).
step(2834 is 5668 // 2, builtin, [], []).
step(collatz(2834, [2834, 1417, 4252, 2126, 1063, 3190, 1595, 4786, 2393, 7180, 3590, 1795, 5386, 2693, 8080, 4040, 2020, 1010, 505, 1516, 758, 379, 1138, 569, 1708, 854, 427, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 2834,
      'J' = [1417, 4252, 2126, 1063, 3190, 1595, 4786, 2393, 7180, 3590, 1795, 5386, 2693, 8080, 4040, 2020, 1010, 505, 1516, 758, 379, 1138, 569, 1708, 854, 427, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1417],
     [2834 > 1,
      0 is 2834 mod 2,
      1417 is 2834 // 2,
      collatz(1417, [1417, 4252, 2126, 1063, 3190, 1595, 4786, 2393, 7180, 3590, 1795, 5386, 2693, 8080, 4040, 2020, 1010, 505, 1516, 758, 379, 1138, 569, 1708, 854, 427, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2834 > 1, builtin, [], []).
step(0 is 2834 mod 2, builtin, [], []).
step(1417 is 2834 // 2, builtin, [], []).
step(collatz(1417, [1417, 4252, 2126, 1063, 3190, 1595, 4786, 2393, 7180, 3590, 1795, 5386, 2693, 8080, 4040, 2020, 1010, 505, 1516, 758, 379, 1138, 569, 1708, 854, 427, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 1417,
      'J' = [4252, 2126, 1063, 3190, 1595, 4786, 2393, 7180, 3590, 1795, 5386, 2693, 8080, 4040, 2020, 1010, 505, 1516, 758, 379, 1138, 569, 1708, 854, 427, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 4251,
      'N1' = 4252],
     [1417 > 1,
      1 is 1417 mod 2,
      4251 is 3 * 1417,
      4252 is 4251 + 1,
      collatz(4252, [4252, 2126, 1063, 3190, 1595, 4786, 2393, 7180, 3590, 1795, 5386, 2693, 8080, 4040, 2020, 1010, 505, 1516, 758, 379, 1138, 569, 1708, 854, 427, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1417 > 1, builtin, [], []).
step(1 is 1417 mod 2, builtin, [], []).
step(4251 is 3 * 1417, builtin, [], []).
step(4252 is 4251 + 1, builtin, [], []).
step(collatz(4252, [4252, 2126, 1063, 3190, 1595, 4786, 2393, 7180, 3590, 1795, 5386, 2693, 8080, 4040, 2020, 1010, 505, 1516, 758, 379, 1138, 569, 1708, 854, 427, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 4252,
      'J' = [2126, 1063, 3190, 1595, 4786, 2393, 7180, 3590, 1795, 5386, 2693, 8080, 4040, 2020, 1010, 505, 1516, 758, 379, 1138, 569, 1708, 854, 427, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 2126],
     [4252 > 1,
      0 is 4252 mod 2,
      2126 is 4252 // 2,
      collatz(2126, [2126, 1063, 3190, 1595, 4786, 2393, 7180, 3590, 1795, 5386, 2693, 8080, 4040, 2020, 1010, 505, 1516, 758, 379, 1138, 569, 1708, 854, 427, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(4252 > 1, builtin, [], []).
step(0 is 4252 mod 2, builtin, [], []).
step(2126 is 4252 // 2, builtin, [], []).
step(collatz(2126, [2126, 1063, 3190, 1595, 4786, 2393, 7180, 3590, 1795, 5386, 2693, 8080, 4040, 2020, 1010, 505, 1516, 758, 379, 1138, 569, 1708, 854, 427, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 2126,
      'J' = [1063, 3190, 1595, 4786, 2393, 7180, 3590, 1795, 5386, 2693, 8080, 4040, 2020, 1010, 505, 1516, 758, 379, 1138, 569, 1708, 854, 427, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1063],
     [2126 > 1,
      0 is 2126 mod 2,
      1063 is 2126 // 2,
      collatz(1063, [1063, 3190, 1595, 4786, 2393, 7180, 3590, 1795, 5386, 2693, 8080, 4040, 2020, 1010, 505, 1516, 758, 379, 1138, 569, 1708, 854, 427, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2126 > 1, builtin, [], []).
step(0 is 2126 mod 2, builtin, [], []).
step(1063 is 2126 // 2, builtin, [], []).
step(collatz(1063, [1063, 3190, 1595, 4786, 2393, 7180, 3590, 1795, 5386, 2693, 8080, 4040, 2020, 1010, 505, 1516, 758, 379, 1138, 569, 1708, 854, 427, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 1063,
      'J' = [3190, 1595, 4786, 2393, 7180, 3590, 1795, 5386, 2693, 8080, 4040, 2020, 1010, 505, 1516, 758, 379, 1138, 569, 1708, 854, 427, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 3189,
      'N1' = 3190],
     [1063 > 1,
      1 is 1063 mod 2,
      3189 is 3 * 1063,
      3190 is 3189 + 1,
      collatz(3190, [3190, 1595, 4786, 2393, 7180, 3590, 1795, 5386, 2693, 8080, 4040, 2020, 1010, 505, 1516, 758, 379, 1138, 569, 1708, 854, 427, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1063 > 1, builtin, [], []).
step(1 is 1063 mod 2, builtin, [], []).
step(3189 is 3 * 1063, builtin, [], []).
step(3190 is 3189 + 1, builtin, [], []).
step(collatz(3190, [3190, 1595, 4786, 2393, 7180, 3590, 1795, 5386, 2693, 8080, 4040, 2020, 1010, 505, 1516, 758, 379, 1138, 569, 1708, 854, 427, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 3190,
      'J' = [1595, 4786, 2393, 7180, 3590, 1795, 5386, 2693, 8080, 4040, 2020, 1010, 505, 1516, 758, 379, 1138, 569, 1708, 854, 427, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1595],
     [3190 > 1,
      0 is 3190 mod 2,
      1595 is 3190 // 2,
      collatz(1595, [1595, 4786, 2393, 7180, 3590, 1795, 5386, 2693, 8080, 4040, 2020, 1010, 505, 1516, 758, 379, 1138, 569, 1708, 854, 427, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(3190 > 1, builtin, [], []).
step(0 is 3190 mod 2, builtin, [], []).
step(1595 is 3190 // 2, builtin, [], []).
step(collatz(1595, [1595, 4786, 2393, 7180, 3590, 1795, 5386, 2693, 8080, 4040, 2020, 1010, 505, 1516, 758, 379, 1138, 569, 1708, 854, 427, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 1595,
      'J' = [4786, 2393, 7180, 3590, 1795, 5386, 2693, 8080, 4040, 2020, 1010, 505, 1516, 758, 379, 1138, 569, 1708, 854, 427, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 4785,
      'N1' = 4786],
     [1595 > 1,
      1 is 1595 mod 2,
      4785 is 3 * 1595,
      4786 is 4785 + 1,
      collatz(4786, [4786, 2393, 7180, 3590, 1795, 5386, 2693, 8080, 4040, 2020, 1010, 505, 1516, 758, 379, 1138, 569, 1708, 854, 427, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1595 > 1, builtin, [], []).
step(1 is 1595 mod 2, builtin, [], []).
step(4785 is 3 * 1595, builtin, [], []).
step(4786 is 4785 + 1, builtin, [], []).
step(collatz(4786, [4786, 2393, 7180, 3590, 1795, 5386, 2693, 8080, 4040, 2020, 1010, 505, 1516, 758, 379, 1138, 569, 1708, 854, 427, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 4786,
      'J' = [2393, 7180, 3590, 1795, 5386, 2693, 8080, 4040, 2020, 1010, 505, 1516, 758, 379, 1138, 569, 1708, 854, 427, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 2393],
     [4786 > 1,
      0 is 4786 mod 2,
      2393 is 4786 // 2,
      collatz(2393, [2393, 7180, 3590, 1795, 5386, 2693, 8080, 4040, 2020, 1010, 505, 1516, 758, 379, 1138, 569, 1708, 854, 427, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(4786 > 1, builtin, [], []).
step(0 is 4786 mod 2, builtin, [], []).
step(2393 is 4786 // 2, builtin, [], []).
step(collatz(2393, [2393, 7180, 3590, 1795, 5386, 2693, 8080, 4040, 2020, 1010, 505, 1516, 758, 379, 1138, 569, 1708, 854, 427, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 2393,
      'J' = [7180, 3590, 1795, 5386, 2693, 8080, 4040, 2020, 1010, 505, 1516, 758, 379, 1138, 569, 1708, 854, 427, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 7179,
      'N1' = 7180],
     [2393 > 1,
      1 is 2393 mod 2,
      7179 is 3 * 2393,
      7180 is 7179 + 1,
      collatz(7180, [7180, 3590, 1795, 5386, 2693, 8080, 4040, 2020, 1010, 505, 1516, 758, 379, 1138, 569, 1708, 854, 427, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2393 > 1, builtin, [], []).
step(1 is 2393 mod 2, builtin, [], []).
step(7179 is 3 * 2393, builtin, [], []).
step(7180 is 7179 + 1, builtin, [], []).
step(collatz(7180, [7180, 3590, 1795, 5386, 2693, 8080, 4040, 2020, 1010, 505, 1516, 758, 379, 1138, 569, 1708, 854, 427, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 7180,
      'J' = [3590, 1795, 5386, 2693, 8080, 4040, 2020, 1010, 505, 1516, 758, 379, 1138, 569, 1708, 854, 427, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 3590],
     [7180 > 1,
      0 is 7180 mod 2,
      3590 is 7180 // 2,
      collatz(3590, [3590, 1795, 5386, 2693, 8080, 4040, 2020, 1010, 505, 1516, 758, 379, 1138, 569, 1708, 854, 427, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(7180 > 1, builtin, [], []).
step(0 is 7180 mod 2, builtin, [], []).
step(3590 is 7180 // 2, builtin, [], []).
step(collatz(3590, [3590, 1795, 5386, 2693, 8080, 4040, 2020, 1010, 505, 1516, 758, 379, 1138, 569, 1708, 854, 427, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 3590,
      'J' = [1795, 5386, 2693, 8080, 4040, 2020, 1010, 505, 1516, 758, 379, 1138, 569, 1708, 854, 427, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1795],
     [3590 > 1,
      0 is 3590 mod 2,
      1795 is 3590 // 2,
      collatz(1795, [1795, 5386, 2693, 8080, 4040, 2020, 1010, 505, 1516, 758, 379, 1138, 569, 1708, 854, 427, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(3590 > 1, builtin, [], []).
step(0 is 3590 mod 2, builtin, [], []).
step(1795 is 3590 // 2, builtin, [], []).
step(collatz(1795, [1795, 5386, 2693, 8080, 4040, 2020, 1010, 505, 1516, 758, 379, 1138, 569, 1708, 854, 427, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 1795,
      'J' = [5386, 2693, 8080, 4040, 2020, 1010, 505, 1516, 758, 379, 1138, 569, 1708, 854, 427, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 5385,
      'N1' = 5386],
     [1795 > 1,
      1 is 1795 mod 2,
      5385 is 3 * 1795,
      5386 is 5385 + 1,
      collatz(5386, [5386, 2693, 8080, 4040, 2020, 1010, 505, 1516, 758, 379, 1138, 569, 1708, 854, 427, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1795 > 1, builtin, [], []).
step(1 is 1795 mod 2, builtin, [], []).
step(5385 is 3 * 1795, builtin, [], []).
step(5386 is 5385 + 1, builtin, [], []).
step(collatz(5386, [5386, 2693, 8080, 4040, 2020, 1010, 505, 1516, 758, 379, 1138, 569, 1708, 854, 427, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 5386,
      'J' = [2693, 8080, 4040, 2020, 1010, 505, 1516, 758, 379, 1138, 569, 1708, 854, 427, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 2693],
     [5386 > 1,
      0 is 5386 mod 2,
      2693 is 5386 // 2,
      collatz(2693, [2693, 8080, 4040, 2020, 1010, 505, 1516, 758, 379, 1138, 569, 1708, 854, 427, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(5386 > 1, builtin, [], []).
step(0 is 5386 mod 2, builtin, [], []).
step(2693 is 5386 // 2, builtin, [], []).
step(collatz(2693, [2693, 8080, 4040, 2020, 1010, 505, 1516, 758, 379, 1138, 569, 1708, 854, 427, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 2693,
      'J' = [8080, 4040, 2020, 1010, 505, 1516, 758, 379, 1138, 569, 1708, 854, 427, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 8079,
      'N1' = 8080],
     [2693 > 1,
      1 is 2693 mod 2,
      8079 is 3 * 2693,
      8080 is 8079 + 1,
      collatz(8080, [8080, 4040, 2020, 1010, 505, 1516, 758, 379, 1138, 569, 1708, 854, 427, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2693 > 1, builtin, [], []).
step(1 is 2693 mod 2, builtin, [], []).
step(8079 is 3 * 2693, builtin, [], []).
step(8080 is 8079 + 1, builtin, [], []).
step(collatz(8080, [8080, 4040, 2020, 1010, 505, 1516, 758, 379, 1138, 569, 1708, 854, 427, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 8080,
      'J' = [4040, 2020, 1010, 505, 1516, 758, 379, 1138, 569, 1708, 854, 427, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 4040],
     [8080 > 1,
      0 is 8080 mod 2,
      4040 is 8080 // 2,
      collatz(4040, [4040, 2020, 1010, 505, 1516, 758, 379, 1138, 569, 1708, 854, 427, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(8080 > 1, builtin, [], []).
step(0 is 8080 mod 2, builtin, [], []).
step(4040 is 8080 // 2, builtin, [], []).
step(collatz(4040, [4040, 2020, 1010, 505, 1516, 758, 379, 1138, 569, 1708, 854, 427, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 4040,
      'J' = [2020, 1010, 505, 1516, 758, 379, 1138, 569, 1708, 854, 427, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 2020],
     [4040 > 1,
      0 is 4040 mod 2,
      2020 is 4040 // 2,
      collatz(2020, [2020, 1010, 505, 1516, 758, 379, 1138, 569, 1708, 854, 427, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(4040 > 1, builtin, [], []).
step(0 is 4040 mod 2, builtin, [], []).
step(2020 is 4040 // 2, builtin, [], []).
step(collatz(2020, [2020, 1010, 505, 1516, 758, 379, 1138, 569, 1708, 854, 427, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 2020,
      'J' = [1010, 505, 1516, 758, 379, 1138, 569, 1708, 854, 427, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1010],
     [2020 > 1,
      0 is 2020 mod 2,
      1010 is 2020 // 2,
      collatz(1010, [1010, 505, 1516, 758, 379, 1138, 569, 1708, 854, 427, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2020 > 1, builtin, [], []).
step(0 is 2020 mod 2, builtin, [], []).
step(1010 is 2020 // 2, builtin, [], []).
step(collatz(1010, [1010, 505, 1516, 758, 379, 1138, 569, 1708, 854, 427, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1010,
      'J' = [505, 1516, 758, 379, 1138, 569, 1708, 854, 427, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 505],
     [1010 > 1,
      0 is 1010 mod 2,
      505 is 1010 // 2,
      collatz(505, [505, 1516, 758, 379, 1138, 569, 1708, 854, 427, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1010 > 1, builtin, [], []).
step(0 is 1010 mod 2, builtin, [], []).
step(505 is 1010 // 2, builtin, [], []).
step(collatz(505, [505, 1516, 758, 379, 1138, 569, 1708, 854, 427, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 505,
      'J' = [1516, 758, 379, 1138, 569, 1708, 854, 427, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 1515,
      'N1' = 1516],
     [505 > 1,
      1 is 505 mod 2,
      1515 is 3 * 505,
      1516 is 1515 + 1,
      collatz(1516, [1516, 758, 379, 1138, 569, 1708, 854, 427, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(505 > 1, builtin, [], []).
step(1 is 505 mod 2, builtin, [], []).
step(1515 is 3 * 505, builtin, [], []).
step(1516 is 1515 + 1, builtin, [], []).
step(collatz(1516, [1516, 758, 379, 1138, 569, 1708, 854, 427, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1516,
      'J' = [758, 379, 1138, 569, 1708, 854, 427, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 758],
     [1516 > 1,
      0 is 1516 mod 2,
      758 is 1516 // 2,
      collatz(758, [758, 379, 1138, 569, 1708, 854, 427, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1516 > 1, builtin, [], []).
step(0 is 1516 mod 2, builtin, [], []).
step(758 is 1516 // 2, builtin, [], []).
step(collatz(758, [758, 379, 1138, 569, 1708, 854, 427, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 758,
      'J' = [379, 1138, 569, 1708, 854, 427, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 379],
     [758 > 1,
      0 is 758 mod 2,
      379 is 758 // 2,
      collatz(379, [379, 1138, 569, 1708, 854, 427, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(758 > 1, builtin, [], []).
step(0 is 758 mod 2, builtin, [], []).
step(379 is 758 // 2, builtin, [], []).
step(collatz(379, [379, 1138, 569, 1708, 854, 427, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 379,
      'J' = [1138, 569, 1708, 854, 427, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 1137,
      'N1' = 1138],
     [379 > 1,
      1 is 379 mod 2,
      1137 is 3 * 379,
      1138 is 1137 + 1,
      collatz(1138, [1138, 569, 1708, 854, 427, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(379 > 1, builtin, [], []).
step(1 is 379 mod 2, builtin, [], []).
step(1137 is 3 * 379, builtin, [], []).
step(1138 is 1137 + 1, builtin, [], []).
step(collatz(1138, [1138, 569, 1708, 854, 427, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1138,
      'J' = [569, 1708, 854, 427, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 569],
     [1138 > 1,
      0 is 1138 mod 2,
      569 is 1138 // 2,
      collatz(569, [569, 1708, 854, 427, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1138 > 1, builtin, [], []).
step(0 is 1138 mod 2, builtin, [], []).
step(569 is 1138 // 2, builtin, [], []).
step(collatz(569, [569, 1708, 854, 427, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 569,
      'J' = [1708, 854, 427, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 1707,
      'N1' = 1708],
     [569 > 1,
      1 is 569 mod 2,
      1707 is 3 * 569,
      1708 is 1707 + 1,
      collatz(1708, [1708, 854, 427, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(569 > 1, builtin, [], []).
step(1 is 569 mod 2, builtin, [], []).
step(1707 is 3 * 569, builtin, [], []).
step(1708 is 1707 + 1, builtin, [], []).
step(collatz(1708, [1708, 854, 427, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1708,
      'J' = [854, 427, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 854],
     [1708 > 1,
      0 is 1708 mod 2,
      854 is 1708 // 2,
      collatz(854, [854, 427, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1708 > 1, builtin, [], []).
step(0 is 1708 mod 2, builtin, [], []).
step(854 is 1708 // 2, builtin, [], []).
step(collatz(854, [854, 427, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 854,
      'J' = [427, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 427],
     [854 > 1,
      0 is 854 mod 2,
      427 is 854 // 2,
      collatz(427, [427, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(854 > 1, builtin, [], []).
step(0 is 854 mod 2, builtin, [], []).
step(427 is 854 // 2, builtin, [], []).
step(collatz(427, [427, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 427,
      'J' = [1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 1281,
      'N1' = 1282],
     [427 > 1,
      1 is 427 mod 2,
      1281 is 3 * 427,
      1282 is 1281 + 1,
      collatz(1282, [1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(427 > 1, builtin, [], []).
step(1 is 427 mod 2, builtin, [], []).
step(1281 is 3 * 427, builtin, [], []).
step(1282 is 1281 + 1, builtin, [], []).
step(collatz(1282, [1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1282,
      'J' = [641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 641],
     [1282 > 1,
      0 is 1282 mod 2,
      641 is 1282 // 2,
      collatz(641, [641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1282 > 1, builtin, [], []).
step(0 is 1282 mod 2, builtin, [], []).
step(641 is 1282 // 2, builtin, [], []).
step(collatz(641, [641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 641,
      'J' = [1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 1923,
      'N1' = 1924],
     [641 > 1,
      1 is 641 mod 2,
      1923 is 3 * 641,
      1924 is 1923 + 1,
      collatz(1924, [1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(641 > 1, builtin, [], []).
step(1 is 641 mod 2, builtin, [], []).
step(1923 is 3 * 641, builtin, [], []).
step(1924 is 1923 + 1, builtin, [], []).
step(collatz(1924, [1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1924,
      'J' = [962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 962],
     [1924 > 1,
      0 is 1924 mod 2,
      962 is 1924 // 2,
      collatz(962, [962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1924 > 1, builtin, [], []).
step(0 is 1924 mod 2, builtin, [], []).
step(962 is 1924 // 2, builtin, [], []).
step(collatz(962, [962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 962,
      'J' = [481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 481],
     [962 > 1,
      0 is 962 mod 2,
      481 is 962 // 2,
      collatz(481, [481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(962 > 1, builtin, [], []).
step(0 is 962 mod 2, builtin, [], []).
step(481 is 962 // 2, builtin, [], []).
step(collatz(481, [481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 481,
      'J' = [1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 1443,
      'N1' = 1444],
     [481 > 1,
      1 is 481 mod 2,
      1443 is 3 * 481,
      1444 is 1443 + 1,
      collatz(1444, [1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(481 > 1, builtin, [], []).
step(1 is 481 mod 2, builtin, [], []).
step(1443 is 3 * 481, builtin, [], []).
step(1444 is 1443 + 1, builtin, [], []).
step(collatz(1444, [1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1444,
      'J' = [722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 722],
     [1444 > 1,
      0 is 1444 mod 2,
      722 is 1444 // 2,
      collatz(722, [722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1444 > 1, builtin, [], []).
step(0 is 1444 mod 2, builtin, [], []).
step(722 is 1444 // 2, builtin, [], []).
step(collatz(722, [722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 722,
      'J' = [361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 361],
     [722 > 1,
      0 is 722 mod 2,
      361 is 722 // 2,
      collatz(361, [361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(722 > 1, builtin, [], []).
step(0 is 722 mod 2, builtin, [], []).
step(361 is 722 // 2, builtin, [], []).
step(collatz(361, [361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 361,
      'J' = [1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 1083,
      'N1' = 1084],
     [361 > 1,
      1 is 361 mod 2,
      1083 is 3 * 361,
      1084 is 1083 + 1,
      collatz(1084, [1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(361 > 1, builtin, [], []).
step(1 is 361 mod 2, builtin, [], []).
step(1083 is 3 * 361, builtin, [], []).
step(1084 is 1083 + 1, builtin, [], []).
step(collatz(1084, [1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1084,
      'J' = [542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 542],
     [1084 > 1,
      0 is 1084 mod 2,
      542 is 1084 // 2,
      collatz(542, [542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1084 > 1, builtin, [], []).
step(0 is 1084 mod 2, builtin, [], []).
step(542 is 1084 // 2, builtin, [], []).
step(collatz(542, [542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 542,
      'J' = [271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 271],
     [542 > 1,
      0 is 542 mod 2,
      271 is 542 // 2,
      collatz(271, [271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(542 > 1, builtin, [], []).
step(0 is 542 mod 2, builtin, [], []).
step(271 is 542 // 2, builtin, [], []).
step(collatz(271, [271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 271,
      'J' = [814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 813,
      'N1' = 814],
     [271 > 1,
      1 is 271 mod 2,
      813 is 3 * 271,
      814 is 813 + 1,
      collatz(814, [814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(271 > 1, builtin, [], []).
step(1 is 271 mod 2, builtin, [], []).
step(813 is 3 * 271, builtin, [], []).
step(814 is 813 + 1, builtin, [], []).
step(collatz(814, [814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 814,
      'J' = [407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 407],
     [814 > 1,
      0 is 814 mod 2,
      407 is 814 // 2,
      collatz(407, [407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(814 > 1, builtin, [], []).
step(0 is 814 mod 2, builtin, [], []).
step(407 is 814 // 2, builtin, [], []).
step(collatz(407, [407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 407,
      'J' = [1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 1221,
      'N1' = 1222],
     [407 > 1,
      1 is 407 mod 2,
      1221 is 3 * 407,
      1222 is 1221 + 1,
      collatz(1222, [1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(407 > 1, builtin, [], []).
step(1 is 407 mod 2, builtin, [], []).
step(1221 is 3 * 407, builtin, [], []).
step(1222 is 1221 + 1, builtin, [], []).
step(collatz(1222, [1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1222,
      'J' = [611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 611],
     [1222 > 1,
      0 is 1222 mod 2,
      611 is 1222 // 2,
      collatz(611, [611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1222 > 1, builtin, [], []).
step(0 is 1222 mod 2, builtin, [], []).
step(611 is 1222 // 2, builtin, [], []).
step(collatz(611, [611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 611,
      'J' = [1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 1833,
      'N1' = 1834],
     [611 > 1,
      1 is 611 mod 2,
      1833 is 3 * 611,
      1834 is 1833 + 1,
      collatz(1834, [1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(611 > 1, builtin, [], []).
step(1 is 611 mod 2, builtin, [], []).
step(1833 is 3 * 611, builtin, [], []).
step(1834 is 1833 + 1, builtin, [], []).
step(collatz(1834, [1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1834,
      'J' = [917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 917],
     [1834 > 1,
      0 is 1834 mod 2,
      917 is 1834 // 2,
      collatz(917, [917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1834 > 1, builtin, [], []).
step(0 is 1834 mod 2, builtin, [], []).
step(917 is 1834 // 2, builtin, [], []).
step(collatz(917, [917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 917,
      'J' = [2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 2751,
      'N1' = 2752],
     [917 > 1,
      1 is 917 mod 2,
      2751 is 3 * 917,
      2752 is 2751 + 1,
      collatz(2752, [2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(917 > 1, builtin, [], []).
step(1 is 917 mod 2, builtin, [], []).
step(2751 is 3 * 917, builtin, [], []).
step(2752 is 2751 + 1, builtin, [], []).
step(collatz(2752, [2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 2752,
      'J' = [1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1376],
     [2752 > 1,
      0 is 2752 mod 2,
      1376 is 2752 // 2,
      collatz(1376, [1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2752 > 1, builtin, [], []).
step(0 is 2752 mod 2, builtin, [], []).
step(1376 is 2752 // 2, builtin, [], []).
step(collatz(1376, [1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1376,
      'J' = [688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 688],
     [1376 > 1,
      0 is 1376 mod 2,
      688 is 1376 // 2,
      collatz(688, [688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1376 > 1, builtin, [], []).
step(0 is 1376 mod 2, builtin, [], []).
step(688 is 1376 // 2, builtin, [], []).
step(collatz(688, [688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 688,
      'J' = [344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 344],
     [688 > 1,
      0 is 688 mod 2,
      344 is 688 // 2,
      collatz(344, [344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(688 > 1, builtin, [], []).
step(0 is 688 mod 2, builtin, [], []).
step(344 is 688 // 2, builtin, [], []).
step(collatz(344, [344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 344,
      'J' = [172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 172],
     [344 > 1,
      0 is 344 mod 2,
      172 is 344 // 2,
      collatz(172, [172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(344 > 1, builtin, [], []).
step(0 is 344 mod 2, builtin, [], []).
step(172 is 344 // 2, builtin, [], []).
step(collatz(172, [172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 172,
      'J' = [86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 86],
     [172 > 1,
      0 is 172 mod 2,
      86 is 172 // 2,
      collatz(86, [86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(172 > 1, builtin, [], []).
step(0 is 172 mod 2, builtin, [], []).
step(86 is 172 // 2, builtin, [], []).
step(collatz(86, [86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 86,
      'J' = [43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 43],
     [86 > 1,
      0 is 86 mod 2,
      43 is 86 // 2,
      collatz(43, [43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(86 > 1, builtin, [], []).
step(0 is 86 mod 2, builtin, [], []).
step(43 is 86 // 2, builtin, [], []).
step(collatz(43, [43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 43,
      'J' = [130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 129,
      'N1' = 130],
     [43 > 1,
      1 is 43 mod 2,
      129 is 3 * 43,
      130 is 129 + 1,
      collatz(130, [130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(43 > 1, builtin, [], []).
step(1 is 43 mod 2, builtin, [], []).
step(129 is 3 * 43, builtin, [], []).
step(130 is 129 + 1, builtin, [], []).
step(collatz(130, [130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 130,
      'J' = [65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 65],
     [130 > 1,
      0 is 130 mod 2,
      65 is 130 // 2,
      collatz(65, [65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(130 > 1, builtin, [], []).
step(0 is 130 mod 2, builtin, [], []).
step(65 is 130 // 2, builtin, [], []).
step(collatz(65, [65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 65,
      'J' = [196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 195,
      'N1' = 196],
     [65 > 1,
      1 is 65 mod 2,
      195 is 3 * 65,
      196 is 195 + 1,
      collatz(196, [196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(65 > 1, builtin, [], []).
step(1 is 65 mod 2, builtin, [], []).
step(195 is 3 * 65, builtin, [], []).
step(196 is 195 + 1, builtin, [], []).
step(collatz(196, [196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 196,
      'J' = [98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 98],
     [196 > 1,
      0 is 196 mod 2,
      98 is 196 // 2,
      collatz(98, [98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(196 > 1, builtin, [], []).
step(0 is 196 mod 2, builtin, [], []).
step(98 is 196 // 2, builtin, [], []).
step(collatz(98, [98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 98,
      'J' = [49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 49],
     [98 > 1,
      0 is 98 mod 2,
      49 is 98 // 2,
      collatz(49, [49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(98 > 1, builtin, [], []).
step(0 is 98 mod 2, builtin, [], []).
step(49 is 98 // 2, builtin, [], []).
step(collatz(49, [49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 49,
      'J' = [148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 147,
      'N1' = 148],
     [49 > 1,
      1 is 49 mod 2,
      147 is 3 * 49,
      148 is 147 + 1,
      collatz(148, [148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(49 > 1, builtin, [], []).
step(1 is 49 mod 2, builtin, [], []).
step(147 is 3 * 49, builtin, [], []).
step(148 is 147 + 1, builtin, [], []).
step(collatz(148, [148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 148,
      'J' = [74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 74],
     [148 > 1,
      0 is 148 mod 2,
      74 is 148 // 2,
      collatz(74, [74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(148 > 1, builtin, [], []).
step(0 is 148 mod 2, builtin, [], []).
step(74 is 148 // 2, builtin, [], []).
step(collatz(74, [74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 74,
      'J' = [37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 37],
     [74 > 1,
      0 is 74 mod 2,
      37 is 74 // 2,
      collatz(37, [37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(74 > 1, builtin, [], []).
step(0 is 74 mod 2, builtin, [], []).
step(37 is 74 // 2, builtin, [], []).
step(collatz(37, [37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 37,
      'J' = [112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 111,
      'N1' = 112],
     [37 > 1,
      1 is 37 mod 2,
      111 is 3 * 37,
      112 is 111 + 1,
      collatz(112, [112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(37 > 1, builtin, [], []).
step(1 is 37 mod 2, builtin, [], []).
step(111 is 3 * 37, builtin, [], []).
step(112 is 111 + 1, builtin, [], []).
step(collatz(112, [112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 112,
      'J' = [56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 56],
     [112 > 1,
      0 is 112 mod 2,
      56 is 112 // 2,
      collatz(56, [56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(112 > 1, builtin, [], []).
step(0 is 112 mod 2, builtin, [], []).
step(56 is 112 // 2, builtin, [], []).
step(collatz(56, [56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 56,
      'J' = [28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 28],
     [56 > 1,
      0 is 56 mod 2,
      28 is 56 // 2,
      collatz(28, [28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(56 > 1, builtin, [], []).
step(0 is 56 mod 2, builtin, [], []).
step(28 is 56 // 2, builtin, [], []).
step(collatz(28, [28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 28,
      'J' = [14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 14],
     [28 > 1,
      0 is 28 mod 2,
      14 is 28 // 2,
      collatz(14, [14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(28 > 1, builtin, [], []).
step(0 is 28 mod 2, builtin, [], []).
step(14 is 28 // 2, builtin, [], []).
step(collatz(14, [14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 14, 'J' = [7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1], 'N1' = 7],
     [14 > 1,
      0 is 14 mod 2,
      7 is 14 // 2,
      collatz(7, [7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(14 > 1, builtin, [], []).
step(0 is 14 mod 2, builtin, [], []).
step(7 is 14 // 2, builtin, [], []).
step(collatz(7, [7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 7,
      'J' = [22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 21,
      'N1' = 22],
     [7 > 1,
      1 is 7 mod 2,
      21 is 3 * 7,
      22 is 21 + 1,
      collatz(22, [22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(7 > 1, builtin, [], []).
step(1 is 7 mod 2, builtin, [], []).
step(21 is 3 * 7, builtin, [], []).
step(22 is 21 + 1, builtin, [], []).
step(collatzTrajectory(992, [992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 992,
      'M' = [992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 8],
     [repeat(1000, 8),
      992 is 1000 - 8,
      collatz(992, [992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 8),
     rule(3),
     ['N' = 1000, 'I' = 8, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 8)]).
step(between(0, 999, 8), builtin, [], []).
step(992 is 1000 - 8, builtin, [], []).
step(collatz(992, [992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 992,
      'J' = [496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 496],
     [992 > 1,
      0 is 992 mod 2,
      496 is 992 // 2,
      collatz(496, [496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(992 > 1, builtin, [], []).
step(0 is 992 mod 2, builtin, [], []).
step(496 is 992 // 2, builtin, [], []).
step(collatz(496, [496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 496,
      'J' = [248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 248],
     [496 > 1,
      0 is 496 mod 2,
      248 is 496 // 2,
      collatz(248, [248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(496 > 1, builtin, [], []).
step(0 is 496 mod 2, builtin, [], []).
step(248 is 496 // 2, builtin, [], []).
step(collatz(248, [248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 248,
      'J' = [124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 124],
     [248 > 1,
      0 is 248 mod 2,
      124 is 248 // 2,
      collatz(124, [124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(248 > 1, builtin, [], []).
step(0 is 248 mod 2, builtin, [], []).
step(124 is 248 // 2, builtin, [], []).
step(collatz(124, [124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 124,
      'J' = [62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 62],
     [124 > 1,
      0 is 124 mod 2,
      62 is 124 // 2,
      collatz(62, [62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(124 > 1, builtin, [], []).
step(0 is 124 mod 2, builtin, [], []).
step(62 is 124 // 2, builtin, [], []).
step(collatz(62, [62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 62,
      'J' = [31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 31],
     [62 > 1,
      0 is 62 mod 2,
      31 is 62 // 2,
      collatz(31, [31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(62 > 1, builtin, [], []).
step(0 is 62 mod 2, builtin, [], []).
step(31 is 62 // 2, builtin, [], []).
step(collatz(31, [31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 31,
      'J' = [94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 93,
      'N1' = 94],
     [31 > 1,
      1 is 31 mod 2,
      93 is 3 * 31,
      94 is 93 + 1,
      collatz(94, [94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(31 > 1, builtin, [], []).
step(1 is 31 mod 2, builtin, [], []).
step(93 is 3 * 31, builtin, [], []).
step(94 is 93 + 1, builtin, [], []).
step(collatzTrajectory(991, [991, 2974, 1487, 4462, 2231, 6694, 3347, 10042, 5021, 15064, 7532, 3766, 1883, 5650, 2825, 8476, 4238, 2119, 6358, 3179, 9538, 4769, 14308, 7154, 3577, 10732, 5366, 2683, 8050, 4025, 12076, 6038, 3019, 9058, 4529, 13588, 6794, 3397, 10192, 5096, 2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 991,
      'M' = [991, 2974, 1487, 4462, 2231, 6694, 3347, 10042, 5021, 15064, 7532, 3766, 1883, 5650, 2825, 8476, 4238, 2119, 6358, 3179, 9538, 4769, 14308, 7154, 3577, 10732, 5366, 2683, 8050, 4025, 12076, 6038, 3019, 9058, 4529, 13588, 6794, 3397, 10192, 5096, 2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 9],
     [repeat(1000, 9),
      991 is 1000 - 9,
      collatz(991, [991, 2974, 1487, 4462, 2231, 6694, 3347, 10042, 5021, 15064, 7532, 3766, 1883, 5650, 2825, 8476, 4238, 2119, 6358, 3179, 9538, 4769, 14308, 7154, 3577, 10732, 5366, 2683, 8050, 4025, 12076, 6038, 3019, 9058, 4529, 13588, 6794, 3397, 10192, 5096, 2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 9),
     rule(3),
     ['N' = 1000, 'I' = 9, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 9)]).
step(between(0, 999, 9), builtin, [], []).
step(991 is 1000 - 9, builtin, [], []).
step(collatz(991, [991, 2974, 1487, 4462, 2231, 6694, 3347, 10042, 5021, 15064, 7532, 3766, 1883, 5650, 2825, 8476, 4238, 2119, 6358, 3179, 9538, 4769, 14308, 7154, 3577, 10732, 5366, 2683, 8050, 4025, 12076, 6038, 3019, 9058, 4529, 13588, 6794, 3397, 10192, 5096, 2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 991,
      'J' = [2974, 1487, 4462, 2231, 6694, 3347, 10042, 5021, 15064, 7532, 3766, 1883, 5650, 2825, 8476, 4238, 2119, 6358, 3179, 9538, 4769, 14308, 7154, 3577, 10732, 5366, 2683, 8050, 4025, 12076, 6038, 3019, 9058, 4529, 13588, 6794, 3397, 10192, 5096, 2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 2973,
      'N1' = 2974],
     [991 > 1,
      1 is 991 mod 2,
      2973 is 3 * 991,
      2974 is 2973 + 1,
      collatz(2974, [2974, 1487, 4462, 2231, 6694, 3347, 10042, 5021, 15064, 7532, 3766, 1883, 5650, 2825, 8476, 4238, 2119, 6358, 3179, 9538, 4769, 14308, 7154, 3577, 10732, 5366, 2683, 8050, 4025, 12076, 6038, 3019, 9058, 4529, 13588, 6794, 3397, 10192, 5096, 2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(991 > 1, builtin, [], []).
step(1 is 991 mod 2, builtin, [], []).
step(2973 is 3 * 991, builtin, [], []).
step(2974 is 2973 + 1, builtin, [], []).
step(collatz(2974, [2974, 1487, 4462, 2231, 6694, 3347, 10042, 5021, 15064, 7532, 3766, 1883, 5650, 2825, 8476, 4238, 2119, 6358, 3179, 9538, 4769, 14308, 7154, 3577, 10732, 5366, 2683, 8050, 4025, 12076, 6038, 3019, 9058, 4529, 13588, 6794, 3397, 10192, 5096, 2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 2974,
      'J' = [1487, 4462, 2231, 6694, 3347, 10042, 5021, 15064, 7532, 3766, 1883, 5650, 2825, 8476, 4238, 2119, 6358, 3179, 9538, 4769, 14308, 7154, 3577, 10732, 5366, 2683, 8050, 4025, 12076, 6038, 3019, 9058, 4529, 13588, 6794, 3397, 10192, 5096, 2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1487],
     [2974 > 1,
      0 is 2974 mod 2,
      1487 is 2974 // 2,
      collatz(1487, [1487, 4462, 2231, 6694, 3347, 10042, 5021, 15064, 7532, 3766, 1883, 5650, 2825, 8476, 4238, 2119, 6358, 3179, 9538, 4769, 14308, 7154, 3577, 10732, 5366, 2683, 8050, 4025, 12076, 6038, 3019, 9058, 4529, 13588, 6794, 3397, 10192, 5096, 2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2974 > 1, builtin, [], []).
step(0 is 2974 mod 2, builtin, [], []).
step(1487 is 2974 // 2, builtin, [], []).
step(collatz(1487, [1487, 4462, 2231, 6694, 3347, 10042, 5021, 15064, 7532, 3766, 1883, 5650, 2825, 8476, 4238, 2119, 6358, 3179, 9538, 4769, 14308, 7154, 3577, 10732, 5366, 2683, 8050, 4025, 12076, 6038, 3019, 9058, 4529, 13588, 6794, 3397, 10192, 5096, 2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 1487,
      'J' = [4462, 2231, 6694, 3347, 10042, 5021, 15064, 7532, 3766, 1883, 5650, 2825, 8476, 4238, 2119, 6358, 3179, 9538, 4769, 14308, 7154, 3577, 10732, 5366, 2683, 8050, 4025, 12076, 6038, 3019, 9058, 4529, 13588, 6794, 3397, 10192, 5096, 2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 4461,
      'N1' = 4462],
     [1487 > 1,
      1 is 1487 mod 2,
      4461 is 3 * 1487,
      4462 is 4461 + 1,
      collatz(4462, [4462, 2231, 6694, 3347, 10042, 5021, 15064, 7532, 3766, 1883, 5650, 2825, 8476, 4238, 2119, 6358, 3179, 9538, 4769, 14308, 7154, 3577, 10732, 5366, 2683, 8050, 4025, 12076, 6038, 3019, 9058, 4529, 13588, 6794, 3397, 10192, 5096, 2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1487 > 1, builtin, [], []).
step(1 is 1487 mod 2, builtin, [], []).
step(4461 is 3 * 1487, builtin, [], []).
step(4462 is 4461 + 1, builtin, [], []).
step(collatz(4462, [4462, 2231, 6694, 3347, 10042, 5021, 15064, 7532, 3766, 1883, 5650, 2825, 8476, 4238, 2119, 6358, 3179, 9538, 4769, 14308, 7154, 3577, 10732, 5366, 2683, 8050, 4025, 12076, 6038, 3019, 9058, 4529, 13588, 6794, 3397, 10192, 5096, 2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 4462,
      'J' = [2231, 6694, 3347, 10042, 5021, 15064, 7532, 3766, 1883, 5650, 2825, 8476, 4238, 2119, 6358, 3179, 9538, 4769, 14308, 7154, 3577, 10732, 5366, 2683, 8050, 4025, 12076, 6038, 3019, 9058, 4529, 13588, 6794, 3397, 10192, 5096, 2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 2231],
     [4462 > 1,
      0 is 4462 mod 2,
      2231 is 4462 // 2,
      collatz(2231, [2231, 6694, 3347, 10042, 5021, 15064, 7532, 3766, 1883, 5650, 2825, 8476, 4238, 2119, 6358, 3179, 9538, 4769, 14308, 7154, 3577, 10732, 5366, 2683, 8050, 4025, 12076, 6038, 3019, 9058, 4529, 13588, 6794, 3397, 10192, 5096, 2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(4462 > 1, builtin, [], []).
step(0 is 4462 mod 2, builtin, [], []).
step(2231 is 4462 // 2, builtin, [], []).
step(collatz(2231, [2231, 6694, 3347, 10042, 5021, 15064, 7532, 3766, 1883, 5650, 2825, 8476, 4238, 2119, 6358, 3179, 9538, 4769, 14308, 7154, 3577, 10732, 5366, 2683, 8050, 4025, 12076, 6038, 3019, 9058, 4529, 13588, 6794, 3397, 10192, 5096, 2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 2231,
      'J' = [6694, 3347, 10042, 5021, 15064, 7532, 3766, 1883, 5650, 2825, 8476, 4238, 2119, 6358, 3179, 9538, 4769, 14308, 7154, 3577, 10732, 5366, 2683, 8050, 4025, 12076, 6038, 3019, 9058, 4529, 13588, 6794, 3397, 10192, 5096, 2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 6693,
      'N1' = 6694],
     [2231 > 1,
      1 is 2231 mod 2,
      6693 is 3 * 2231,
      6694 is 6693 + 1,
      collatz(6694, [6694, 3347, 10042, 5021, 15064, 7532, 3766, 1883, 5650, 2825, 8476, 4238, 2119, 6358, 3179, 9538, 4769, 14308, 7154, 3577, 10732, 5366, 2683, 8050, 4025, 12076, 6038, 3019, 9058, 4529, 13588, 6794, 3397, 10192, 5096, 2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2231 > 1, builtin, [], []).
step(1 is 2231 mod 2, builtin, [], []).
step(6693 is 3 * 2231, builtin, [], []).
step(6694 is 6693 + 1, builtin, [], []).
step(collatz(6694, [6694, 3347, 10042, 5021, 15064, 7532, 3766, 1883, 5650, 2825, 8476, 4238, 2119, 6358, 3179, 9538, 4769, 14308, 7154, 3577, 10732, 5366, 2683, 8050, 4025, 12076, 6038, 3019, 9058, 4529, 13588, 6794, 3397, 10192, 5096, 2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 6694,
      'J' = [3347, 10042, 5021, 15064, 7532, 3766, 1883, 5650, 2825, 8476, 4238, 2119, 6358, 3179, 9538, 4769, 14308, 7154, 3577, 10732, 5366, 2683, 8050, 4025, 12076, 6038, 3019, 9058, 4529, 13588, 6794, 3397, 10192, 5096, 2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 3347],
     [6694 > 1,
      0 is 6694 mod 2,
      3347 is 6694 // 2,
      collatz(3347, [3347, 10042, 5021, 15064, 7532, 3766, 1883, 5650, 2825, 8476, 4238, 2119, 6358, 3179, 9538, 4769, 14308, 7154, 3577, 10732, 5366, 2683, 8050, 4025, 12076, 6038, 3019, 9058, 4529, 13588, 6794, 3397, 10192, 5096, 2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(6694 > 1, builtin, [], []).
step(0 is 6694 mod 2, builtin, [], []).
step(3347 is 6694 // 2, builtin, [], []).
step(collatz(3347, [3347, 10042, 5021, 15064, 7532, 3766, 1883, 5650, 2825, 8476, 4238, 2119, 6358, 3179, 9538, 4769, 14308, 7154, 3577, 10732, 5366, 2683, 8050, 4025, 12076, 6038, 3019, 9058, 4529, 13588, 6794, 3397, 10192, 5096, 2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 3347,
      'J' = [10042, 5021, 15064, 7532, 3766, 1883, 5650, 2825, 8476, 4238, 2119, 6358, 3179, 9538, 4769, 14308, 7154, 3577, 10732, 5366, 2683, 8050, 4025, 12076, 6038, 3019, 9058, 4529, 13588, 6794, 3397, 10192, 5096, 2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 10041,
      'N1' = 10042],
     [3347 > 1,
      1 is 3347 mod 2,
      10041 is 3 * 3347,
      10042 is 10041 + 1,
      collatz(10042, [10042, 5021, 15064, 7532, 3766, 1883, 5650, 2825, 8476, 4238, 2119, 6358, 3179, 9538, 4769, 14308, 7154, 3577, 10732, 5366, 2683, 8050, 4025, 12076, 6038, 3019, 9058, 4529, 13588, 6794, 3397, 10192, 5096, 2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(3347 > 1, builtin, [], []).
step(1 is 3347 mod 2, builtin, [], []).
step(10041 is 3 * 3347, builtin, [], []).
step(10042 is 10041 + 1, builtin, [], []).
step(collatz(10042, [10042, 5021, 15064, 7532, 3766, 1883, 5650, 2825, 8476, 4238, 2119, 6358, 3179, 9538, 4769, 14308, 7154, 3577, 10732, 5366, 2683, 8050, 4025, 12076, 6038, 3019, 9058, 4529, 13588, 6794, 3397, 10192, 5096, 2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 10042,
      'J' = [5021, 15064, 7532, 3766, 1883, 5650, 2825, 8476, 4238, 2119, 6358, 3179, 9538, 4769, 14308, 7154, 3577, 10732, 5366, 2683, 8050, 4025, 12076, 6038, 3019, 9058, 4529, 13588, 6794, 3397, 10192, 5096, 2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 5021],
     [10042 > 1,
      0 is 10042 mod 2,
      5021 is 10042 // 2,
      collatz(5021, [5021, 15064, 7532, 3766, 1883, 5650, 2825, 8476, 4238, 2119, 6358, 3179, 9538, 4769, 14308, 7154, 3577, 10732, 5366, 2683, 8050, 4025, 12076, 6038, 3019, 9058, 4529, 13588, 6794, 3397, 10192, 5096, 2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(10042 > 1, builtin, [], []).
step(0 is 10042 mod 2, builtin, [], []).
step(5021 is 10042 // 2, builtin, [], []).
step(collatz(5021, [5021, 15064, 7532, 3766, 1883, 5650, 2825, 8476, 4238, 2119, 6358, 3179, 9538, 4769, 14308, 7154, 3577, 10732, 5366, 2683, 8050, 4025, 12076, 6038, 3019, 9058, 4529, 13588, 6794, 3397, 10192, 5096, 2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 5021,
      'J' = [15064, 7532, 3766, 1883, 5650, 2825, 8476, 4238, 2119, 6358, 3179, 9538, 4769, 14308, 7154, 3577, 10732, 5366, 2683, 8050, 4025, 12076, 6038, 3019, 9058, 4529, 13588, 6794, 3397, 10192, 5096, 2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 15063,
      'N1' = 15064],
     [5021 > 1,
      1 is 5021 mod 2,
      15063 is 3 * 5021,
      15064 is 15063 + 1,
      collatz(15064, [15064, 7532, 3766, 1883, 5650, 2825, 8476, 4238, 2119, 6358, 3179, 9538, 4769, 14308, 7154, 3577, 10732, 5366, 2683, 8050, 4025, 12076, 6038, 3019, 9058, 4529, 13588, 6794, 3397, 10192, 5096, 2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(5021 > 1, builtin, [], []).
step(1 is 5021 mod 2, builtin, [], []).
step(15063 is 3 * 5021, builtin, [], []).
step(15064 is 15063 + 1, builtin, [], []).
step(collatz(15064, [15064, 7532, 3766, 1883, 5650, 2825, 8476, 4238, 2119, 6358, 3179, 9538, 4769, 14308, 7154, 3577, 10732, 5366, 2683, 8050, 4025, 12076, 6038, 3019, 9058, 4529, 13588, 6794, 3397, 10192, 5096, 2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 15064,
      'J' = [7532, 3766, 1883, 5650, 2825, 8476, 4238, 2119, 6358, 3179, 9538, 4769, 14308, 7154, 3577, 10732, 5366, 2683, 8050, 4025, 12076, 6038, 3019, 9058, 4529, 13588, 6794, 3397, 10192, 5096, 2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 7532],
     [15064 > 1,
      0 is 15064 mod 2,
      7532 is 15064 // 2,
      collatz(7532, [7532, 3766, 1883, 5650, 2825, 8476, 4238, 2119, 6358, 3179, 9538, 4769, 14308, 7154, 3577, 10732, 5366, 2683, 8050, 4025, 12076, 6038, 3019, 9058, 4529, 13588, 6794, 3397, 10192, 5096, 2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(15064 > 1, builtin, [], []).
step(0 is 15064 mod 2, builtin, [], []).
step(7532 is 15064 // 2, builtin, [], []).
step(collatz(7532, [7532, 3766, 1883, 5650, 2825, 8476, 4238, 2119, 6358, 3179, 9538, 4769, 14308, 7154, 3577, 10732, 5366, 2683, 8050, 4025, 12076, 6038, 3019, 9058, 4529, 13588, 6794, 3397, 10192, 5096, 2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 7532,
      'J' = [3766, 1883, 5650, 2825, 8476, 4238, 2119, 6358, 3179, 9538, 4769, 14308, 7154, 3577, 10732, 5366, 2683, 8050, 4025, 12076, 6038, 3019, 9058, 4529, 13588, 6794, 3397, 10192, 5096, 2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 3766],
     [7532 > 1,
      0 is 7532 mod 2,
      3766 is 7532 // 2,
      collatz(3766, [3766, 1883, 5650, 2825, 8476, 4238, 2119, 6358, 3179, 9538, 4769, 14308, 7154, 3577, 10732, 5366, 2683, 8050, 4025, 12076, 6038, 3019, 9058, 4529, 13588, 6794, 3397, 10192, 5096, 2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(7532 > 1, builtin, [], []).
step(0 is 7532 mod 2, builtin, [], []).
step(3766 is 7532 // 2, builtin, [], []).
step(collatz(3766, [3766, 1883, 5650, 2825, 8476, 4238, 2119, 6358, 3179, 9538, 4769, 14308, 7154, 3577, 10732, 5366, 2683, 8050, 4025, 12076, 6038, 3019, 9058, 4529, 13588, 6794, 3397, 10192, 5096, 2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 3766,
      'J' = [1883, 5650, 2825, 8476, 4238, 2119, 6358, 3179, 9538, 4769, 14308, 7154, 3577, 10732, 5366, 2683, 8050, 4025, 12076, 6038, 3019, 9058, 4529, 13588, 6794, 3397, 10192, 5096, 2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1883],
     [3766 > 1,
      0 is 3766 mod 2,
      1883 is 3766 // 2,
      collatz(1883, [1883, 5650, 2825, 8476, 4238, 2119, 6358, 3179, 9538, 4769, 14308, 7154, 3577, 10732, 5366, 2683, 8050, 4025, 12076, 6038, 3019, 9058, 4529, 13588, 6794, 3397, 10192, 5096, 2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(3766 > 1, builtin, [], []).
step(0 is 3766 mod 2, builtin, [], []).
step(1883 is 3766 // 2, builtin, [], []).
step(collatz(1883, [1883, 5650, 2825, 8476, 4238, 2119, 6358, 3179, 9538, 4769, 14308, 7154, 3577, 10732, 5366, 2683, 8050, 4025, 12076, 6038, 3019, 9058, 4529, 13588, 6794, 3397, 10192, 5096, 2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 1883,
      'J' = [5650, 2825, 8476, 4238, 2119, 6358, 3179, 9538, 4769, 14308, 7154, 3577, 10732, 5366, 2683, 8050, 4025, 12076, 6038, 3019, 9058, 4529, 13588, 6794, 3397, 10192, 5096, 2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 5649,
      'N1' = 5650],
     [1883 > 1,
      1 is 1883 mod 2,
      5649 is 3 * 1883,
      5650 is 5649 + 1,
      collatz(5650, [5650, 2825, 8476, 4238, 2119, 6358, 3179, 9538, 4769, 14308, 7154, 3577, 10732, 5366, 2683, 8050, 4025, 12076, 6038, 3019, 9058, 4529, 13588, 6794, 3397, 10192, 5096, 2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1883 > 1, builtin, [], []).
step(1 is 1883 mod 2, builtin, [], []).
step(5649 is 3 * 1883, builtin, [], []).
step(5650 is 5649 + 1, builtin, [], []).
step(collatz(5650, [5650, 2825, 8476, 4238, 2119, 6358, 3179, 9538, 4769, 14308, 7154, 3577, 10732, 5366, 2683, 8050, 4025, 12076, 6038, 3019, 9058, 4529, 13588, 6794, 3397, 10192, 5096, 2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 5650,
      'J' = [2825, 8476, 4238, 2119, 6358, 3179, 9538, 4769, 14308, 7154, 3577, 10732, 5366, 2683, 8050, 4025, 12076, 6038, 3019, 9058, 4529, 13588, 6794, 3397, 10192, 5096, 2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 2825],
     [5650 > 1,
      0 is 5650 mod 2,
      2825 is 5650 // 2,
      collatz(2825, [2825, 8476, 4238, 2119, 6358, 3179, 9538, 4769, 14308, 7154, 3577, 10732, 5366, 2683, 8050, 4025, 12076, 6038, 3019, 9058, 4529, 13588, 6794, 3397, 10192, 5096, 2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(5650 > 1, builtin, [], []).
step(0 is 5650 mod 2, builtin, [], []).
step(2825 is 5650 // 2, builtin, [], []).
step(collatz(2825, [2825, 8476, 4238, 2119, 6358, 3179, 9538, 4769, 14308, 7154, 3577, 10732, 5366, 2683, 8050, 4025, 12076, 6038, 3019, 9058, 4529, 13588, 6794, 3397, 10192, 5096, 2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 2825,
      'J' = [8476, 4238, 2119, 6358, 3179, 9538, 4769, 14308, 7154, 3577, 10732, 5366, 2683, 8050, 4025, 12076, 6038, 3019, 9058, 4529, 13588, 6794, 3397, 10192, 5096, 2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 8475,
      'N1' = 8476],
     [2825 > 1,
      1 is 2825 mod 2,
      8475 is 3 * 2825,
      8476 is 8475 + 1,
      collatz(8476, [8476, 4238, 2119, 6358, 3179, 9538, 4769, 14308, 7154, 3577, 10732, 5366, 2683, 8050, 4025, 12076, 6038, 3019, 9058, 4529, 13588, 6794, 3397, 10192, 5096, 2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2825 > 1, builtin, [], []).
step(1 is 2825 mod 2, builtin, [], []).
step(8475 is 3 * 2825, builtin, [], []).
step(8476 is 8475 + 1, builtin, [], []).
step(collatz(8476, [8476, 4238, 2119, 6358, 3179, 9538, 4769, 14308, 7154, 3577, 10732, 5366, 2683, 8050, 4025, 12076, 6038, 3019, 9058, 4529, 13588, 6794, 3397, 10192, 5096, 2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 8476,
      'J' = [4238, 2119, 6358, 3179, 9538, 4769, 14308, 7154, 3577, 10732, 5366, 2683, 8050, 4025, 12076, 6038, 3019, 9058, 4529, 13588, 6794, 3397, 10192, 5096, 2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 4238],
     [8476 > 1,
      0 is 8476 mod 2,
      4238 is 8476 // 2,
      collatz(4238, [4238, 2119, 6358, 3179, 9538, 4769, 14308, 7154, 3577, 10732, 5366, 2683, 8050, 4025, 12076, 6038, 3019, 9058, 4529, 13588, 6794, 3397, 10192, 5096, 2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(8476 > 1, builtin, [], []).
step(0 is 8476 mod 2, builtin, [], []).
step(4238 is 8476 // 2, builtin, [], []).
step(collatz(4238, [4238, 2119, 6358, 3179, 9538, 4769, 14308, 7154, 3577, 10732, 5366, 2683, 8050, 4025, 12076, 6038, 3019, 9058, 4529, 13588, 6794, 3397, 10192, 5096, 2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 4238,
      'J' = [2119, 6358, 3179, 9538, 4769, 14308, 7154, 3577, 10732, 5366, 2683, 8050, 4025, 12076, 6038, 3019, 9058, 4529, 13588, 6794, 3397, 10192, 5096, 2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 2119],
     [4238 > 1,
      0 is 4238 mod 2,
      2119 is 4238 // 2,
      collatz(2119, [2119, 6358, 3179, 9538, 4769, 14308, 7154, 3577, 10732, 5366, 2683, 8050, 4025, 12076, 6038, 3019, 9058, 4529, 13588, 6794, 3397, 10192, 5096, 2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(4238 > 1, builtin, [], []).
step(0 is 4238 mod 2, builtin, [], []).
step(2119 is 4238 // 2, builtin, [], []).
step(collatz(2119, [2119, 6358, 3179, 9538, 4769, 14308, 7154, 3577, 10732, 5366, 2683, 8050, 4025, 12076, 6038, 3019, 9058, 4529, 13588, 6794, 3397, 10192, 5096, 2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 2119,
      'J' = [6358, 3179, 9538, 4769, 14308, 7154, 3577, 10732, 5366, 2683, 8050, 4025, 12076, 6038, 3019, 9058, 4529, 13588, 6794, 3397, 10192, 5096, 2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 6357,
      'N1' = 6358],
     [2119 > 1,
      1 is 2119 mod 2,
      6357 is 3 * 2119,
      6358 is 6357 + 1,
      collatz(6358, [6358, 3179, 9538, 4769, 14308, 7154, 3577, 10732, 5366, 2683, 8050, 4025, 12076, 6038, 3019, 9058, 4529, 13588, 6794, 3397, 10192, 5096, 2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2119 > 1, builtin, [], []).
step(1 is 2119 mod 2, builtin, [], []).
step(6357 is 3 * 2119, builtin, [], []).
step(6358 is 6357 + 1, builtin, [], []).
step(collatz(6358, [6358, 3179, 9538, 4769, 14308, 7154, 3577, 10732, 5366, 2683, 8050, 4025, 12076, 6038, 3019, 9058, 4529, 13588, 6794, 3397, 10192, 5096, 2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 6358,
      'J' = [3179, 9538, 4769, 14308, 7154, 3577, 10732, 5366, 2683, 8050, 4025, 12076, 6038, 3019, 9058, 4529, 13588, 6794, 3397, 10192, 5096, 2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 3179],
     [6358 > 1,
      0 is 6358 mod 2,
      3179 is 6358 // 2,
      collatz(3179, [3179, 9538, 4769, 14308, 7154, 3577, 10732, 5366, 2683, 8050, 4025, 12076, 6038, 3019, 9058, 4529, 13588, 6794, 3397, 10192, 5096, 2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(6358 > 1, builtin, [], []).
step(0 is 6358 mod 2, builtin, [], []).
step(3179 is 6358 // 2, builtin, [], []).
step(collatz(3179, [3179, 9538, 4769, 14308, 7154, 3577, 10732, 5366, 2683, 8050, 4025, 12076, 6038, 3019, 9058, 4529, 13588, 6794, 3397, 10192, 5096, 2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 3179,
      'J' = [9538, 4769, 14308, 7154, 3577, 10732, 5366, 2683, 8050, 4025, 12076, 6038, 3019, 9058, 4529, 13588, 6794, 3397, 10192, 5096, 2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 9537,
      'N1' = 9538],
     [3179 > 1,
      1 is 3179 mod 2,
      9537 is 3 * 3179,
      9538 is 9537 + 1,
      collatz(9538, [9538, 4769, 14308, 7154, 3577, 10732, 5366, 2683, 8050, 4025, 12076, 6038, 3019, 9058, 4529, 13588, 6794, 3397, 10192, 5096, 2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(3179 > 1, builtin, [], []).
step(1 is 3179 mod 2, builtin, [], []).
step(9537 is 3 * 3179, builtin, [], []).
step(9538 is 9537 + 1, builtin, [], []).
step(collatz(9538, [9538, 4769, 14308, 7154, 3577, 10732, 5366, 2683, 8050, 4025, 12076, 6038, 3019, 9058, 4529, 13588, 6794, 3397, 10192, 5096, 2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 9538,
      'J' = [4769, 14308, 7154, 3577, 10732, 5366, 2683, 8050, 4025, 12076, 6038, 3019, 9058, 4529, 13588, 6794, 3397, 10192, 5096, 2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 4769],
     [9538 > 1,
      0 is 9538 mod 2,
      4769 is 9538 // 2,
      collatz(4769, [4769, 14308, 7154, 3577, 10732, 5366, 2683, 8050, 4025, 12076, 6038, 3019, 9058, 4529, 13588, 6794, 3397, 10192, 5096, 2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(9538 > 1, builtin, [], []).
step(0 is 9538 mod 2, builtin, [], []).
step(4769 is 9538 // 2, builtin, [], []).
step(collatz(4769, [4769, 14308, 7154, 3577, 10732, 5366, 2683, 8050, 4025, 12076, 6038, 3019, 9058, 4529, 13588, 6794, 3397, 10192, 5096, 2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 4769,
      'J' = [14308, 7154, 3577, 10732, 5366, 2683, 8050, 4025, 12076, 6038, 3019, 9058, 4529, 13588, 6794, 3397, 10192, 5096, 2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 14307,
      'N1' = 14308],
     [4769 > 1,
      1 is 4769 mod 2,
      14307 is 3 * 4769,
      14308 is 14307 + 1,
      collatz(14308, [14308, 7154, 3577, 10732, 5366, 2683, 8050, 4025, 12076, 6038, 3019, 9058, 4529, 13588, 6794, 3397, 10192, 5096, 2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(4769 > 1, builtin, [], []).
step(1 is 4769 mod 2, builtin, [], []).
step(14307 is 3 * 4769, builtin, [], []).
step(14308 is 14307 + 1, builtin, [], []).
step(collatz(14308, [14308, 7154, 3577, 10732, 5366, 2683, 8050, 4025, 12076, 6038, 3019, 9058, 4529, 13588, 6794, 3397, 10192, 5096, 2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 14308,
      'J' = [7154, 3577, 10732, 5366, 2683, 8050, 4025, 12076, 6038, 3019, 9058, 4529, 13588, 6794, 3397, 10192, 5096, 2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 7154],
     [14308 > 1,
      0 is 14308 mod 2,
      7154 is 14308 // 2,
      collatz(7154, [7154, 3577, 10732, 5366, 2683, 8050, 4025, 12076, 6038, 3019, 9058, 4529, 13588, 6794, 3397, 10192, 5096, 2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(14308 > 1, builtin, [], []).
step(0 is 14308 mod 2, builtin, [], []).
step(7154 is 14308 // 2, builtin, [], []).
step(collatz(7154, [7154, 3577, 10732, 5366, 2683, 8050, 4025, 12076, 6038, 3019, 9058, 4529, 13588, 6794, 3397, 10192, 5096, 2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 7154,
      'J' = [3577, 10732, 5366, 2683, 8050, 4025, 12076, 6038, 3019, 9058, 4529, 13588, 6794, 3397, 10192, 5096, 2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 3577],
     [7154 > 1,
      0 is 7154 mod 2,
      3577 is 7154 // 2,
      collatz(3577, [3577, 10732, 5366, 2683, 8050, 4025, 12076, 6038, 3019, 9058, 4529, 13588, 6794, 3397, 10192, 5096, 2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(7154 > 1, builtin, [], []).
step(0 is 7154 mod 2, builtin, [], []).
step(3577 is 7154 // 2, builtin, [], []).
step(collatz(3577, [3577, 10732, 5366, 2683, 8050, 4025, 12076, 6038, 3019, 9058, 4529, 13588, 6794, 3397, 10192, 5096, 2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 3577,
      'J' = [10732, 5366, 2683, 8050, 4025, 12076, 6038, 3019, 9058, 4529, 13588, 6794, 3397, 10192, 5096, 2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 10731,
      'N1' = 10732],
     [3577 > 1,
      1 is 3577 mod 2,
      10731 is 3 * 3577,
      10732 is 10731 + 1,
      collatz(10732, [10732, 5366, 2683, 8050, 4025, 12076, 6038, 3019, 9058, 4529, 13588, 6794, 3397, 10192, 5096, 2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(3577 > 1, builtin, [], []).
step(1 is 3577 mod 2, builtin, [], []).
step(10731 is 3 * 3577, builtin, [], []).
step(10732 is 10731 + 1, builtin, [], []).
step(collatz(10732, [10732, 5366, 2683, 8050, 4025, 12076, 6038, 3019, 9058, 4529, 13588, 6794, 3397, 10192, 5096, 2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 10732,
      'J' = [5366, 2683, 8050, 4025, 12076, 6038, 3019, 9058, 4529, 13588, 6794, 3397, 10192, 5096, 2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 5366],
     [10732 > 1,
      0 is 10732 mod 2,
      5366 is 10732 // 2,
      collatz(5366, [5366, 2683, 8050, 4025, 12076, 6038, 3019, 9058, 4529, 13588, 6794, 3397, 10192, 5096, 2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(10732 > 1, builtin, [], []).
step(0 is 10732 mod 2, builtin, [], []).
step(5366 is 10732 // 2, builtin, [], []).
step(collatz(5366, [5366, 2683, 8050, 4025, 12076, 6038, 3019, 9058, 4529, 13588, 6794, 3397, 10192, 5096, 2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 5366,
      'J' = [2683, 8050, 4025, 12076, 6038, 3019, 9058, 4529, 13588, 6794, 3397, 10192, 5096, 2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 2683],
     [5366 > 1,
      0 is 5366 mod 2,
      2683 is 5366 // 2,
      collatz(2683, [2683, 8050, 4025, 12076, 6038, 3019, 9058, 4529, 13588, 6794, 3397, 10192, 5096, 2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(5366 > 1, builtin, [], []).
step(0 is 5366 mod 2, builtin, [], []).
step(2683 is 5366 // 2, builtin, [], []).
step(collatz(2683, [2683, 8050, 4025, 12076, 6038, 3019, 9058, 4529, 13588, 6794, 3397, 10192, 5096, 2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 2683,
      'J' = [8050, 4025, 12076, 6038, 3019, 9058, 4529, 13588, 6794, 3397, 10192, 5096, 2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 8049,
      'N1' = 8050],
     [2683 > 1,
      1 is 2683 mod 2,
      8049 is 3 * 2683,
      8050 is 8049 + 1,
      collatz(8050, [8050, 4025, 12076, 6038, 3019, 9058, 4529, 13588, 6794, 3397, 10192, 5096, 2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2683 > 1, builtin, [], []).
step(1 is 2683 mod 2, builtin, [], []).
step(8049 is 3 * 2683, builtin, [], []).
step(8050 is 8049 + 1, builtin, [], []).
step(collatz(8050, [8050, 4025, 12076, 6038, 3019, 9058, 4529, 13588, 6794, 3397, 10192, 5096, 2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 8050,
      'J' = [4025, 12076, 6038, 3019, 9058, 4529, 13588, 6794, 3397, 10192, 5096, 2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 4025],
     [8050 > 1,
      0 is 8050 mod 2,
      4025 is 8050 // 2,
      collatz(4025, [4025, 12076, 6038, 3019, 9058, 4529, 13588, 6794, 3397, 10192, 5096, 2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(8050 > 1, builtin, [], []).
step(0 is 8050 mod 2, builtin, [], []).
step(4025 is 8050 // 2, builtin, [], []).
step(collatz(4025, [4025, 12076, 6038, 3019, 9058, 4529, 13588, 6794, 3397, 10192, 5096, 2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 4025,
      'J' = [12076, 6038, 3019, 9058, 4529, 13588, 6794, 3397, 10192, 5096, 2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 12075,
      'N1' = 12076],
     [4025 > 1,
      1 is 4025 mod 2,
      12075 is 3 * 4025,
      12076 is 12075 + 1,
      collatz(12076, [12076, 6038, 3019, 9058, 4529, 13588, 6794, 3397, 10192, 5096, 2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(4025 > 1, builtin, [], []).
step(1 is 4025 mod 2, builtin, [], []).
step(12075 is 3 * 4025, builtin, [], []).
step(12076 is 12075 + 1, builtin, [], []).
step(collatz(12076, [12076, 6038, 3019, 9058, 4529, 13588, 6794, 3397, 10192, 5096, 2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 12076,
      'J' = [6038, 3019, 9058, 4529, 13588, 6794, 3397, 10192, 5096, 2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 6038],
     [12076 > 1,
      0 is 12076 mod 2,
      6038 is 12076 // 2,
      collatz(6038, [6038, 3019, 9058, 4529, 13588, 6794, 3397, 10192, 5096, 2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(12076 > 1, builtin, [], []).
step(0 is 12076 mod 2, builtin, [], []).
step(6038 is 12076 // 2, builtin, [], []).
step(collatz(6038, [6038, 3019, 9058, 4529, 13588, 6794, 3397, 10192, 5096, 2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 6038,
      'J' = [3019, 9058, 4529, 13588, 6794, 3397, 10192, 5096, 2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 3019],
     [6038 > 1,
      0 is 6038 mod 2,
      3019 is 6038 // 2,
      collatz(3019, [3019, 9058, 4529, 13588, 6794, 3397, 10192, 5096, 2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(6038 > 1, builtin, [], []).
step(0 is 6038 mod 2, builtin, [], []).
step(3019 is 6038 // 2, builtin, [], []).
step(collatz(3019, [3019, 9058, 4529, 13588, 6794, 3397, 10192, 5096, 2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 3019,
      'J' = [9058, 4529, 13588, 6794, 3397, 10192, 5096, 2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 9057,
      'N1' = 9058],
     [3019 > 1,
      1 is 3019 mod 2,
      9057 is 3 * 3019,
      9058 is 9057 + 1,
      collatz(9058, [9058, 4529, 13588, 6794, 3397, 10192, 5096, 2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(3019 > 1, builtin, [], []).
step(1 is 3019 mod 2, builtin, [], []).
step(9057 is 3 * 3019, builtin, [], []).
step(9058 is 9057 + 1, builtin, [], []).
step(collatz(9058, [9058, 4529, 13588, 6794, 3397, 10192, 5096, 2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 9058,
      'J' = [4529, 13588, 6794, 3397, 10192, 5096, 2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 4529],
     [9058 > 1,
      0 is 9058 mod 2,
      4529 is 9058 // 2,
      collatz(4529, [4529, 13588, 6794, 3397, 10192, 5096, 2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(9058 > 1, builtin, [], []).
step(0 is 9058 mod 2, builtin, [], []).
step(4529 is 9058 // 2, builtin, [], []).
step(collatz(4529, [4529, 13588, 6794, 3397, 10192, 5096, 2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 4529,
      'J' = [13588, 6794, 3397, 10192, 5096, 2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 13587,
      'N1' = 13588],
     [4529 > 1,
      1 is 4529 mod 2,
      13587 is 3 * 4529,
      13588 is 13587 + 1,
      collatz(13588, [13588, 6794, 3397, 10192, 5096, 2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(4529 > 1, builtin, [], []).
step(1 is 4529 mod 2, builtin, [], []).
step(13587 is 3 * 4529, builtin, [], []).
step(13588 is 13587 + 1, builtin, [], []).
step(collatz(13588, [13588, 6794, 3397, 10192, 5096, 2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 13588,
      'J' = [6794, 3397, 10192, 5096, 2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 6794],
     [13588 > 1,
      0 is 13588 mod 2,
      6794 is 13588 // 2,
      collatz(6794, [6794, 3397, 10192, 5096, 2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(13588 > 1, builtin, [], []).
step(0 is 13588 mod 2, builtin, [], []).
step(6794 is 13588 // 2, builtin, [], []).
step(collatz(6794, [6794, 3397, 10192, 5096, 2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 6794,
      'J' = [3397, 10192, 5096, 2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 3397],
     [6794 > 1,
      0 is 6794 mod 2,
      3397 is 6794 // 2,
      collatz(3397, [3397, 10192, 5096, 2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(6794 > 1, builtin, [], []).
step(0 is 6794 mod 2, builtin, [], []).
step(3397 is 6794 // 2, builtin, [], []).
step(collatz(3397, [3397, 10192, 5096, 2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 3397,
      'J' = [10192, 5096, 2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 10191,
      'N1' = 10192],
     [3397 > 1,
      1 is 3397 mod 2,
      10191 is 3 * 3397,
      10192 is 10191 + 1,
      collatz(10192, [10192, 5096, 2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(3397 > 1, builtin, [], []).
step(1 is 3397 mod 2, builtin, [], []).
step(10191 is 3 * 3397, builtin, [], []).
step(10192 is 10191 + 1, builtin, [], []).
step(collatz(10192, [10192, 5096, 2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 10192,
      'J' = [5096, 2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 5096],
     [10192 > 1,
      0 is 10192 mod 2,
      5096 is 10192 // 2,
      collatz(5096, [5096, 2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(10192 > 1, builtin, [], []).
step(0 is 10192 mod 2, builtin, [], []).
step(5096 is 10192 // 2, builtin, [], []).
step(collatz(5096, [5096, 2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 5096,
      'J' = [2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 2548],
     [5096 > 1,
      0 is 5096 mod 2,
      2548 is 5096 // 2,
      collatz(2548, [2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(5096 > 1, builtin, [], []).
step(0 is 5096 mod 2, builtin, [], []).
step(2548 is 5096 // 2, builtin, [], []).
step(collatz(2548, [2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 2548,
      'J' = [1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1274],
     [2548 > 1,
      0 is 2548 mod 2,
      1274 is 2548 // 2,
      collatz(1274, [1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2548 > 1, builtin, [], []).
step(0 is 2548 mod 2, builtin, [], []).
step(1274 is 2548 // 2, builtin, [], []).
step(collatz(1274, [1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1274,
      'J' = [637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 637],
     [1274 > 1,
      0 is 1274 mod 2,
      637 is 1274 // 2,
      collatz(637, [637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1274 > 1, builtin, [], []).
step(0 is 1274 mod 2, builtin, [], []).
step(637 is 1274 // 2, builtin, [], []).
step(collatz(637, [637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 637,
      'J' = [1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 1911,
      'N1' = 1912],
     [637 > 1,
      1 is 637 mod 2,
      1911 is 3 * 637,
      1912 is 1911 + 1,
      collatz(1912, [1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(637 > 1, builtin, [], []).
step(1 is 637 mod 2, builtin, [], []).
step(1911 is 3 * 637, builtin, [], []).
step(1912 is 1911 + 1, builtin, [], []).
step(collatz(1912, [1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1912,
      'J' = [956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 956],
     [1912 > 1,
      0 is 1912 mod 2,
      956 is 1912 // 2,
      collatz(956, [956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1912 > 1, builtin, [], []).
step(0 is 1912 mod 2, builtin, [], []).
step(956 is 1912 // 2, builtin, [], []).
step(collatz(956, [956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 956,
      'J' = [478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 478],
     [956 > 1,
      0 is 956 mod 2,
      478 is 956 // 2,
      collatz(478, [478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(956 > 1, builtin, [], []).
step(0 is 956 mod 2, builtin, [], []).
step(478 is 956 // 2, builtin, [], []).
step(collatz(478, [478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 478,
      'J' = [239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 239],
     [478 > 1,
      0 is 478 mod 2,
      239 is 478 // 2,
      collatz(239, [239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(478 > 1, builtin, [], []).
step(0 is 478 mod 2, builtin, [], []).
step(239 is 478 // 2, builtin, [], []).
step(collatz(239, [239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 239,
      'J' = [718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 717,
      'N1' = 718],
     [239 > 1,
      1 is 239 mod 2,
      717 is 3 * 239,
      718 is 717 + 1,
      collatz(718, [718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(239 > 1, builtin, [], []).
step(1 is 239 mod 2, builtin, [], []).
step(717 is 3 * 239, builtin, [], []).
step(718 is 717 + 1, builtin, [], []).
step(collatz(718, [718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 718,
      'J' = [359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 359],
     [718 > 1,
      0 is 718 mod 2,
      359 is 718 // 2,
      collatz(359, [359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(718 > 1, builtin, [], []).
step(0 is 718 mod 2, builtin, [], []).
step(359 is 718 // 2, builtin, [], []).
step(collatz(359, [359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 359,
      'J' = [1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 1077,
      'N1' = 1078],
     [359 > 1,
      1 is 359 mod 2,
      1077 is 3 * 359,
      1078 is 1077 + 1,
      collatz(1078, [1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(359 > 1, builtin, [], []).
step(1 is 359 mod 2, builtin, [], []).
step(1077 is 3 * 359, builtin, [], []).
step(1078 is 1077 + 1, builtin, [], []).
step(collatz(1078, [1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1078,
      'J' = [539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 539],
     [1078 > 1,
      0 is 1078 mod 2,
      539 is 1078 // 2,
      collatz(539, [539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1078 > 1, builtin, [], []).
step(0 is 1078 mod 2, builtin, [], []).
step(539 is 1078 // 2, builtin, [], []).
step(collatz(539, [539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 539,
      'J' = [1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 1617,
      'N1' = 1618],
     [539 > 1,
      1 is 539 mod 2,
      1617 is 3 * 539,
      1618 is 1617 + 1,
      collatz(1618, [1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(539 > 1, builtin, [], []).
step(1 is 539 mod 2, builtin, [], []).
step(1617 is 3 * 539, builtin, [], []).
step(1618 is 1617 + 1, builtin, [], []).
step(collatz(1618, [1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1618,
      'J' = [809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 809],
     [1618 > 1,
      0 is 1618 mod 2,
      809 is 1618 // 2,
      collatz(809, [809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1618 > 1, builtin, [], []).
step(0 is 1618 mod 2, builtin, [], []).
step(809 is 1618 // 2, builtin, [], []).
step(collatz(809, [809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 809,
      'J' = [2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 2427,
      'N1' = 2428],
     [809 > 1,
      1 is 809 mod 2,
      2427 is 3 * 809,
      2428 is 2427 + 1,
      collatz(2428, [2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(809 > 1, builtin, [], []).
step(1 is 809 mod 2, builtin, [], []).
step(2427 is 3 * 809, builtin, [], []).
step(2428 is 2427 + 1, builtin, [], []).
step(collatz(2428, [2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 2428,
      'J' = [1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1214],
     [2428 > 1,
      0 is 2428 mod 2,
      1214 is 2428 // 2,
      collatz(1214, [1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2428 > 1, builtin, [], []).
step(0 is 2428 mod 2, builtin, [], []).
step(1214 is 2428 // 2, builtin, [], []).
step(collatz(1214, [1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1214,
      'J' = [607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 607],
     [1214 > 1,
      0 is 1214 mod 2,
      607 is 1214 // 2,
      collatz(607, [607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1214 > 1, builtin, [], []).
step(0 is 1214 mod 2, builtin, [], []).
step(607 is 1214 // 2, builtin, [], []).
step(collatz(607, [607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 607,
      'J' = [1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 1821,
      'N1' = 1822],
     [607 > 1,
      1 is 607 mod 2,
      1821 is 3 * 607,
      1822 is 1821 + 1,
      collatz(1822, [1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(607 > 1, builtin, [], []).
step(1 is 607 mod 2, builtin, [], []).
step(1821 is 3 * 607, builtin, [], []).
step(1822 is 1821 + 1, builtin, [], []).
step(collatzTrajectory(990, [990, 495, 1486, 743, 2230, 1115, 3346, 1673, 5020, 2510, 1255, 3766, 1883, 5650, 2825, 8476, 4238, 2119, 6358, 3179, 9538, 4769, 14308, 7154, 3577, 10732, 5366, 2683, 8050, 4025, 12076, 6038, 3019, 9058, 4529, 13588, 6794, 3397, 10192, 5096, 2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 990,
      'M' = [990, 495, 1486, 743, 2230, 1115, 3346, 1673, 5020, 2510, 1255, 3766, 1883, 5650, 2825, 8476, 4238, 2119, 6358, 3179, 9538, 4769, 14308, 7154, 3577, 10732, 5366, 2683, 8050, 4025, 12076, 6038, 3019, 9058, 4529, 13588, 6794, 3397, 10192, 5096, 2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 10],
     [repeat(1000, 10),
      990 is 1000 - 10,
      collatz(990, [990, 495, 1486, 743, 2230, 1115, 3346, 1673, 5020, 2510, 1255, 3766, 1883, 5650, 2825, 8476, 4238, 2119, 6358, 3179, 9538, 4769, 14308, 7154, 3577, 10732, 5366, 2683, 8050, 4025, 12076, 6038, 3019, 9058, 4529, 13588, 6794, 3397, 10192, 5096, 2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 10),
     rule(3),
     ['N' = 1000, 'I' = 10, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 10)]).
step(between(0, 999, 10), builtin, [], []).
step(990 is 1000 - 10, builtin, [], []).
step(collatz(990, [990, 495, 1486, 743, 2230, 1115, 3346, 1673, 5020, 2510, 1255, 3766, 1883, 5650, 2825, 8476, 4238, 2119, 6358, 3179, 9538, 4769, 14308, 7154, 3577, 10732, 5366, 2683, 8050, 4025, 12076, 6038, 3019, 9058, 4529, 13588, 6794, 3397, 10192, 5096, 2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 990,
      'J' = [495, 1486, 743, 2230, 1115, 3346, 1673, 5020, 2510, 1255, 3766, 1883, 5650, 2825, 8476, 4238, 2119, 6358, 3179, 9538, 4769, 14308, 7154, 3577, 10732, 5366, 2683, 8050, 4025, 12076, 6038, 3019, 9058, 4529, 13588, 6794, 3397, 10192, 5096, 2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 495],
     [990 > 1,
      0 is 990 mod 2,
      495 is 990 // 2,
      collatz(495, [495, 1486, 743, 2230, 1115, 3346, 1673, 5020, 2510, 1255, 3766, 1883, 5650, 2825, 8476, 4238, 2119, 6358, 3179, 9538, 4769, 14308, 7154, 3577, 10732, 5366, 2683, 8050, 4025, 12076, 6038, 3019, 9058, 4529, 13588, 6794, 3397, 10192, 5096, 2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(990 > 1, builtin, [], []).
step(0 is 990 mod 2, builtin, [], []).
step(495 is 990 // 2, builtin, [], []).
step(collatz(495, [495, 1486, 743, 2230, 1115, 3346, 1673, 5020, 2510, 1255, 3766, 1883, 5650, 2825, 8476, 4238, 2119, 6358, 3179, 9538, 4769, 14308, 7154, 3577, 10732, 5366, 2683, 8050, 4025, 12076, 6038, 3019, 9058, 4529, 13588, 6794, 3397, 10192, 5096, 2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 495,
      'J' = [1486, 743, 2230, 1115, 3346, 1673, 5020, 2510, 1255, 3766, 1883, 5650, 2825, 8476, 4238, 2119, 6358, 3179, 9538, 4769, 14308, 7154, 3577, 10732, 5366, 2683, 8050, 4025, 12076, 6038, 3019, 9058, 4529, 13588, 6794, 3397, 10192, 5096, 2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 1485,
      'N1' = 1486],
     [495 > 1,
      1 is 495 mod 2,
      1485 is 3 * 495,
      1486 is 1485 + 1,
      collatz(1486, [1486, 743, 2230, 1115, 3346, 1673, 5020, 2510, 1255, 3766, 1883, 5650, 2825, 8476, 4238, 2119, 6358, 3179, 9538, 4769, 14308, 7154, 3577, 10732, 5366, 2683, 8050, 4025, 12076, 6038, 3019, 9058, 4529, 13588, 6794, 3397, 10192, 5096, 2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(495 > 1, builtin, [], []).
step(1 is 495 mod 2, builtin, [], []).
step(1485 is 3 * 495, builtin, [], []).
step(1486 is 1485 + 1, builtin, [], []).
step(collatz(1486, [1486, 743, 2230, 1115, 3346, 1673, 5020, 2510, 1255, 3766, 1883, 5650, 2825, 8476, 4238, 2119, 6358, 3179, 9538, 4769, 14308, 7154, 3577, 10732, 5366, 2683, 8050, 4025, 12076, 6038, 3019, 9058, 4529, 13588, 6794, 3397, 10192, 5096, 2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1486,
      'J' = [743, 2230, 1115, 3346, 1673, 5020, 2510, 1255, 3766, 1883, 5650, 2825, 8476, 4238, 2119, 6358, 3179, 9538, 4769, 14308, 7154, 3577, 10732, 5366, 2683, 8050, 4025, 12076, 6038, 3019, 9058, 4529, 13588, 6794, 3397, 10192, 5096, 2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 743],
     [1486 > 1,
      0 is 1486 mod 2,
      743 is 1486 // 2,
      collatz(743, [743, 2230, 1115, 3346, 1673, 5020, 2510, 1255, 3766, 1883, 5650, 2825, 8476, 4238, 2119, 6358, 3179, 9538, 4769, 14308, 7154, 3577, 10732, 5366, 2683, 8050, 4025, 12076, 6038, 3019, 9058, 4529, 13588, 6794, 3397, 10192, 5096, 2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1486 > 1, builtin, [], []).
step(0 is 1486 mod 2, builtin, [], []).
step(743 is 1486 // 2, builtin, [], []).
step(collatz(743, [743, 2230, 1115, 3346, 1673, 5020, 2510, 1255, 3766, 1883, 5650, 2825, 8476, 4238, 2119, 6358, 3179, 9538, 4769, 14308, 7154, 3577, 10732, 5366, 2683, 8050, 4025, 12076, 6038, 3019, 9058, 4529, 13588, 6794, 3397, 10192, 5096, 2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 743,
      'J' = [2230, 1115, 3346, 1673, 5020, 2510, 1255, 3766, 1883, 5650, 2825, 8476, 4238, 2119, 6358, 3179, 9538, 4769, 14308, 7154, 3577, 10732, 5366, 2683, 8050, 4025, 12076, 6038, 3019, 9058, 4529, 13588, 6794, 3397, 10192, 5096, 2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 2229,
      'N1' = 2230],
     [743 > 1,
      1 is 743 mod 2,
      2229 is 3 * 743,
      2230 is 2229 + 1,
      collatz(2230, [2230, 1115, 3346, 1673, 5020, 2510, 1255, 3766, 1883, 5650, 2825, 8476, 4238, 2119, 6358, 3179, 9538, 4769, 14308, 7154, 3577, 10732, 5366, 2683, 8050, 4025, 12076, 6038, 3019, 9058, 4529, 13588, 6794, 3397, 10192, 5096, 2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(743 > 1, builtin, [], []).
step(1 is 743 mod 2, builtin, [], []).
step(2229 is 3 * 743, builtin, [], []).
step(2230 is 2229 + 1, builtin, [], []).
step(collatz(2230, [2230, 1115, 3346, 1673, 5020, 2510, 1255, 3766, 1883, 5650, 2825, 8476, 4238, 2119, 6358, 3179, 9538, 4769, 14308, 7154, 3577, 10732, 5366, 2683, 8050, 4025, 12076, 6038, 3019, 9058, 4529, 13588, 6794, 3397, 10192, 5096, 2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 2230,
      'J' = [1115, 3346, 1673, 5020, 2510, 1255, 3766, 1883, 5650, 2825, 8476, 4238, 2119, 6358, 3179, 9538, 4769, 14308, 7154, 3577, 10732, 5366, 2683, 8050, 4025, 12076, 6038, 3019, 9058, 4529, 13588, 6794, 3397, 10192, 5096, 2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1115],
     [2230 > 1,
      0 is 2230 mod 2,
      1115 is 2230 // 2,
      collatz(1115, [1115, 3346, 1673, 5020, 2510, 1255, 3766, 1883, 5650, 2825, 8476, 4238, 2119, 6358, 3179, 9538, 4769, 14308, 7154, 3577, 10732, 5366, 2683, 8050, 4025, 12076, 6038, 3019, 9058, 4529, 13588, 6794, 3397, 10192, 5096, 2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2230 > 1, builtin, [], []).
step(0 is 2230 mod 2, builtin, [], []).
step(1115 is 2230 // 2, builtin, [], []).
step(collatz(1115, [1115, 3346, 1673, 5020, 2510, 1255, 3766, 1883, 5650, 2825, 8476, 4238, 2119, 6358, 3179, 9538, 4769, 14308, 7154, 3577, 10732, 5366, 2683, 8050, 4025, 12076, 6038, 3019, 9058, 4529, 13588, 6794, 3397, 10192, 5096, 2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 1115,
      'J' = [3346, 1673, 5020, 2510, 1255, 3766, 1883, 5650, 2825, 8476, 4238, 2119, 6358, 3179, 9538, 4769, 14308, 7154, 3577, 10732, 5366, 2683, 8050, 4025, 12076, 6038, 3019, 9058, 4529, 13588, 6794, 3397, 10192, 5096, 2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 3345,
      'N1' = 3346],
     [1115 > 1,
      1 is 1115 mod 2,
      3345 is 3 * 1115,
      3346 is 3345 + 1,
      collatz(3346, [3346, 1673, 5020, 2510, 1255, 3766, 1883, 5650, 2825, 8476, 4238, 2119, 6358, 3179, 9538, 4769, 14308, 7154, 3577, 10732, 5366, 2683, 8050, 4025, 12076, 6038, 3019, 9058, 4529, 13588, 6794, 3397, 10192, 5096, 2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1115 > 1, builtin, [], []).
step(1 is 1115 mod 2, builtin, [], []).
step(3345 is 3 * 1115, builtin, [], []).
step(3346 is 3345 + 1, builtin, [], []).
step(collatz(3346, [3346, 1673, 5020, 2510, 1255, 3766, 1883, 5650, 2825, 8476, 4238, 2119, 6358, 3179, 9538, 4769, 14308, 7154, 3577, 10732, 5366, 2683, 8050, 4025, 12076, 6038, 3019, 9058, 4529, 13588, 6794, 3397, 10192, 5096, 2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 3346,
      'J' = [1673, 5020, 2510, 1255, 3766, 1883, 5650, 2825, 8476, 4238, 2119, 6358, 3179, 9538, 4769, 14308, 7154, 3577, 10732, 5366, 2683, 8050, 4025, 12076, 6038, 3019, 9058, 4529, 13588, 6794, 3397, 10192, 5096, 2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1673],
     [3346 > 1,
      0 is 3346 mod 2,
      1673 is 3346 // 2,
      collatz(1673, [1673, 5020, 2510, 1255, 3766, 1883, 5650, 2825, 8476, 4238, 2119, 6358, 3179, 9538, 4769, 14308, 7154, 3577, 10732, 5366, 2683, 8050, 4025, 12076, 6038, 3019, 9058, 4529, 13588, 6794, 3397, 10192, 5096, 2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(3346 > 1, builtin, [], []).
step(0 is 3346 mod 2, builtin, [], []).
step(1673 is 3346 // 2, builtin, [], []).
step(collatz(1673, [1673, 5020, 2510, 1255, 3766, 1883, 5650, 2825, 8476, 4238, 2119, 6358, 3179, 9538, 4769, 14308, 7154, 3577, 10732, 5366, 2683, 8050, 4025, 12076, 6038, 3019, 9058, 4529, 13588, 6794, 3397, 10192, 5096, 2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 1673,
      'J' = [5020, 2510, 1255, 3766, 1883, 5650, 2825, 8476, 4238, 2119, 6358, 3179, 9538, 4769, 14308, 7154, 3577, 10732, 5366, 2683, 8050, 4025, 12076, 6038, 3019, 9058, 4529, 13588, 6794, 3397, 10192, 5096, 2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 5019,
      'N1' = 5020],
     [1673 > 1,
      1 is 1673 mod 2,
      5019 is 3 * 1673,
      5020 is 5019 + 1,
      collatz(5020, [5020, 2510, 1255, 3766, 1883, 5650, 2825, 8476, 4238, 2119, 6358, 3179, 9538, 4769, 14308, 7154, 3577, 10732, 5366, 2683, 8050, 4025, 12076, 6038, 3019, 9058, 4529, 13588, 6794, 3397, 10192, 5096, 2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1673 > 1, builtin, [], []).
step(1 is 1673 mod 2, builtin, [], []).
step(5019 is 3 * 1673, builtin, [], []).
step(5020 is 5019 + 1, builtin, [], []).
step(collatz(5020, [5020, 2510, 1255, 3766, 1883, 5650, 2825, 8476, 4238, 2119, 6358, 3179, 9538, 4769, 14308, 7154, 3577, 10732, 5366, 2683, 8050, 4025, 12076, 6038, 3019, 9058, 4529, 13588, 6794, 3397, 10192, 5096, 2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 5020,
      'J' = [2510, 1255, 3766, 1883, 5650, 2825, 8476, 4238, 2119, 6358, 3179, 9538, 4769, 14308, 7154, 3577, 10732, 5366, 2683, 8050, 4025, 12076, 6038, 3019, 9058, 4529, 13588, 6794, 3397, 10192, 5096, 2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 2510],
     [5020 > 1,
      0 is 5020 mod 2,
      2510 is 5020 // 2,
      collatz(2510, [2510, 1255, 3766, 1883, 5650, 2825, 8476, 4238, 2119, 6358, 3179, 9538, 4769, 14308, 7154, 3577, 10732, 5366, 2683, 8050, 4025, 12076, 6038, 3019, 9058, 4529, 13588, 6794, 3397, 10192, 5096, 2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(5020 > 1, builtin, [], []).
step(0 is 5020 mod 2, builtin, [], []).
step(2510 is 5020 // 2, builtin, [], []).
step(collatz(2510, [2510, 1255, 3766, 1883, 5650, 2825, 8476, 4238, 2119, 6358, 3179, 9538, 4769, 14308, 7154, 3577, 10732, 5366, 2683, 8050, 4025, 12076, 6038, 3019, 9058, 4529, 13588, 6794, 3397, 10192, 5096, 2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 2510,
      'J' = [1255, 3766, 1883, 5650, 2825, 8476, 4238, 2119, 6358, 3179, 9538, 4769, 14308, 7154, 3577, 10732, 5366, 2683, 8050, 4025, 12076, 6038, 3019, 9058, 4529, 13588, 6794, 3397, 10192, 5096, 2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1255],
     [2510 > 1,
      0 is 2510 mod 2,
      1255 is 2510 // 2,
      collatz(1255, [1255, 3766, 1883, 5650, 2825, 8476, 4238, 2119, 6358, 3179, 9538, 4769, 14308, 7154, 3577, 10732, 5366, 2683, 8050, 4025, 12076, 6038, 3019, 9058, 4529, 13588, 6794, 3397, 10192, 5096, 2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2510 > 1, builtin, [], []).
step(0 is 2510 mod 2, builtin, [], []).
step(1255 is 2510 // 2, builtin, [], []).
step(collatz(1255, [1255, 3766, 1883, 5650, 2825, 8476, 4238, 2119, 6358, 3179, 9538, 4769, 14308, 7154, 3577, 10732, 5366, 2683, 8050, 4025, 12076, 6038, 3019, 9058, 4529, 13588, 6794, 3397, 10192, 5096, 2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 1255,
      'J' = [3766, 1883, 5650, 2825, 8476, 4238, 2119, 6358, 3179, 9538, 4769, 14308, 7154, 3577, 10732, 5366, 2683, 8050, 4025, 12076, 6038, 3019, 9058, 4529, 13588, 6794, 3397, 10192, 5096, 2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 3765,
      'N1' = 3766],
     [1255 > 1,
      1 is 1255 mod 2,
      3765 is 3 * 1255,
      3766 is 3765 + 1,
      collatz(3766, [3766, 1883, 5650, 2825, 8476, 4238, 2119, 6358, 3179, 9538, 4769, 14308, 7154, 3577, 10732, 5366, 2683, 8050, 4025, 12076, 6038, 3019, 9058, 4529, 13588, 6794, 3397, 10192, 5096, 2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1255 > 1, builtin, [], []).
step(1 is 1255 mod 2, builtin, [], []).
step(3765 is 3 * 1255, builtin, [], []).
step(3766 is 3765 + 1, builtin, [], []).
step(collatzTrajectory(989, [989, 2968, 1484, 742, 371, 1114, 557, 1672, 836, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 989,
      'M' = [989, 2968, 1484, 742, 371, 1114, 557, 1672, 836, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 11],
     [repeat(1000, 11),
      989 is 1000 - 11,
      collatz(989, [989, 2968, 1484, 742, 371, 1114, 557, 1672, 836, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 11),
     rule(3),
     ['N' = 1000, 'I' = 11, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 11)]).
step(between(0, 999, 11), builtin, [], []).
step(989 is 1000 - 11, builtin, [], []).
step(collatz(989, [989, 2968, 1484, 742, 371, 1114, 557, 1672, 836, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 989,
      'J' = [2968, 1484, 742, 371, 1114, 557, 1672, 836, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 2967,
      'N1' = 2968],
     [989 > 1,
      1 is 989 mod 2,
      2967 is 3 * 989,
      2968 is 2967 + 1,
      collatz(2968, [2968, 1484, 742, 371, 1114, 557, 1672, 836, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(989 > 1, builtin, [], []).
step(1 is 989 mod 2, builtin, [], []).
step(2967 is 3 * 989, builtin, [], []).
step(2968 is 2967 + 1, builtin, [], []).
step(collatz(2968, [2968, 1484, 742, 371, 1114, 557, 1672, 836, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 2968,
      'J' = [1484, 742, 371, 1114, 557, 1672, 836, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1484],
     [2968 > 1,
      0 is 2968 mod 2,
      1484 is 2968 // 2,
      collatz(1484, [1484, 742, 371, 1114, 557, 1672, 836, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2968 > 1, builtin, [], []).
step(0 is 2968 mod 2, builtin, [], []).
step(1484 is 2968 // 2, builtin, [], []).
step(collatz(1484, [1484, 742, 371, 1114, 557, 1672, 836, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1484,
      'J' = [742, 371, 1114, 557, 1672, 836, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 742],
     [1484 > 1,
      0 is 1484 mod 2,
      742 is 1484 // 2,
      collatz(742, [742, 371, 1114, 557, 1672, 836, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1484 > 1, builtin, [], []).
step(0 is 1484 mod 2, builtin, [], []).
step(742 is 1484 // 2, builtin, [], []).
step(collatz(742, [742, 371, 1114, 557, 1672, 836, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 742,
      'J' = [371, 1114, 557, 1672, 836, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 371],
     [742 > 1,
      0 is 742 mod 2,
      371 is 742 // 2,
      collatz(371, [371, 1114, 557, 1672, 836, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(742 > 1, builtin, [], []).
step(0 is 742 mod 2, builtin, [], []).
step(371 is 742 // 2, builtin, [], []).
step(collatz(371, [371, 1114, 557, 1672, 836, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 371,
      'J' = [1114, 557, 1672, 836, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 1113,
      'N1' = 1114],
     [371 > 1,
      1 is 371 mod 2,
      1113 is 3 * 371,
      1114 is 1113 + 1,
      collatz(1114, [1114, 557, 1672, 836, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(371 > 1, builtin, [], []).
step(1 is 371 mod 2, builtin, [], []).
step(1113 is 3 * 371, builtin, [], []).
step(1114 is 1113 + 1, builtin, [], []).
step(collatz(1114, [1114, 557, 1672, 836, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1114,
      'J' = [557, 1672, 836, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 557],
     [1114 > 1,
      0 is 1114 mod 2,
      557 is 1114 // 2,
      collatz(557, [557, 1672, 836, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1114 > 1, builtin, [], []).
step(0 is 1114 mod 2, builtin, [], []).
step(557 is 1114 // 2, builtin, [], []).
step(collatz(557, [557, 1672, 836, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 557,
      'J' = [1672, 836, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 1671,
      'N1' = 1672],
     [557 > 1,
      1 is 557 mod 2,
      1671 is 3 * 557,
      1672 is 1671 + 1,
      collatz(1672, [1672, 836, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(557 > 1, builtin, [], []).
step(1 is 557 mod 2, builtin, [], []).
step(1671 is 3 * 557, builtin, [], []).
step(1672 is 1671 + 1, builtin, [], []).
step(collatz(1672, [1672, 836, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1672,
      'J' = [836, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 836],
     [1672 > 1,
      0 is 1672 mod 2,
      836 is 1672 // 2,
      collatz(836, [836, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1672 > 1, builtin, [], []).
step(0 is 1672 mod 2, builtin, [], []).
step(836 is 1672 // 2, builtin, [], []).
step(collatz(836, [836, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 836,
      'J' = [418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 418],
     [836 > 1,
      0 is 836 mod 2,
      418 is 836 // 2,
      collatz(418, [418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(836 > 1, builtin, [], []).
step(0 is 836 mod 2, builtin, [], []).
step(418 is 836 // 2, builtin, [], []).
step(collatz(418, [418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 418,
      'J' = [209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 209],
     [418 > 1,
      0 is 418 mod 2,
      209 is 418 // 2,
      collatz(209, [209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(418 > 1, builtin, [], []).
step(0 is 418 mod 2, builtin, [], []).
step(209 is 418 // 2, builtin, [], []).
step(collatz(209, [209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 209,
      'J' = [628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 627,
      'N1' = 628],
     [209 > 1,
      1 is 209 mod 2,
      627 is 3 * 209,
      628 is 627 + 1,
      collatz(628, [628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(209 > 1, builtin, [], []).
step(1 is 209 mod 2, builtin, [], []).
step(627 is 3 * 209, builtin, [], []).
step(628 is 627 + 1, builtin, [], []).
step(collatz(628, [628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 628,
      'J' = [314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 314],
     [628 > 1,
      0 is 628 mod 2,
      314 is 628 // 2,
      collatz(314, [314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(628 > 1, builtin, [], []).
step(0 is 628 mod 2, builtin, [], []).
step(314 is 628 // 2, builtin, [], []).
step(collatz(314, [314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 314,
      'J' = [157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 157],
     [314 > 1,
      0 is 314 mod 2,
      157 is 314 // 2,
      collatz(157, [157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(314 > 1, builtin, [], []).
step(0 is 314 mod 2, builtin, [], []).
step(157 is 314 // 2, builtin, [], []).
step(collatz(157, [157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 157,
      'J' = [472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 471,
      'N1' = 472],
     [157 > 1,
      1 is 157 mod 2,
      471 is 3 * 157,
      472 is 471 + 1,
      collatz(472, [472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(157 > 1, builtin, [], []).
step(1 is 157 mod 2, builtin, [], []).
step(471 is 3 * 157, builtin, [], []).
step(472 is 471 + 1, builtin, [], []).
step(collatz(472, [472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 472,
      'J' = [236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 236],
     [472 > 1,
      0 is 472 mod 2,
      236 is 472 // 2,
      collatz(236, [236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(472 > 1, builtin, [], []).
step(0 is 472 mod 2, builtin, [], []).
step(236 is 472 // 2, builtin, [], []).
step(collatz(236, [236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 236,
      'J' = [118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 118],
     [236 > 1,
      0 is 236 mod 2,
      118 is 236 // 2,
      collatz(118, [118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(236 > 1, builtin, [], []).
step(0 is 236 mod 2, builtin, [], []).
step(118 is 236 // 2, builtin, [], []).
step(collatz(118, [118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 118,
      'J' = [59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 59],
     [118 > 1,
      0 is 118 mod 2,
      59 is 118 // 2,
      collatz(59, [59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(118 > 1, builtin, [], []).
step(0 is 118 mod 2, builtin, [], []).
step(59 is 118 // 2, builtin, [], []).
step(collatz(59, [59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 59,
      'J' = [178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 177,
      'N1' = 178],
     [59 > 1,
      1 is 59 mod 2,
      177 is 3 * 59,
      178 is 177 + 1,
      collatz(178, [178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(59 > 1, builtin, [], []).
step(1 is 59 mod 2, builtin, [], []).
step(177 is 3 * 59, builtin, [], []).
step(178 is 177 + 1, builtin, [], []).
step(collatzTrajectory(988, [988, 494, 247, 742, 371, 1114, 557, 1672, 836, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 988,
      'M' = [988, 494, 247, 742, 371, 1114, 557, 1672, 836, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 12],
     [repeat(1000, 12),
      988 is 1000 - 12,
      collatz(988, [988, 494, 247, 742, 371, 1114, 557, 1672, 836, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 12),
     rule(3),
     ['N' = 1000, 'I' = 12, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 12)]).
step(between(0, 999, 12), builtin, [], []).
step(988 is 1000 - 12, builtin, [], []).
step(collatz(988, [988, 494, 247, 742, 371, 1114, 557, 1672, 836, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 988,
      'J' = [494, 247, 742, 371, 1114, 557, 1672, 836, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 494],
     [988 > 1,
      0 is 988 mod 2,
      494 is 988 // 2,
      collatz(494, [494, 247, 742, 371, 1114, 557, 1672, 836, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(988 > 1, builtin, [], []).
step(0 is 988 mod 2, builtin, [], []).
step(494 is 988 // 2, builtin, [], []).
step(collatz(494, [494, 247, 742, 371, 1114, 557, 1672, 836, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 494,
      'J' = [247, 742, 371, 1114, 557, 1672, 836, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 247],
     [494 > 1,
      0 is 494 mod 2,
      247 is 494 // 2,
      collatz(247, [247, 742, 371, 1114, 557, 1672, 836, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(494 > 1, builtin, [], []).
step(0 is 494 mod 2, builtin, [], []).
step(247 is 494 // 2, builtin, [], []).
step(collatz(247, [247, 742, 371, 1114, 557, 1672, 836, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 247,
      'J' = [742, 371, 1114, 557, 1672, 836, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 741,
      'N1' = 742],
     [247 > 1,
      1 is 247 mod 2,
      741 is 3 * 247,
      742 is 741 + 1,
      collatz(742, [742, 371, 1114, 557, 1672, 836, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(247 > 1, builtin, [], []).
step(1 is 247 mod 2, builtin, [], []).
step(741 is 3 * 247, builtin, [], []).
step(742 is 741 + 1, builtin, [], []).
step(collatzTrajectory(987, [987, 2962, 1481, 4444, 2222, 1111, 3334, 1667, 5002, 2501, 7504, 3752, 1876, 938, 469, 1408, 704, 352, 176, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 987,
      'M' = [987, 2962, 1481, 4444, 2222, 1111, 3334, 1667, 5002, 2501, 7504, 3752, 1876, 938, 469, 1408, 704, 352, 176, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 13],
     [repeat(1000, 13),
      987 is 1000 - 13,
      collatz(987, [987, 2962, 1481, 4444, 2222, 1111, 3334, 1667, 5002, 2501, 7504, 3752, 1876, 938, 469, 1408, 704, 352, 176, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 13),
     rule(3),
     ['N' = 1000, 'I' = 13, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 13)]).
step(between(0, 999, 13), builtin, [], []).
step(987 is 1000 - 13, builtin, [], []).
step(collatz(987, [987, 2962, 1481, 4444, 2222, 1111, 3334, 1667, 5002, 2501, 7504, 3752, 1876, 938, 469, 1408, 704, 352, 176, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 987,
      'J' = [2962, 1481, 4444, 2222, 1111, 3334, 1667, 5002, 2501, 7504, 3752, 1876, 938, 469, 1408, 704, 352, 176, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 2961,
      'N1' = 2962],
     [987 > 1,
      1 is 987 mod 2,
      2961 is 3 * 987,
      2962 is 2961 + 1,
      collatz(2962, [2962, 1481, 4444, 2222, 1111, 3334, 1667, 5002, 2501, 7504, 3752, 1876, 938, 469, 1408, 704, 352, 176, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(987 > 1, builtin, [], []).
step(1 is 987 mod 2, builtin, [], []).
step(2961 is 3 * 987, builtin, [], []).
step(2962 is 2961 + 1, builtin, [], []).
step(collatz(2962, [2962, 1481, 4444, 2222, 1111, 3334, 1667, 5002, 2501, 7504, 3752, 1876, 938, 469, 1408, 704, 352, 176, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 2962,
      'J' = [1481, 4444, 2222, 1111, 3334, 1667, 5002, 2501, 7504, 3752, 1876, 938, 469, 1408, 704, 352, 176, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1481],
     [2962 > 1,
      0 is 2962 mod 2,
      1481 is 2962 // 2,
      collatz(1481, [1481, 4444, 2222, 1111, 3334, 1667, 5002, 2501, 7504, 3752, 1876, 938, 469, 1408, 704, 352, 176, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2962 > 1, builtin, [], []).
step(0 is 2962 mod 2, builtin, [], []).
step(1481 is 2962 // 2, builtin, [], []).
step(collatz(1481, [1481, 4444, 2222, 1111, 3334, 1667, 5002, 2501, 7504, 3752, 1876, 938, 469, 1408, 704, 352, 176, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 1481,
      'J' = [4444, 2222, 1111, 3334, 1667, 5002, 2501, 7504, 3752, 1876, 938, 469, 1408, 704, 352, 176, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 4443,
      'N1' = 4444],
     [1481 > 1,
      1 is 1481 mod 2,
      4443 is 3 * 1481,
      4444 is 4443 + 1,
      collatz(4444, [4444, 2222, 1111, 3334, 1667, 5002, 2501, 7504, 3752, 1876, 938, 469, 1408, 704, 352, 176, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1481 > 1, builtin, [], []).
step(1 is 1481 mod 2, builtin, [], []).
step(4443 is 3 * 1481, builtin, [], []).
step(4444 is 4443 + 1, builtin, [], []).
step(collatz(4444, [4444, 2222, 1111, 3334, 1667, 5002, 2501, 7504, 3752, 1876, 938, 469, 1408, 704, 352, 176, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 4444,
      'J' = [2222, 1111, 3334, 1667, 5002, 2501, 7504, 3752, 1876, 938, 469, 1408, 704, 352, 176, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 2222],
     [4444 > 1,
      0 is 4444 mod 2,
      2222 is 4444 // 2,
      collatz(2222, [2222, 1111, 3334, 1667, 5002, 2501, 7504, 3752, 1876, 938, 469, 1408, 704, 352, 176, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(4444 > 1, builtin, [], []).
step(0 is 4444 mod 2, builtin, [], []).
step(2222 is 4444 // 2, builtin, [], []).
step(collatz(2222, [2222, 1111, 3334, 1667, 5002, 2501, 7504, 3752, 1876, 938, 469, 1408, 704, 352, 176, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 2222,
      'J' = [1111, 3334, 1667, 5002, 2501, 7504, 3752, 1876, 938, 469, 1408, 704, 352, 176, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1111],
     [2222 > 1,
      0 is 2222 mod 2,
      1111 is 2222 // 2,
      collatz(1111, [1111, 3334, 1667, 5002, 2501, 7504, 3752, 1876, 938, 469, 1408, 704, 352, 176, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2222 > 1, builtin, [], []).
step(0 is 2222 mod 2, builtin, [], []).
step(1111 is 2222 // 2, builtin, [], []).
step(collatz(1111, [1111, 3334, 1667, 5002, 2501, 7504, 3752, 1876, 938, 469, 1408, 704, 352, 176, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 1111,
      'J' = [3334, 1667, 5002, 2501, 7504, 3752, 1876, 938, 469, 1408, 704, 352, 176, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 3333,
      'N1' = 3334],
     [1111 > 1,
      1 is 1111 mod 2,
      3333 is 3 * 1111,
      3334 is 3333 + 1,
      collatz(3334, [3334, 1667, 5002, 2501, 7504, 3752, 1876, 938, 469, 1408, 704, 352, 176, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1111 > 1, builtin, [], []).
step(1 is 1111 mod 2, builtin, [], []).
step(3333 is 3 * 1111, builtin, [], []).
step(3334 is 3333 + 1, builtin, [], []).
step(collatz(3334, [3334, 1667, 5002, 2501, 7504, 3752, 1876, 938, 469, 1408, 704, 352, 176, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 3334,
      'J' = [1667, 5002, 2501, 7504, 3752, 1876, 938, 469, 1408, 704, 352, 176, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1667],
     [3334 > 1,
      0 is 3334 mod 2,
      1667 is 3334 // 2,
      collatz(1667, [1667, 5002, 2501, 7504, 3752, 1876, 938, 469, 1408, 704, 352, 176, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(3334 > 1, builtin, [], []).
step(0 is 3334 mod 2, builtin, [], []).
step(1667 is 3334 // 2, builtin, [], []).
step(collatz(1667, [1667, 5002, 2501, 7504, 3752, 1876, 938, 469, 1408, 704, 352, 176, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 1667,
      'J' = [5002, 2501, 7504, 3752, 1876, 938, 469, 1408, 704, 352, 176, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 5001,
      'N1' = 5002],
     [1667 > 1,
      1 is 1667 mod 2,
      5001 is 3 * 1667,
      5002 is 5001 + 1,
      collatz(5002, [5002, 2501, 7504, 3752, 1876, 938, 469, 1408, 704, 352, 176, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1667 > 1, builtin, [], []).
step(1 is 1667 mod 2, builtin, [], []).
step(5001 is 3 * 1667, builtin, [], []).
step(5002 is 5001 + 1, builtin, [], []).
step(collatz(5002, [5002, 2501, 7504, 3752, 1876, 938, 469, 1408, 704, 352, 176, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 5002,
      'J' = [2501, 7504, 3752, 1876, 938, 469, 1408, 704, 352, 176, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 2501],
     [5002 > 1,
      0 is 5002 mod 2,
      2501 is 5002 // 2,
      collatz(2501, [2501, 7504, 3752, 1876, 938, 469, 1408, 704, 352, 176, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(5002 > 1, builtin, [], []).
step(0 is 5002 mod 2, builtin, [], []).
step(2501 is 5002 // 2, builtin, [], []).
step(collatz(2501, [2501, 7504, 3752, 1876, 938, 469, 1408, 704, 352, 176, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 2501,
      'J' = [7504, 3752, 1876, 938, 469, 1408, 704, 352, 176, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 7503,
      'N1' = 7504],
     [2501 > 1,
      1 is 2501 mod 2,
      7503 is 3 * 2501,
      7504 is 7503 + 1,
      collatz(7504, [7504, 3752, 1876, 938, 469, 1408, 704, 352, 176, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2501 > 1, builtin, [], []).
step(1 is 2501 mod 2, builtin, [], []).
step(7503 is 3 * 2501, builtin, [], []).
step(7504 is 7503 + 1, builtin, [], []).
step(collatz(7504, [7504, 3752, 1876, 938, 469, 1408, 704, 352, 176, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 7504,
      'J' = [3752, 1876, 938, 469, 1408, 704, 352, 176, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 3752],
     [7504 > 1,
      0 is 7504 mod 2,
      3752 is 7504 // 2,
      collatz(3752, [3752, 1876, 938, 469, 1408, 704, 352, 176, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(7504 > 1, builtin, [], []).
step(0 is 7504 mod 2, builtin, [], []).
step(3752 is 7504 // 2, builtin, [], []).
step(collatz(3752, [3752, 1876, 938, 469, 1408, 704, 352, 176, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 3752,
      'J' = [1876, 938, 469, 1408, 704, 352, 176, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1876],
     [3752 > 1,
      0 is 3752 mod 2,
      1876 is 3752 // 2,
      collatz(1876, [1876, 938, 469, 1408, 704, 352, 176, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(3752 > 1, builtin, [], []).
step(0 is 3752 mod 2, builtin, [], []).
step(1876 is 3752 // 2, builtin, [], []).
step(collatz(1876, [1876, 938, 469, 1408, 704, 352, 176, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1876,
      'J' = [938, 469, 1408, 704, 352, 176, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 938],
     [1876 > 1,
      0 is 1876 mod 2,
      938 is 1876 // 2,
      collatz(938, [938, 469, 1408, 704, 352, 176, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1876 > 1, builtin, [], []).
step(0 is 1876 mod 2, builtin, [], []).
step(938 is 1876 // 2, builtin, [], []).
step(collatz(938, [938, 469, 1408, 704, 352, 176, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 938,
      'J' = [469, 1408, 704, 352, 176, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 469],
     [938 > 1,
      0 is 938 mod 2,
      469 is 938 // 2,
      collatz(469, [469, 1408, 704, 352, 176, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(938 > 1, builtin, [], []).
step(0 is 938 mod 2, builtin, [], []).
step(469 is 938 // 2, builtin, [], []).
step(collatz(469, [469, 1408, 704, 352, 176, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 469,
      'J' = [1408, 704, 352, 176, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 1407,
      'N1' = 1408],
     [469 > 1,
      1 is 469 mod 2,
      1407 is 3 * 469,
      1408 is 1407 + 1,
      collatz(1408, [1408, 704, 352, 176, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(469 > 1, builtin, [], []).
step(1 is 469 mod 2, builtin, [], []).
step(1407 is 3 * 469, builtin, [], []).
step(1408 is 1407 + 1, builtin, [], []).
step(collatz(1408, [1408, 704, 352, 176, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1408,
      'J' = [704, 352, 176, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 704],
     [1408 > 1,
      0 is 1408 mod 2,
      704 is 1408 // 2,
      collatz(704, [704, 352, 176, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1408 > 1, builtin, [], []).
step(0 is 1408 mod 2, builtin, [], []).
step(704 is 1408 // 2, builtin, [], []).
step(collatz(704, [704, 352, 176, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 704,
      'J' = [352, 176, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 352],
     [704 > 1,
      0 is 704 mod 2,
      352 is 704 // 2,
      collatz(352, [352, 176, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(704 > 1, builtin, [], []).
step(0 is 704 mod 2, builtin, [], []).
step(352 is 704 // 2, builtin, [], []).
step(collatz(352, [352, 176, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 352,
      'J' = [176, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 176],
     [352 > 1,
      0 is 352 mod 2,
      176 is 352 // 2,
      collatz(176, [176, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(352 > 1, builtin, [], []).
step(0 is 352 mod 2, builtin, [], []).
step(176 is 352 // 2, builtin, [], []).
step(collatz(176, [176, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 176,
      'J' = [88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 88],
     [176 > 1,
      0 is 176 mod 2,
      88 is 176 // 2,
      collatz(88, [88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(176 > 1, builtin, [], []).
step(0 is 176 mod 2, builtin, [], []).
step(88 is 176 // 2, builtin, [], []).
step(collatzTrajectory(986, [986, 493, 1480, 740, 370, 185, 556, 278, 139, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 986,
      'M' = [986, 493, 1480, 740, 370, 185, 556, 278, 139, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 14],
     [repeat(1000, 14),
      986 is 1000 - 14,
      collatz(986, [986, 493, 1480, 740, 370, 185, 556, 278, 139, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 14),
     rule(3),
     ['N' = 1000, 'I' = 14, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 14)]).
step(between(0, 999, 14), builtin, [], []).
step(986 is 1000 - 14, builtin, [], []).
step(collatz(986, [986, 493, 1480, 740, 370, 185, 556, 278, 139, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 986,
      'J' = [493, 1480, 740, 370, 185, 556, 278, 139, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 493],
     [986 > 1,
      0 is 986 mod 2,
      493 is 986 // 2,
      collatz(493, [493, 1480, 740, 370, 185, 556, 278, 139, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(986 > 1, builtin, [], []).
step(0 is 986 mod 2, builtin, [], []).
step(493 is 986 // 2, builtin, [], []).
step(collatz(493, [493, 1480, 740, 370, 185, 556, 278, 139, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 493,
      'J' = [1480, 740, 370, 185, 556, 278, 139, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 1479,
      'N1' = 1480],
     [493 > 1,
      1 is 493 mod 2,
      1479 is 3 * 493,
      1480 is 1479 + 1,
      collatz(1480, [1480, 740, 370, 185, 556, 278, 139, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(493 > 1, builtin, [], []).
step(1 is 493 mod 2, builtin, [], []).
step(1479 is 3 * 493, builtin, [], []).
step(1480 is 1479 + 1, builtin, [], []).
step(collatz(1480, [1480, 740, 370, 185, 556, 278, 139, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1480,
      'J' = [740, 370, 185, 556, 278, 139, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 740],
     [1480 > 1,
      0 is 1480 mod 2,
      740 is 1480 // 2,
      collatz(740, [740, 370, 185, 556, 278, 139, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1480 > 1, builtin, [], []).
step(0 is 1480 mod 2, builtin, [], []).
step(740 is 1480 // 2, builtin, [], []).
step(collatz(740, [740, 370, 185, 556, 278, 139, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 740,
      'J' = [370, 185, 556, 278, 139, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 370],
     [740 > 1,
      0 is 740 mod 2,
      370 is 740 // 2,
      collatz(370, [370, 185, 556, 278, 139, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(740 > 1, builtin, [], []).
step(0 is 740 mod 2, builtin, [], []).
step(370 is 740 // 2, builtin, [], []).
step(collatz(370, [370, 185, 556, 278, 139, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 370,
      'J' = [185, 556, 278, 139, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 185],
     [370 > 1,
      0 is 370 mod 2,
      185 is 370 // 2,
      collatz(185, [185, 556, 278, 139, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(370 > 1, builtin, [], []).
step(0 is 370 mod 2, builtin, [], []).
step(185 is 370 // 2, builtin, [], []).
step(collatz(185, [185, 556, 278, 139, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 185,
      'J' = [556, 278, 139, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 555,
      'N1' = 556],
     [185 > 1,
      1 is 185 mod 2,
      555 is 3 * 185,
      556 is 555 + 1,
      collatz(556, [556, 278, 139, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(185 > 1, builtin, [], []).
step(1 is 185 mod 2, builtin, [], []).
step(555 is 3 * 185, builtin, [], []).
step(556 is 555 + 1, builtin, [], []).
step(collatz(556, [556, 278, 139, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 556,
      'J' = [278, 139, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 278],
     [556 > 1,
      0 is 556 mod 2,
      278 is 556 // 2,
      collatz(278, [278, 139, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(556 > 1, builtin, [], []).
step(0 is 556 mod 2, builtin, [], []).
step(278 is 556 // 2, builtin, [], []).
step(collatz(278, [278, 139, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 278,
      'J' = [139, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 139],
     [278 > 1,
      0 is 278 mod 2,
      139 is 278 // 2,
      collatz(139, [139, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(278 > 1, builtin, [], []).
step(0 is 278 mod 2, builtin, [], []).
step(139 is 278 // 2, builtin, [], []).
step(collatz(139, [139, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 139,
      'J' = [418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 417,
      'N1' = 418],
     [139 > 1,
      1 is 139 mod 2,
      417 is 3 * 139,
      418 is 417 + 1,
      collatz(418, [418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(139 > 1, builtin, [], []).
step(1 is 139 mod 2, builtin, [], []).
step(417 is 3 * 139, builtin, [], []).
step(418 is 417 + 1, builtin, [], []).
step(collatzTrajectory(985, [985, 2956, 1478, 739, 2218, 1109, 3328, 1664, 832, 416, 208, 104, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 985,
      'M' = [985, 2956, 1478, 739, 2218, 1109, 3328, 1664, 832, 416, 208, 104, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 15],
     [repeat(1000, 15),
      985 is 1000 - 15,
      collatz(985, [985, 2956, 1478, 739, 2218, 1109, 3328, 1664, 832, 416, 208, 104, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 15),
     rule(3),
     ['N' = 1000, 'I' = 15, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 15)]).
step(between(0, 999, 15), builtin, [], []).
step(985 is 1000 - 15, builtin, [], []).
step(collatz(985, [985, 2956, 1478, 739, 2218, 1109, 3328, 1664, 832, 416, 208, 104, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 985,
      'J' = [2956, 1478, 739, 2218, 1109, 3328, 1664, 832, 416, 208, 104, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 2955,
      'N1' = 2956],
     [985 > 1,
      1 is 985 mod 2,
      2955 is 3 * 985,
      2956 is 2955 + 1,
      collatz(2956, [2956, 1478, 739, 2218, 1109, 3328, 1664, 832, 416, 208, 104, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(985 > 1, builtin, [], []).
step(1 is 985 mod 2, builtin, [], []).
step(2955 is 3 * 985, builtin, [], []).
step(2956 is 2955 + 1, builtin, [], []).
step(collatz(2956, [2956, 1478, 739, 2218, 1109, 3328, 1664, 832, 416, 208, 104, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 2956,
      'J' = [1478, 739, 2218, 1109, 3328, 1664, 832, 416, 208, 104, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1478],
     [2956 > 1,
      0 is 2956 mod 2,
      1478 is 2956 // 2,
      collatz(1478, [1478, 739, 2218, 1109, 3328, 1664, 832, 416, 208, 104, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2956 > 1, builtin, [], []).
step(0 is 2956 mod 2, builtin, [], []).
step(1478 is 2956 // 2, builtin, [], []).
step(collatz(1478, [1478, 739, 2218, 1109, 3328, 1664, 832, 416, 208, 104, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1478,
      'J' = [739, 2218, 1109, 3328, 1664, 832, 416, 208, 104, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 739],
     [1478 > 1,
      0 is 1478 mod 2,
      739 is 1478 // 2,
      collatz(739, [739, 2218, 1109, 3328, 1664, 832, 416, 208, 104, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1478 > 1, builtin, [], []).
step(0 is 1478 mod 2, builtin, [], []).
step(739 is 1478 // 2, builtin, [], []).
step(collatz(739, [739, 2218, 1109, 3328, 1664, 832, 416, 208, 104, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 739,
      'J' = [2218, 1109, 3328, 1664, 832, 416, 208, 104, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 2217,
      'N1' = 2218],
     [739 > 1,
      1 is 739 mod 2,
      2217 is 3 * 739,
      2218 is 2217 + 1,
      collatz(2218, [2218, 1109, 3328, 1664, 832, 416, 208, 104, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(739 > 1, builtin, [], []).
step(1 is 739 mod 2, builtin, [], []).
step(2217 is 3 * 739, builtin, [], []).
step(2218 is 2217 + 1, builtin, [], []).
step(collatz(2218, [2218, 1109, 3328, 1664, 832, 416, 208, 104, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 2218,
      'J' = [1109, 3328, 1664, 832, 416, 208, 104, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1109],
     [2218 > 1,
      0 is 2218 mod 2,
      1109 is 2218 // 2,
      collatz(1109, [1109, 3328, 1664, 832, 416, 208, 104, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2218 > 1, builtin, [], []).
step(0 is 2218 mod 2, builtin, [], []).
step(1109 is 2218 // 2, builtin, [], []).
step(collatz(1109, [1109, 3328, 1664, 832, 416, 208, 104, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 1109,
      'J' = [3328, 1664, 832, 416, 208, 104, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 3327,
      'N1' = 3328],
     [1109 > 1,
      1 is 1109 mod 2,
      3327 is 3 * 1109,
      3328 is 3327 + 1,
      collatz(3328, [3328, 1664, 832, 416, 208, 104, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1109 > 1, builtin, [], []).
step(1 is 1109 mod 2, builtin, [], []).
step(3327 is 3 * 1109, builtin, [], []).
step(3328 is 3327 + 1, builtin, [], []).
step(collatz(3328, [3328, 1664, 832, 416, 208, 104, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 3328,
      'J' = [1664, 832, 416, 208, 104, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1664],
     [3328 > 1,
      0 is 3328 mod 2,
      1664 is 3328 // 2,
      collatz(1664, [1664, 832, 416, 208, 104, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(3328 > 1, builtin, [], []).
step(0 is 3328 mod 2, builtin, [], []).
step(1664 is 3328 // 2, builtin, [], []).
step(collatz(1664, [1664, 832, 416, 208, 104, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1664,
      'J' = [832, 416, 208, 104, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 832],
     [1664 > 1,
      0 is 1664 mod 2,
      832 is 1664 // 2,
      collatz(832, [832, 416, 208, 104, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1664 > 1, builtin, [], []).
step(0 is 1664 mod 2, builtin, [], []).
step(832 is 1664 // 2, builtin, [], []).
step(collatz(832, [832, 416, 208, 104, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 832, 'J' = [416, 208, 104, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1], 'N1' = 416],
     [832 > 1,
      0 is 832 mod 2,
      416 is 832 // 2,
      collatz(416, [416, 208, 104, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(832 > 1, builtin, [], []).
step(0 is 832 mod 2, builtin, [], []).
step(416 is 832 // 2, builtin, [], []).
step(collatz(416, [416, 208, 104, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 416, 'J' = [208, 104, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1], 'N1' = 208],
     [416 > 1,
      0 is 416 mod 2,
      208 is 416 // 2,
      collatz(208, [208, 104, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(416 > 1, builtin, [], []).
step(0 is 416 mod 2, builtin, [], []).
step(208 is 416 // 2, builtin, [], []).
step(collatz(208, [208, 104, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 208, 'J' = [104, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1], 'N1' = 104],
     [208 > 1,
      0 is 208 mod 2,
      104 is 208 // 2,
      collatz(104, [104, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(208 > 1, builtin, [], []).
step(0 is 208 mod 2, builtin, [], []).
step(104 is 208 // 2, builtin, [], []).
step(collatz(104, [104, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 104, 'J' = [52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1], 'N1' = 52],
     [104 > 1,
      0 is 104 mod 2,
      52 is 104 // 2,
      collatz(52, [52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(104 > 1, builtin, [], []).
step(0 is 104 mod 2, builtin, [], []).
step(52 is 104 // 2, builtin, [], []).
step(collatzTrajectory(984, [984, 492, 246, 123, 370, 185, 556, 278, 139, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 984,
      'M' = [984, 492, 246, 123, 370, 185, 556, 278, 139, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 16],
     [repeat(1000, 16),
      984 is 1000 - 16,
      collatz(984, [984, 492, 246, 123, 370, 185, 556, 278, 139, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 16),
     rule(3),
     ['N' = 1000, 'I' = 16, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 16)]).
step(between(0, 999, 16), builtin, [], []).
step(984 is 1000 - 16, builtin, [], []).
step(collatz(984, [984, 492, 246, 123, 370, 185, 556, 278, 139, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 984,
      'J' = [492, 246, 123, 370, 185, 556, 278, 139, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 492],
     [984 > 1,
      0 is 984 mod 2,
      492 is 984 // 2,
      collatz(492, [492, 246, 123, 370, 185, 556, 278, 139, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(984 > 1, builtin, [], []).
step(0 is 984 mod 2, builtin, [], []).
step(492 is 984 // 2, builtin, [], []).
step(collatz(492, [492, 246, 123, 370, 185, 556, 278, 139, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 492,
      'J' = [246, 123, 370, 185, 556, 278, 139, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 246],
     [492 > 1,
      0 is 492 mod 2,
      246 is 492 // 2,
      collatz(246, [246, 123, 370, 185, 556, 278, 139, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(492 > 1, builtin, [], []).
step(0 is 492 mod 2, builtin, [], []).
step(246 is 492 // 2, builtin, [], []).
step(collatz(246, [246, 123, 370, 185, 556, 278, 139, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 246,
      'J' = [123, 370, 185, 556, 278, 139, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 123],
     [246 > 1,
      0 is 246 mod 2,
      123 is 246 // 2,
      collatz(123, [123, 370, 185, 556, 278, 139, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(246 > 1, builtin, [], []).
step(0 is 246 mod 2, builtin, [], []).
step(123 is 246 // 2, builtin, [], []).
step(collatz(123, [123, 370, 185, 556, 278, 139, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 123,
      'J' = [370, 185, 556, 278, 139, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 369,
      'N1' = 370],
     [123 > 1,
      1 is 123 mod 2,
      369 is 3 * 123,
      370 is 369 + 1,
      collatz(370, [370, 185, 556, 278, 139, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(123 > 1, builtin, [], []).
step(1 is 123 mod 2, builtin, [], []).
step(369 is 3 * 123, builtin, [], []).
step(370 is 369 + 1, builtin, [], []).
step(collatzTrajectory(983, [983, 2950, 1475, 4426, 2213, 6640, 3320, 1660, 830, 415, 1246, 623, 1870, 935, 2806, 1403, 4210, 2105, 6316, 3158, 1579, 4738, 2369, 7108, 3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 983,
      'M' = [983, 2950, 1475, 4426, 2213, 6640, 3320, 1660, 830, 415, 1246, 623, 1870, 935, 2806, 1403, 4210, 2105, 6316, 3158, 1579, 4738, 2369, 7108, 3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 17],
     [repeat(1000, 17),
      983 is 1000 - 17,
      collatz(983, [983, 2950, 1475, 4426, 2213, 6640, 3320, 1660, 830, 415, 1246, 623, 1870, 935, 2806, 1403, 4210, 2105, 6316, 3158, 1579, 4738, 2369, 7108, 3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 17),
     rule(3),
     ['N' = 1000, 'I' = 17, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 17)]).
step(between(0, 999, 17), builtin, [], []).
step(983 is 1000 - 17, builtin, [], []).
step(collatz(983, [983, 2950, 1475, 4426, 2213, 6640, 3320, 1660, 830, 415, 1246, 623, 1870, 935, 2806, 1403, 4210, 2105, 6316, 3158, 1579, 4738, 2369, 7108, 3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 983,
      'J' = [2950, 1475, 4426, 2213, 6640, 3320, 1660, 830, 415, 1246, 623, 1870, 935, 2806, 1403, 4210, 2105, 6316, 3158, 1579, 4738, 2369, 7108, 3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 2949,
      'N1' = 2950],
     [983 > 1,
      1 is 983 mod 2,
      2949 is 3 * 983,
      2950 is 2949 + 1,
      collatz(2950, [2950, 1475, 4426, 2213, 6640, 3320, 1660, 830, 415, 1246, 623, 1870, 935, 2806, 1403, 4210, 2105, 6316, 3158, 1579, 4738, 2369, 7108, 3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(983 > 1, builtin, [], []).
step(1 is 983 mod 2, builtin, [], []).
step(2949 is 3 * 983, builtin, [], []).
step(2950 is 2949 + 1, builtin, [], []).
step(collatz(2950, [2950, 1475, 4426, 2213, 6640, 3320, 1660, 830, 415, 1246, 623, 1870, 935, 2806, 1403, 4210, 2105, 6316, 3158, 1579, 4738, 2369, 7108, 3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 2950,
      'J' = [1475, 4426, 2213, 6640, 3320, 1660, 830, 415, 1246, 623, 1870, 935, 2806, 1403, 4210, 2105, 6316, 3158, 1579, 4738, 2369, 7108, 3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1475],
     [2950 > 1,
      0 is 2950 mod 2,
      1475 is 2950 // 2,
      collatz(1475, [1475, 4426, 2213, 6640, 3320, 1660, 830, 415, 1246, 623, 1870, 935, 2806, 1403, 4210, 2105, 6316, 3158, 1579, 4738, 2369, 7108, 3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2950 > 1, builtin, [], []).
step(0 is 2950 mod 2, builtin, [], []).
step(1475 is 2950 // 2, builtin, [], []).
step(collatz(1475, [1475, 4426, 2213, 6640, 3320, 1660, 830, 415, 1246, 623, 1870, 935, 2806, 1403, 4210, 2105, 6316, 3158, 1579, 4738, 2369, 7108, 3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 1475,
      'J' = [4426, 2213, 6640, 3320, 1660, 830, 415, 1246, 623, 1870, 935, 2806, 1403, 4210, 2105, 6316, 3158, 1579, 4738, 2369, 7108, 3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 4425,
      'N1' = 4426],
     [1475 > 1,
      1 is 1475 mod 2,
      4425 is 3 * 1475,
      4426 is 4425 + 1,
      collatz(4426, [4426, 2213, 6640, 3320, 1660, 830, 415, 1246, 623, 1870, 935, 2806, 1403, 4210, 2105, 6316, 3158, 1579, 4738, 2369, 7108, 3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1475 > 1, builtin, [], []).
step(1 is 1475 mod 2, builtin, [], []).
step(4425 is 3 * 1475, builtin, [], []).
step(4426 is 4425 + 1, builtin, [], []).
step(collatz(4426, [4426, 2213, 6640, 3320, 1660, 830, 415, 1246, 623, 1870, 935, 2806, 1403, 4210, 2105, 6316, 3158, 1579, 4738, 2369, 7108, 3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 4426,
      'J' = [2213, 6640, 3320, 1660, 830, 415, 1246, 623, 1870, 935, 2806, 1403, 4210, 2105, 6316, 3158, 1579, 4738, 2369, 7108, 3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 2213],
     [4426 > 1,
      0 is 4426 mod 2,
      2213 is 4426 // 2,
      collatz(2213, [2213, 6640, 3320, 1660, 830, 415, 1246, 623, 1870, 935, 2806, 1403, 4210, 2105, 6316, 3158, 1579, 4738, 2369, 7108, 3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(4426 > 1, builtin, [], []).
step(0 is 4426 mod 2, builtin, [], []).
step(2213 is 4426 // 2, builtin, [], []).
step(collatz(2213, [2213, 6640, 3320, 1660, 830, 415, 1246, 623, 1870, 935, 2806, 1403, 4210, 2105, 6316, 3158, 1579, 4738, 2369, 7108, 3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 2213,
      'J' = [6640, 3320, 1660, 830, 415, 1246, 623, 1870, 935, 2806, 1403, 4210, 2105, 6316, 3158, 1579, 4738, 2369, 7108, 3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 6639,
      'N1' = 6640],
     [2213 > 1,
      1 is 2213 mod 2,
      6639 is 3 * 2213,
      6640 is 6639 + 1,
      collatz(6640, [6640, 3320, 1660, 830, 415, 1246, 623, 1870, 935, 2806, 1403, 4210, 2105, 6316, 3158, 1579, 4738, 2369, 7108, 3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2213 > 1, builtin, [], []).
step(1 is 2213 mod 2, builtin, [], []).
step(6639 is 3 * 2213, builtin, [], []).
step(6640 is 6639 + 1, builtin, [], []).
step(collatz(6640, [6640, 3320, 1660, 830, 415, 1246, 623, 1870, 935, 2806, 1403, 4210, 2105, 6316, 3158, 1579, 4738, 2369, 7108, 3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 6640,
      'J' = [3320, 1660, 830, 415, 1246, 623, 1870, 935, 2806, 1403, 4210, 2105, 6316, 3158, 1579, 4738, 2369, 7108, 3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 3320],
     [6640 > 1,
      0 is 6640 mod 2,
      3320 is 6640 // 2,
      collatz(3320, [3320, 1660, 830, 415, 1246, 623, 1870, 935, 2806, 1403, 4210, 2105, 6316, 3158, 1579, 4738, 2369, 7108, 3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(6640 > 1, builtin, [], []).
step(0 is 6640 mod 2, builtin, [], []).
step(3320 is 6640 // 2, builtin, [], []).
step(collatz(3320, [3320, 1660, 830, 415, 1246, 623, 1870, 935, 2806, 1403, 4210, 2105, 6316, 3158, 1579, 4738, 2369, 7108, 3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 3320,
      'J' = [1660, 830, 415, 1246, 623, 1870, 935, 2806, 1403, 4210, 2105, 6316, 3158, 1579, 4738, 2369, 7108, 3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1660],
     [3320 > 1,
      0 is 3320 mod 2,
      1660 is 3320 // 2,
      collatz(1660, [1660, 830, 415, 1246, 623, 1870, 935, 2806, 1403, 4210, 2105, 6316, 3158, 1579, 4738, 2369, 7108, 3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(3320 > 1, builtin, [], []).
step(0 is 3320 mod 2, builtin, [], []).
step(1660 is 3320 // 2, builtin, [], []).
step(collatz(1660, [1660, 830, 415, 1246, 623, 1870, 935, 2806, 1403, 4210, 2105, 6316, 3158, 1579, 4738, 2369, 7108, 3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1660,
      'J' = [830, 415, 1246, 623, 1870, 935, 2806, 1403, 4210, 2105, 6316, 3158, 1579, 4738, 2369, 7108, 3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 830],
     [1660 > 1,
      0 is 1660 mod 2,
      830 is 1660 // 2,
      collatz(830, [830, 415, 1246, 623, 1870, 935, 2806, 1403, 4210, 2105, 6316, 3158, 1579, 4738, 2369, 7108, 3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1660 > 1, builtin, [], []).
step(0 is 1660 mod 2, builtin, [], []).
step(830 is 1660 // 2, builtin, [], []).
step(collatz(830, [830, 415, 1246, 623, 1870, 935, 2806, 1403, 4210, 2105, 6316, 3158, 1579, 4738, 2369, 7108, 3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 830,
      'J' = [415, 1246, 623, 1870, 935, 2806, 1403, 4210, 2105, 6316, 3158, 1579, 4738, 2369, 7108, 3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 415],
     [830 > 1,
      0 is 830 mod 2,
      415 is 830 // 2,
      collatz(415, [415, 1246, 623, 1870, 935, 2806, 1403, 4210, 2105, 6316, 3158, 1579, 4738, 2369, 7108, 3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(830 > 1, builtin, [], []).
step(0 is 830 mod 2, builtin, [], []).
step(415 is 830 // 2, builtin, [], []).
step(collatz(415, [415, 1246, 623, 1870, 935, 2806, 1403, 4210, 2105, 6316, 3158, 1579, 4738, 2369, 7108, 3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 415,
      'J' = [1246, 623, 1870, 935, 2806, 1403, 4210, 2105, 6316, 3158, 1579, 4738, 2369, 7108, 3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 1245,
      'N1' = 1246],
     [415 > 1,
      1 is 415 mod 2,
      1245 is 3 * 415,
      1246 is 1245 + 1,
      collatz(1246, [1246, 623, 1870, 935, 2806, 1403, 4210, 2105, 6316, 3158, 1579, 4738, 2369, 7108, 3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(415 > 1, builtin, [], []).
step(1 is 415 mod 2, builtin, [], []).
step(1245 is 3 * 415, builtin, [], []).
step(1246 is 1245 + 1, builtin, [], []).
step(collatz(1246, [1246, 623, 1870, 935, 2806, 1403, 4210, 2105, 6316, 3158, 1579, 4738, 2369, 7108, 3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1246,
      'J' = [623, 1870, 935, 2806, 1403, 4210, 2105, 6316, 3158, 1579, 4738, 2369, 7108, 3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 623],
     [1246 > 1,
      0 is 1246 mod 2,
      623 is 1246 // 2,
      collatz(623, [623, 1870, 935, 2806, 1403, 4210, 2105, 6316, 3158, 1579, 4738, 2369, 7108, 3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1246 > 1, builtin, [], []).
step(0 is 1246 mod 2, builtin, [], []).
step(623 is 1246 // 2, builtin, [], []).
step(collatz(623, [623, 1870, 935, 2806, 1403, 4210, 2105, 6316, 3158, 1579, 4738, 2369, 7108, 3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 623,
      'J' = [1870, 935, 2806, 1403, 4210, 2105, 6316, 3158, 1579, 4738, 2369, 7108, 3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 1869,
      'N1' = 1870],
     [623 > 1,
      1 is 623 mod 2,
      1869 is 3 * 623,
      1870 is 1869 + 1,
      collatz(1870, [1870, 935, 2806, 1403, 4210, 2105, 6316, 3158, 1579, 4738, 2369, 7108, 3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(623 > 1, builtin, [], []).
step(1 is 623 mod 2, builtin, [], []).
step(1869 is 3 * 623, builtin, [], []).
step(1870 is 1869 + 1, builtin, [], []).
step(collatz(1870, [1870, 935, 2806, 1403, 4210, 2105, 6316, 3158, 1579, 4738, 2369, 7108, 3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1870,
      'J' = [935, 2806, 1403, 4210, 2105, 6316, 3158, 1579, 4738, 2369, 7108, 3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 935],
     [1870 > 1,
      0 is 1870 mod 2,
      935 is 1870 // 2,
      collatz(935, [935, 2806, 1403, 4210, 2105, 6316, 3158, 1579, 4738, 2369, 7108, 3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1870 > 1, builtin, [], []).
step(0 is 1870 mod 2, builtin, [], []).
step(935 is 1870 // 2, builtin, [], []).
step(collatz(935, [935, 2806, 1403, 4210, 2105, 6316, 3158, 1579, 4738, 2369, 7108, 3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 935,
      'J' = [2806, 1403, 4210, 2105, 6316, 3158, 1579, 4738, 2369, 7108, 3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 2805,
      'N1' = 2806],
     [935 > 1,
      1 is 935 mod 2,
      2805 is 3 * 935,
      2806 is 2805 + 1,
      collatz(2806, [2806, 1403, 4210, 2105, 6316, 3158, 1579, 4738, 2369, 7108, 3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(935 > 1, builtin, [], []).
step(1 is 935 mod 2, builtin, [], []).
step(2805 is 3 * 935, builtin, [], []).
step(2806 is 2805 + 1, builtin, [], []).
step(collatz(2806, [2806, 1403, 4210, 2105, 6316, 3158, 1579, 4738, 2369, 7108, 3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 2806,
      'J' = [1403, 4210, 2105, 6316, 3158, 1579, 4738, 2369, 7108, 3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1403],
     [2806 > 1,
      0 is 2806 mod 2,
      1403 is 2806 // 2,
      collatz(1403, [1403, 4210, 2105, 6316, 3158, 1579, 4738, 2369, 7108, 3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2806 > 1, builtin, [], []).
step(0 is 2806 mod 2, builtin, [], []).
step(1403 is 2806 // 2, builtin, [], []).
step(collatz(1403, [1403, 4210, 2105, 6316, 3158, 1579, 4738, 2369, 7108, 3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 1403,
      'J' = [4210, 2105, 6316, 3158, 1579, 4738, 2369, 7108, 3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 4209,
      'N1' = 4210],
     [1403 > 1,
      1 is 1403 mod 2,
      4209 is 3 * 1403,
      4210 is 4209 + 1,
      collatz(4210, [4210, 2105, 6316, 3158, 1579, 4738, 2369, 7108, 3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1403 > 1, builtin, [], []).
step(1 is 1403 mod 2, builtin, [], []).
step(4209 is 3 * 1403, builtin, [], []).
step(4210 is 4209 + 1, builtin, [], []).
step(collatz(4210, [4210, 2105, 6316, 3158, 1579, 4738, 2369, 7108, 3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 4210,
      'J' = [2105, 6316, 3158, 1579, 4738, 2369, 7108, 3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 2105],
     [4210 > 1,
      0 is 4210 mod 2,
      2105 is 4210 // 2,
      collatz(2105, [2105, 6316, 3158, 1579, 4738, 2369, 7108, 3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(4210 > 1, builtin, [], []).
step(0 is 4210 mod 2, builtin, [], []).
step(2105 is 4210 // 2, builtin, [], []).
step(collatz(2105, [2105, 6316, 3158, 1579, 4738, 2369, 7108, 3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 2105,
      'J' = [6316, 3158, 1579, 4738, 2369, 7108, 3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 6315,
      'N1' = 6316],
     [2105 > 1,
      1 is 2105 mod 2,
      6315 is 3 * 2105,
      6316 is 6315 + 1,
      collatz(6316, [6316, 3158, 1579, 4738, 2369, 7108, 3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2105 > 1, builtin, [], []).
step(1 is 2105 mod 2, builtin, [], []).
step(6315 is 3 * 2105, builtin, [], []).
step(6316 is 6315 + 1, builtin, [], []).
step(collatz(6316, [6316, 3158, 1579, 4738, 2369, 7108, 3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 6316,
      'J' = [3158, 1579, 4738, 2369, 7108, 3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 3158],
     [6316 > 1,
      0 is 6316 mod 2,
      3158 is 6316 // 2,
      collatz(3158, [3158, 1579, 4738, 2369, 7108, 3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(6316 > 1, builtin, [], []).
step(0 is 6316 mod 2, builtin, [], []).
step(3158 is 6316 // 2, builtin, [], []).
step(collatz(3158, [3158, 1579, 4738, 2369, 7108, 3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 3158,
      'J' = [1579, 4738, 2369, 7108, 3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1579],
     [3158 > 1,
      0 is 3158 mod 2,
      1579 is 3158 // 2,
      collatz(1579, [1579, 4738, 2369, 7108, 3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(3158 > 1, builtin, [], []).
step(0 is 3158 mod 2, builtin, [], []).
step(1579 is 3158 // 2, builtin, [], []).
step(collatz(1579, [1579, 4738, 2369, 7108, 3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 1579,
      'J' = [4738, 2369, 7108, 3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 4737,
      'N1' = 4738],
     [1579 > 1,
      1 is 1579 mod 2,
      4737 is 3 * 1579,
      4738 is 4737 + 1,
      collatz(4738, [4738, 2369, 7108, 3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1579 > 1, builtin, [], []).
step(1 is 1579 mod 2, builtin, [], []).
step(4737 is 3 * 1579, builtin, [], []).
step(4738 is 4737 + 1, builtin, [], []).
step(collatz(4738, [4738, 2369, 7108, 3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 4738,
      'J' = [2369, 7108, 3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 2369],
     [4738 > 1,
      0 is 4738 mod 2,
      2369 is 4738 // 2,
      collatz(2369, [2369, 7108, 3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(4738 > 1, builtin, [], []).
step(0 is 4738 mod 2, builtin, [], []).
step(2369 is 4738 // 2, builtin, [], []).
step(collatz(2369, [2369, 7108, 3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 2369,
      'J' = [7108, 3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 7107,
      'N1' = 7108],
     [2369 > 1,
      1 is 2369 mod 2,
      7107 is 3 * 2369,
      7108 is 7107 + 1,
      collatz(7108, [7108, 3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2369 > 1, builtin, [], []).
step(1 is 2369 mod 2, builtin, [], []).
step(7107 is 3 * 2369, builtin, [], []).
step(7108 is 7107 + 1, builtin, [], []).
step(collatz(7108, [7108, 3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 7108,
      'J' = [3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 3554],
     [7108 > 1,
      0 is 7108 mod 2,
      3554 is 7108 // 2,
      collatz(3554, [3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(7108 > 1, builtin, [], []).
step(0 is 7108 mod 2, builtin, [], []).
step(3554 is 7108 // 2, builtin, [], []).
step(collatz(3554, [3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 3554,
      'J' = [1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1777],
     [3554 > 1,
      0 is 3554 mod 2,
      1777 is 3554 // 2,
      collatz(1777, [1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(3554 > 1, builtin, [], []).
step(0 is 3554 mod 2, builtin, [], []).
step(1777 is 3554 // 2, builtin, [], []).
step(collatz(1777, [1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 1777,
      'J' = [5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 5331,
      'N1' = 5332],
     [1777 > 1,
      1 is 1777 mod 2,
      5331 is 3 * 1777,
      5332 is 5331 + 1,
      collatz(5332, [5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1777 > 1, builtin, [], []).
step(1 is 1777 mod 2, builtin, [], []).
step(5331 is 3 * 1777, builtin, [], []).
step(5332 is 5331 + 1, builtin, [], []).
step(collatz(5332, [5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 5332,
      'J' = [2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 2666],
     [5332 > 1,
      0 is 5332 mod 2,
      2666 is 5332 // 2,
      collatz(2666, [2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(5332 > 1, builtin, [], []).
step(0 is 5332 mod 2, builtin, [], []).
step(2666 is 5332 // 2, builtin, [], []).
step(collatz(2666, [2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 2666,
      'J' = [1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1333],
     [2666 > 1,
      0 is 2666 mod 2,
      1333 is 2666 // 2,
      collatz(1333, [1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2666 > 1, builtin, [], []).
step(0 is 2666 mod 2, builtin, [], []).
step(1333 is 2666 // 2, builtin, [], []).
step(collatz(1333, [1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 1333,
      'J' = [4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 3999,
      'N1' = 4000],
     [1333 > 1,
      1 is 1333 mod 2,
      3999 is 3 * 1333,
      4000 is 3999 + 1,
      collatz(4000, [4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1333 > 1, builtin, [], []).
step(1 is 1333 mod 2, builtin, [], []).
step(3999 is 3 * 1333, builtin, [], []).
step(4000 is 3999 + 1, builtin, [], []).
step(collatz(4000, [4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 4000,
      'J' = [2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 2000],
     [4000 > 1,
      0 is 4000 mod 2,
      2000 is 4000 // 2,
      collatz(2000, [2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(4000 > 1, builtin, [], []).
step(0 is 4000 mod 2, builtin, [], []).
step(2000 is 4000 // 2, builtin, [], []).
step(collatz(2000, [2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 2000,
      'J' = [1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1000],
     [2000 > 1,
      0 is 2000 mod 2,
      1000 is 2000 // 2,
      collatz(1000, [1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2000 > 1, builtin, [], []).
step(0 is 2000 mod 2, builtin, [], []).
step(1000 is 2000 // 2, builtin, [], []).
step(collatzTrajectory(982, [982, 491, 1474, 737, 2212, 1106, 553, 1660, 830, 415, 1246, 623, 1870, 935, 2806, 1403, 4210, 2105, 6316, 3158, 1579, 4738, 2369, 7108, 3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 982,
      'M' = [982, 491, 1474, 737, 2212, 1106, 553, 1660, 830, 415, 1246, 623, 1870, 935, 2806, 1403, 4210, 2105, 6316, 3158, 1579, 4738, 2369, 7108, 3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 18],
     [repeat(1000, 18),
      982 is 1000 - 18,
      collatz(982, [982, 491, 1474, 737, 2212, 1106, 553, 1660, 830, 415, 1246, 623, 1870, 935, 2806, 1403, 4210, 2105, 6316, 3158, 1579, 4738, 2369, 7108, 3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 18),
     rule(3),
     ['N' = 1000, 'I' = 18, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 18)]).
step(between(0, 999, 18), builtin, [], []).
step(982 is 1000 - 18, builtin, [], []).
step(collatz(982, [982, 491, 1474, 737, 2212, 1106, 553, 1660, 830, 415, 1246, 623, 1870, 935, 2806, 1403, 4210, 2105, 6316, 3158, 1579, 4738, 2369, 7108, 3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 982,
      'J' = [491, 1474, 737, 2212, 1106, 553, 1660, 830, 415, 1246, 623, 1870, 935, 2806, 1403, 4210, 2105, 6316, 3158, 1579, 4738, 2369, 7108, 3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 491],
     [982 > 1,
      0 is 982 mod 2,
      491 is 982 // 2,
      collatz(491, [491, 1474, 737, 2212, 1106, 553, 1660, 830, 415, 1246, 623, 1870, 935, 2806, 1403, 4210, 2105, 6316, 3158, 1579, 4738, 2369, 7108, 3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(982 > 1, builtin, [], []).
step(0 is 982 mod 2, builtin, [], []).
step(491 is 982 // 2, builtin, [], []).
step(collatz(491, [491, 1474, 737, 2212, 1106, 553, 1660, 830, 415, 1246, 623, 1870, 935, 2806, 1403, 4210, 2105, 6316, 3158, 1579, 4738, 2369, 7108, 3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 491,
      'J' = [1474, 737, 2212, 1106, 553, 1660, 830, 415, 1246, 623, 1870, 935, 2806, 1403, 4210, 2105, 6316, 3158, 1579, 4738, 2369, 7108, 3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 1473,
      'N1' = 1474],
     [491 > 1,
      1 is 491 mod 2,
      1473 is 3 * 491,
      1474 is 1473 + 1,
      collatz(1474, [1474, 737, 2212, 1106, 553, 1660, 830, 415, 1246, 623, 1870, 935, 2806, 1403, 4210, 2105, 6316, 3158, 1579, 4738, 2369, 7108, 3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(491 > 1, builtin, [], []).
step(1 is 491 mod 2, builtin, [], []).
step(1473 is 3 * 491, builtin, [], []).
step(1474 is 1473 + 1, builtin, [], []).
step(collatz(1474, [1474, 737, 2212, 1106, 553, 1660, 830, 415, 1246, 623, 1870, 935, 2806, 1403, 4210, 2105, 6316, 3158, 1579, 4738, 2369, 7108, 3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1474,
      'J' = [737, 2212, 1106, 553, 1660, 830, 415, 1246, 623, 1870, 935, 2806, 1403, 4210, 2105, 6316, 3158, 1579, 4738, 2369, 7108, 3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 737],
     [1474 > 1,
      0 is 1474 mod 2,
      737 is 1474 // 2,
      collatz(737, [737, 2212, 1106, 553, 1660, 830, 415, 1246, 623, 1870, 935, 2806, 1403, 4210, 2105, 6316, 3158, 1579, 4738, 2369, 7108, 3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1474 > 1, builtin, [], []).
step(0 is 1474 mod 2, builtin, [], []).
step(737 is 1474 // 2, builtin, [], []).
step(collatz(737, [737, 2212, 1106, 553, 1660, 830, 415, 1246, 623, 1870, 935, 2806, 1403, 4210, 2105, 6316, 3158, 1579, 4738, 2369, 7108, 3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 737,
      'J' = [2212, 1106, 553, 1660, 830, 415, 1246, 623, 1870, 935, 2806, 1403, 4210, 2105, 6316, 3158, 1579, 4738, 2369, 7108, 3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 2211,
      'N1' = 2212],
     [737 > 1,
      1 is 737 mod 2,
      2211 is 3 * 737,
      2212 is 2211 + 1,
      collatz(2212, [2212, 1106, 553, 1660, 830, 415, 1246, 623, 1870, 935, 2806, 1403, 4210, 2105, 6316, 3158, 1579, 4738, 2369, 7108, 3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(737 > 1, builtin, [], []).
step(1 is 737 mod 2, builtin, [], []).
step(2211 is 3 * 737, builtin, [], []).
step(2212 is 2211 + 1, builtin, [], []).
step(collatz(2212, [2212, 1106, 553, 1660, 830, 415, 1246, 623, 1870, 935, 2806, 1403, 4210, 2105, 6316, 3158, 1579, 4738, 2369, 7108, 3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 2212,
      'J' = [1106, 553, 1660, 830, 415, 1246, 623, 1870, 935, 2806, 1403, 4210, 2105, 6316, 3158, 1579, 4738, 2369, 7108, 3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1106],
     [2212 > 1,
      0 is 2212 mod 2,
      1106 is 2212 // 2,
      collatz(1106, [1106, 553, 1660, 830, 415, 1246, 623, 1870, 935, 2806, 1403, 4210, 2105, 6316, 3158, 1579, 4738, 2369, 7108, 3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2212 > 1, builtin, [], []).
step(0 is 2212 mod 2, builtin, [], []).
step(1106 is 2212 // 2, builtin, [], []).
step(collatz(1106, [1106, 553, 1660, 830, 415, 1246, 623, 1870, 935, 2806, 1403, 4210, 2105, 6316, 3158, 1579, 4738, 2369, 7108, 3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1106,
      'J' = [553, 1660, 830, 415, 1246, 623, 1870, 935, 2806, 1403, 4210, 2105, 6316, 3158, 1579, 4738, 2369, 7108, 3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 553],
     [1106 > 1,
      0 is 1106 mod 2,
      553 is 1106 // 2,
      collatz(553, [553, 1660, 830, 415, 1246, 623, 1870, 935, 2806, 1403, 4210, 2105, 6316, 3158, 1579, 4738, 2369, 7108, 3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1106 > 1, builtin, [], []).
step(0 is 1106 mod 2, builtin, [], []).
step(553 is 1106 // 2, builtin, [], []).
step(collatz(553, [553, 1660, 830, 415, 1246, 623, 1870, 935, 2806, 1403, 4210, 2105, 6316, 3158, 1579, 4738, 2369, 7108, 3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 553,
      'J' = [1660, 830, 415, 1246, 623, 1870, 935, 2806, 1403, 4210, 2105, 6316, 3158, 1579, 4738, 2369, 7108, 3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 1659,
      'N1' = 1660],
     [553 > 1,
      1 is 553 mod 2,
      1659 is 3 * 553,
      1660 is 1659 + 1,
      collatz(1660, [1660, 830, 415, 1246, 623, 1870, 935, 2806, 1403, 4210, 2105, 6316, 3158, 1579, 4738, 2369, 7108, 3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(553 > 1, builtin, [], []).
step(1 is 553 mod 2, builtin, [], []).
step(1659 is 3 * 553, builtin, [], []).
step(1660 is 1659 + 1, builtin, [], []).
step(collatzTrajectory(981, [981, 2944, 1472, 736, 368, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 981,
      'M' = [981, 2944, 1472, 736, 368, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 19],
     [repeat(1000, 19),
      981 is 1000 - 19,
      collatz(981, [981, 2944, 1472, 736, 368, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 19),
     rule(3),
     ['N' = 1000, 'I' = 19, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 19)]).
step(between(0, 999, 19), builtin, [], []).
step(981 is 1000 - 19, builtin, [], []).
step(collatz(981, [981, 2944, 1472, 736, 368, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 981,
      'J' = [2944, 1472, 736, 368, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 2943,
      'N1' = 2944],
     [981 > 1,
      1 is 981 mod 2,
      2943 is 3 * 981,
      2944 is 2943 + 1,
      collatz(2944, [2944, 1472, 736, 368, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(981 > 1, builtin, [], []).
step(1 is 981 mod 2, builtin, [], []).
step(2943 is 3 * 981, builtin, [], []).
step(2944 is 2943 + 1, builtin, [], []).
step(collatz(2944, [2944, 1472, 736, 368, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 2944,
      'J' = [1472, 736, 368, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1472],
     [2944 > 1,
      0 is 2944 mod 2,
      1472 is 2944 // 2,
      collatz(1472, [1472, 736, 368, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2944 > 1, builtin, [], []).
step(0 is 2944 mod 2, builtin, [], []).
step(1472 is 2944 // 2, builtin, [], []).
step(collatz(1472, [1472, 736, 368, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1472,
      'J' = [736, 368, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 736],
     [1472 > 1,
      0 is 1472 mod 2,
      736 is 1472 // 2,
      collatz(736, [736, 368, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1472 > 1, builtin, [], []).
step(0 is 1472 mod 2, builtin, [], []).
step(736 is 1472 // 2, builtin, [], []).
step(collatz(736, [736, 368, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 736,
      'J' = [368, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 368],
     [736 > 1,
      0 is 736 mod 2,
      368 is 736 // 2,
      collatz(368, [368, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(736 > 1, builtin, [], []).
step(0 is 736 mod 2, builtin, [], []).
step(368 is 736 // 2, builtin, [], []).
step(collatz(368, [368, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 368,
      'J' = [184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 184],
     [368 > 1,
      0 is 368 mod 2,
      184 is 368 // 2,
      collatz(184, [184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(368 > 1, builtin, [], []).
step(0 is 368 mod 2, builtin, [], []).
step(184 is 368 // 2, builtin, [], []).
step(collatzTrajectory(980, [980, 490, 245, 736, 368, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 980,
      'M' = [980, 490, 245, 736, 368, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 20],
     [repeat(1000, 20),
      980 is 1000 - 20,
      collatz(980, [980, 490, 245, 736, 368, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 20),
     rule(3),
     ['N' = 1000, 'I' = 20, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 20)]).
step(between(0, 999, 20), builtin, [], []).
step(980 is 1000 - 20, builtin, [], []).
step(collatz(980, [980, 490, 245, 736, 368, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 980,
      'J' = [490, 245, 736, 368, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 490],
     [980 > 1,
      0 is 980 mod 2,
      490 is 980 // 2,
      collatz(490, [490, 245, 736, 368, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(980 > 1, builtin, [], []).
step(0 is 980 mod 2, builtin, [], []).
step(490 is 980 // 2, builtin, [], []).
step(collatz(490, [490, 245, 736, 368, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 490,
      'J' = [245, 736, 368, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 245],
     [490 > 1,
      0 is 490 mod 2,
      245 is 490 // 2,
      collatz(245, [245, 736, 368, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(490 > 1, builtin, [], []).
step(0 is 490 mod 2, builtin, [], []).
step(245 is 490 // 2, builtin, [], []).
step(collatz(245, [245, 736, 368, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 245,
      'J' = [736, 368, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 735,
      'N1' = 736],
     [245 > 1,
      1 is 245 mod 2,
      735 is 3 * 245,
      736 is 735 + 1,
      collatz(736, [736, 368, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(245 > 1, builtin, [], []).
step(1 is 245 mod 2, builtin, [], []).
step(735 is 3 * 245, builtin, [], []).
step(736 is 735 + 1, builtin, [], []).
step(collatzTrajectory(979, [979, 2938, 1469, 4408, 2204, 1102, 551, 1654, 827, 2482, 1241, 3724, 1862, 931, 2794, 1397, 4192, 2096, 1048, 524, 262, 131, 394, 197, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 979,
      'M' = [979, 2938, 1469, 4408, 2204, 1102, 551, 1654, 827, 2482, 1241, 3724, 1862, 931, 2794, 1397, 4192, 2096, 1048, 524, 262, 131, 394, 197, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 21],
     [repeat(1000, 21),
      979 is 1000 - 21,
      collatz(979, [979, 2938, 1469, 4408, 2204, 1102, 551, 1654, 827, 2482, 1241, 3724, 1862, 931, 2794, 1397, 4192, 2096, 1048, 524, 262, 131, 394, 197, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 21),
     rule(3),
     ['N' = 1000, 'I' = 21, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 21)]).
step(between(0, 999, 21), builtin, [], []).
step(979 is 1000 - 21, builtin, [], []).
step(collatz(979, [979, 2938, 1469, 4408, 2204, 1102, 551, 1654, 827, 2482, 1241, 3724, 1862, 931, 2794, 1397, 4192, 2096, 1048, 524, 262, 131, 394, 197, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 979,
      'J' = [2938, 1469, 4408, 2204, 1102, 551, 1654, 827, 2482, 1241, 3724, 1862, 931, 2794, 1397, 4192, 2096, 1048, 524, 262, 131, 394, 197, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 2937,
      'N1' = 2938],
     [979 > 1,
      1 is 979 mod 2,
      2937 is 3 * 979,
      2938 is 2937 + 1,
      collatz(2938, [2938, 1469, 4408, 2204, 1102, 551, 1654, 827, 2482, 1241, 3724, 1862, 931, 2794, 1397, 4192, 2096, 1048, 524, 262, 131, 394, 197, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(979 > 1, builtin, [], []).
step(1 is 979 mod 2, builtin, [], []).
step(2937 is 3 * 979, builtin, [], []).
step(2938 is 2937 + 1, builtin, [], []).
step(collatz(2938, [2938, 1469, 4408, 2204, 1102, 551, 1654, 827, 2482, 1241, 3724, 1862, 931, 2794, 1397, 4192, 2096, 1048, 524, 262, 131, 394, 197, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 2938,
      'J' = [1469, 4408, 2204, 1102, 551, 1654, 827, 2482, 1241, 3724, 1862, 931, 2794, 1397, 4192, 2096, 1048, 524, 262, 131, 394, 197, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1469],
     [2938 > 1,
      0 is 2938 mod 2,
      1469 is 2938 // 2,
      collatz(1469, [1469, 4408, 2204, 1102, 551, 1654, 827, 2482, 1241, 3724, 1862, 931, 2794, 1397, 4192, 2096, 1048, 524, 262, 131, 394, 197, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2938 > 1, builtin, [], []).
step(0 is 2938 mod 2, builtin, [], []).
step(1469 is 2938 // 2, builtin, [], []).
step(collatz(1469, [1469, 4408, 2204, 1102, 551, 1654, 827, 2482, 1241, 3724, 1862, 931, 2794, 1397, 4192, 2096, 1048, 524, 262, 131, 394, 197, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 1469,
      'J' = [4408, 2204, 1102, 551, 1654, 827, 2482, 1241, 3724, 1862, 931, 2794, 1397, 4192, 2096, 1048, 524, 262, 131, 394, 197, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 4407,
      'N1' = 4408],
     [1469 > 1,
      1 is 1469 mod 2,
      4407 is 3 * 1469,
      4408 is 4407 + 1,
      collatz(4408, [4408, 2204, 1102, 551, 1654, 827, 2482, 1241, 3724, 1862, 931, 2794, 1397, 4192, 2096, 1048, 524, 262, 131, 394, 197, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1469 > 1, builtin, [], []).
step(1 is 1469 mod 2, builtin, [], []).
step(4407 is 3 * 1469, builtin, [], []).
step(4408 is 4407 + 1, builtin, [], []).
step(collatz(4408, [4408, 2204, 1102, 551, 1654, 827, 2482, 1241, 3724, 1862, 931, 2794, 1397, 4192, 2096, 1048, 524, 262, 131, 394, 197, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 4408,
      'J' = [2204, 1102, 551, 1654, 827, 2482, 1241, 3724, 1862, 931, 2794, 1397, 4192, 2096, 1048, 524, 262, 131, 394, 197, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 2204],
     [4408 > 1,
      0 is 4408 mod 2,
      2204 is 4408 // 2,
      collatz(2204, [2204, 1102, 551, 1654, 827, 2482, 1241, 3724, 1862, 931, 2794, 1397, 4192, 2096, 1048, 524, 262, 131, 394, 197, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(4408 > 1, builtin, [], []).
step(0 is 4408 mod 2, builtin, [], []).
step(2204 is 4408 // 2, builtin, [], []).
step(collatz(2204, [2204, 1102, 551, 1654, 827, 2482, 1241, 3724, 1862, 931, 2794, 1397, 4192, 2096, 1048, 524, 262, 131, 394, 197, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 2204,
      'J' = [1102, 551, 1654, 827, 2482, 1241, 3724, 1862, 931, 2794, 1397, 4192, 2096, 1048, 524, 262, 131, 394, 197, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1102],
     [2204 > 1,
      0 is 2204 mod 2,
      1102 is 2204 // 2,
      collatz(1102, [1102, 551, 1654, 827, 2482, 1241, 3724, 1862, 931, 2794, 1397, 4192, 2096, 1048, 524, 262, 131, 394, 197, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2204 > 1, builtin, [], []).
step(0 is 2204 mod 2, builtin, [], []).
step(1102 is 2204 // 2, builtin, [], []).
step(collatz(1102, [1102, 551, 1654, 827, 2482, 1241, 3724, 1862, 931, 2794, 1397, 4192, 2096, 1048, 524, 262, 131, 394, 197, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1102,
      'J' = [551, 1654, 827, 2482, 1241, 3724, 1862, 931, 2794, 1397, 4192, 2096, 1048, 524, 262, 131, 394, 197, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 551],
     [1102 > 1,
      0 is 1102 mod 2,
      551 is 1102 // 2,
      collatz(551, [551, 1654, 827, 2482, 1241, 3724, 1862, 931, 2794, 1397, 4192, 2096, 1048, 524, 262, 131, 394, 197, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1102 > 1, builtin, [], []).
step(0 is 1102 mod 2, builtin, [], []).
step(551 is 1102 // 2, builtin, [], []).
step(collatz(551, [551, 1654, 827, 2482, 1241, 3724, 1862, 931, 2794, 1397, 4192, 2096, 1048, 524, 262, 131, 394, 197, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 551,
      'J' = [1654, 827, 2482, 1241, 3724, 1862, 931, 2794, 1397, 4192, 2096, 1048, 524, 262, 131, 394, 197, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 1653,
      'N1' = 1654],
     [551 > 1,
      1 is 551 mod 2,
      1653 is 3 * 551,
      1654 is 1653 + 1,
      collatz(1654, [1654, 827, 2482, 1241, 3724, 1862, 931, 2794, 1397, 4192, 2096, 1048, 524, 262, 131, 394, 197, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(551 > 1, builtin, [], []).
step(1 is 551 mod 2, builtin, [], []).
step(1653 is 3 * 551, builtin, [], []).
step(1654 is 1653 + 1, builtin, [], []).
step(collatz(1654, [1654, 827, 2482, 1241, 3724, 1862, 931, 2794, 1397, 4192, 2096, 1048, 524, 262, 131, 394, 197, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1654,
      'J' = [827, 2482, 1241, 3724, 1862, 931, 2794, 1397, 4192, 2096, 1048, 524, 262, 131, 394, 197, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 827],
     [1654 > 1,
      0 is 1654 mod 2,
      827 is 1654 // 2,
      collatz(827, [827, 2482, 1241, 3724, 1862, 931, 2794, 1397, 4192, 2096, 1048, 524, 262, 131, 394, 197, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1654 > 1, builtin, [], []).
step(0 is 1654 mod 2, builtin, [], []).
step(827 is 1654 // 2, builtin, [], []).
step(collatz(827, [827, 2482, 1241, 3724, 1862, 931, 2794, 1397, 4192, 2096, 1048, 524, 262, 131, 394, 197, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 827,
      'J' = [2482, 1241, 3724, 1862, 931, 2794, 1397, 4192, 2096, 1048, 524, 262, 131, 394, 197, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 2481,
      'N1' = 2482],
     [827 > 1,
      1 is 827 mod 2,
      2481 is 3 * 827,
      2482 is 2481 + 1,
      collatz(2482, [2482, 1241, 3724, 1862, 931, 2794, 1397, 4192, 2096, 1048, 524, 262, 131, 394, 197, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(827 > 1, builtin, [], []).
step(1 is 827 mod 2, builtin, [], []).
step(2481 is 3 * 827, builtin, [], []).
step(2482 is 2481 + 1, builtin, [], []).
step(collatz(2482, [2482, 1241, 3724, 1862, 931, 2794, 1397, 4192, 2096, 1048, 524, 262, 131, 394, 197, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 2482,
      'J' = [1241, 3724, 1862, 931, 2794, 1397, 4192, 2096, 1048, 524, 262, 131, 394, 197, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1241],
     [2482 > 1,
      0 is 2482 mod 2,
      1241 is 2482 // 2,
      collatz(1241, [1241, 3724, 1862, 931, 2794, 1397, 4192, 2096, 1048, 524, 262, 131, 394, 197, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2482 > 1, builtin, [], []).
step(0 is 2482 mod 2, builtin, [], []).
step(1241 is 2482 // 2, builtin, [], []).
step(collatz(1241, [1241, 3724, 1862, 931, 2794, 1397, 4192, 2096, 1048, 524, 262, 131, 394, 197, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 1241,
      'J' = [3724, 1862, 931, 2794, 1397, 4192, 2096, 1048, 524, 262, 131, 394, 197, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 3723,
      'N1' = 3724],
     [1241 > 1,
      1 is 1241 mod 2,
      3723 is 3 * 1241,
      3724 is 3723 + 1,
      collatz(3724, [3724, 1862, 931, 2794, 1397, 4192, 2096, 1048, 524, 262, 131, 394, 197, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1241 > 1, builtin, [], []).
step(1 is 1241 mod 2, builtin, [], []).
step(3723 is 3 * 1241, builtin, [], []).
step(3724 is 3723 + 1, builtin, [], []).
step(collatz(3724, [3724, 1862, 931, 2794, 1397, 4192, 2096, 1048, 524, 262, 131, 394, 197, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 3724,
      'J' = [1862, 931, 2794, 1397, 4192, 2096, 1048, 524, 262, 131, 394, 197, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1862],
     [3724 > 1,
      0 is 3724 mod 2,
      1862 is 3724 // 2,
      collatz(1862, [1862, 931, 2794, 1397, 4192, 2096, 1048, 524, 262, 131, 394, 197, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(3724 > 1, builtin, [], []).
step(0 is 3724 mod 2, builtin, [], []).
step(1862 is 3724 // 2, builtin, [], []).
step(collatz(1862, [1862, 931, 2794, 1397, 4192, 2096, 1048, 524, 262, 131, 394, 197, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1862,
      'J' = [931, 2794, 1397, 4192, 2096, 1048, 524, 262, 131, 394, 197, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 931],
     [1862 > 1,
      0 is 1862 mod 2,
      931 is 1862 // 2,
      collatz(931, [931, 2794, 1397, 4192, 2096, 1048, 524, 262, 131, 394, 197, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1862 > 1, builtin, [], []).
step(0 is 1862 mod 2, builtin, [], []).
step(931 is 1862 // 2, builtin, [], []).
step(collatz(931, [931, 2794, 1397, 4192, 2096, 1048, 524, 262, 131, 394, 197, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 931,
      'J' = [2794, 1397, 4192, 2096, 1048, 524, 262, 131, 394, 197, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 2793,
      'N1' = 2794],
     [931 > 1,
      1 is 931 mod 2,
      2793 is 3 * 931,
      2794 is 2793 + 1,
      collatz(2794, [2794, 1397, 4192, 2096, 1048, 524, 262, 131, 394, 197, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(931 > 1, builtin, [], []).
step(1 is 931 mod 2, builtin, [], []).
step(2793 is 3 * 931, builtin, [], []).
step(2794 is 2793 + 1, builtin, [], []).
step(collatz(2794, [2794, 1397, 4192, 2096, 1048, 524, 262, 131, 394, 197, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 2794,
      'J' = [1397, 4192, 2096, 1048, 524, 262, 131, 394, 197, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1397],
     [2794 > 1,
      0 is 2794 mod 2,
      1397 is 2794 // 2,
      collatz(1397, [1397, 4192, 2096, 1048, 524, 262, 131, 394, 197, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2794 > 1, builtin, [], []).
step(0 is 2794 mod 2, builtin, [], []).
step(1397 is 2794 // 2, builtin, [], []).
step(collatz(1397, [1397, 4192, 2096, 1048, 524, 262, 131, 394, 197, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 1397,
      'J' = [4192, 2096, 1048, 524, 262, 131, 394, 197, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 4191,
      'N1' = 4192],
     [1397 > 1,
      1 is 1397 mod 2,
      4191 is 3 * 1397,
      4192 is 4191 + 1,
      collatz(4192, [4192, 2096, 1048, 524, 262, 131, 394, 197, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1397 > 1, builtin, [], []).
step(1 is 1397 mod 2, builtin, [], []).
step(4191 is 3 * 1397, builtin, [], []).
step(4192 is 4191 + 1, builtin, [], []).
step(collatz(4192, [4192, 2096, 1048, 524, 262, 131, 394, 197, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 4192,
      'J' = [2096, 1048, 524, 262, 131, 394, 197, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 2096],
     [4192 > 1,
      0 is 4192 mod 2,
      2096 is 4192 // 2,
      collatz(2096, [2096, 1048, 524, 262, 131, 394, 197, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(4192 > 1, builtin, [], []).
step(0 is 4192 mod 2, builtin, [], []).
step(2096 is 4192 // 2, builtin, [], []).
step(collatz(2096, [2096, 1048, 524, 262, 131, 394, 197, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 2096,
      'J' = [1048, 524, 262, 131, 394, 197, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1048],
     [2096 > 1,
      0 is 2096 mod 2,
      1048 is 2096 // 2,
      collatz(1048, [1048, 524, 262, 131, 394, 197, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2096 > 1, builtin, [], []).
step(0 is 2096 mod 2, builtin, [], []).
step(1048 is 2096 // 2, builtin, [], []).
step(collatz(1048, [1048, 524, 262, 131, 394, 197, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1048,
      'J' = [524, 262, 131, 394, 197, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 524],
     [1048 > 1,
      0 is 1048 mod 2,
      524 is 1048 // 2,
      collatz(524, [524, 262, 131, 394, 197, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1048 > 1, builtin, [], []).
step(0 is 1048 mod 2, builtin, [], []).
step(524 is 1048 // 2, builtin, [], []).
step(collatz(524, [524, 262, 131, 394, 197, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 524,
      'J' = [262, 131, 394, 197, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 262],
     [524 > 1,
      0 is 524 mod 2,
      262 is 524 // 2,
      collatz(262, [262, 131, 394, 197, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(524 > 1, builtin, [], []).
step(0 is 524 mod 2, builtin, [], []).
step(262 is 524 // 2, builtin, [], []).
step(collatz(262, [262, 131, 394, 197, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 262,
      'J' = [131, 394, 197, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 131],
     [262 > 1,
      0 is 262 mod 2,
      131 is 262 // 2,
      collatz(131, [131, 394, 197, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(262 > 1, builtin, [], []).
step(0 is 262 mod 2, builtin, [], []).
step(131 is 262 // 2, builtin, [], []).
step(collatz(131, [131, 394, 197, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 131,
      'J' = [394, 197, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 393,
      'N1' = 394],
     [131 > 1,
      1 is 131 mod 2,
      393 is 3 * 131,
      394 is 393 + 1,
      collatz(394, [394, 197, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(131 > 1, builtin, [], []).
step(1 is 131 mod 2, builtin, [], []).
step(393 is 3 * 131, builtin, [], []).
step(394 is 393 + 1, builtin, [], []).
step(collatz(394, [394, 197, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 394,
      'J' = [197, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 197],
     [394 > 1,
      0 is 394 mod 2,
      197 is 394 // 2,
      collatz(197, [197, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(394 > 1, builtin, [], []).
step(0 is 394 mod 2, builtin, [], []).
step(197 is 394 // 2, builtin, [], []).
step(collatz(197, [197, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 197,
      'J' = [592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 591,
      'N1' = 592],
     [197 > 1,
      1 is 197 mod 2,
      591 is 3 * 197,
      592 is 591 + 1,
      collatz(592, [592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(197 > 1, builtin, [], []).
step(1 is 197 mod 2, builtin, [], []).
step(591 is 3 * 197, builtin, [], []).
step(592 is 591 + 1, builtin, [], []).
step(collatz(592, [592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 592,
      'J' = [296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 296],
     [592 > 1,
      0 is 592 mod 2,
      296 is 592 // 2,
      collatz(296, [296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(592 > 1, builtin, [], []).
step(0 is 592 mod 2, builtin, [], []).
step(296 is 592 // 2, builtin, [], []).
step(collatz(296, [296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 296,
      'J' = [148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 148],
     [296 > 1,
      0 is 296 mod 2,
      148 is 296 // 2,
      collatz(148, [148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(296 > 1, builtin, [], []).
step(0 is 296 mod 2, builtin, [], []).
step(148 is 296 // 2, builtin, [], []).
step(collatzTrajectory(978, [978, 489, 1468, 734, 367, 1102, 551, 1654, 827, 2482, 1241, 3724, 1862, 931, 2794, 1397, 4192, 2096, 1048, 524, 262, 131, 394, 197, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 978,
      'M' = [978, 489, 1468, 734, 367, 1102, 551, 1654, 827, 2482, 1241, 3724, 1862, 931, 2794, 1397, 4192, 2096, 1048, 524, 262, 131, 394, 197, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 22],
     [repeat(1000, 22),
      978 is 1000 - 22,
      collatz(978, [978, 489, 1468, 734, 367, 1102, 551, 1654, 827, 2482, 1241, 3724, 1862, 931, 2794, 1397, 4192, 2096, 1048, 524, 262, 131, 394, 197, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 22),
     rule(3),
     ['N' = 1000, 'I' = 22, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 22)]).
step(between(0, 999, 22), builtin, [], []).
step(978 is 1000 - 22, builtin, [], []).
step(collatz(978, [978, 489, 1468, 734, 367, 1102, 551, 1654, 827, 2482, 1241, 3724, 1862, 931, 2794, 1397, 4192, 2096, 1048, 524, 262, 131, 394, 197, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 978,
      'J' = [489, 1468, 734, 367, 1102, 551, 1654, 827, 2482, 1241, 3724, 1862, 931, 2794, 1397, 4192, 2096, 1048, 524, 262, 131, 394, 197, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 489],
     [978 > 1,
      0 is 978 mod 2,
      489 is 978 // 2,
      collatz(489, [489, 1468, 734, 367, 1102, 551, 1654, 827, 2482, 1241, 3724, 1862, 931, 2794, 1397, 4192, 2096, 1048, 524, 262, 131, 394, 197, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(978 > 1, builtin, [], []).
step(0 is 978 mod 2, builtin, [], []).
step(489 is 978 // 2, builtin, [], []).
step(collatz(489, [489, 1468, 734, 367, 1102, 551, 1654, 827, 2482, 1241, 3724, 1862, 931, 2794, 1397, 4192, 2096, 1048, 524, 262, 131, 394, 197, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 489,
      'J' = [1468, 734, 367, 1102, 551, 1654, 827, 2482, 1241, 3724, 1862, 931, 2794, 1397, 4192, 2096, 1048, 524, 262, 131, 394, 197, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 1467,
      'N1' = 1468],
     [489 > 1,
      1 is 489 mod 2,
      1467 is 3 * 489,
      1468 is 1467 + 1,
      collatz(1468, [1468, 734, 367, 1102, 551, 1654, 827, 2482, 1241, 3724, 1862, 931, 2794, 1397, 4192, 2096, 1048, 524, 262, 131, 394, 197, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(489 > 1, builtin, [], []).
step(1 is 489 mod 2, builtin, [], []).
step(1467 is 3 * 489, builtin, [], []).
step(1468 is 1467 + 1, builtin, [], []).
step(collatz(1468, [1468, 734, 367, 1102, 551, 1654, 827, 2482, 1241, 3724, 1862, 931, 2794, 1397, 4192, 2096, 1048, 524, 262, 131, 394, 197, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1468,
      'J' = [734, 367, 1102, 551, 1654, 827, 2482, 1241, 3724, 1862, 931, 2794, 1397, 4192, 2096, 1048, 524, 262, 131, 394, 197, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 734],
     [1468 > 1,
      0 is 1468 mod 2,
      734 is 1468 // 2,
      collatz(734, [734, 367, 1102, 551, 1654, 827, 2482, 1241, 3724, 1862, 931, 2794, 1397, 4192, 2096, 1048, 524, 262, 131, 394, 197, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1468 > 1, builtin, [], []).
step(0 is 1468 mod 2, builtin, [], []).
step(734 is 1468 // 2, builtin, [], []).
step(collatz(734, [734, 367, 1102, 551, 1654, 827, 2482, 1241, 3724, 1862, 931, 2794, 1397, 4192, 2096, 1048, 524, 262, 131, 394, 197, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 734,
      'J' = [367, 1102, 551, 1654, 827, 2482, 1241, 3724, 1862, 931, 2794, 1397, 4192, 2096, 1048, 524, 262, 131, 394, 197, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 367],
     [734 > 1,
      0 is 734 mod 2,
      367 is 734 // 2,
      collatz(367, [367, 1102, 551, 1654, 827, 2482, 1241, 3724, 1862, 931, 2794, 1397, 4192, 2096, 1048, 524, 262, 131, 394, 197, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(734 > 1, builtin, [], []).
step(0 is 734 mod 2, builtin, [], []).
step(367 is 734 // 2, builtin, [], []).
step(collatz(367, [367, 1102, 551, 1654, 827, 2482, 1241, 3724, 1862, 931, 2794, 1397, 4192, 2096, 1048, 524, 262, 131, 394, 197, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 367,
      'J' = [1102, 551, 1654, 827, 2482, 1241, 3724, 1862, 931, 2794, 1397, 4192, 2096, 1048, 524, 262, 131, 394, 197, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 1101,
      'N1' = 1102],
     [367 > 1,
      1 is 367 mod 2,
      1101 is 3 * 367,
      1102 is 1101 + 1,
      collatz(1102, [1102, 551, 1654, 827, 2482, 1241, 3724, 1862, 931, 2794, 1397, 4192, 2096, 1048, 524, 262, 131, 394, 197, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(367 > 1, builtin, [], []).
step(1 is 367 mod 2, builtin, [], []).
step(1101 is 3 * 367, builtin, [], []).
step(1102 is 1101 + 1, builtin, [], []).
step(collatzTrajectory(977, [977, 2932, 1466, 733, 2200, 1100, 550, 275, 826, 413, 1240, 620, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 977,
      'M' = [977, 2932, 1466, 733, 2200, 1100, 550, 275, 826, 413, 1240, 620, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 23],
     [repeat(1000, 23),
      977 is 1000 - 23,
      collatz(977, [977, 2932, 1466, 733, 2200, 1100, 550, 275, 826, 413, 1240, 620, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 23),
     rule(3),
     ['N' = 1000, 'I' = 23, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 23)]).
step(between(0, 999, 23), builtin, [], []).
step(977 is 1000 - 23, builtin, [], []).
step(collatz(977, [977, 2932, 1466, 733, 2200, 1100, 550, 275, 826, 413, 1240, 620, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 977,
      'J' = [2932, 1466, 733, 2200, 1100, 550, 275, 826, 413, 1240, 620, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 2931,
      'N1' = 2932],
     [977 > 1,
      1 is 977 mod 2,
      2931 is 3 * 977,
      2932 is 2931 + 1,
      collatz(2932, [2932, 1466, 733, 2200, 1100, 550, 275, 826, 413, 1240, 620, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(977 > 1, builtin, [], []).
step(1 is 977 mod 2, builtin, [], []).
step(2931 is 3 * 977, builtin, [], []).
step(2932 is 2931 + 1, builtin, [], []).
step(collatz(2932, [2932, 1466, 733, 2200, 1100, 550, 275, 826, 413, 1240, 620, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 2932,
      'J' = [1466, 733, 2200, 1100, 550, 275, 826, 413, 1240, 620, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1466],
     [2932 > 1,
      0 is 2932 mod 2,
      1466 is 2932 // 2,
      collatz(1466, [1466, 733, 2200, 1100, 550, 275, 826, 413, 1240, 620, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2932 > 1, builtin, [], []).
step(0 is 2932 mod 2, builtin, [], []).
step(1466 is 2932 // 2, builtin, [], []).
step(collatz(1466, [1466, 733, 2200, 1100, 550, 275, 826, 413, 1240, 620, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1466,
      'J' = [733, 2200, 1100, 550, 275, 826, 413, 1240, 620, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 733],
     [1466 > 1,
      0 is 1466 mod 2,
      733 is 1466 // 2,
      collatz(733, [733, 2200, 1100, 550, 275, 826, 413, 1240, 620, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1466 > 1, builtin, [], []).
step(0 is 1466 mod 2, builtin, [], []).
step(733 is 1466 // 2, builtin, [], []).
step(collatz(733, [733, 2200, 1100, 550, 275, 826, 413, 1240, 620, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 733,
      'J' = [2200, 1100, 550, 275, 826, 413, 1240, 620, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 2199,
      'N1' = 2200],
     [733 > 1,
      1 is 733 mod 2,
      2199 is 3 * 733,
      2200 is 2199 + 1,
      collatz(2200, [2200, 1100, 550, 275, 826, 413, 1240, 620, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(733 > 1, builtin, [], []).
step(1 is 733 mod 2, builtin, [], []).
step(2199 is 3 * 733, builtin, [], []).
step(2200 is 2199 + 1, builtin, [], []).
step(collatz(2200, [2200, 1100, 550, 275, 826, 413, 1240, 620, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 2200,
      'J' = [1100, 550, 275, 826, 413, 1240, 620, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1100],
     [2200 > 1,
      0 is 2200 mod 2,
      1100 is 2200 // 2,
      collatz(1100, [1100, 550, 275, 826, 413, 1240, 620, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2200 > 1, builtin, [], []).
step(0 is 2200 mod 2, builtin, [], []).
step(1100 is 2200 // 2, builtin, [], []).
step(collatz(1100, [1100, 550, 275, 826, 413, 1240, 620, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1100,
      'J' = [550, 275, 826, 413, 1240, 620, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 550],
     [1100 > 1,
      0 is 1100 mod 2,
      550 is 1100 // 2,
      collatz(550, [550, 275, 826, 413, 1240, 620, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1100 > 1, builtin, [], []).
step(0 is 1100 mod 2, builtin, [], []).
step(550 is 1100 // 2, builtin, [], []).
step(collatz(550, [550, 275, 826, 413, 1240, 620, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 550,
      'J' = [275, 826, 413, 1240, 620, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 275],
     [550 > 1,
      0 is 550 mod 2,
      275 is 550 // 2,
      collatz(275, [275, 826, 413, 1240, 620, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(550 > 1, builtin, [], []).
step(0 is 550 mod 2, builtin, [], []).
step(275 is 550 // 2, builtin, [], []).
step(collatz(275, [275, 826, 413, 1240, 620, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 275,
      'J' = [826, 413, 1240, 620, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 825,
      'N1' = 826],
     [275 > 1,
      1 is 275 mod 2,
      825 is 3 * 275,
      826 is 825 + 1,
      collatz(826, [826, 413, 1240, 620, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(275 > 1, builtin, [], []).
step(1 is 275 mod 2, builtin, [], []).
step(825 is 3 * 275, builtin, [], []).
step(826 is 825 + 1, builtin, [], []).
step(collatz(826, [826, 413, 1240, 620, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 826,
      'J' = [413, 1240, 620, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 413],
     [826 > 1,
      0 is 826 mod 2,
      413 is 826 // 2,
      collatz(413, [413, 1240, 620, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(826 > 1, builtin, [], []).
step(0 is 826 mod 2, builtin, [], []).
step(413 is 826 // 2, builtin, [], []).
step(collatz(413, [413, 1240, 620, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 413,
      'J' = [1240, 620, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 1239,
      'N1' = 1240],
     [413 > 1,
      1 is 413 mod 2,
      1239 is 3 * 413,
      1240 is 1239 + 1,
      collatz(1240, [1240, 620, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(413 > 1, builtin, [], []).
step(1 is 413 mod 2, builtin, [], []).
step(1239 is 3 * 413, builtin, [], []).
step(1240 is 1239 + 1, builtin, [], []).
step(collatz(1240, [1240, 620, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1240,
      'J' = [620, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 620],
     [1240 > 1,
      0 is 1240 mod 2,
      620 is 1240 // 2,
      collatz(620, [620, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1240 > 1, builtin, [], []).
step(0 is 1240 mod 2, builtin, [], []).
step(620 is 1240 // 2, builtin, [], []).
step(collatz(620, [620, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 620,
      'J' = [310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 310],
     [620 > 1,
      0 is 620 mod 2,
      310 is 620 // 2,
      collatz(310, [310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(620 > 1, builtin, [], []).
step(0 is 620 mod 2, builtin, [], []).
step(310 is 620 // 2, builtin, [], []).
step(collatzTrajectory(976, [976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 976,
      'M' = [976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 24],
     [repeat(1000, 24),
      976 is 1000 - 24,
      collatz(976, [976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 24),
     rule(3),
     ['N' = 1000, 'I' = 24, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 24)]).
step(between(0, 999, 24), builtin, [], []).
step(976 is 1000 - 24, builtin, [], []).
step(collatzTrajectory(975, [975, 2926, 1463, 4390, 2195, 6586, 3293, 9880, 4940, 2470, 1235, 3706, 1853, 5560, 2780, 1390, 695, 2086, 1043, 3130, 1565, 4696, 2348, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 975,
      'M' = [975, 2926, 1463, 4390, 2195, 6586, 3293, 9880, 4940, 2470, 1235, 3706, 1853, 5560, 2780, 1390, 695, 2086, 1043, 3130, 1565, 4696, 2348, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 25],
     [repeat(1000, 25),
      975 is 1000 - 25,
      collatz(975, [975, 2926, 1463, 4390, 2195, 6586, 3293, 9880, 4940, 2470, 1235, 3706, 1853, 5560, 2780, 1390, 695, 2086, 1043, 3130, 1565, 4696, 2348, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 25),
     rule(3),
     ['N' = 1000, 'I' = 25, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 25)]).
step(between(0, 999, 25), builtin, [], []).
step(975 is 1000 - 25, builtin, [], []).
step(collatz(975, [975, 2926, 1463, 4390, 2195, 6586, 3293, 9880, 4940, 2470, 1235, 3706, 1853, 5560, 2780, 1390, 695, 2086, 1043, 3130, 1565, 4696, 2348, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 975,
      'J' = [2926, 1463, 4390, 2195, 6586, 3293, 9880, 4940, 2470, 1235, 3706, 1853, 5560, 2780, 1390, 695, 2086, 1043, 3130, 1565, 4696, 2348, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 2925,
      'N1' = 2926],
     [975 > 1,
      1 is 975 mod 2,
      2925 is 3 * 975,
      2926 is 2925 + 1,
      collatz(2926, [2926, 1463, 4390, 2195, 6586, 3293, 9880, 4940, 2470, 1235, 3706, 1853, 5560, 2780, 1390, 695, 2086, 1043, 3130, 1565, 4696, 2348, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(975 > 1, builtin, [], []).
step(1 is 975 mod 2, builtin, [], []).
step(2925 is 3 * 975, builtin, [], []).
step(2926 is 2925 + 1, builtin, [], []).
step(collatz(2926, [2926, 1463, 4390, 2195, 6586, 3293, 9880, 4940, 2470, 1235, 3706, 1853, 5560, 2780, 1390, 695, 2086, 1043, 3130, 1565, 4696, 2348, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 2926,
      'J' = [1463, 4390, 2195, 6586, 3293, 9880, 4940, 2470, 1235, 3706, 1853, 5560, 2780, 1390, 695, 2086, 1043, 3130, 1565, 4696, 2348, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1463],
     [2926 > 1,
      0 is 2926 mod 2,
      1463 is 2926 // 2,
      collatz(1463, [1463, 4390, 2195, 6586, 3293, 9880, 4940, 2470, 1235, 3706, 1853, 5560, 2780, 1390, 695, 2086, 1043, 3130, 1565, 4696, 2348, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2926 > 1, builtin, [], []).
step(0 is 2926 mod 2, builtin, [], []).
step(1463 is 2926 // 2, builtin, [], []).
step(collatz(1463, [1463, 4390, 2195, 6586, 3293, 9880, 4940, 2470, 1235, 3706, 1853, 5560, 2780, 1390, 695, 2086, 1043, 3130, 1565, 4696, 2348, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 1463,
      'J' = [4390, 2195, 6586, 3293, 9880, 4940, 2470, 1235, 3706, 1853, 5560, 2780, 1390, 695, 2086, 1043, 3130, 1565, 4696, 2348, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 4389,
      'N1' = 4390],
     [1463 > 1,
      1 is 1463 mod 2,
      4389 is 3 * 1463,
      4390 is 4389 + 1,
      collatz(4390, [4390, 2195, 6586, 3293, 9880, 4940, 2470, 1235, 3706, 1853, 5560, 2780, 1390, 695, 2086, 1043, 3130, 1565, 4696, 2348, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1463 > 1, builtin, [], []).
step(1 is 1463 mod 2, builtin, [], []).
step(4389 is 3 * 1463, builtin, [], []).
step(4390 is 4389 + 1, builtin, [], []).
step(collatz(4390, [4390, 2195, 6586, 3293, 9880, 4940, 2470, 1235, 3706, 1853, 5560, 2780, 1390, 695, 2086, 1043, 3130, 1565, 4696, 2348, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 4390,
      'J' = [2195, 6586, 3293, 9880, 4940, 2470, 1235, 3706, 1853, 5560, 2780, 1390, 695, 2086, 1043, 3130, 1565, 4696, 2348, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 2195],
     [4390 > 1,
      0 is 4390 mod 2,
      2195 is 4390 // 2,
      collatz(2195, [2195, 6586, 3293, 9880, 4940, 2470, 1235, 3706, 1853, 5560, 2780, 1390, 695, 2086, 1043, 3130, 1565, 4696, 2348, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(4390 > 1, builtin, [], []).
step(0 is 4390 mod 2, builtin, [], []).
step(2195 is 4390 // 2, builtin, [], []).
step(collatz(2195, [2195, 6586, 3293, 9880, 4940, 2470, 1235, 3706, 1853, 5560, 2780, 1390, 695, 2086, 1043, 3130, 1565, 4696, 2348, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 2195,
      'J' = [6586, 3293, 9880, 4940, 2470, 1235, 3706, 1853, 5560, 2780, 1390, 695, 2086, 1043, 3130, 1565, 4696, 2348, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 6585,
      'N1' = 6586],
     [2195 > 1,
      1 is 2195 mod 2,
      6585 is 3 * 2195,
      6586 is 6585 + 1,
      collatz(6586, [6586, 3293, 9880, 4940, 2470, 1235, 3706, 1853, 5560, 2780, 1390, 695, 2086, 1043, 3130, 1565, 4696, 2348, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2195 > 1, builtin, [], []).
step(1 is 2195 mod 2, builtin, [], []).
step(6585 is 3 * 2195, builtin, [], []).
step(6586 is 6585 + 1, builtin, [], []).
step(collatz(6586, [6586, 3293, 9880, 4940, 2470, 1235, 3706, 1853, 5560, 2780, 1390, 695, 2086, 1043, 3130, 1565, 4696, 2348, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 6586,
      'J' = [3293, 9880, 4940, 2470, 1235, 3706, 1853, 5560, 2780, 1390, 695, 2086, 1043, 3130, 1565, 4696, 2348, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 3293],
     [6586 > 1,
      0 is 6586 mod 2,
      3293 is 6586 // 2,
      collatz(3293, [3293, 9880, 4940, 2470, 1235, 3706, 1853, 5560, 2780, 1390, 695, 2086, 1043, 3130, 1565, 4696, 2348, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(6586 > 1, builtin, [], []).
step(0 is 6586 mod 2, builtin, [], []).
step(3293 is 6586 // 2, builtin, [], []).
step(collatz(3293, [3293, 9880, 4940, 2470, 1235, 3706, 1853, 5560, 2780, 1390, 695, 2086, 1043, 3130, 1565, 4696, 2348, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 3293,
      'J' = [9880, 4940, 2470, 1235, 3706, 1853, 5560, 2780, 1390, 695, 2086, 1043, 3130, 1565, 4696, 2348, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 9879,
      'N1' = 9880],
     [3293 > 1,
      1 is 3293 mod 2,
      9879 is 3 * 3293,
      9880 is 9879 + 1,
      collatz(9880, [9880, 4940, 2470, 1235, 3706, 1853, 5560, 2780, 1390, 695, 2086, 1043, 3130, 1565, 4696, 2348, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(3293 > 1, builtin, [], []).
step(1 is 3293 mod 2, builtin, [], []).
step(9879 is 3 * 3293, builtin, [], []).
step(9880 is 9879 + 1, builtin, [], []).
step(collatz(9880, [9880, 4940, 2470, 1235, 3706, 1853, 5560, 2780, 1390, 695, 2086, 1043, 3130, 1565, 4696, 2348, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 9880,
      'J' = [4940, 2470, 1235, 3706, 1853, 5560, 2780, 1390, 695, 2086, 1043, 3130, 1565, 4696, 2348, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 4940],
     [9880 > 1,
      0 is 9880 mod 2,
      4940 is 9880 // 2,
      collatz(4940, [4940, 2470, 1235, 3706, 1853, 5560, 2780, 1390, 695, 2086, 1043, 3130, 1565, 4696, 2348, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(9880 > 1, builtin, [], []).
step(0 is 9880 mod 2, builtin, [], []).
step(4940 is 9880 // 2, builtin, [], []).
step(collatz(4940, [4940, 2470, 1235, 3706, 1853, 5560, 2780, 1390, 695, 2086, 1043, 3130, 1565, 4696, 2348, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 4940,
      'J' = [2470, 1235, 3706, 1853, 5560, 2780, 1390, 695, 2086, 1043, 3130, 1565, 4696, 2348, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 2470],
     [4940 > 1,
      0 is 4940 mod 2,
      2470 is 4940 // 2,
      collatz(2470, [2470, 1235, 3706, 1853, 5560, 2780, 1390, 695, 2086, 1043, 3130, 1565, 4696, 2348, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(4940 > 1, builtin, [], []).
step(0 is 4940 mod 2, builtin, [], []).
step(2470 is 4940 // 2, builtin, [], []).
step(collatz(2470, [2470, 1235, 3706, 1853, 5560, 2780, 1390, 695, 2086, 1043, 3130, 1565, 4696, 2348, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 2470,
      'J' = [1235, 3706, 1853, 5560, 2780, 1390, 695, 2086, 1043, 3130, 1565, 4696, 2348, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1235],
     [2470 > 1,
      0 is 2470 mod 2,
      1235 is 2470 // 2,
      collatz(1235, [1235, 3706, 1853, 5560, 2780, 1390, 695, 2086, 1043, 3130, 1565, 4696, 2348, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2470 > 1, builtin, [], []).
step(0 is 2470 mod 2, builtin, [], []).
step(1235 is 2470 // 2, builtin, [], []).
step(collatz(1235, [1235, 3706, 1853, 5560, 2780, 1390, 695, 2086, 1043, 3130, 1565, 4696, 2348, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 1235,
      'J' = [3706, 1853, 5560, 2780, 1390, 695, 2086, 1043, 3130, 1565, 4696, 2348, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 3705,
      'N1' = 3706],
     [1235 > 1,
      1 is 1235 mod 2,
      3705 is 3 * 1235,
      3706 is 3705 + 1,
      collatz(3706, [3706, 1853, 5560, 2780, 1390, 695, 2086, 1043, 3130, 1565, 4696, 2348, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1235 > 1, builtin, [], []).
step(1 is 1235 mod 2, builtin, [], []).
step(3705 is 3 * 1235, builtin, [], []).
step(3706 is 3705 + 1, builtin, [], []).
step(collatz(3706, [3706, 1853, 5560, 2780, 1390, 695, 2086, 1043, 3130, 1565, 4696, 2348, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 3706,
      'J' = [1853, 5560, 2780, 1390, 695, 2086, 1043, 3130, 1565, 4696, 2348, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1853],
     [3706 > 1,
      0 is 3706 mod 2,
      1853 is 3706 // 2,
      collatz(1853, [1853, 5560, 2780, 1390, 695, 2086, 1043, 3130, 1565, 4696, 2348, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(3706 > 1, builtin, [], []).
step(0 is 3706 mod 2, builtin, [], []).
step(1853 is 3706 // 2, builtin, [], []).
step(collatz(1853, [1853, 5560, 2780, 1390, 695, 2086, 1043, 3130, 1565, 4696, 2348, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 1853,
      'J' = [5560, 2780, 1390, 695, 2086, 1043, 3130, 1565, 4696, 2348, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 5559,
      'N1' = 5560],
     [1853 > 1,
      1 is 1853 mod 2,
      5559 is 3 * 1853,
      5560 is 5559 + 1,
      collatz(5560, [5560, 2780, 1390, 695, 2086, 1043, 3130, 1565, 4696, 2348, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1853 > 1, builtin, [], []).
step(1 is 1853 mod 2, builtin, [], []).
step(5559 is 3 * 1853, builtin, [], []).
step(5560 is 5559 + 1, builtin, [], []).
step(collatz(5560, [5560, 2780, 1390, 695, 2086, 1043, 3130, 1565, 4696, 2348, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 5560,
      'J' = [2780, 1390, 695, 2086, 1043, 3130, 1565, 4696, 2348, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 2780],
     [5560 > 1,
      0 is 5560 mod 2,
      2780 is 5560 // 2,
      collatz(2780, [2780, 1390, 695, 2086, 1043, 3130, 1565, 4696, 2348, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(5560 > 1, builtin, [], []).
step(0 is 5560 mod 2, builtin, [], []).
step(2780 is 5560 // 2, builtin, [], []).
step(collatz(2780, [2780, 1390, 695, 2086, 1043, 3130, 1565, 4696, 2348, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 2780,
      'J' = [1390, 695, 2086, 1043, 3130, 1565, 4696, 2348, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1390],
     [2780 > 1,
      0 is 2780 mod 2,
      1390 is 2780 // 2,
      collatz(1390, [1390, 695, 2086, 1043, 3130, 1565, 4696, 2348, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2780 > 1, builtin, [], []).
step(0 is 2780 mod 2, builtin, [], []).
step(1390 is 2780 // 2, builtin, [], []).
step(collatz(1390, [1390, 695, 2086, 1043, 3130, 1565, 4696, 2348, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1390,
      'J' = [695, 2086, 1043, 3130, 1565, 4696, 2348, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 695],
     [1390 > 1,
      0 is 1390 mod 2,
      695 is 1390 // 2,
      collatz(695, [695, 2086, 1043, 3130, 1565, 4696, 2348, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1390 > 1, builtin, [], []).
step(0 is 1390 mod 2, builtin, [], []).
step(695 is 1390 // 2, builtin, [], []).
step(collatz(695, [695, 2086, 1043, 3130, 1565, 4696, 2348, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 695,
      'J' = [2086, 1043, 3130, 1565, 4696, 2348, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 2085,
      'N1' = 2086],
     [695 > 1,
      1 is 695 mod 2,
      2085 is 3 * 695,
      2086 is 2085 + 1,
      collatz(2086, [2086, 1043, 3130, 1565, 4696, 2348, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(695 > 1, builtin, [], []).
step(1 is 695 mod 2, builtin, [], []).
step(2085 is 3 * 695, builtin, [], []).
step(2086 is 2085 + 1, builtin, [], []).
step(collatz(2086, [2086, 1043, 3130, 1565, 4696, 2348, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 2086,
      'J' = [1043, 3130, 1565, 4696, 2348, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1043],
     [2086 > 1,
      0 is 2086 mod 2,
      1043 is 2086 // 2,
      collatz(1043, [1043, 3130, 1565, 4696, 2348, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2086 > 1, builtin, [], []).
step(0 is 2086 mod 2, builtin, [], []).
step(1043 is 2086 // 2, builtin, [], []).
step(collatz(1043, [1043, 3130, 1565, 4696, 2348, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 1043,
      'J' = [3130, 1565, 4696, 2348, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 3129,
      'N1' = 3130],
     [1043 > 1,
      1 is 1043 mod 2,
      3129 is 3 * 1043,
      3130 is 3129 + 1,
      collatz(3130, [3130, 1565, 4696, 2348, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1043 > 1, builtin, [], []).
step(1 is 1043 mod 2, builtin, [], []).
step(3129 is 3 * 1043, builtin, [], []).
step(3130 is 3129 + 1, builtin, [], []).
step(collatz(3130, [3130, 1565, 4696, 2348, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 3130,
      'J' = [1565, 4696, 2348, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1565],
     [3130 > 1,
      0 is 3130 mod 2,
      1565 is 3130 // 2,
      collatz(1565, [1565, 4696, 2348, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(3130 > 1, builtin, [], []).
step(0 is 3130 mod 2, builtin, [], []).
step(1565 is 3130 // 2, builtin, [], []).
step(collatz(1565, [1565, 4696, 2348, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 1565,
      'J' = [4696, 2348, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 4695,
      'N1' = 4696],
     [1565 > 1,
      1 is 1565 mod 2,
      4695 is 3 * 1565,
      4696 is 4695 + 1,
      collatz(4696, [4696, 2348, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1565 > 1, builtin, [], []).
step(1 is 1565 mod 2, builtin, [], []).
step(4695 is 3 * 1565, builtin, [], []).
step(4696 is 4695 + 1, builtin, [], []).
step(collatz(4696, [4696, 2348, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 4696,
      'J' = [2348, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 2348],
     [4696 > 1,
      0 is 4696 mod 2,
      2348 is 4696 // 2,
      collatz(2348, [2348, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(4696 > 1, builtin, [], []).
step(0 is 4696 mod 2, builtin, [], []).
step(2348 is 4696 // 2, builtin, [], []).
step(collatz(2348, [2348, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 2348,
      'J' = [1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1174],
     [2348 > 1,
      0 is 2348 mod 2,
      1174 is 2348 // 2,
      collatz(1174, [1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2348 > 1, builtin, [], []).
step(0 is 2348 mod 2, builtin, [], []).
step(1174 is 2348 // 2, builtin, [], []).
step(collatz(1174, [1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1174,
      'J' = [587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 587],
     [1174 > 1,
      0 is 1174 mod 2,
      587 is 1174 // 2,
      collatz(587, [587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1174 > 1, builtin, [], []).
step(0 is 1174 mod 2, builtin, [], []).
step(587 is 1174 // 2, builtin, [], []).
step(collatz(587, [587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 587,
      'J' = [1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 1761,
      'N1' = 1762],
     [587 > 1,
      1 is 587 mod 2,
      1761 is 3 * 587,
      1762 is 1761 + 1,
      collatz(1762, [1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(587 > 1, builtin, [], []).
step(1 is 587 mod 2, builtin, [], []).
step(1761 is 3 * 587, builtin, [], []).
step(1762 is 1761 + 1, builtin, [], []).
step(collatz(1762, [1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1762,
      'J' = [881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 881],
     [1762 > 1,
      0 is 1762 mod 2,
      881 is 1762 // 2,
      collatz(881, [881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1762 > 1, builtin, [], []).
step(0 is 1762 mod 2, builtin, [], []).
step(881 is 1762 // 2, builtin, [], []).
step(collatz(881, [881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 881,
      'J' = [2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 2643,
      'N1' = 2644],
     [881 > 1,
      1 is 881 mod 2,
      2643 is 3 * 881,
      2644 is 2643 + 1,
      collatz(2644, [2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(881 > 1, builtin, [], []).
step(1 is 881 mod 2, builtin, [], []).
step(2643 is 3 * 881, builtin, [], []).
step(2644 is 2643 + 1, builtin, [], []).
step(collatz(2644, [2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 2644,
      'J' = [1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1322],
     [2644 > 1,
      0 is 2644 mod 2,
      1322 is 2644 // 2,
      collatz(1322, [1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2644 > 1, builtin, [], []).
step(0 is 2644 mod 2, builtin, [], []).
step(1322 is 2644 // 2, builtin, [], []).
step(collatz(1322, [1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1322,
      'J' = [661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 661],
     [1322 > 1,
      0 is 1322 mod 2,
      661 is 1322 // 2,
      collatz(661, [661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1322 > 1, builtin, [], []).
step(0 is 1322 mod 2, builtin, [], []).
step(661 is 1322 // 2, builtin, [], []).
step(collatz(661, [661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 661,
      'J' = [1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 1983,
      'N1' = 1984],
     [661 > 1,
      1 is 661 mod 2,
      1983 is 3 * 661,
      1984 is 1983 + 1,
      collatz(1984, [1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(661 > 1, builtin, [], []).
step(1 is 661 mod 2, builtin, [], []).
step(1983 is 3 * 661, builtin, [], []).
step(1984 is 1983 + 1, builtin, [], []).
step(collatz(1984, [1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1984,
      'J' = [992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 992],
     [1984 > 1,
      0 is 1984 mod 2,
      992 is 1984 // 2,
      collatz(992, [992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1984 > 1, builtin, [], []).
step(0 is 1984 mod 2, builtin, [], []).
step(992 is 1984 // 2, builtin, [], []).
step(collatzTrajectory(974, [974, 487, 1462, 731, 2194, 1097, 3292, 1646, 823, 2470, 1235, 3706, 1853, 5560, 2780, 1390, 695, 2086, 1043, 3130, 1565, 4696, 2348, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 974,
      'M' = [974, 487, 1462, 731, 2194, 1097, 3292, 1646, 823, 2470, 1235, 3706, 1853, 5560, 2780, 1390, 695, 2086, 1043, 3130, 1565, 4696, 2348, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 26],
     [repeat(1000, 26),
      974 is 1000 - 26,
      collatz(974, [974, 487, 1462, 731, 2194, 1097, 3292, 1646, 823, 2470, 1235, 3706, 1853, 5560, 2780, 1390, 695, 2086, 1043, 3130, 1565, 4696, 2348, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 26),
     rule(3),
     ['N' = 1000, 'I' = 26, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 26)]).
step(between(0, 999, 26), builtin, [], []).
step(974 is 1000 - 26, builtin, [], []).
step(collatz(974, [974, 487, 1462, 731, 2194, 1097, 3292, 1646, 823, 2470, 1235, 3706, 1853, 5560, 2780, 1390, 695, 2086, 1043, 3130, 1565, 4696, 2348, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 974,
      'J' = [487, 1462, 731, 2194, 1097, 3292, 1646, 823, 2470, 1235, 3706, 1853, 5560, 2780, 1390, 695, 2086, 1043, 3130, 1565, 4696, 2348, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 487],
     [974 > 1,
      0 is 974 mod 2,
      487 is 974 // 2,
      collatz(487, [487, 1462, 731, 2194, 1097, 3292, 1646, 823, 2470, 1235, 3706, 1853, 5560, 2780, 1390, 695, 2086, 1043, 3130, 1565, 4696, 2348, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(974 > 1, builtin, [], []).
step(0 is 974 mod 2, builtin, [], []).
step(487 is 974 // 2, builtin, [], []).
step(collatz(487, [487, 1462, 731, 2194, 1097, 3292, 1646, 823, 2470, 1235, 3706, 1853, 5560, 2780, 1390, 695, 2086, 1043, 3130, 1565, 4696, 2348, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 487,
      'J' = [1462, 731, 2194, 1097, 3292, 1646, 823, 2470, 1235, 3706, 1853, 5560, 2780, 1390, 695, 2086, 1043, 3130, 1565, 4696, 2348, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 1461,
      'N1' = 1462],
     [487 > 1,
      1 is 487 mod 2,
      1461 is 3 * 487,
      1462 is 1461 + 1,
      collatz(1462, [1462, 731, 2194, 1097, 3292, 1646, 823, 2470, 1235, 3706, 1853, 5560, 2780, 1390, 695, 2086, 1043, 3130, 1565, 4696, 2348, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(487 > 1, builtin, [], []).
step(1 is 487 mod 2, builtin, [], []).
step(1461 is 3 * 487, builtin, [], []).
step(1462 is 1461 + 1, builtin, [], []).
step(collatz(1462, [1462, 731, 2194, 1097, 3292, 1646, 823, 2470, 1235, 3706, 1853, 5560, 2780, 1390, 695, 2086, 1043, 3130, 1565, 4696, 2348, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1462,
      'J' = [731, 2194, 1097, 3292, 1646, 823, 2470, 1235, 3706, 1853, 5560, 2780, 1390, 695, 2086, 1043, 3130, 1565, 4696, 2348, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 731],
     [1462 > 1,
      0 is 1462 mod 2,
      731 is 1462 // 2,
      collatz(731, [731, 2194, 1097, 3292, 1646, 823, 2470, 1235, 3706, 1853, 5560, 2780, 1390, 695, 2086, 1043, 3130, 1565, 4696, 2348, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1462 > 1, builtin, [], []).
step(0 is 1462 mod 2, builtin, [], []).
step(731 is 1462 // 2, builtin, [], []).
step(collatz(731, [731, 2194, 1097, 3292, 1646, 823, 2470, 1235, 3706, 1853, 5560, 2780, 1390, 695, 2086, 1043, 3130, 1565, 4696, 2348, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 731,
      'J' = [2194, 1097, 3292, 1646, 823, 2470, 1235, 3706, 1853, 5560, 2780, 1390, 695, 2086, 1043, 3130, 1565, 4696, 2348, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 2193,
      'N1' = 2194],
     [731 > 1,
      1 is 731 mod 2,
      2193 is 3 * 731,
      2194 is 2193 + 1,
      collatz(2194, [2194, 1097, 3292, 1646, 823, 2470, 1235, 3706, 1853, 5560, 2780, 1390, 695, 2086, 1043, 3130, 1565, 4696, 2348, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(731 > 1, builtin, [], []).
step(1 is 731 mod 2, builtin, [], []).
step(2193 is 3 * 731, builtin, [], []).
step(2194 is 2193 + 1, builtin, [], []).
step(collatz(2194, [2194, 1097, 3292, 1646, 823, 2470, 1235, 3706, 1853, 5560, 2780, 1390, 695, 2086, 1043, 3130, 1565, 4696, 2348, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 2194,
      'J' = [1097, 3292, 1646, 823, 2470, 1235, 3706, 1853, 5560, 2780, 1390, 695, 2086, 1043, 3130, 1565, 4696, 2348, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1097],
     [2194 > 1,
      0 is 2194 mod 2,
      1097 is 2194 // 2,
      collatz(1097, [1097, 3292, 1646, 823, 2470, 1235, 3706, 1853, 5560, 2780, 1390, 695, 2086, 1043, 3130, 1565, 4696, 2348, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2194 > 1, builtin, [], []).
step(0 is 2194 mod 2, builtin, [], []).
step(1097 is 2194 // 2, builtin, [], []).
step(collatz(1097, [1097, 3292, 1646, 823, 2470, 1235, 3706, 1853, 5560, 2780, 1390, 695, 2086, 1043, 3130, 1565, 4696, 2348, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 1097,
      'J' = [3292, 1646, 823, 2470, 1235, 3706, 1853, 5560, 2780, 1390, 695, 2086, 1043, 3130, 1565, 4696, 2348, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 3291,
      'N1' = 3292],
     [1097 > 1,
      1 is 1097 mod 2,
      3291 is 3 * 1097,
      3292 is 3291 + 1,
      collatz(3292, [3292, 1646, 823, 2470, 1235, 3706, 1853, 5560, 2780, 1390, 695, 2086, 1043, 3130, 1565, 4696, 2348, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1097 > 1, builtin, [], []).
step(1 is 1097 mod 2, builtin, [], []).
step(3291 is 3 * 1097, builtin, [], []).
step(3292 is 3291 + 1, builtin, [], []).
step(collatz(3292, [3292, 1646, 823, 2470, 1235, 3706, 1853, 5560, 2780, 1390, 695, 2086, 1043, 3130, 1565, 4696, 2348, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 3292,
      'J' = [1646, 823, 2470, 1235, 3706, 1853, 5560, 2780, 1390, 695, 2086, 1043, 3130, 1565, 4696, 2348, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1646],
     [3292 > 1,
      0 is 3292 mod 2,
      1646 is 3292 // 2,
      collatz(1646, [1646, 823, 2470, 1235, 3706, 1853, 5560, 2780, 1390, 695, 2086, 1043, 3130, 1565, 4696, 2348, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(3292 > 1, builtin, [], []).
step(0 is 3292 mod 2, builtin, [], []).
step(1646 is 3292 // 2, builtin, [], []).
step(collatz(1646, [1646, 823, 2470, 1235, 3706, 1853, 5560, 2780, 1390, 695, 2086, 1043, 3130, 1565, 4696, 2348, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1646,
      'J' = [823, 2470, 1235, 3706, 1853, 5560, 2780, 1390, 695, 2086, 1043, 3130, 1565, 4696, 2348, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 823],
     [1646 > 1,
      0 is 1646 mod 2,
      823 is 1646 // 2,
      collatz(823, [823, 2470, 1235, 3706, 1853, 5560, 2780, 1390, 695, 2086, 1043, 3130, 1565, 4696, 2348, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1646 > 1, builtin, [], []).
step(0 is 1646 mod 2, builtin, [], []).
step(823 is 1646 // 2, builtin, [], []).
step(collatz(823, [823, 2470, 1235, 3706, 1853, 5560, 2780, 1390, 695, 2086, 1043, 3130, 1565, 4696, 2348, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 823,
      'J' = [2470, 1235, 3706, 1853, 5560, 2780, 1390, 695, 2086, 1043, 3130, 1565, 4696, 2348, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 2469,
      'N1' = 2470],
     [823 > 1,
      1 is 823 mod 2,
      2469 is 3 * 823,
      2470 is 2469 + 1,
      collatz(2470, [2470, 1235, 3706, 1853, 5560, 2780, 1390, 695, 2086, 1043, 3130, 1565, 4696, 2348, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(823 > 1, builtin, [], []).
step(1 is 823 mod 2, builtin, [], []).
step(2469 is 3 * 823, builtin, [], []).
step(2470 is 2469 + 1, builtin, [], []).
step(collatzTrajectory(973, [973, 2920, 1460, 730, 365, 1096, 548, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 973,
      'M' = [973, 2920, 1460, 730, 365, 1096, 548, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 27],
     [repeat(1000, 27),
      973 is 1000 - 27,
      collatz(973, [973, 2920, 1460, 730, 365, 1096, 548, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 27),
     rule(3),
     ['N' = 1000, 'I' = 27, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 27)]).
step(between(0, 999, 27), builtin, [], []).
step(973 is 1000 - 27, builtin, [], []).
step(collatz(973, [973, 2920, 1460, 730, 365, 1096, 548, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 973,
      'J' = [2920, 1460, 730, 365, 1096, 548, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 2919,
      'N1' = 2920],
     [973 > 1,
      1 is 973 mod 2,
      2919 is 3 * 973,
      2920 is 2919 + 1,
      collatz(2920, [2920, 1460, 730, 365, 1096, 548, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(973 > 1, builtin, [], []).
step(1 is 973 mod 2, builtin, [], []).
step(2919 is 3 * 973, builtin, [], []).
step(2920 is 2919 + 1, builtin, [], []).
step(collatz(2920, [2920, 1460, 730, 365, 1096, 548, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 2920,
      'J' = [1460, 730, 365, 1096, 548, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1460],
     [2920 > 1,
      0 is 2920 mod 2,
      1460 is 2920 // 2,
      collatz(1460, [1460, 730, 365, 1096, 548, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2920 > 1, builtin, [], []).
step(0 is 2920 mod 2, builtin, [], []).
step(1460 is 2920 // 2, builtin, [], []).
step(collatz(1460, [1460, 730, 365, 1096, 548, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1460,
      'J' = [730, 365, 1096, 548, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 730],
     [1460 > 1,
      0 is 1460 mod 2,
      730 is 1460 // 2,
      collatz(730, [730, 365, 1096, 548, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1460 > 1, builtin, [], []).
step(0 is 1460 mod 2, builtin, [], []).
step(730 is 1460 // 2, builtin, [], []).
step(collatz(730, [730, 365, 1096, 548, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 730,
      'J' = [365, 1096, 548, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 365],
     [730 > 1,
      0 is 730 mod 2,
      365 is 730 // 2,
      collatz(365, [365, 1096, 548, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(730 > 1, builtin, [], []).
step(0 is 730 mod 2, builtin, [], []).
step(365 is 730 // 2, builtin, [], []).
step(collatz(365, [365, 1096, 548, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 365,
      'J' = [1096, 548, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 1095,
      'N1' = 1096],
     [365 > 1,
      1 is 365 mod 2,
      1095 is 3 * 365,
      1096 is 1095 + 1,
      collatz(1096, [1096, 548, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(365 > 1, builtin, [], []).
step(1 is 365 mod 2, builtin, [], []).
step(1095 is 3 * 365, builtin, [], []).
step(1096 is 1095 + 1, builtin, [], []).
step(collatz(1096, [1096, 548, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1096,
      'J' = [548, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 548],
     [1096 > 1,
      0 is 1096 mod 2,
      548 is 1096 // 2,
      collatz(548, [548, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1096 > 1, builtin, [], []).
step(0 is 1096 mod 2, builtin, [], []).
step(548 is 1096 // 2, builtin, [], []).
step(collatz(548, [548, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 548,
      'J' = [274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 274],
     [548 > 1,
      0 is 548 mod 2,
      274 is 548 // 2,
      collatz(274, [274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(548 > 1, builtin, [], []).
step(0 is 548 mod 2, builtin, [], []).
step(274 is 548 // 2, builtin, [], []).
step(collatzTrajectory(972, [972, 486, 243, 730, 365, 1096, 548, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 972,
      'M' = [972, 486, 243, 730, 365, 1096, 548, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 28],
     [repeat(1000, 28),
      972 is 1000 - 28,
      collatz(972, [972, 486, 243, 730, 365, 1096, 548, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 28),
     rule(3),
     ['N' = 1000, 'I' = 28, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 28)]).
step(between(0, 999, 28), builtin, [], []).
step(972 is 1000 - 28, builtin, [], []).
step(collatz(972, [972, 486, 243, 730, 365, 1096, 548, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 972,
      'J' = [486, 243, 730, 365, 1096, 548, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 486],
     [972 > 1,
      0 is 972 mod 2,
      486 is 972 // 2,
      collatz(486, [486, 243, 730, 365, 1096, 548, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(972 > 1, builtin, [], []).
step(0 is 972 mod 2, builtin, [], []).
step(486 is 972 // 2, builtin, [], []).
step(collatz(486, [486, 243, 730, 365, 1096, 548, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 486,
      'J' = [243, 730, 365, 1096, 548, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 243],
     [486 > 1,
      0 is 486 mod 2,
      243 is 486 // 2,
      collatz(243, [243, 730, 365, 1096, 548, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(486 > 1, builtin, [], []).
step(0 is 486 mod 2, builtin, [], []).
step(243 is 486 // 2, builtin, [], []).
step(collatz(243, [243, 730, 365, 1096, 548, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 243,
      'J' = [730, 365, 1096, 548, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 729,
      'N1' = 730],
     [243 > 1,
      1 is 243 mod 2,
      729 is 3 * 243,
      730 is 729 + 1,
      collatz(730, [730, 365, 1096, 548, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(243 > 1, builtin, [], []).
step(1 is 243 mod 2, builtin, [], []).
step(729 is 3 * 243, builtin, [], []).
step(730 is 729 + 1, builtin, [], []).
step(collatzTrajectory(971, [971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 971,
      'M' = [971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 29],
     [repeat(1000, 29),
      971 is 1000 - 29,
      collatz(971, [971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 29),
     rule(3),
     ['N' = 1000, 'I' = 29, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 29)]).
step(between(0, 999, 29), builtin, [], []).
step(971 is 1000 - 29, builtin, [], []).
step(collatz(971, [971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 971,
      'J' = [2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 2913,
      'N1' = 2914],
     [971 > 1,
      1 is 971 mod 2,
      2913 is 3 * 971,
      2914 is 2913 + 1,
      collatz(2914, [2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(971 > 1, builtin, [], []).
step(1 is 971 mod 2, builtin, [], []).
step(2913 is 3 * 971, builtin, [], []).
step(2914 is 2913 + 1, builtin, [], []).
step(collatz(2914, [2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 2914,
      'J' = [1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1457],
     [2914 > 1,
      0 is 2914 mod 2,
      1457 is 2914 // 2,
      collatz(1457, [1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2914 > 1, builtin, [], []).
step(0 is 2914 mod 2, builtin, [], []).
step(1457 is 2914 // 2, builtin, [], []).
step(collatz(1457, [1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 1457,
      'J' = [4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 4371,
      'N1' = 4372],
     [1457 > 1,
      1 is 1457 mod 2,
      4371 is 3 * 1457,
      4372 is 4371 + 1,
      collatz(4372, [4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1457 > 1, builtin, [], []).
step(1 is 1457 mod 2, builtin, [], []).
step(4371 is 3 * 1457, builtin, [], []).
step(4372 is 4371 + 1, builtin, [], []).
step(collatz(4372, [4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 4372,
      'J' = [2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 2186],
     [4372 > 1,
      0 is 4372 mod 2,
      2186 is 4372 // 2,
      collatz(2186, [2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(4372 > 1, builtin, [], []).
step(0 is 4372 mod 2, builtin, [], []).
step(2186 is 4372 // 2, builtin, [], []).
step(collatz(2186, [2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 2186,
      'J' = [1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1093],
     [2186 > 1,
      0 is 2186 mod 2,
      1093 is 2186 // 2,
      collatz(1093, [1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2186 > 1, builtin, [], []).
step(0 is 2186 mod 2, builtin, [], []).
step(1093 is 2186 // 2, builtin, [], []).
step(collatz(1093, [1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 1093,
      'J' = [3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 3279,
      'N1' = 3280],
     [1093 > 1,
      1 is 1093 mod 2,
      3279 is 3 * 1093,
      3280 is 3279 + 1,
      collatz(3280, [3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1093 > 1, builtin, [], []).
step(1 is 1093 mod 2, builtin, [], []).
step(3279 is 3 * 1093, builtin, [], []).
step(3280 is 3279 + 1, builtin, [], []).
step(collatz(3280, [3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 3280,
      'J' = [1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1640],
     [3280 > 1,
      0 is 3280 mod 2,
      1640 is 3280 // 2,
      collatz(1640, [1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(3280 > 1, builtin, [], []).
step(0 is 3280 mod 2, builtin, [], []).
step(1640 is 3280 // 2, builtin, [], []).
step(collatz(1640, [1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1640,
      'J' = [820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 820],
     [1640 > 1,
      0 is 1640 mod 2,
      820 is 1640 // 2,
      collatz(820, [820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1640 > 1, builtin, [], []).
step(0 is 1640 mod 2, builtin, [], []).
step(820 is 1640 // 2, builtin, [], []).
step(collatz(820, [820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 820,
      'J' = [410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 410],
     [820 > 1,
      0 is 820 mod 2,
      410 is 820 // 2,
      collatz(410, [410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(820 > 1, builtin, [], []).
step(0 is 820 mod 2, builtin, [], []).
step(410 is 820 // 2, builtin, [], []).
step(collatz(410, [410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 410,
      'J' = [205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 205],
     [410 > 1,
      0 is 410 mod 2,
      205 is 410 // 2,
      collatz(205, [205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(410 > 1, builtin, [], []).
step(0 is 410 mod 2, builtin, [], []).
step(205 is 410 // 2, builtin, [], []).
step(collatz(205, [205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 205,
      'J' = [616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 615,
      'N1' = 616],
     [205 > 1,
      1 is 205 mod 2,
      615 is 3 * 205,
      616 is 615 + 1,
      collatz(616, [616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(205 > 1, builtin, [], []).
step(1 is 205 mod 2, builtin, [], []).
step(615 is 3 * 205, builtin, [], []).
step(616 is 615 + 1, builtin, [], []).
step(collatz(616, [616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 616,
      'J' = [308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 308],
     [616 > 1,
      0 is 616 mod 2,
      308 is 616 // 2,
      collatz(308, [308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(616 > 1, builtin, [], []).
step(0 is 616 mod 2, builtin, [], []).
step(308 is 616 // 2, builtin, [], []).
step(collatz(308, [308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 308,
      'J' = [154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 154],
     [308 > 1,
      0 is 308 mod 2,
      154 is 308 // 2,
      collatz(154, [154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(308 > 1, builtin, [], []).
step(0 is 308 mod 2, builtin, [], []).
step(154 is 308 // 2, builtin, [], []).
step(collatz(154, [154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 154,
      'J' = [77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 77],
     [154 > 1,
      0 is 154 mod 2,
      77 is 154 // 2,
      collatz(77, [77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(154 > 1, builtin, [], []).
step(0 is 154 mod 2, builtin, [], []).
step(77 is 154 // 2, builtin, [], []).
step(collatz(77, [77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 77,
      'J' = [232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 231,
      'N1' = 232],
     [77 > 1,
      1 is 77 mod 2,
      231 is 3 * 77,
      232 is 231 + 1,
      collatz(232, [232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(77 > 1, builtin, [], []).
step(1 is 77 mod 2, builtin, [], []).
step(231 is 3 * 77, builtin, [], []).
step(232 is 231 + 1, builtin, [], []).
step(collatz(232, [232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 232,
      'J' = [116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 116],
     [232 > 1,
      0 is 232 mod 2,
      116 is 232 // 2,
      collatz(116, [116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(232 > 1, builtin, [], []).
step(0 is 232 mod 2, builtin, [], []).
step(116 is 232 // 2, builtin, [], []).
step(collatz(116, [116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 116,
      'J' = [58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 58],
     [116 > 1,
      0 is 116 mod 2,
      58 is 116 // 2,
      collatz(58, [58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(116 > 1, builtin, [], []).
step(0 is 116 mod 2, builtin, [], []).
step(58 is 116 // 2, builtin, [], []).
step(collatzTrajectory(970, [970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 970,
      'M' = [970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 30],
     [repeat(1000, 30),
      970 is 1000 - 30,
      collatz(970, [970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 30),
     rule(3),
     ['N' = 1000, 'I' = 30, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 30)]).
step(between(0, 999, 30), builtin, [], []).
step(970 is 1000 - 30, builtin, [], []).
step(collatz(970, [970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 970,
      'J' = [485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 485],
     [970 > 1,
      0 is 970 mod 2,
      485 is 970 // 2,
      collatz(485, [485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(970 > 1, builtin, [], []).
step(0 is 970 mod 2, builtin, [], []).
step(485 is 970 // 2, builtin, [], []).
step(collatz(485, [485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 485,
      'J' = [1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 1455,
      'N1' = 1456],
     [485 > 1,
      1 is 485 mod 2,
      1455 is 3 * 485,
      1456 is 1455 + 1,
      collatz(1456, [1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(485 > 1, builtin, [], []).
step(1 is 485 mod 2, builtin, [], []).
step(1455 is 3 * 485, builtin, [], []).
step(1456 is 1455 + 1, builtin, [], []).
step(collatz(1456, [1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1456,
      'J' = [728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 728],
     [1456 > 1,
      0 is 1456 mod 2,
      728 is 1456 // 2,
      collatz(728, [728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1456 > 1, builtin, [], []).
step(0 is 1456 mod 2, builtin, [], []).
step(728 is 1456 // 2, builtin, [], []).
step(collatz(728, [728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 728,
      'J' = [364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 364],
     [728 > 1,
      0 is 728 mod 2,
      364 is 728 // 2,
      collatz(364, [364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(728 > 1, builtin, [], []).
step(0 is 728 mod 2, builtin, [], []).
step(364 is 728 // 2, builtin, [], []).
step(collatzTrajectory(969, [969, 2908, 1454, 727, 2182, 1091, 3274, 1637, 4912, 2456, 1228, 614, 307, 922, 461, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 969,
      'M' = [969, 2908, 1454, 727, 2182, 1091, 3274, 1637, 4912, 2456, 1228, 614, 307, 922, 461, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 31],
     [repeat(1000, 31),
      969 is 1000 - 31,
      collatz(969, [969, 2908, 1454, 727, 2182, 1091, 3274, 1637, 4912, 2456, 1228, 614, 307, 922, 461, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 31),
     rule(3),
     ['N' = 1000, 'I' = 31, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 31)]).
step(between(0, 999, 31), builtin, [], []).
step(969 is 1000 - 31, builtin, [], []).
step(collatz(969, [969, 2908, 1454, 727, 2182, 1091, 3274, 1637, 4912, 2456, 1228, 614, 307, 922, 461, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 969,
      'J' = [2908, 1454, 727, 2182, 1091, 3274, 1637, 4912, 2456, 1228, 614, 307, 922, 461, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 2907,
      'N1' = 2908],
     [969 > 1,
      1 is 969 mod 2,
      2907 is 3 * 969,
      2908 is 2907 + 1,
      collatz(2908, [2908, 1454, 727, 2182, 1091, 3274, 1637, 4912, 2456, 1228, 614, 307, 922, 461, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(969 > 1, builtin, [], []).
step(1 is 969 mod 2, builtin, [], []).
step(2907 is 3 * 969, builtin, [], []).
step(2908 is 2907 + 1, builtin, [], []).
step(collatz(2908, [2908, 1454, 727, 2182, 1091, 3274, 1637, 4912, 2456, 1228, 614, 307, 922, 461, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 2908,
      'J' = [1454, 727, 2182, 1091, 3274, 1637, 4912, 2456, 1228, 614, 307, 922, 461, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1454],
     [2908 > 1,
      0 is 2908 mod 2,
      1454 is 2908 // 2,
      collatz(1454, [1454, 727, 2182, 1091, 3274, 1637, 4912, 2456, 1228, 614, 307, 922, 461, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2908 > 1, builtin, [], []).
step(0 is 2908 mod 2, builtin, [], []).
step(1454 is 2908 // 2, builtin, [], []).
step(collatz(1454, [1454, 727, 2182, 1091, 3274, 1637, 4912, 2456, 1228, 614, 307, 922, 461, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1454,
      'J' = [727, 2182, 1091, 3274, 1637, 4912, 2456, 1228, 614, 307, 922, 461, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 727],
     [1454 > 1,
      0 is 1454 mod 2,
      727 is 1454 // 2,
      collatz(727, [727, 2182, 1091, 3274, 1637, 4912, 2456, 1228, 614, 307, 922, 461, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1454 > 1, builtin, [], []).
step(0 is 1454 mod 2, builtin, [], []).
step(727 is 1454 // 2, builtin, [], []).
step(collatz(727, [727, 2182, 1091, 3274, 1637, 4912, 2456, 1228, 614, 307, 922, 461, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 727,
      'J' = [2182, 1091, 3274, 1637, 4912, 2456, 1228, 614, 307, 922, 461, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 2181,
      'N1' = 2182],
     [727 > 1,
      1 is 727 mod 2,
      2181 is 3 * 727,
      2182 is 2181 + 1,
      collatz(2182, [2182, 1091, 3274, 1637, 4912, 2456, 1228, 614, 307, 922, 461, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(727 > 1, builtin, [], []).
step(1 is 727 mod 2, builtin, [], []).
step(2181 is 3 * 727, builtin, [], []).
step(2182 is 2181 + 1, builtin, [], []).
step(collatz(2182, [2182, 1091, 3274, 1637, 4912, 2456, 1228, 614, 307, 922, 461, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 2182,
      'J' = [1091, 3274, 1637, 4912, 2456, 1228, 614, 307, 922, 461, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1091],
     [2182 > 1,
      0 is 2182 mod 2,
      1091 is 2182 // 2,
      collatz(1091, [1091, 3274, 1637, 4912, 2456, 1228, 614, 307, 922, 461, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2182 > 1, builtin, [], []).
step(0 is 2182 mod 2, builtin, [], []).
step(1091 is 2182 // 2, builtin, [], []).
step(collatz(1091, [1091, 3274, 1637, 4912, 2456, 1228, 614, 307, 922, 461, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 1091,
      'J' = [3274, 1637, 4912, 2456, 1228, 614, 307, 922, 461, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 3273,
      'N1' = 3274],
     [1091 > 1,
      1 is 1091 mod 2,
      3273 is 3 * 1091,
      3274 is 3273 + 1,
      collatz(3274, [3274, 1637, 4912, 2456, 1228, 614, 307, 922, 461, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1091 > 1, builtin, [], []).
step(1 is 1091 mod 2, builtin, [], []).
step(3273 is 3 * 1091, builtin, [], []).
step(3274 is 3273 + 1, builtin, [], []).
step(collatz(3274, [3274, 1637, 4912, 2456, 1228, 614, 307, 922, 461, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 3274,
      'J' = [1637, 4912, 2456, 1228, 614, 307, 922, 461, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1637],
     [3274 > 1,
      0 is 3274 mod 2,
      1637 is 3274 // 2,
      collatz(1637, [1637, 4912, 2456, 1228, 614, 307, 922, 461, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(3274 > 1, builtin, [], []).
step(0 is 3274 mod 2, builtin, [], []).
step(1637 is 3274 // 2, builtin, [], []).
step(collatz(1637, [1637, 4912, 2456, 1228, 614, 307, 922, 461, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 1637,
      'J' = [4912, 2456, 1228, 614, 307, 922, 461, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 4911,
      'N1' = 4912],
     [1637 > 1,
      1 is 1637 mod 2,
      4911 is 3 * 1637,
      4912 is 4911 + 1,
      collatz(4912, [4912, 2456, 1228, 614, 307, 922, 461, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1637 > 1, builtin, [], []).
step(1 is 1637 mod 2, builtin, [], []).
step(4911 is 3 * 1637, builtin, [], []).
step(4912 is 4911 + 1, builtin, [], []).
step(collatz(4912, [4912, 2456, 1228, 614, 307, 922, 461, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 4912,
      'J' = [2456, 1228, 614, 307, 922, 461, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 2456],
     [4912 > 1,
      0 is 4912 mod 2,
      2456 is 4912 // 2,
      collatz(2456, [2456, 1228, 614, 307, 922, 461, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(4912 > 1, builtin, [], []).
step(0 is 4912 mod 2, builtin, [], []).
step(2456 is 4912 // 2, builtin, [], []).
step(collatz(2456, [2456, 1228, 614, 307, 922, 461, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 2456,
      'J' = [1228, 614, 307, 922, 461, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1228],
     [2456 > 1,
      0 is 2456 mod 2,
      1228 is 2456 // 2,
      collatz(1228, [1228, 614, 307, 922, 461, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2456 > 1, builtin, [], []).
step(0 is 2456 mod 2, builtin, [], []).
step(1228 is 2456 // 2, builtin, [], []).
step(collatz(1228, [1228, 614, 307, 922, 461, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1228,
      'J' = [614, 307, 922, 461, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 614],
     [1228 > 1,
      0 is 1228 mod 2,
      614 is 1228 // 2,
      collatz(614, [614, 307, 922, 461, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1228 > 1, builtin, [], []).
step(0 is 1228 mod 2, builtin, [], []).
step(614 is 1228 // 2, builtin, [], []).
step(collatz(614, [614, 307, 922, 461, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 614,
      'J' = [307, 922, 461, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 307],
     [614 > 1,
      0 is 614 mod 2,
      307 is 614 // 2,
      collatz(307, [307, 922, 461, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(614 > 1, builtin, [], []).
step(0 is 614 mod 2, builtin, [], []).
step(307 is 614 // 2, builtin, [], []).
step(collatz(307, [307, 922, 461, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 307,
      'J' = [922, 461, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 921,
      'N1' = 922],
     [307 > 1,
      1 is 307 mod 2,
      921 is 3 * 307,
      922 is 921 + 1,
      collatz(922, [922, 461, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(307 > 1, builtin, [], []).
step(1 is 307 mod 2, builtin, [], []).
step(921 is 3 * 307, builtin, [], []).
step(922 is 921 + 1, builtin, [], []).
step(collatz(922, [922, 461, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 922,
      'J' = [461, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 461],
     [922 > 1,
      0 is 922 mod 2,
      461 is 922 // 2,
      collatz(461, [461, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(922 > 1, builtin, [], []).
step(0 is 922 mod 2, builtin, [], []).
step(461 is 922 // 2, builtin, [], []).
step(collatz(461, [461, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 461,
      'J' = [1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 1383,
      'N1' = 1384],
     [461 > 1,
      1 is 461 mod 2,
      1383 is 3 * 461,
      1384 is 1383 + 1,
      collatz(1384, [1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(461 > 1, builtin, [], []).
step(1 is 461 mod 2, builtin, [], []).
step(1383 is 3 * 461, builtin, [], []).
step(1384 is 1383 + 1, builtin, [], []).
step(collatz(1384, [1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1384,
      'J' = [692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 692],
     [1384 > 1,
      0 is 1384 mod 2,
      692 is 1384 // 2,
      collatz(692, [692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1384 > 1, builtin, [], []).
step(0 is 1384 mod 2, builtin, [], []).
step(692 is 1384 // 2, builtin, [], []).
step(collatz(692, [692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 692,
      'J' = [346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 346],
     [692 > 1,
      0 is 692 mod 2,
      346 is 692 // 2,
      collatz(346, [346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(692 > 1, builtin, [], []).
step(0 is 692 mod 2, builtin, [], []).
step(346 is 692 // 2, builtin, [], []).
step(collatz(346, [346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 346,
      'J' = [173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 173],
     [346 > 1,
      0 is 346 mod 2,
      173 is 346 // 2,
      collatz(173, [173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(346 > 1, builtin, [], []).
step(0 is 346 mod 2, builtin, [], []).
step(173 is 346 // 2, builtin, [], []).
step(collatz(173, [173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 173,
      'J' = [520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 519,
      'N1' = 520],
     [173 > 1,
      1 is 173 mod 2,
      519 is 3 * 173,
      520 is 519 + 1,
      collatz(520, [520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(173 > 1, builtin, [], []).
step(1 is 173 mod 2, builtin, [], []).
step(519 is 3 * 173, builtin, [], []).
step(520 is 519 + 1, builtin, [], []).
step(collatz(520, [520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 520,
      'J' = [260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 260],
     [520 > 1,
      0 is 520 mod 2,
      260 is 520 // 2,
      collatz(260, [260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(520 > 1, builtin, [], []).
step(0 is 520 mod 2, builtin, [], []).
step(260 is 520 // 2, builtin, [], []).
step(collatz(260, [260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 260,
      'J' = [130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 130],
     [260 > 1,
      0 is 260 mod 2,
      130 is 260 // 2,
      collatz(130, [130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(260 > 1, builtin, [], []).
step(0 is 260 mod 2, builtin, [], []).
step(130 is 260 // 2, builtin, [], []).
step(collatzTrajectory(968, [968, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 968,
      'M' = [968, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 32],
     [repeat(1000, 32),
      968 is 1000 - 32,
      collatz(968, [968, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 32),
     rule(3),
     ['N' = 1000, 'I' = 32, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 32)]).
step(between(0, 999, 32), builtin, [], []).
step(968 is 1000 - 32, builtin, [], []).
step(collatz(968, [968, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 968,
      'J' = [484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 484],
     [968 > 1,
      0 is 968 mod 2,
      484 is 968 // 2,
      collatz(484, [484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(968 > 1, builtin, [], []).
step(0 is 968 mod 2, builtin, [], []).
step(484 is 968 // 2, builtin, [], []).
step(collatzTrajectory(967, [967, 2902, 1451, 4354, 2177, 6532, 3266, 1633, 4900, 2450, 1225, 3676, 1838, 919, 2758, 1379, 4138, 2069, 6208, 3104, 1552, 776, 388, 194, 97, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 967,
      'M' = [967, 2902, 1451, 4354, 2177, 6532, 3266, 1633, 4900, 2450, 1225, 3676, 1838, 919, 2758, 1379, 4138, 2069, 6208, 3104, 1552, 776, 388, 194, 97, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 33],
     [repeat(1000, 33),
      967 is 1000 - 33,
      collatz(967, [967, 2902, 1451, 4354, 2177, 6532, 3266, 1633, 4900, 2450, 1225, 3676, 1838, 919, 2758, 1379, 4138, 2069, 6208, 3104, 1552, 776, 388, 194, 97, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 33),
     rule(3),
     ['N' = 1000, 'I' = 33, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 33)]).
step(between(0, 999, 33), builtin, [], []).
step(967 is 1000 - 33, builtin, [], []).
step(collatz(967, [967, 2902, 1451, 4354, 2177, 6532, 3266, 1633, 4900, 2450, 1225, 3676, 1838, 919, 2758, 1379, 4138, 2069, 6208, 3104, 1552, 776, 388, 194, 97, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 967,
      'J' = [2902, 1451, 4354, 2177, 6532, 3266, 1633, 4900, 2450, 1225, 3676, 1838, 919, 2758, 1379, 4138, 2069, 6208, 3104, 1552, 776, 388, 194, 97, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 2901,
      'N1' = 2902],
     [967 > 1,
      1 is 967 mod 2,
      2901 is 3 * 967,
      2902 is 2901 + 1,
      collatz(2902, [2902, 1451, 4354, 2177, 6532, 3266, 1633, 4900, 2450, 1225, 3676, 1838, 919, 2758, 1379, 4138, 2069, 6208, 3104, 1552, 776, 388, 194, 97, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(967 > 1, builtin, [], []).
step(1 is 967 mod 2, builtin, [], []).
step(2901 is 3 * 967, builtin, [], []).
step(2902 is 2901 + 1, builtin, [], []).
step(collatz(2902, [2902, 1451, 4354, 2177, 6532, 3266, 1633, 4900, 2450, 1225, 3676, 1838, 919, 2758, 1379, 4138, 2069, 6208, 3104, 1552, 776, 388, 194, 97, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 2902,
      'J' = [1451, 4354, 2177, 6532, 3266, 1633, 4900, 2450, 1225, 3676, 1838, 919, 2758, 1379, 4138, 2069, 6208, 3104, 1552, 776, 388, 194, 97, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1451],
     [2902 > 1,
      0 is 2902 mod 2,
      1451 is 2902 // 2,
      collatz(1451, [1451, 4354, 2177, 6532, 3266, 1633, 4900, 2450, 1225, 3676, 1838, 919, 2758, 1379, 4138, 2069, 6208, 3104, 1552, 776, 388, 194, 97, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2902 > 1, builtin, [], []).
step(0 is 2902 mod 2, builtin, [], []).
step(1451 is 2902 // 2, builtin, [], []).
step(collatz(1451, [1451, 4354, 2177, 6532, 3266, 1633, 4900, 2450, 1225, 3676, 1838, 919, 2758, 1379, 4138, 2069, 6208, 3104, 1552, 776, 388, 194, 97, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 1451,
      'J' = [4354, 2177, 6532, 3266, 1633, 4900, 2450, 1225, 3676, 1838, 919, 2758, 1379, 4138, 2069, 6208, 3104, 1552, 776, 388, 194, 97, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 4353,
      'N1' = 4354],
     [1451 > 1,
      1 is 1451 mod 2,
      4353 is 3 * 1451,
      4354 is 4353 + 1,
      collatz(4354, [4354, 2177, 6532, 3266, 1633, 4900, 2450, 1225, 3676, 1838, 919, 2758, 1379, 4138, 2069, 6208, 3104, 1552, 776, 388, 194, 97, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1451 > 1, builtin, [], []).
step(1 is 1451 mod 2, builtin, [], []).
step(4353 is 3 * 1451, builtin, [], []).
step(4354 is 4353 + 1, builtin, [], []).
step(collatz(4354, [4354, 2177, 6532, 3266, 1633, 4900, 2450, 1225, 3676, 1838, 919, 2758, 1379, 4138, 2069, 6208, 3104, 1552, 776, 388, 194, 97, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 4354,
      'J' = [2177, 6532, 3266, 1633, 4900, 2450, 1225, 3676, 1838, 919, 2758, 1379, 4138, 2069, 6208, 3104, 1552, 776, 388, 194, 97, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 2177],
     [4354 > 1,
      0 is 4354 mod 2,
      2177 is 4354 // 2,
      collatz(2177, [2177, 6532, 3266, 1633, 4900, 2450, 1225, 3676, 1838, 919, 2758, 1379, 4138, 2069, 6208, 3104, 1552, 776, 388, 194, 97, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(4354 > 1, builtin, [], []).
step(0 is 4354 mod 2, builtin, [], []).
step(2177 is 4354 // 2, builtin, [], []).
step(collatz(2177, [2177, 6532, 3266, 1633, 4900, 2450, 1225, 3676, 1838, 919, 2758, 1379, 4138, 2069, 6208, 3104, 1552, 776, 388, 194, 97, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 2177,
      'J' = [6532, 3266, 1633, 4900, 2450, 1225, 3676, 1838, 919, 2758, 1379, 4138, 2069, 6208, 3104, 1552, 776, 388, 194, 97, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 6531,
      'N1' = 6532],
     [2177 > 1,
      1 is 2177 mod 2,
      6531 is 3 * 2177,
      6532 is 6531 + 1,
      collatz(6532, [6532, 3266, 1633, 4900, 2450, 1225, 3676, 1838, 919, 2758, 1379, 4138, 2069, 6208, 3104, 1552, 776, 388, 194, 97, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2177 > 1, builtin, [], []).
step(1 is 2177 mod 2, builtin, [], []).
step(6531 is 3 * 2177, builtin, [], []).
step(6532 is 6531 + 1, builtin, [], []).
step(collatz(6532, [6532, 3266, 1633, 4900, 2450, 1225, 3676, 1838, 919, 2758, 1379, 4138, 2069, 6208, 3104, 1552, 776, 388, 194, 97, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 6532,
      'J' = [3266, 1633, 4900, 2450, 1225, 3676, 1838, 919, 2758, 1379, 4138, 2069, 6208, 3104, 1552, 776, 388, 194, 97, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 3266],
     [6532 > 1,
      0 is 6532 mod 2,
      3266 is 6532 // 2,
      collatz(3266, [3266, 1633, 4900, 2450, 1225, 3676, 1838, 919, 2758, 1379, 4138, 2069, 6208, 3104, 1552, 776, 388, 194, 97, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(6532 > 1, builtin, [], []).
step(0 is 6532 mod 2, builtin, [], []).
step(3266 is 6532 // 2, builtin, [], []).
step(collatz(3266, [3266, 1633, 4900, 2450, 1225, 3676, 1838, 919, 2758, 1379, 4138, 2069, 6208, 3104, 1552, 776, 388, 194, 97, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 3266,
      'J' = [1633, 4900, 2450, 1225, 3676, 1838, 919, 2758, 1379, 4138, 2069, 6208, 3104, 1552, 776, 388, 194, 97, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1633],
     [3266 > 1,
      0 is 3266 mod 2,
      1633 is 3266 // 2,
      collatz(1633, [1633, 4900, 2450, 1225, 3676, 1838, 919, 2758, 1379, 4138, 2069, 6208, 3104, 1552, 776, 388, 194, 97, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(3266 > 1, builtin, [], []).
step(0 is 3266 mod 2, builtin, [], []).
step(1633 is 3266 // 2, builtin, [], []).
step(collatz(1633, [1633, 4900, 2450, 1225, 3676, 1838, 919, 2758, 1379, 4138, 2069, 6208, 3104, 1552, 776, 388, 194, 97, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 1633,
      'J' = [4900, 2450, 1225, 3676, 1838, 919, 2758, 1379, 4138, 2069, 6208, 3104, 1552, 776, 388, 194, 97, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 4899,
      'N1' = 4900],
     [1633 > 1,
      1 is 1633 mod 2,
      4899 is 3 * 1633,
      4900 is 4899 + 1,
      collatz(4900, [4900, 2450, 1225, 3676, 1838, 919, 2758, 1379, 4138, 2069, 6208, 3104, 1552, 776, 388, 194, 97, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1633 > 1, builtin, [], []).
step(1 is 1633 mod 2, builtin, [], []).
step(4899 is 3 * 1633, builtin, [], []).
step(4900 is 4899 + 1, builtin, [], []).
step(collatz(4900, [4900, 2450, 1225, 3676, 1838, 919, 2758, 1379, 4138, 2069, 6208, 3104, 1552, 776, 388, 194, 97, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 4900,
      'J' = [2450, 1225, 3676, 1838, 919, 2758, 1379, 4138, 2069, 6208, 3104, 1552, 776, 388, 194, 97, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 2450],
     [4900 > 1,
      0 is 4900 mod 2,
      2450 is 4900 // 2,
      collatz(2450, [2450, 1225, 3676, 1838, 919, 2758, 1379, 4138, 2069, 6208, 3104, 1552, 776, 388, 194, 97, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(4900 > 1, builtin, [], []).
step(0 is 4900 mod 2, builtin, [], []).
step(2450 is 4900 // 2, builtin, [], []).
step(collatz(2450, [2450, 1225, 3676, 1838, 919, 2758, 1379, 4138, 2069, 6208, 3104, 1552, 776, 388, 194, 97, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 2450,
      'J' = [1225, 3676, 1838, 919, 2758, 1379, 4138, 2069, 6208, 3104, 1552, 776, 388, 194, 97, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1225],
     [2450 > 1,
      0 is 2450 mod 2,
      1225 is 2450 // 2,
      collatz(1225, [1225, 3676, 1838, 919, 2758, 1379, 4138, 2069, 6208, 3104, 1552, 776, 388, 194, 97, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2450 > 1, builtin, [], []).
step(0 is 2450 mod 2, builtin, [], []).
step(1225 is 2450 // 2, builtin, [], []).
step(collatz(1225, [1225, 3676, 1838, 919, 2758, 1379, 4138, 2069, 6208, 3104, 1552, 776, 388, 194, 97, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 1225,
      'J' = [3676, 1838, 919, 2758, 1379, 4138, 2069, 6208, 3104, 1552, 776, 388, 194, 97, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 3675,
      'N1' = 3676],
     [1225 > 1,
      1 is 1225 mod 2,
      3675 is 3 * 1225,
      3676 is 3675 + 1,
      collatz(3676, [3676, 1838, 919, 2758, 1379, 4138, 2069, 6208, 3104, 1552, 776, 388, 194, 97, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1225 > 1, builtin, [], []).
step(1 is 1225 mod 2, builtin, [], []).
step(3675 is 3 * 1225, builtin, [], []).
step(3676 is 3675 + 1, builtin, [], []).
step(collatz(3676, [3676, 1838, 919, 2758, 1379, 4138, 2069, 6208, 3104, 1552, 776, 388, 194, 97, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 3676,
      'J' = [1838, 919, 2758, 1379, 4138, 2069, 6208, 3104, 1552, 776, 388, 194, 97, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1838],
     [3676 > 1,
      0 is 3676 mod 2,
      1838 is 3676 // 2,
      collatz(1838, [1838, 919, 2758, 1379, 4138, 2069, 6208, 3104, 1552, 776, 388, 194, 97, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(3676 > 1, builtin, [], []).
step(0 is 3676 mod 2, builtin, [], []).
step(1838 is 3676 // 2, builtin, [], []).
step(collatz(1838, [1838, 919, 2758, 1379, 4138, 2069, 6208, 3104, 1552, 776, 388, 194, 97, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1838,
      'J' = [919, 2758, 1379, 4138, 2069, 6208, 3104, 1552, 776, 388, 194, 97, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 919],
     [1838 > 1,
      0 is 1838 mod 2,
      919 is 1838 // 2,
      collatz(919, [919, 2758, 1379, 4138, 2069, 6208, 3104, 1552, 776, 388, 194, 97, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1838 > 1, builtin, [], []).
step(0 is 1838 mod 2, builtin, [], []).
step(919 is 1838 // 2, builtin, [], []).
step(collatz(919, [919, 2758, 1379, 4138, 2069, 6208, 3104, 1552, 776, 388, 194, 97, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 919,
      'J' = [2758, 1379, 4138, 2069, 6208, 3104, 1552, 776, 388, 194, 97, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 2757,
      'N1' = 2758],
     [919 > 1,
      1 is 919 mod 2,
      2757 is 3 * 919,
      2758 is 2757 + 1,
      collatz(2758, [2758, 1379, 4138, 2069, 6208, 3104, 1552, 776, 388, 194, 97, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(919 > 1, builtin, [], []).
step(1 is 919 mod 2, builtin, [], []).
step(2757 is 3 * 919, builtin, [], []).
step(2758 is 2757 + 1, builtin, [], []).
step(collatz(2758, [2758, 1379, 4138, 2069, 6208, 3104, 1552, 776, 388, 194, 97, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 2758,
      'J' = [1379, 4138, 2069, 6208, 3104, 1552, 776, 388, 194, 97, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1379],
     [2758 > 1,
      0 is 2758 mod 2,
      1379 is 2758 // 2,
      collatz(1379, [1379, 4138, 2069, 6208, 3104, 1552, 776, 388, 194, 97, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2758 > 1, builtin, [], []).
step(0 is 2758 mod 2, builtin, [], []).
step(1379 is 2758 // 2, builtin, [], []).
step(collatz(1379, [1379, 4138, 2069, 6208, 3104, 1552, 776, 388, 194, 97, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 1379,
      'J' = [4138, 2069, 6208, 3104, 1552, 776, 388, 194, 97, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 4137,
      'N1' = 4138],
     [1379 > 1,
      1 is 1379 mod 2,
      4137 is 3 * 1379,
      4138 is 4137 + 1,
      collatz(4138, [4138, 2069, 6208, 3104, 1552, 776, 388, 194, 97, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1379 > 1, builtin, [], []).
step(1 is 1379 mod 2, builtin, [], []).
step(4137 is 3 * 1379, builtin, [], []).
step(4138 is 4137 + 1, builtin, [], []).
step(collatz(4138, [4138, 2069, 6208, 3104, 1552, 776, 388, 194, 97, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 4138,
      'J' = [2069, 6208, 3104, 1552, 776, 388, 194, 97, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 2069],
     [4138 > 1,
      0 is 4138 mod 2,
      2069 is 4138 // 2,
      collatz(2069, [2069, 6208, 3104, 1552, 776, 388, 194, 97, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(4138 > 1, builtin, [], []).
step(0 is 4138 mod 2, builtin, [], []).
step(2069 is 4138 // 2, builtin, [], []).
step(collatz(2069, [2069, 6208, 3104, 1552, 776, 388, 194, 97, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 2069,
      'J' = [6208, 3104, 1552, 776, 388, 194, 97, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 6207,
      'N1' = 6208],
     [2069 > 1,
      1 is 2069 mod 2,
      6207 is 3 * 2069,
      6208 is 6207 + 1,
      collatz(6208, [6208, 3104, 1552, 776, 388, 194, 97, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2069 > 1, builtin, [], []).
step(1 is 2069 mod 2, builtin, [], []).
step(6207 is 3 * 2069, builtin, [], []).
step(6208 is 6207 + 1, builtin, [], []).
step(collatz(6208, [6208, 3104, 1552, 776, 388, 194, 97, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 6208,
      'J' = [3104, 1552, 776, 388, 194, 97, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 3104],
     [6208 > 1,
      0 is 6208 mod 2,
      3104 is 6208 // 2,
      collatz(3104, [3104, 1552, 776, 388, 194, 97, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(6208 > 1, builtin, [], []).
step(0 is 6208 mod 2, builtin, [], []).
step(3104 is 6208 // 2, builtin, [], []).
step(collatz(3104, [3104, 1552, 776, 388, 194, 97, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 3104,
      'J' = [1552, 776, 388, 194, 97, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1552],
     [3104 > 1,
      0 is 3104 mod 2,
      1552 is 3104 // 2,
      collatz(1552, [1552, 776, 388, 194, 97, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(3104 > 1, builtin, [], []).
step(0 is 3104 mod 2, builtin, [], []).
step(1552 is 3104 // 2, builtin, [], []).
step(collatz(1552, [1552, 776, 388, 194, 97, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1552,
      'J' = [776, 388, 194, 97, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 776],
     [1552 > 1,
      0 is 1552 mod 2,
      776 is 1552 // 2,
      collatz(776, [776, 388, 194, 97, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1552 > 1, builtin, [], []).
step(0 is 1552 mod 2, builtin, [], []).
step(776 is 1552 // 2, builtin, [], []).
step(collatz(776, [776, 388, 194, 97, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 776,
      'J' = [388, 194, 97, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 388],
     [776 > 1,
      0 is 776 mod 2,
      388 is 776 // 2,
      collatz(388, [388, 194, 97, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(776 > 1, builtin, [], []).
step(0 is 776 mod 2, builtin, [], []).
step(388 is 776 // 2, builtin, [], []).
step(collatz(388, [388, 194, 97, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 388,
      'J' = [194, 97, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 194],
     [388 > 1,
      0 is 388 mod 2,
      194 is 388 // 2,
      collatz(194, [194, 97, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(388 > 1, builtin, [], []).
step(0 is 388 mod 2, builtin, [], []).
step(194 is 388 // 2, builtin, [], []).
step(collatz(194, [194, 97, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 194,
      'J' = [97, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 97],
     [194 > 1,
      0 is 194 mod 2,
      97 is 194 // 2,
      collatz(97, [97, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(194 > 1, builtin, [], []).
step(0 is 194 mod 2, builtin, [], []).
step(97 is 194 // 2, builtin, [], []).
step(collatz(97, [97, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 97,
      'J' = [292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 291,
      'N1' = 292],
     [97 > 1,
      1 is 97 mod 2,
      291 is 3 * 97,
      292 is 291 + 1,
      collatz(292, [292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(97 > 1, builtin, [], []).
step(1 is 97 mod 2, builtin, [], []).
step(291 is 3 * 97, builtin, [], []).
step(292 is 291 + 1, builtin, [], []).
step(collatz(292, [292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 292,
      'J' = [146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 146],
     [292 > 1,
      0 is 292 mod 2,
      146 is 292 // 2,
      collatz(146, [146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(292 > 1, builtin, [], []).
step(0 is 292 mod 2, builtin, [], []).
step(146 is 292 // 2, builtin, [], []).
step(collatz(146, [146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 146,
      'J' = [73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 73],
     [146 > 1,
      0 is 146 mod 2,
      73 is 146 // 2,
      collatz(73, [73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(146 > 1, builtin, [], []).
step(0 is 146 mod 2, builtin, [], []).
step(73 is 146 // 2, builtin, [], []).
step(collatz(73, [73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 73,
      'J' = [220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 219,
      'N1' = 220],
     [73 > 1,
      1 is 73 mod 2,
      219 is 3 * 73,
      220 is 219 + 1,
      collatz(220, [220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(73 > 1, builtin, [], []).
step(1 is 73 mod 2, builtin, [], []).
step(219 is 3 * 73, builtin, [], []).
step(220 is 219 + 1, builtin, [], []).
step(collatz(220, [220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 220,
      'J' = [110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 110],
     [220 > 1,
      0 is 220 mod 2,
      110 is 220 // 2,
      collatz(110, [110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(220 > 1, builtin, [], []).
step(0 is 220 mod 2, builtin, [], []).
step(110 is 220 // 2, builtin, [], []).
step(collatz(110, [110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 110,
      'J' = [55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 55],
     [110 > 1,
      0 is 110 mod 2,
      55 is 110 // 2,
      collatz(55, [55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(110 > 1, builtin, [], []).
step(0 is 110 mod 2, builtin, [], []).
step(55 is 110 // 2, builtin, [], []).
step(collatz(55, [55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 55,
      'J' = [166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 165,
      'N1' = 166],
     [55 > 1,
      1 is 55 mod 2,
      165 is 3 * 55,
      166 is 165 + 1,
      collatz(166, [166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(55 > 1, builtin, [], []).
step(1 is 55 mod 2, builtin, [], []).
step(165 is 3 * 55, builtin, [], []).
step(166 is 165 + 1, builtin, [], []).
step(collatz(166, [166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 166,
      'J' = [83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 83],
     [166 > 1,
      0 is 166 mod 2,
      83 is 166 // 2,
      collatz(83, [83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(166 > 1, builtin, [], []).
step(0 is 166 mod 2, builtin, [], []).
step(83 is 166 // 2, builtin, [], []).
step(collatz(83, [83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 83,
      'J' = [250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 249,
      'N1' = 250],
     [83 > 1,
      1 is 83 mod 2,
      249 is 3 * 83,
      250 is 249 + 1,
      collatz(250, [250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(83 > 1, builtin, [], []).
step(1 is 83 mod 2, builtin, [], []).
step(249 is 3 * 83, builtin, [], []).
step(250 is 249 + 1, builtin, [], []).
step(collatzTrajectory(966, [966, 483, 1450, 725, 2176, 1088, 544, 272, 136, 68, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 966,
      'M' = [966, 483, 1450, 725, 2176, 1088, 544, 272, 136, 68, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 34],
     [repeat(1000, 34),
      966 is 1000 - 34,
      collatz(966, [966, 483, 1450, 725, 2176, 1088, 544, 272, 136, 68, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 34),
     rule(3),
     ['N' = 1000, 'I' = 34, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 34)]).
step(between(0, 999, 34), builtin, [], []).
step(966 is 1000 - 34, builtin, [], []).
step(collatz(966, [966, 483, 1450, 725, 2176, 1088, 544, 272, 136, 68, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 966,
      'J' = [483, 1450, 725, 2176, 1088, 544, 272, 136, 68, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 483],
     [966 > 1,
      0 is 966 mod 2,
      483 is 966 // 2,
      collatz(483, [483, 1450, 725, 2176, 1088, 544, 272, 136, 68, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(966 > 1, builtin, [], []).
step(0 is 966 mod 2, builtin, [], []).
step(483 is 966 // 2, builtin, [], []).
step(collatz(483, [483, 1450, 725, 2176, 1088, 544, 272, 136, 68, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 483,
      'J' = [1450, 725, 2176, 1088, 544, 272, 136, 68, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 1449,
      'N1' = 1450],
     [483 > 1,
      1 is 483 mod 2,
      1449 is 3 * 483,
      1450 is 1449 + 1,
      collatz(1450, [1450, 725, 2176, 1088, 544, 272, 136, 68, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(483 > 1, builtin, [], []).
step(1 is 483 mod 2, builtin, [], []).
step(1449 is 3 * 483, builtin, [], []).
step(1450 is 1449 + 1, builtin, [], []).
step(collatz(1450, [1450, 725, 2176, 1088, 544, 272, 136, 68, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1450,
      'J' = [725, 2176, 1088, 544, 272, 136, 68, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 725],
     [1450 > 1,
      0 is 1450 mod 2,
      725 is 1450 // 2,
      collatz(725, [725, 2176, 1088, 544, 272, 136, 68, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1450 > 1, builtin, [], []).
step(0 is 1450 mod 2, builtin, [], []).
step(725 is 1450 // 2, builtin, [], []).
step(collatz(725, [725, 2176, 1088, 544, 272, 136, 68, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 725,
      'J' = [2176, 1088, 544, 272, 136, 68, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 2175,
      'N1' = 2176],
     [725 > 1,
      1 is 725 mod 2,
      2175 is 3 * 725,
      2176 is 2175 + 1,
      collatz(2176, [2176, 1088, 544, 272, 136, 68, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(725 > 1, builtin, [], []).
step(1 is 725 mod 2, builtin, [], []).
step(2175 is 3 * 725, builtin, [], []).
step(2176 is 2175 + 1, builtin, [], []).
step(collatz(2176, [2176, 1088, 544, 272, 136, 68, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 2176,
      'J' = [1088, 544, 272, 136, 68, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1088],
     [2176 > 1,
      0 is 2176 mod 2,
      1088 is 2176 // 2,
      collatz(1088, [1088, 544, 272, 136, 68, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2176 > 1, builtin, [], []).
step(0 is 2176 mod 2, builtin, [], []).
step(1088 is 2176 // 2, builtin, [], []).
step(collatz(1088, [1088, 544, 272, 136, 68, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1088,
      'J' = [544, 272, 136, 68, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 544],
     [1088 > 1,
      0 is 1088 mod 2,
      544 is 1088 // 2,
      collatz(544, [544, 272, 136, 68, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1088 > 1, builtin, [], []).
step(0 is 1088 mod 2, builtin, [], []).
step(544 is 1088 // 2, builtin, [], []).
step(collatz(544, [544, 272, 136, 68, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 544,
      'J' = [272, 136, 68, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 272],
     [544 > 1,
      0 is 544 mod 2,
      272 is 544 // 2,
      collatz(272, [272, 136, 68, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(544 > 1, builtin, [], []).
step(0 is 544 mod 2, builtin, [], []).
step(272 is 544 // 2, builtin, [], []).
step(collatz(272, [272, 136, 68, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 272, 'J' = [136, 68, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1], 'N1' = 136],
     [272 > 1,
      0 is 272 mod 2,
      136 is 272 // 2,
      collatz(136, [136, 68, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(272 > 1, builtin, [], []).
step(0 is 272 mod 2, builtin, [], []).
step(136 is 272 // 2, builtin, [], []).
step(collatz(136, [136, 68, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 136, 'J' = [68, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1], 'N1' = 68],
     [136 > 1,
      0 is 136 mod 2,
      68 is 136 // 2,
      collatz(68, [68, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(136 > 1, builtin, [], []).
step(0 is 136 mod 2, builtin, [], []).
step(68 is 136 // 2, builtin, [], []).
step(collatz(68, [68, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 68, 'J' = [34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1], 'N1' = 34],
     [68 > 1,
      0 is 68 mod 2,
      34 is 68 // 2,
      collatz(34, [34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(68 > 1, builtin, [], []).
step(0 is 68 mod 2, builtin, [], []).
step(34 is 68 // 2, builtin, [], []).
step(collatzTrajectory(965, [965, 2896, 1448, 724, 362, 181, 544, 272, 136, 68, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 965,
      'M' = [965, 2896, 1448, 724, 362, 181, 544, 272, 136, 68, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 35],
     [repeat(1000, 35),
      965 is 1000 - 35,
      collatz(965, [965, 2896, 1448, 724, 362, 181, 544, 272, 136, 68, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 35),
     rule(3),
     ['N' = 1000, 'I' = 35, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 35)]).
step(between(0, 999, 35), builtin, [], []).
step(965 is 1000 - 35, builtin, [], []).
step(collatz(965, [965, 2896, 1448, 724, 362, 181, 544, 272, 136, 68, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 965,
      'J' = [2896, 1448, 724, 362, 181, 544, 272, 136, 68, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 2895,
      'N1' = 2896],
     [965 > 1,
      1 is 965 mod 2,
      2895 is 3 * 965,
      2896 is 2895 + 1,
      collatz(2896, [2896, 1448, 724, 362, 181, 544, 272, 136, 68, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(965 > 1, builtin, [], []).
step(1 is 965 mod 2, builtin, [], []).
step(2895 is 3 * 965, builtin, [], []).
step(2896 is 2895 + 1, builtin, [], []).
step(collatz(2896, [2896, 1448, 724, 362, 181, 544, 272, 136, 68, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 2896,
      'J' = [1448, 724, 362, 181, 544, 272, 136, 68, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1448],
     [2896 > 1,
      0 is 2896 mod 2,
      1448 is 2896 // 2,
      collatz(1448, [1448, 724, 362, 181, 544, 272, 136, 68, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2896 > 1, builtin, [], []).
step(0 is 2896 mod 2, builtin, [], []).
step(1448 is 2896 // 2, builtin, [], []).
step(collatz(1448, [1448, 724, 362, 181, 544, 272, 136, 68, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1448,
      'J' = [724, 362, 181, 544, 272, 136, 68, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 724],
     [1448 > 1,
      0 is 1448 mod 2,
      724 is 1448 // 2,
      collatz(724, [724, 362, 181, 544, 272, 136, 68, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1448 > 1, builtin, [], []).
step(0 is 1448 mod 2, builtin, [], []).
step(724 is 1448 // 2, builtin, [], []).
step(collatz(724, [724, 362, 181, 544, 272, 136, 68, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 724,
      'J' = [362, 181, 544, 272, 136, 68, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 362],
     [724 > 1,
      0 is 724 mod 2,
      362 is 724 // 2,
      collatz(362, [362, 181, 544, 272, 136, 68, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(724 > 1, builtin, [], []).
step(0 is 724 mod 2, builtin, [], []).
step(362 is 724 // 2, builtin, [], []).
step(collatz(362, [362, 181, 544, 272, 136, 68, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 362,
      'J' = [181, 544, 272, 136, 68, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 181],
     [362 > 1,
      0 is 362 mod 2,
      181 is 362 // 2,
      collatz(181, [181, 544, 272, 136, 68, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(362 > 1, builtin, [], []).
step(0 is 362 mod 2, builtin, [], []).
step(181 is 362 // 2, builtin, [], []).
step(collatz(181, [181, 544, 272, 136, 68, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 181,
      'J' = [544, 272, 136, 68, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 543,
      'N1' = 544],
     [181 > 1,
      1 is 181 mod 2,
      543 is 3 * 181,
      544 is 543 + 1,
      collatz(544, [544, 272, 136, 68, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(181 > 1, builtin, [], []).
step(1 is 181 mod 2, builtin, [], []).
step(543 is 3 * 181, builtin, [], []).
step(544 is 543 + 1, builtin, [], []).
step(collatzTrajectory(964, [964, 482, 241, 724, 362, 181, 544, 272, 136, 68, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 964,
      'M' = [964, 482, 241, 724, 362, 181, 544, 272, 136, 68, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 36],
     [repeat(1000, 36),
      964 is 1000 - 36,
      collatz(964, [964, 482, 241, 724, 362, 181, 544, 272, 136, 68, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 36),
     rule(3),
     ['N' = 1000, 'I' = 36, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 36)]).
step(between(0, 999, 36), builtin, [], []).
step(964 is 1000 - 36, builtin, [], []).
step(collatz(964, [964, 482, 241, 724, 362, 181, 544, 272, 136, 68, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 964,
      'J' = [482, 241, 724, 362, 181, 544, 272, 136, 68, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 482],
     [964 > 1,
      0 is 964 mod 2,
      482 is 964 // 2,
      collatz(482, [482, 241, 724, 362, 181, 544, 272, 136, 68, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(964 > 1, builtin, [], []).
step(0 is 964 mod 2, builtin, [], []).
step(482 is 964 // 2, builtin, [], []).
step(collatz(482, [482, 241, 724, 362, 181, 544, 272, 136, 68, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 482,
      'J' = [241, 724, 362, 181, 544, 272, 136, 68, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 241],
     [482 > 1,
      0 is 482 mod 2,
      241 is 482 // 2,
      collatz(241, [241, 724, 362, 181, 544, 272, 136, 68, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(482 > 1, builtin, [], []).
step(0 is 482 mod 2, builtin, [], []).
step(241 is 482 // 2, builtin, [], []).
step(collatz(241, [241, 724, 362, 181, 544, 272, 136, 68, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 241,
      'J' = [724, 362, 181, 544, 272, 136, 68, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 723,
      'N1' = 724],
     [241 > 1,
      1 is 241 mod 2,
      723 is 3 * 241,
      724 is 723 + 1,
      collatz(724, [724, 362, 181, 544, 272, 136, 68, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(241 > 1, builtin, [], []).
step(1 is 241 mod 2, builtin, [], []).
step(723 is 3 * 241, builtin, [], []).
step(724 is 723 + 1, builtin, [], []).
step(collatzTrajectory(963, [963, 2890, 1445, 4336, 2168, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 963,
      'M' = [963, 2890, 1445, 4336, 2168, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 37],
     [repeat(1000, 37),
      963 is 1000 - 37,
      collatz(963, [963, 2890, 1445, 4336, 2168, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 37),
     rule(3),
     ['N' = 1000, 'I' = 37, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 37)]).
step(between(0, 999, 37), builtin, [], []).
step(963 is 1000 - 37, builtin, [], []).
step(collatz(963, [963, 2890, 1445, 4336, 2168, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 963,
      'J' = [2890, 1445, 4336, 2168, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 2889,
      'N1' = 2890],
     [963 > 1,
      1 is 963 mod 2,
      2889 is 3 * 963,
      2890 is 2889 + 1,
      collatz(2890, [2890, 1445, 4336, 2168, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(963 > 1, builtin, [], []).
step(1 is 963 mod 2, builtin, [], []).
step(2889 is 3 * 963, builtin, [], []).
step(2890 is 2889 + 1, builtin, [], []).
step(collatz(2890, [2890, 1445, 4336, 2168, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 2890,
      'J' = [1445, 4336, 2168, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1445],
     [2890 > 1,
      0 is 2890 mod 2,
      1445 is 2890 // 2,
      collatz(1445, [1445, 4336, 2168, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2890 > 1, builtin, [], []).
step(0 is 2890 mod 2, builtin, [], []).
step(1445 is 2890 // 2, builtin, [], []).
step(collatz(1445, [1445, 4336, 2168, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 1445,
      'J' = [4336, 2168, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 4335,
      'N1' = 4336],
     [1445 > 1,
      1 is 1445 mod 2,
      4335 is 3 * 1445,
      4336 is 4335 + 1,
      collatz(4336, [4336, 2168, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1445 > 1, builtin, [], []).
step(1 is 1445 mod 2, builtin, [], []).
step(4335 is 3 * 1445, builtin, [], []).
step(4336 is 4335 + 1, builtin, [], []).
step(collatz(4336, [4336, 2168, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 4336,
      'J' = [2168, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 2168],
     [4336 > 1,
      0 is 4336 mod 2,
      2168 is 4336 // 2,
      collatz(2168, [2168, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(4336 > 1, builtin, [], []).
step(0 is 4336 mod 2, builtin, [], []).
step(2168 is 4336 // 2, builtin, [], []).
step(collatz(2168, [2168, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 2168,
      'J' = [1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1084],
     [2168 > 1,
      0 is 2168 mod 2,
      1084 is 2168 // 2,
      collatz(1084, [1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2168 > 1, builtin, [], []).
step(0 is 2168 mod 2, builtin, [], []).
step(1084 is 2168 // 2, builtin, [], []).
step(collatzTrajectory(962, [962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 962,
      'M' = [962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 38],
     [repeat(1000, 38),
      962 is 1000 - 38,
      collatz(962, [962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 38),
     rule(3),
     ['N' = 1000, 'I' = 38, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 38)]).
step(between(0, 999, 38), builtin, [], []).
step(962 is 1000 - 38, builtin, [], []).
step(collatzTrajectory(961, [961, 2884, 1442, 721, 2164, 1082, 541, 1624, 812, 406, 203, 610, 305, 916, 458, 229, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 961,
      'M' = [961, 2884, 1442, 721, 2164, 1082, 541, 1624, 812, 406, 203, 610, 305, 916, 458, 229, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 39],
     [repeat(1000, 39),
      961 is 1000 - 39,
      collatz(961, [961, 2884, 1442, 721, 2164, 1082, 541, 1624, 812, 406, 203, 610, 305, 916, 458, 229, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 39),
     rule(3),
     ['N' = 1000, 'I' = 39, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 39)]).
step(between(0, 999, 39), builtin, [], []).
step(961 is 1000 - 39, builtin, [], []).
step(collatz(961, [961, 2884, 1442, 721, 2164, 1082, 541, 1624, 812, 406, 203, 610, 305, 916, 458, 229, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 961,
      'J' = [2884, 1442, 721, 2164, 1082, 541, 1624, 812, 406, 203, 610, 305, 916, 458, 229, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 2883,
      'N1' = 2884],
     [961 > 1,
      1 is 961 mod 2,
      2883 is 3 * 961,
      2884 is 2883 + 1,
      collatz(2884, [2884, 1442, 721, 2164, 1082, 541, 1624, 812, 406, 203, 610, 305, 916, 458, 229, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(961 > 1, builtin, [], []).
step(1 is 961 mod 2, builtin, [], []).
step(2883 is 3 * 961, builtin, [], []).
step(2884 is 2883 + 1, builtin, [], []).
step(collatz(2884, [2884, 1442, 721, 2164, 1082, 541, 1624, 812, 406, 203, 610, 305, 916, 458, 229, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 2884,
      'J' = [1442, 721, 2164, 1082, 541, 1624, 812, 406, 203, 610, 305, 916, 458, 229, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1442],
     [2884 > 1,
      0 is 2884 mod 2,
      1442 is 2884 // 2,
      collatz(1442, [1442, 721, 2164, 1082, 541, 1624, 812, 406, 203, 610, 305, 916, 458, 229, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2884 > 1, builtin, [], []).
step(0 is 2884 mod 2, builtin, [], []).
step(1442 is 2884 // 2, builtin, [], []).
step(collatz(1442, [1442, 721, 2164, 1082, 541, 1624, 812, 406, 203, 610, 305, 916, 458, 229, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1442,
      'J' = [721, 2164, 1082, 541, 1624, 812, 406, 203, 610, 305, 916, 458, 229, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 721],
     [1442 > 1,
      0 is 1442 mod 2,
      721 is 1442 // 2,
      collatz(721, [721, 2164, 1082, 541, 1624, 812, 406, 203, 610, 305, 916, 458, 229, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1442 > 1, builtin, [], []).
step(0 is 1442 mod 2, builtin, [], []).
step(721 is 1442 // 2, builtin, [], []).
step(collatz(721, [721, 2164, 1082, 541, 1624, 812, 406, 203, 610, 305, 916, 458, 229, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 721,
      'J' = [2164, 1082, 541, 1624, 812, 406, 203, 610, 305, 916, 458, 229, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 2163,
      'N1' = 2164],
     [721 > 1,
      1 is 721 mod 2,
      2163 is 3 * 721,
      2164 is 2163 + 1,
      collatz(2164, [2164, 1082, 541, 1624, 812, 406, 203, 610, 305, 916, 458, 229, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(721 > 1, builtin, [], []).
step(1 is 721 mod 2, builtin, [], []).
step(2163 is 3 * 721, builtin, [], []).
step(2164 is 2163 + 1, builtin, [], []).
step(collatz(2164, [2164, 1082, 541, 1624, 812, 406, 203, 610, 305, 916, 458, 229, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 2164,
      'J' = [1082, 541, 1624, 812, 406, 203, 610, 305, 916, 458, 229, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1082],
     [2164 > 1,
      0 is 2164 mod 2,
      1082 is 2164 // 2,
      collatz(1082, [1082, 541, 1624, 812, 406, 203, 610, 305, 916, 458, 229, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2164 > 1, builtin, [], []).
step(0 is 2164 mod 2, builtin, [], []).
step(1082 is 2164 // 2, builtin, [], []).
step(collatz(1082, [1082, 541, 1624, 812, 406, 203, 610, 305, 916, 458, 229, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1082,
      'J' = [541, 1624, 812, 406, 203, 610, 305, 916, 458, 229, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 541],
     [1082 > 1,
      0 is 1082 mod 2,
      541 is 1082 // 2,
      collatz(541, [541, 1624, 812, 406, 203, 610, 305, 916, 458, 229, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1082 > 1, builtin, [], []).
step(0 is 1082 mod 2, builtin, [], []).
step(541 is 1082 // 2, builtin, [], []).
step(collatz(541, [541, 1624, 812, 406, 203, 610, 305, 916, 458, 229, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 541,
      'J' = [1624, 812, 406, 203, 610, 305, 916, 458, 229, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 1623,
      'N1' = 1624],
     [541 > 1,
      1 is 541 mod 2,
      1623 is 3 * 541,
      1624 is 1623 + 1,
      collatz(1624, [1624, 812, 406, 203, 610, 305, 916, 458, 229, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(541 > 1, builtin, [], []).
step(1 is 541 mod 2, builtin, [], []).
step(1623 is 3 * 541, builtin, [], []).
step(1624 is 1623 + 1, builtin, [], []).
step(collatz(1624, [1624, 812, 406, 203, 610, 305, 916, 458, 229, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1624,
      'J' = [812, 406, 203, 610, 305, 916, 458, 229, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 812],
     [1624 > 1,
      0 is 1624 mod 2,
      812 is 1624 // 2,
      collatz(812, [812, 406, 203, 610, 305, 916, 458, 229, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1624 > 1, builtin, [], []).
step(0 is 1624 mod 2, builtin, [], []).
step(812 is 1624 // 2, builtin, [], []).
step(collatz(812, [812, 406, 203, 610, 305, 916, 458, 229, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 812,
      'J' = [406, 203, 610, 305, 916, 458, 229, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 406],
     [812 > 1,
      0 is 812 mod 2,
      406 is 812 // 2,
      collatz(406, [406, 203, 610, 305, 916, 458, 229, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(812 > 1, builtin, [], []).
step(0 is 812 mod 2, builtin, [], []).
step(406 is 812 // 2, builtin, [], []).
step(collatz(406, [406, 203, 610, 305, 916, 458, 229, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 406,
      'J' = [203, 610, 305, 916, 458, 229, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 203],
     [406 > 1,
      0 is 406 mod 2,
      203 is 406 // 2,
      collatz(203, [203, 610, 305, 916, 458, 229, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(406 > 1, builtin, [], []).
step(0 is 406 mod 2, builtin, [], []).
step(203 is 406 // 2, builtin, [], []).
step(collatz(203, [203, 610, 305, 916, 458, 229, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 203,
      'J' = [610, 305, 916, 458, 229, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 609,
      'N1' = 610],
     [203 > 1,
      1 is 203 mod 2,
      609 is 3 * 203,
      610 is 609 + 1,
      collatz(610, [610, 305, 916, 458, 229, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(203 > 1, builtin, [], []).
step(1 is 203 mod 2, builtin, [], []).
step(609 is 3 * 203, builtin, [], []).
step(610 is 609 + 1, builtin, [], []).
step(collatz(610, [610, 305, 916, 458, 229, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 610,
      'J' = [305, 916, 458, 229, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 305],
     [610 > 1,
      0 is 610 mod 2,
      305 is 610 // 2,
      collatz(305, [305, 916, 458, 229, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(610 > 1, builtin, [], []).
step(0 is 610 mod 2, builtin, [], []).
step(305 is 610 // 2, builtin, [], []).
step(collatz(305, [305, 916, 458, 229, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 305,
      'J' = [916, 458, 229, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 915,
      'N1' = 916],
     [305 > 1,
      1 is 305 mod 2,
      915 is 3 * 305,
      916 is 915 + 1,
      collatz(916, [916, 458, 229, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(305 > 1, builtin, [], []).
step(1 is 305 mod 2, builtin, [], []).
step(915 is 3 * 305, builtin, [], []).
step(916 is 915 + 1, builtin, [], []).
step(collatz(916, [916, 458, 229, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 916,
      'J' = [458, 229, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 458],
     [916 > 1,
      0 is 916 mod 2,
      458 is 916 // 2,
      collatz(458, [458, 229, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(916 > 1, builtin, [], []).
step(0 is 916 mod 2, builtin, [], []).
step(458 is 916 // 2, builtin, [], []).
step(collatz(458, [458, 229, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 458,
      'J' = [229, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 229],
     [458 > 1,
      0 is 458 mod 2,
      229 is 458 // 2,
      collatz(229, [229, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(458 > 1, builtin, [], []).
step(0 is 458 mod 2, builtin, [], []).
step(229 is 458 // 2, builtin, [], []).
step(collatz(229, [229, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 229,
      'J' = [688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 687,
      'N1' = 688],
     [229 > 1,
      1 is 229 mod 2,
      687 is 3 * 229,
      688 is 687 + 1,
      collatz(688, [688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(229 > 1, builtin, [], []).
step(1 is 229 mod 2, builtin, [], []).
step(687 is 3 * 229, builtin, [], []).
step(688 is 687 + 1, builtin, [], []).
step(collatzTrajectory(960, [960, 480, 240, 120, 60, 30, 15, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 960,
      'M' = [960, 480, 240, 120, 60, 30, 15, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 40],
     [repeat(1000, 40),
      960 is 1000 - 40,
      collatz(960, [960, 480, 240, 120, 60, 30, 15, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 40),
     rule(3),
     ['N' = 1000, 'I' = 40, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 40)]).
step(between(0, 999, 40), builtin, [], []).
step(960 is 1000 - 40, builtin, [], []).
step(collatz(960, [960, 480, 240, 120, 60, 30, 15, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 960,
      'J' = [480, 240, 120, 60, 30, 15, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 480],
     [960 > 1,
      0 is 960 mod 2,
      480 is 960 // 2,
      collatz(480, [480, 240, 120, 60, 30, 15, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(960 > 1, builtin, [], []).
step(0 is 960 mod 2, builtin, [], []).
step(480 is 960 // 2, builtin, [], []).
step(collatz(480, [480, 240, 120, 60, 30, 15, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 480,
      'J' = [240, 120, 60, 30, 15, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 240],
     [480 > 1,
      0 is 480 mod 2,
      240 is 480 // 2,
      collatz(240, [240, 120, 60, 30, 15, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(480 > 1, builtin, [], []).
step(0 is 480 mod 2, builtin, [], []).
step(240 is 480 // 2, builtin, [], []).
step(collatz(240, [240, 120, 60, 30, 15, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 240,
      'J' = [120, 60, 30, 15, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 120],
     [240 > 1,
      0 is 240 mod 2,
      120 is 240 // 2,
      collatz(120, [120, 60, 30, 15, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(240 > 1, builtin, [], []).
step(0 is 240 mod 2, builtin, [], []).
step(120 is 240 // 2, builtin, [], []).
step(collatz(120, [120, 60, 30, 15, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 120,
      'J' = [60, 30, 15, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 60],
     [120 > 1,
      0 is 120 mod 2,
      60 is 120 // 2,
      collatz(60, [60, 30, 15, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(120 > 1, builtin, [], []).
step(0 is 120 mod 2, builtin, [], []).
step(60 is 120 // 2, builtin, [], []).
step(collatz(60, [60, 30, 15, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 60,
      'J' = [30, 15, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 30],
     [60 > 1,
      0 is 60 mod 2,
      30 is 60 // 2,
      collatz(30, [30, 15, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(60 > 1, builtin, [], []).
step(0 is 60 mod 2, builtin, [], []).
step(30 is 60 // 2, builtin, [], []).
step(collatz(30, [30, 15, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 30,
      'J' = [15, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 15],
     [30 > 1,
      0 is 30 mod 2,
      15 is 30 // 2,
      collatz(15, [15, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(30 > 1, builtin, [], []).
step(0 is 30 mod 2, builtin, [], []).
step(15 is 30 // 2, builtin, [], []).
step(collatz(15, [15, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 15,
      'J' = [46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 45,
      'N1' = 46],
     [15 > 1,
      1 is 15 mod 2,
      45 is 3 * 15,
      46 is 45 + 1,
      collatz(46, [46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(15 > 1, builtin, [], []).
step(1 is 15 mod 2, builtin, [], []).
step(45 is 3 * 15, builtin, [], []).
step(46 is 45 + 1, builtin, [], []).
step(collatzTrajectory(959, [959, 2878, 1439, 4318, 2159, 6478, 3239, 9718, 4859, 14578, 7289, 21868, 10934, 5467, 16402, 8201, 24604, 12302, 6151, 18454, 9227, 27682, 13841, 41524, 20762, 10381, 31144, 15572, 7786, 3893, 11680, 5840, 2920, 1460, 730, 365, 1096, 548, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 959,
      'M' = [959, 2878, 1439, 4318, 2159, 6478, 3239, 9718, 4859, 14578, 7289, 21868, 10934, 5467, 16402, 8201, 24604, 12302, 6151, 18454, 9227, 27682, 13841, 41524, 20762, 10381, 31144, 15572, 7786, 3893, 11680, 5840, 2920, 1460, 730, 365, 1096, 548, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 41],
     [repeat(1000, 41),
      959 is 1000 - 41,
      collatz(959, [959, 2878, 1439, 4318, 2159, 6478, 3239, 9718, 4859, 14578, 7289, 21868, 10934, 5467, 16402, 8201, 24604, 12302, 6151, 18454, 9227, 27682, 13841, 41524, 20762, 10381, 31144, 15572, 7786, 3893, 11680, 5840, 2920, 1460, 730, 365, 1096, 548, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 41),
     rule(3),
     ['N' = 1000, 'I' = 41, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 41)]).
step(between(0, 999, 41), builtin, [], []).
step(959 is 1000 - 41, builtin, [], []).
step(collatz(959, [959, 2878, 1439, 4318, 2159, 6478, 3239, 9718, 4859, 14578, 7289, 21868, 10934, 5467, 16402, 8201, 24604, 12302, 6151, 18454, 9227, 27682, 13841, 41524, 20762, 10381, 31144, 15572, 7786, 3893, 11680, 5840, 2920, 1460, 730, 365, 1096, 548, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 959,
      'J' = [2878, 1439, 4318, 2159, 6478, 3239, 9718, 4859, 14578, 7289, 21868, 10934, 5467, 16402, 8201, 24604, 12302, 6151, 18454, 9227, 27682, 13841, 41524, 20762, 10381, 31144, 15572, 7786, 3893, 11680, 5840, 2920, 1460, 730, 365, 1096, 548, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 2877,
      'N1' = 2878],
     [959 > 1,
      1 is 959 mod 2,
      2877 is 3 * 959,
      2878 is 2877 + 1,
      collatz(2878, [2878, 1439, 4318, 2159, 6478, 3239, 9718, 4859, 14578, 7289, 21868, 10934, 5467, 16402, 8201, 24604, 12302, 6151, 18454, 9227, 27682, 13841, 41524, 20762, 10381, 31144, 15572, 7786, 3893, 11680, 5840, 2920, 1460, 730, 365, 1096, 548, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(959 > 1, builtin, [], []).
step(1 is 959 mod 2, builtin, [], []).
step(2877 is 3 * 959, builtin, [], []).
step(2878 is 2877 + 1, builtin, [], []).
step(collatz(2878, [2878, 1439, 4318, 2159, 6478, 3239, 9718, 4859, 14578, 7289, 21868, 10934, 5467, 16402, 8201, 24604, 12302, 6151, 18454, 9227, 27682, 13841, 41524, 20762, 10381, 31144, 15572, 7786, 3893, 11680, 5840, 2920, 1460, 730, 365, 1096, 548, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 2878,
      'J' = [1439, 4318, 2159, 6478, 3239, 9718, 4859, 14578, 7289, 21868, 10934, 5467, 16402, 8201, 24604, 12302, 6151, 18454, 9227, 27682, 13841, 41524, 20762, 10381, 31144, 15572, 7786, 3893, 11680, 5840, 2920, 1460, 730, 365, 1096, 548, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1439],
     [2878 > 1,
      0 is 2878 mod 2,
      1439 is 2878 // 2,
      collatz(1439, [1439, 4318, 2159, 6478, 3239, 9718, 4859, 14578, 7289, 21868, 10934, 5467, 16402, 8201, 24604, 12302, 6151, 18454, 9227, 27682, 13841, 41524, 20762, 10381, 31144, 15572, 7786, 3893, 11680, 5840, 2920, 1460, 730, 365, 1096, 548, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2878 > 1, builtin, [], []).
step(0 is 2878 mod 2, builtin, [], []).
step(1439 is 2878 // 2, builtin, [], []).
step(collatz(1439, [1439, 4318, 2159, 6478, 3239, 9718, 4859, 14578, 7289, 21868, 10934, 5467, 16402, 8201, 24604, 12302, 6151, 18454, 9227, 27682, 13841, 41524, 20762, 10381, 31144, 15572, 7786, 3893, 11680, 5840, 2920, 1460, 730, 365, 1096, 548, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 1439,
      'J' = [4318, 2159, 6478, 3239, 9718, 4859, 14578, 7289, 21868, 10934, 5467, 16402, 8201, 24604, 12302, 6151, 18454, 9227, 27682, 13841, 41524, 20762, 10381, 31144, 15572, 7786, 3893, 11680, 5840, 2920, 1460, 730, 365, 1096, 548, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 4317,
      'N1' = 4318],
     [1439 > 1,
      1 is 1439 mod 2,
      4317 is 3 * 1439,
      4318 is 4317 + 1,
      collatz(4318, [4318, 2159, 6478, 3239, 9718, 4859, 14578, 7289, 21868, 10934, 5467, 16402, 8201, 24604, 12302, 6151, 18454, 9227, 27682, 13841, 41524, 20762, 10381, 31144, 15572, 7786, 3893, 11680, 5840, 2920, 1460, 730, 365, 1096, 548, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1439 > 1, builtin, [], []).
step(1 is 1439 mod 2, builtin, [], []).
step(4317 is 3 * 1439, builtin, [], []).
step(4318 is 4317 + 1, builtin, [], []).
step(collatz(4318, [4318, 2159, 6478, 3239, 9718, 4859, 14578, 7289, 21868, 10934, 5467, 16402, 8201, 24604, 12302, 6151, 18454, 9227, 27682, 13841, 41524, 20762, 10381, 31144, 15572, 7786, 3893, 11680, 5840, 2920, 1460, 730, 365, 1096, 548, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 4318,
      'J' = [2159, 6478, 3239, 9718, 4859, 14578, 7289, 21868, 10934, 5467, 16402, 8201, 24604, 12302, 6151, 18454, 9227, 27682, 13841, 41524, 20762, 10381, 31144, 15572, 7786, 3893, 11680, 5840, 2920, 1460, 730, 365, 1096, 548, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 2159],
     [4318 > 1,
      0 is 4318 mod 2,
      2159 is 4318 // 2,
      collatz(2159, [2159, 6478, 3239, 9718, 4859, 14578, 7289, 21868, 10934, 5467, 16402, 8201, 24604, 12302, 6151, 18454, 9227, 27682, 13841, 41524, 20762, 10381, 31144, 15572, 7786, 3893, 11680, 5840, 2920, 1460, 730, 365, 1096, 548, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(4318 > 1, builtin, [], []).
step(0 is 4318 mod 2, builtin, [], []).
step(2159 is 4318 // 2, builtin, [], []).
step(collatz(2159, [2159, 6478, 3239, 9718, 4859, 14578, 7289, 21868, 10934, 5467, 16402, 8201, 24604, 12302, 6151, 18454, 9227, 27682, 13841, 41524, 20762, 10381, 31144, 15572, 7786, 3893, 11680, 5840, 2920, 1460, 730, 365, 1096, 548, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 2159,
      'J' = [6478, 3239, 9718, 4859, 14578, 7289, 21868, 10934, 5467, 16402, 8201, 24604, 12302, 6151, 18454, 9227, 27682, 13841, 41524, 20762, 10381, 31144, 15572, 7786, 3893, 11680, 5840, 2920, 1460, 730, 365, 1096, 548, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 6477,
      'N1' = 6478],
     [2159 > 1,
      1 is 2159 mod 2,
      6477 is 3 * 2159,
      6478 is 6477 + 1,
      collatz(6478, [6478, 3239, 9718, 4859, 14578, 7289, 21868, 10934, 5467, 16402, 8201, 24604, 12302, 6151, 18454, 9227, 27682, 13841, 41524, 20762, 10381, 31144, 15572, 7786, 3893, 11680, 5840, 2920, 1460, 730, 365, 1096, 548, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2159 > 1, builtin, [], []).
step(1 is 2159 mod 2, builtin, [], []).
step(6477 is 3 * 2159, builtin, [], []).
step(6478 is 6477 + 1, builtin, [], []).
step(collatz(6478, [6478, 3239, 9718, 4859, 14578, 7289, 21868, 10934, 5467, 16402, 8201, 24604, 12302, 6151, 18454, 9227, 27682, 13841, 41524, 20762, 10381, 31144, 15572, 7786, 3893, 11680, 5840, 2920, 1460, 730, 365, 1096, 548, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 6478,
      'J' = [3239, 9718, 4859, 14578, 7289, 21868, 10934, 5467, 16402, 8201, 24604, 12302, 6151, 18454, 9227, 27682, 13841, 41524, 20762, 10381, 31144, 15572, 7786, 3893, 11680, 5840, 2920, 1460, 730, 365, 1096, 548, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 3239],
     [6478 > 1,
      0 is 6478 mod 2,
      3239 is 6478 // 2,
      collatz(3239, [3239, 9718, 4859, 14578, 7289, 21868, 10934, 5467, 16402, 8201, 24604, 12302, 6151, 18454, 9227, 27682, 13841, 41524, 20762, 10381, 31144, 15572, 7786, 3893, 11680, 5840, 2920, 1460, 730, 365, 1096, 548, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(6478 > 1, builtin, [], []).
step(0 is 6478 mod 2, builtin, [], []).
step(3239 is 6478 // 2, builtin, [], []).
step(collatz(3239, [3239, 9718, 4859, 14578, 7289, 21868, 10934, 5467, 16402, 8201, 24604, 12302, 6151, 18454, 9227, 27682, 13841, 41524, 20762, 10381, 31144, 15572, 7786, 3893, 11680, 5840, 2920, 1460, 730, 365, 1096, 548, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 3239,
      'J' = [9718, 4859, 14578, 7289, 21868, 10934, 5467, 16402, 8201, 24604, 12302, 6151, 18454, 9227, 27682, 13841, 41524, 20762, 10381, 31144, 15572, 7786, 3893, 11680, 5840, 2920, 1460, 730, 365, 1096, 548, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 9717,
      'N1' = 9718],
     [3239 > 1,
      1 is 3239 mod 2,
      9717 is 3 * 3239,
      9718 is 9717 + 1,
      collatz(9718, [9718, 4859, 14578, 7289, 21868, 10934, 5467, 16402, 8201, 24604, 12302, 6151, 18454, 9227, 27682, 13841, 41524, 20762, 10381, 31144, 15572, 7786, 3893, 11680, 5840, 2920, 1460, 730, 365, 1096, 548, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(3239 > 1, builtin, [], []).
step(1 is 3239 mod 2, builtin, [], []).
step(9717 is 3 * 3239, builtin, [], []).
step(9718 is 9717 + 1, builtin, [], []).
step(collatz(9718, [9718, 4859, 14578, 7289, 21868, 10934, 5467, 16402, 8201, 24604, 12302, 6151, 18454, 9227, 27682, 13841, 41524, 20762, 10381, 31144, 15572, 7786, 3893, 11680, 5840, 2920, 1460, 730, 365, 1096, 548, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 9718,
      'J' = [4859, 14578, 7289, 21868, 10934, 5467, 16402, 8201, 24604, 12302, 6151, 18454, 9227, 27682, 13841, 41524, 20762, 10381, 31144, 15572, 7786, 3893, 11680, 5840, 2920, 1460, 730, 365, 1096, 548, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 4859],
     [9718 > 1,
      0 is 9718 mod 2,
      4859 is 9718 // 2,
      collatz(4859, [4859, 14578, 7289, 21868, 10934, 5467, 16402, 8201, 24604, 12302, 6151, 18454, 9227, 27682, 13841, 41524, 20762, 10381, 31144, 15572, 7786, 3893, 11680, 5840, 2920, 1460, 730, 365, 1096, 548, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(9718 > 1, builtin, [], []).
step(0 is 9718 mod 2, builtin, [], []).
step(4859 is 9718 // 2, builtin, [], []).
step(collatz(4859, [4859, 14578, 7289, 21868, 10934, 5467, 16402, 8201, 24604, 12302, 6151, 18454, 9227, 27682, 13841, 41524, 20762, 10381, 31144, 15572, 7786, 3893, 11680, 5840, 2920, 1460, 730, 365, 1096, 548, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 4859,
      'J' = [14578, 7289, 21868, 10934, 5467, 16402, 8201, 24604, 12302, 6151, 18454, 9227, 27682, 13841, 41524, 20762, 10381, 31144, 15572, 7786, 3893, 11680, 5840, 2920, 1460, 730, 365, 1096, 548, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 14577,
      'N1' = 14578],
     [4859 > 1,
      1 is 4859 mod 2,
      14577 is 3 * 4859,
      14578 is 14577 + 1,
      collatz(14578, [14578, 7289, 21868, 10934, 5467, 16402, 8201, 24604, 12302, 6151, 18454, 9227, 27682, 13841, 41524, 20762, 10381, 31144, 15572, 7786, 3893, 11680, 5840, 2920, 1460, 730, 365, 1096, 548, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(4859 > 1, builtin, [], []).
step(1 is 4859 mod 2, builtin, [], []).
step(14577 is 3 * 4859, builtin, [], []).
step(14578 is 14577 + 1, builtin, [], []).
step(collatz(14578, [14578, 7289, 21868, 10934, 5467, 16402, 8201, 24604, 12302, 6151, 18454, 9227, 27682, 13841, 41524, 20762, 10381, 31144, 15572, 7786, 3893, 11680, 5840, 2920, 1460, 730, 365, 1096, 548, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 14578,
      'J' = [7289, 21868, 10934, 5467, 16402, 8201, 24604, 12302, 6151, 18454, 9227, 27682, 13841, 41524, 20762, 10381, 31144, 15572, 7786, 3893, 11680, 5840, 2920, 1460, 730, 365, 1096, 548, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 7289],
     [14578 > 1,
      0 is 14578 mod 2,
      7289 is 14578 // 2,
      collatz(7289, [7289, 21868, 10934, 5467, 16402, 8201, 24604, 12302, 6151, 18454, 9227, 27682, 13841, 41524, 20762, 10381, 31144, 15572, 7786, 3893, 11680, 5840, 2920, 1460, 730, 365, 1096, 548, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(14578 > 1, builtin, [], []).
step(0 is 14578 mod 2, builtin, [], []).
step(7289 is 14578 // 2, builtin, [], []).
step(collatz(7289, [7289, 21868, 10934, 5467, 16402, 8201, 24604, 12302, 6151, 18454, 9227, 27682, 13841, 41524, 20762, 10381, 31144, 15572, 7786, 3893, 11680, 5840, 2920, 1460, 730, 365, 1096, 548, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 7289,
      'J' = [21868, 10934, 5467, 16402, 8201, 24604, 12302, 6151, 18454, 9227, 27682, 13841, 41524, 20762, 10381, 31144, 15572, 7786, 3893, 11680, 5840, 2920, 1460, 730, 365, 1096, 548, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 21867,
      'N1' = 21868],
     [7289 > 1,
      1 is 7289 mod 2,
      21867 is 3 * 7289,
      21868 is 21867 + 1,
      collatz(21868, [21868, 10934, 5467, 16402, 8201, 24604, 12302, 6151, 18454, 9227, 27682, 13841, 41524, 20762, 10381, 31144, 15572, 7786, 3893, 11680, 5840, 2920, 1460, 730, 365, 1096, 548, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(7289 > 1, builtin, [], []).
step(1 is 7289 mod 2, builtin, [], []).
step(21867 is 3 * 7289, builtin, [], []).
step(21868 is 21867 + 1, builtin, [], []).
step(collatz(21868, [21868, 10934, 5467, 16402, 8201, 24604, 12302, 6151, 18454, 9227, 27682, 13841, 41524, 20762, 10381, 31144, 15572, 7786, 3893, 11680, 5840, 2920, 1460, 730, 365, 1096, 548, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 21868,
      'J' = [10934, 5467, 16402, 8201, 24604, 12302, 6151, 18454, 9227, 27682, 13841, 41524, 20762, 10381, 31144, 15572, 7786, 3893, 11680, 5840, 2920, 1460, 730, 365, 1096, 548, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 10934],
     [21868 > 1,
      0 is 21868 mod 2,
      10934 is 21868 // 2,
      collatz(10934, [10934, 5467, 16402, 8201, 24604, 12302, 6151, 18454, 9227, 27682, 13841, 41524, 20762, 10381, 31144, 15572, 7786, 3893, 11680, 5840, 2920, 1460, 730, 365, 1096, 548, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(21868 > 1, builtin, [], []).
step(0 is 21868 mod 2, builtin, [], []).
step(10934 is 21868 // 2, builtin, [], []).
step(collatz(10934, [10934, 5467, 16402, 8201, 24604, 12302, 6151, 18454, 9227, 27682, 13841, 41524, 20762, 10381, 31144, 15572, 7786, 3893, 11680, 5840, 2920, 1460, 730, 365, 1096, 548, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 10934,
      'J' = [5467, 16402, 8201, 24604, 12302, 6151, 18454, 9227, 27682, 13841, 41524, 20762, 10381, 31144, 15572, 7786, 3893, 11680, 5840, 2920, 1460, 730, 365, 1096, 548, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 5467],
     [10934 > 1,
      0 is 10934 mod 2,
      5467 is 10934 // 2,
      collatz(5467, [5467, 16402, 8201, 24604, 12302, 6151, 18454, 9227, 27682, 13841, 41524, 20762, 10381, 31144, 15572, 7786, 3893, 11680, 5840, 2920, 1460, 730, 365, 1096, 548, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(10934 > 1, builtin, [], []).
step(0 is 10934 mod 2, builtin, [], []).
step(5467 is 10934 // 2, builtin, [], []).
step(collatz(5467, [5467, 16402, 8201, 24604, 12302, 6151, 18454, 9227, 27682, 13841, 41524, 20762, 10381, 31144, 15572, 7786, 3893, 11680, 5840, 2920, 1460, 730, 365, 1096, 548, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 5467,
      'J' = [16402, 8201, 24604, 12302, 6151, 18454, 9227, 27682, 13841, 41524, 20762, 10381, 31144, 15572, 7786, 3893, 11680, 5840, 2920, 1460, 730, 365, 1096, 548, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 16401,
      'N1' = 16402],
     [5467 > 1,
      1 is 5467 mod 2,
      16401 is 3 * 5467,
      16402 is 16401 + 1,
      collatz(16402, [16402, 8201, 24604, 12302, 6151, 18454, 9227, 27682, 13841, 41524, 20762, 10381, 31144, 15572, 7786, 3893, 11680, 5840, 2920, 1460, 730, 365, 1096, 548, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(5467 > 1, builtin, [], []).
step(1 is 5467 mod 2, builtin, [], []).
step(16401 is 3 * 5467, builtin, [], []).
step(16402 is 16401 + 1, builtin, [], []).
step(collatz(16402, [16402, 8201, 24604, 12302, 6151, 18454, 9227, 27682, 13841, 41524, 20762, 10381, 31144, 15572, 7786, 3893, 11680, 5840, 2920, 1460, 730, 365, 1096, 548, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 16402,
      'J' = [8201, 24604, 12302, 6151, 18454, 9227, 27682, 13841, 41524, 20762, 10381, 31144, 15572, 7786, 3893, 11680, 5840, 2920, 1460, 730, 365, 1096, 548, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 8201],
     [16402 > 1,
      0 is 16402 mod 2,
      8201 is 16402 // 2,
      collatz(8201, [8201, 24604, 12302, 6151, 18454, 9227, 27682, 13841, 41524, 20762, 10381, 31144, 15572, 7786, 3893, 11680, 5840, 2920, 1460, 730, 365, 1096, 548, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(16402 > 1, builtin, [], []).
step(0 is 16402 mod 2, builtin, [], []).
step(8201 is 16402 // 2, builtin, [], []).
step(collatz(8201, [8201, 24604, 12302, 6151, 18454, 9227, 27682, 13841, 41524, 20762, 10381, 31144, 15572, 7786, 3893, 11680, 5840, 2920, 1460, 730, 365, 1096, 548, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 8201,
      'J' = [24604, 12302, 6151, 18454, 9227, 27682, 13841, 41524, 20762, 10381, 31144, 15572, 7786, 3893, 11680, 5840, 2920, 1460, 730, 365, 1096, 548, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 24603,
      'N1' = 24604],
     [8201 > 1,
      1 is 8201 mod 2,
      24603 is 3 * 8201,
      24604 is 24603 + 1,
      collatz(24604, [24604, 12302, 6151, 18454, 9227, 27682, 13841, 41524, 20762, 10381, 31144, 15572, 7786, 3893, 11680, 5840, 2920, 1460, 730, 365, 1096, 548, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(8201 > 1, builtin, [], []).
step(1 is 8201 mod 2, builtin, [], []).
step(24603 is 3 * 8201, builtin, [], []).
step(24604 is 24603 + 1, builtin, [], []).
step(collatz(24604, [24604, 12302, 6151, 18454, 9227, 27682, 13841, 41524, 20762, 10381, 31144, 15572, 7786, 3893, 11680, 5840, 2920, 1460, 730, 365, 1096, 548, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 24604,
      'J' = [12302, 6151, 18454, 9227, 27682, 13841, 41524, 20762, 10381, 31144, 15572, 7786, 3893, 11680, 5840, 2920, 1460, 730, 365, 1096, 548, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 12302],
     [24604 > 1,
      0 is 24604 mod 2,
      12302 is 24604 // 2,
      collatz(12302, [12302, 6151, 18454, 9227, 27682, 13841, 41524, 20762, 10381, 31144, 15572, 7786, 3893, 11680, 5840, 2920, 1460, 730, 365, 1096, 548, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(24604 > 1, builtin, [], []).
step(0 is 24604 mod 2, builtin, [], []).
step(12302 is 24604 // 2, builtin, [], []).
step(collatz(12302, [12302, 6151, 18454, 9227, 27682, 13841, 41524, 20762, 10381, 31144, 15572, 7786, 3893, 11680, 5840, 2920, 1460, 730, 365, 1096, 548, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 12302,
      'J' = [6151, 18454, 9227, 27682, 13841, 41524, 20762, 10381, 31144, 15572, 7786, 3893, 11680, 5840, 2920, 1460, 730, 365, 1096, 548, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 6151],
     [12302 > 1,
      0 is 12302 mod 2,
      6151 is 12302 // 2,
      collatz(6151, [6151, 18454, 9227, 27682, 13841, 41524, 20762, 10381, 31144, 15572, 7786, 3893, 11680, 5840, 2920, 1460, 730, 365, 1096, 548, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(12302 > 1, builtin, [], []).
step(0 is 12302 mod 2, builtin, [], []).
step(6151 is 12302 // 2, builtin, [], []).
step(collatz(6151, [6151, 18454, 9227, 27682, 13841, 41524, 20762, 10381, 31144, 15572, 7786, 3893, 11680, 5840, 2920, 1460, 730, 365, 1096, 548, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 6151,
      'J' = [18454, 9227, 27682, 13841, 41524, 20762, 10381, 31144, 15572, 7786, 3893, 11680, 5840, 2920, 1460, 730, 365, 1096, 548, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 18453,
      'N1' = 18454],
     [6151 > 1,
      1 is 6151 mod 2,
      18453 is 3 * 6151,
      18454 is 18453 + 1,
      collatz(18454, [18454, 9227, 27682, 13841, 41524, 20762, 10381, 31144, 15572, 7786, 3893, 11680, 5840, 2920, 1460, 730, 365, 1096, 548, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(6151 > 1, builtin, [], []).
step(1 is 6151 mod 2, builtin, [], []).
step(18453 is 3 * 6151, builtin, [], []).
step(18454 is 18453 + 1, builtin, [], []).
step(collatz(18454, [18454, 9227, 27682, 13841, 41524, 20762, 10381, 31144, 15572, 7786, 3893, 11680, 5840, 2920, 1460, 730, 365, 1096, 548, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 18454,
      'J' = [9227, 27682, 13841, 41524, 20762, 10381, 31144, 15572, 7786, 3893, 11680, 5840, 2920, 1460, 730, 365, 1096, 548, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 9227],
     [18454 > 1,
      0 is 18454 mod 2,
      9227 is 18454 // 2,
      collatz(9227, [9227, 27682, 13841, 41524, 20762, 10381, 31144, 15572, 7786, 3893, 11680, 5840, 2920, 1460, 730, 365, 1096, 548, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(18454 > 1, builtin, [], []).
step(0 is 18454 mod 2, builtin, [], []).
step(9227 is 18454 // 2, builtin, [], []).
step(collatz(9227, [9227, 27682, 13841, 41524, 20762, 10381, 31144, 15572, 7786, 3893, 11680, 5840, 2920, 1460, 730, 365, 1096, 548, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 9227,
      'J' = [27682, 13841, 41524, 20762, 10381, 31144, 15572, 7786, 3893, 11680, 5840, 2920, 1460, 730, 365, 1096, 548, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 27681,
      'N1' = 27682],
     [9227 > 1,
      1 is 9227 mod 2,
      27681 is 3 * 9227,
      27682 is 27681 + 1,
      collatz(27682, [27682, 13841, 41524, 20762, 10381, 31144, 15572, 7786, 3893, 11680, 5840, 2920, 1460, 730, 365, 1096, 548, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(9227 > 1, builtin, [], []).
step(1 is 9227 mod 2, builtin, [], []).
step(27681 is 3 * 9227, builtin, [], []).
step(27682 is 27681 + 1, builtin, [], []).
step(collatz(27682, [27682, 13841, 41524, 20762, 10381, 31144, 15572, 7786, 3893, 11680, 5840, 2920, 1460, 730, 365, 1096, 548, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 27682,
      'J' = [13841, 41524, 20762, 10381, 31144, 15572, 7786, 3893, 11680, 5840, 2920, 1460, 730, 365, 1096, 548, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 13841],
     [27682 > 1,
      0 is 27682 mod 2,
      13841 is 27682 // 2,
      collatz(13841, [13841, 41524, 20762, 10381, 31144, 15572, 7786, 3893, 11680, 5840, 2920, 1460, 730, 365, 1096, 548, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(27682 > 1, builtin, [], []).
step(0 is 27682 mod 2, builtin, [], []).
step(13841 is 27682 // 2, builtin, [], []).
step(collatz(13841, [13841, 41524, 20762, 10381, 31144, 15572, 7786, 3893, 11680, 5840, 2920, 1460, 730, 365, 1096, 548, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 13841,
      'J' = [41524, 20762, 10381, 31144, 15572, 7786, 3893, 11680, 5840, 2920, 1460, 730, 365, 1096, 548, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 41523,
      'N1' = 41524],
     [13841 > 1,
      1 is 13841 mod 2,
      41523 is 3 * 13841,
      41524 is 41523 + 1,
      collatz(41524, [41524, 20762, 10381, 31144, 15572, 7786, 3893, 11680, 5840, 2920, 1460, 730, 365, 1096, 548, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(13841 > 1, builtin, [], []).
step(1 is 13841 mod 2, builtin, [], []).
step(41523 is 3 * 13841, builtin, [], []).
step(41524 is 41523 + 1, builtin, [], []).
step(collatz(41524, [41524, 20762, 10381, 31144, 15572, 7786, 3893, 11680, 5840, 2920, 1460, 730, 365, 1096, 548, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 41524,
      'J' = [20762, 10381, 31144, 15572, 7786, 3893, 11680, 5840, 2920, 1460, 730, 365, 1096, 548, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 20762],
     [41524 > 1,
      0 is 41524 mod 2,
      20762 is 41524 // 2,
      collatz(20762, [20762, 10381, 31144, 15572, 7786, 3893, 11680, 5840, 2920, 1460, 730, 365, 1096, 548, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(41524 > 1, builtin, [], []).
step(0 is 41524 mod 2, builtin, [], []).
step(20762 is 41524 // 2, builtin, [], []).
step(collatz(20762, [20762, 10381, 31144, 15572, 7786, 3893, 11680, 5840, 2920, 1460, 730, 365, 1096, 548, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 20762,
      'J' = [10381, 31144, 15572, 7786, 3893, 11680, 5840, 2920, 1460, 730, 365, 1096, 548, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 10381],
     [20762 > 1,
      0 is 20762 mod 2,
      10381 is 20762 // 2,
      collatz(10381, [10381, 31144, 15572, 7786, 3893, 11680, 5840, 2920, 1460, 730, 365, 1096, 548, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(20762 > 1, builtin, [], []).
step(0 is 20762 mod 2, builtin, [], []).
step(10381 is 20762 // 2, builtin, [], []).
step(collatz(10381, [10381, 31144, 15572, 7786, 3893, 11680, 5840, 2920, 1460, 730, 365, 1096, 548, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 10381,
      'J' = [31144, 15572, 7786, 3893, 11680, 5840, 2920, 1460, 730, 365, 1096, 548, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 31143,
      'N1' = 31144],
     [10381 > 1,
      1 is 10381 mod 2,
      31143 is 3 * 10381,
      31144 is 31143 + 1,
      collatz(31144, [31144, 15572, 7786, 3893, 11680, 5840, 2920, 1460, 730, 365, 1096, 548, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(10381 > 1, builtin, [], []).
step(1 is 10381 mod 2, builtin, [], []).
step(31143 is 3 * 10381, builtin, [], []).
step(31144 is 31143 + 1, builtin, [], []).
step(collatz(31144, [31144, 15572, 7786, 3893, 11680, 5840, 2920, 1460, 730, 365, 1096, 548, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 31144,
      'J' = [15572, 7786, 3893, 11680, 5840, 2920, 1460, 730, 365, 1096, 548, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 15572],
     [31144 > 1,
      0 is 31144 mod 2,
      15572 is 31144 // 2,
      collatz(15572, [15572, 7786, 3893, 11680, 5840, 2920, 1460, 730, 365, 1096, 548, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(31144 > 1, builtin, [], []).
step(0 is 31144 mod 2, builtin, [], []).
step(15572 is 31144 // 2, builtin, [], []).
step(collatz(15572, [15572, 7786, 3893, 11680, 5840, 2920, 1460, 730, 365, 1096, 548, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 15572,
      'J' = [7786, 3893, 11680, 5840, 2920, 1460, 730, 365, 1096, 548, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 7786],
     [15572 > 1,
      0 is 15572 mod 2,
      7786 is 15572 // 2,
      collatz(7786, [7786, 3893, 11680, 5840, 2920, 1460, 730, 365, 1096, 548, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(15572 > 1, builtin, [], []).
step(0 is 15572 mod 2, builtin, [], []).
step(7786 is 15572 // 2, builtin, [], []).
step(collatz(7786, [7786, 3893, 11680, 5840, 2920, 1460, 730, 365, 1096, 548, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 7786,
      'J' = [3893, 11680, 5840, 2920, 1460, 730, 365, 1096, 548, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 3893],
     [7786 > 1,
      0 is 7786 mod 2,
      3893 is 7786 // 2,
      collatz(3893, [3893, 11680, 5840, 2920, 1460, 730, 365, 1096, 548, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(7786 > 1, builtin, [], []).
step(0 is 7786 mod 2, builtin, [], []).
step(3893 is 7786 // 2, builtin, [], []).
step(collatz(3893, [3893, 11680, 5840, 2920, 1460, 730, 365, 1096, 548, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 3893,
      'J' = [11680, 5840, 2920, 1460, 730, 365, 1096, 548, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 11679,
      'N1' = 11680],
     [3893 > 1,
      1 is 3893 mod 2,
      11679 is 3 * 3893,
      11680 is 11679 + 1,
      collatz(11680, [11680, 5840, 2920, 1460, 730, 365, 1096, 548, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(3893 > 1, builtin, [], []).
step(1 is 3893 mod 2, builtin, [], []).
step(11679 is 3 * 3893, builtin, [], []).
step(11680 is 11679 + 1, builtin, [], []).
step(collatz(11680, [11680, 5840, 2920, 1460, 730, 365, 1096, 548, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 11680,
      'J' = [5840, 2920, 1460, 730, 365, 1096, 548, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 5840],
     [11680 > 1,
      0 is 11680 mod 2,
      5840 is 11680 // 2,
      collatz(5840, [5840, 2920, 1460, 730, 365, 1096, 548, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(11680 > 1, builtin, [], []).
step(0 is 11680 mod 2, builtin, [], []).
step(5840 is 11680 // 2, builtin, [], []).
step(collatz(5840, [5840, 2920, 1460, 730, 365, 1096, 548, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 5840,
      'J' = [2920, 1460, 730, 365, 1096, 548, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 2920],
     [5840 > 1,
      0 is 5840 mod 2,
      2920 is 5840 // 2,
      collatz(2920, [2920, 1460, 730, 365, 1096, 548, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(5840 > 1, builtin, [], []).
step(0 is 5840 mod 2, builtin, [], []).
step(2920 is 5840 // 2, builtin, [], []).
step(collatzTrajectory(958, [958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 958,
      'M' = [958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 42],
     [repeat(1000, 42),
      958 is 1000 - 42,
      collatz(958, [958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 42),
     rule(3),
     ['N' = 1000, 'I' = 42, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 42)]).
step(between(0, 999, 42), builtin, [], []).
step(958 is 1000 - 42, builtin, [], []).
step(collatzTrajectory(957, [957, 2872, 1436, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 957,
      'M' = [957, 2872, 1436, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 43],
     [repeat(1000, 43),
      957 is 1000 - 43,
      collatz(957, [957, 2872, 1436, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 43),
     rule(3),
     ['N' = 1000, 'I' = 43, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 43)]).
step(between(0, 999, 43), builtin, [], []).
step(957 is 1000 - 43, builtin, [], []).
step(collatz(957, [957, 2872, 1436, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 957,
      'J' = [2872, 1436, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 2871,
      'N1' = 2872],
     [957 > 1,
      1 is 957 mod 2,
      2871 is 3 * 957,
      2872 is 2871 + 1,
      collatz(2872, [2872, 1436, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(957 > 1, builtin, [], []).
step(1 is 957 mod 2, builtin, [], []).
step(2871 is 3 * 957, builtin, [], []).
step(2872 is 2871 + 1, builtin, [], []).
step(collatz(2872, [2872, 1436, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 2872,
      'J' = [1436, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1436],
     [2872 > 1,
      0 is 2872 mod 2,
      1436 is 2872 // 2,
      collatz(1436, [1436, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2872 > 1, builtin, [], []).
step(0 is 2872 mod 2, builtin, [], []).
step(1436 is 2872 // 2, builtin, [], []).
step(collatz(1436, [1436, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1436,
      'J' = [718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 718],
     [1436 > 1,
      0 is 1436 mod 2,
      718 is 1436 // 2,
      collatz(718, [718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1436 > 1, builtin, [], []).
step(0 is 1436 mod 2, builtin, [], []).
step(718 is 1436 // 2, builtin, [], []).
step(collatzTrajectory(956, [956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 956,
      'M' = [956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 44],
     [repeat(1000, 44),
      956 is 1000 - 44,
      collatz(956, [956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 44),
     rule(3),
     ['N' = 1000, 'I' = 44, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 44)]).
step(between(0, 999, 44), builtin, [], []).
step(956 is 1000 - 44, builtin, [], []).
step(collatzTrajectory(955, [955, 2866, 1433, 4300, 2150, 1075, 3226, 1613, 4840, 2420, 1210, 605, 1816, 908, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 955,
      'M' = [955, 2866, 1433, 4300, 2150, 1075, 3226, 1613, 4840, 2420, 1210, 605, 1816, 908, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1],
      'N0' = 45],
     [repeat(1000, 45),
      955 is 1000 - 45,
      collatz(955, [955, 2866, 1433, 4300, 2150, 1075, 3226, 1613, 4840, 2420, 1210, 605, 1816, 908, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1])]).
step(repeat(1000, 45),
     rule(3),
     ['N' = 1000, 'I' = 45, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 45)]).
step(between(0, 999, 45), builtin, [], []).
step(955 is 1000 - 45, builtin, [], []).
step(collatz(955, [955, 2866, 1433, 4300, 2150, 1075, 3226, 1613, 4840, 2420, 1210, 605, 1816, 908, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 955,
      'J' = [2866, 1433, 4300, 2150, 1075, 3226, 1613, 4840, 2420, 1210, 605, 1816, 908, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1],
      'T' = 2865,
      'N1' = 2866],
     [955 > 1,
      1 is 955 mod 2,
      2865 is 3 * 955,
      2866 is 2865 + 1,
      collatz(2866, [2866, 1433, 4300, 2150, 1075, 3226, 1613, 4840, 2420, 1210, 605, 1816, 908, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1])]).
step(955 > 1, builtin, [], []).
step(1 is 955 mod 2, builtin, [], []).
step(2865 is 3 * 955, builtin, [], []).
step(2866 is 2865 + 1, builtin, [], []).
step(collatz(2866, [2866, 1433, 4300, 2150, 1075, 3226, 1613, 4840, 2420, 1210, 605, 1816, 908, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 2866,
      'J' = [1433, 4300, 2150, 1075, 3226, 1613, 4840, 2420, 1210, 605, 1816, 908, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1],
      'N1' = 1433],
     [2866 > 1,
      0 is 2866 mod 2,
      1433 is 2866 // 2,
      collatz(1433, [1433, 4300, 2150, 1075, 3226, 1613, 4840, 2420, 1210, 605, 1816, 908, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1])]).
step(2866 > 1, builtin, [], []).
step(0 is 2866 mod 2, builtin, [], []).
step(1433 is 2866 // 2, builtin, [], []).
step(collatz(1433, [1433, 4300, 2150, 1075, 3226, 1613, 4840, 2420, 1210, 605, 1816, 908, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 1433,
      'J' = [4300, 2150, 1075, 3226, 1613, 4840, 2420, 1210, 605, 1816, 908, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1],
      'T' = 4299,
      'N1' = 4300],
     [1433 > 1,
      1 is 1433 mod 2,
      4299 is 3 * 1433,
      4300 is 4299 + 1,
      collatz(4300, [4300, 2150, 1075, 3226, 1613, 4840, 2420, 1210, 605, 1816, 908, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1])]).
step(1433 > 1, builtin, [], []).
step(1 is 1433 mod 2, builtin, [], []).
step(4299 is 3 * 1433, builtin, [], []).
step(4300 is 4299 + 1, builtin, [], []).
step(collatz(4300, [4300, 2150, 1075, 3226, 1613, 4840, 2420, 1210, 605, 1816, 908, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 4300,
      'J' = [2150, 1075, 3226, 1613, 4840, 2420, 1210, 605, 1816, 908, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1],
      'N1' = 2150],
     [4300 > 1,
      0 is 4300 mod 2,
      2150 is 4300 // 2,
      collatz(2150, [2150, 1075, 3226, 1613, 4840, 2420, 1210, 605, 1816, 908, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1])]).
step(4300 > 1, builtin, [], []).
step(0 is 4300 mod 2, builtin, [], []).
step(2150 is 4300 // 2, builtin, [], []).
step(collatz(2150, [2150, 1075, 3226, 1613, 4840, 2420, 1210, 605, 1816, 908, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 2150,
      'J' = [1075, 3226, 1613, 4840, 2420, 1210, 605, 1816, 908, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1],
      'N1' = 1075],
     [2150 > 1,
      0 is 2150 mod 2,
      1075 is 2150 // 2,
      collatz(1075, [1075, 3226, 1613, 4840, 2420, 1210, 605, 1816, 908, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1])]).
step(2150 > 1, builtin, [], []).
step(0 is 2150 mod 2, builtin, [], []).
step(1075 is 2150 // 2, builtin, [], []).
step(collatz(1075, [1075, 3226, 1613, 4840, 2420, 1210, 605, 1816, 908, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 1075,
      'J' = [3226, 1613, 4840, 2420, 1210, 605, 1816, 908, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1],
      'T' = 3225,
      'N1' = 3226],
     [1075 > 1,
      1 is 1075 mod 2,
      3225 is 3 * 1075,
      3226 is 3225 + 1,
      collatz(3226, [3226, 1613, 4840, 2420, 1210, 605, 1816, 908, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1])]).
step(1075 > 1, builtin, [], []).
step(1 is 1075 mod 2, builtin, [], []).
step(3225 is 3 * 1075, builtin, [], []).
step(3226 is 3225 + 1, builtin, [], []).
step(collatz(3226, [3226, 1613, 4840, 2420, 1210, 605, 1816, 908, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 3226,
      'J' = [1613, 4840, 2420, 1210, 605, 1816, 908, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1],
      'N1' = 1613],
     [3226 > 1,
      0 is 3226 mod 2,
      1613 is 3226 // 2,
      collatz(1613, [1613, 4840, 2420, 1210, 605, 1816, 908, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1])]).
step(3226 > 1, builtin, [], []).
step(0 is 3226 mod 2, builtin, [], []).
step(1613 is 3226 // 2, builtin, [], []).
step(collatz(1613, [1613, 4840, 2420, 1210, 605, 1816, 908, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 1613,
      'J' = [4840, 2420, 1210, 605, 1816, 908, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1],
      'T' = 4839,
      'N1' = 4840],
     [1613 > 1,
      1 is 1613 mod 2,
      4839 is 3 * 1613,
      4840 is 4839 + 1,
      collatz(4840, [4840, 2420, 1210, 605, 1816, 908, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1])]).
step(1613 > 1, builtin, [], []).
step(1 is 1613 mod 2, builtin, [], []).
step(4839 is 3 * 1613, builtin, [], []).
step(4840 is 4839 + 1, builtin, [], []).
step(collatz(4840, [4840, 2420, 1210, 605, 1816, 908, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 4840,
      'J' = [2420, 1210, 605, 1816, 908, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1],
      'N1' = 2420],
     [4840 > 1,
      0 is 4840 mod 2,
      2420 is 4840 // 2,
      collatz(2420, [2420, 1210, 605, 1816, 908, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1])]).
step(4840 > 1, builtin, [], []).
step(0 is 4840 mod 2, builtin, [], []).
step(2420 is 4840 // 2, builtin, [], []).
step(collatz(2420, [2420, 1210, 605, 1816, 908, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 2420,
      'J' = [1210, 605, 1816, 908, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1],
      'N1' = 1210],
     [2420 > 1,
      0 is 2420 mod 2,
      1210 is 2420 // 2,
      collatz(1210, [1210, 605, 1816, 908, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1])]).
step(2420 > 1, builtin, [], []).
step(0 is 2420 mod 2, builtin, [], []).
step(1210 is 2420 // 2, builtin, [], []).
step(collatz(1210, [1210, 605, 1816, 908, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1210,
      'J' = [605, 1816, 908, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1],
      'N1' = 605],
     [1210 > 1,
      0 is 1210 mod 2,
      605 is 1210 // 2,
      collatz(605, [605, 1816, 908, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1])]).
step(1210 > 1, builtin, [], []).
step(0 is 1210 mod 2, builtin, [], []).
step(605 is 1210 // 2, builtin, [], []).
step(collatz(605, [605, 1816, 908, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 605,
      'J' = [1816, 908, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1],
      'T' = 1815,
      'N1' = 1816],
     [605 > 1,
      1 is 605 mod 2,
      1815 is 3 * 605,
      1816 is 1815 + 1,
      collatz(1816, [1816, 908, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1])]).
step(605 > 1, builtin, [], []).
step(1 is 605 mod 2, builtin, [], []).
step(1815 is 3 * 605, builtin, [], []).
step(1816 is 1815 + 1, builtin, [], []).
step(collatz(1816, [1816, 908, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1816,
      'J' = [908, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1],
      'N1' = 908],
     [1816 > 1,
      0 is 1816 mod 2,
      908 is 1816 // 2,
      collatz(908, [908, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1])]).
step(1816 > 1, builtin, [], []).
step(0 is 1816 mod 2, builtin, [], []).
step(908 is 1816 // 2, builtin, [], []).
step(collatz(908, [908, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 908,
      'J' = [454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1],
      'N1' = 454],
     [908 > 1,
      0 is 908 mod 2,
      454 is 908 // 2,
      collatz(454, [454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1])]).
step(908 > 1, builtin, [], []).
step(0 is 908 mod 2, builtin, [], []).
step(454 is 908 // 2, builtin, [], []).
step(collatz(454, [454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 454, 'J' = [227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1], 'N1' = 227],
     [454 > 1,
      0 is 454 mod 2,
      227 is 454 // 2,
      collatz(227, [227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1])]).
step(454 > 1, builtin, [], []).
step(0 is 454 mod 2, builtin, [], []).
step(227 is 454 // 2, builtin, [], []).
step(collatz(227, [227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 227,
      'J' = [682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1],
      'T' = 681,
      'N1' = 682],
     [227 > 1,
      1 is 227 mod 2,
      681 is 3 * 227,
      682 is 681 + 1,
      collatz(682, [682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1])]).
step(227 > 1, builtin, [], []).
step(1 is 227 mod 2, builtin, [], []).
step(681 is 3 * 227, builtin, [], []).
step(682 is 681 + 1, builtin, [], []).
step(collatz(682, [682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 682, 'J' = [341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1], 'N1' = 341],
     [682 > 1,
      0 is 682 mod 2,
      341 is 682 // 2,
      collatz(341, [341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1])]).
step(682 > 1, builtin, [], []).
step(0 is 682 mod 2, builtin, [], []).
step(341 is 682 // 2, builtin, [], []).
step(collatz(341, [341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 341, 'J' = [1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1], 'T' = 1023, 'N1' = 1024],
     [341 > 1,
      1 is 341 mod 2,
      1023 is 3 * 341,
      1024 is 1023 + 1,
      collatz(1024, [1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1])]).
step(341 > 1, builtin, [], []).
step(1 is 341 mod 2, builtin, [], []).
step(1023 is 3 * 341, builtin, [], []).
step(1024 is 1023 + 1, builtin, [], []).
step(collatz(1024, [1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1024, 'J' = [512, 256, 128, 64, 32, 16, 8, 4, 2, 1], 'N1' = 512],
     [1024 > 1,
      0 is 1024 mod 2,
      512 is 1024 // 2,
      collatz(512, [512, 256, 128, 64, 32, 16, 8, 4, 2, 1])]).
step(1024 > 1, builtin, [], []).
step(0 is 1024 mod 2, builtin, [], []).
step(512 is 1024 // 2, builtin, [], []).
step(collatz(512, [512, 256, 128, 64, 32, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 512, 'J' = [256, 128, 64, 32, 16, 8, 4, 2, 1], 'N1' = 256],
     [512 > 1,
      0 is 512 mod 2,
      256 is 512 // 2,
      collatz(256, [256, 128, 64, 32, 16, 8, 4, 2, 1])]).
step(512 > 1, builtin, [], []).
step(0 is 512 mod 2, builtin, [], []).
step(256 is 512 // 2, builtin, [], []).
step(collatz(256, [256, 128, 64, 32, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 256, 'J' = [128, 64, 32, 16, 8, 4, 2, 1], 'N1' = 128],
     [256 > 1, 0 is 256 mod 2, 128 is 256 // 2, collatz(128, [128, 64, 32, 16, 8, 4, 2, 1])]).
step(256 > 1, builtin, [], []).
step(0 is 256 mod 2, builtin, [], []).
step(128 is 256 // 2, builtin, [], []).
step(collatz(128, [128, 64, 32, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 128, 'J' = [64, 32, 16, 8, 4, 2, 1], 'N1' = 64],
     [128 > 1, 0 is 128 mod 2, 64 is 128 // 2, collatz(64, [64, 32, 16, 8, 4, 2, 1])]).
step(128 > 1, builtin, [], []).
step(0 is 128 mod 2, builtin, [], []).
step(64 is 128 // 2, builtin, [], []).
step(collatz(64, [64, 32, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 64, 'J' = [32, 16, 8, 4, 2, 1], 'N1' = 32],
     [64 > 1, 0 is 64 mod 2, 32 is 64 // 2, collatz(32, [32, 16, 8, 4, 2, 1])]).
step(64 > 1, builtin, [], []).
step(0 is 64 mod 2, builtin, [], []).
step(32 is 64 // 2, builtin, [], []).
step(collatz(32, [32, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 32, 'J' = [16, 8, 4, 2, 1], 'N1' = 16],
     [32 > 1, 0 is 32 mod 2, 16 is 32 // 2, collatz(16, [16, 8, 4, 2, 1])]).
step(32 > 1, builtin, [], []).
step(0 is 32 mod 2, builtin, [], []).
step(16 is 32 // 2, builtin, [], []).
step(collatzTrajectory(954, [954, 477, 1432, 716, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 954,
      'M' = [954, 477, 1432, 716, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 46],
     [repeat(1000, 46),
      954 is 1000 - 46,
      collatz(954, [954, 477, 1432, 716, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 46),
     rule(3),
     ['N' = 1000, 'I' = 46, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 46)]).
step(between(0, 999, 46), builtin, [], []).
step(954 is 1000 - 46, builtin, [], []).
step(collatz(954, [954, 477, 1432, 716, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 954,
      'J' = [477, 1432, 716, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 477],
     [954 > 1,
      0 is 954 mod 2,
      477 is 954 // 2,
      collatz(477, [477, 1432, 716, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(954 > 1, builtin, [], []).
step(0 is 954 mod 2, builtin, [], []).
step(477 is 954 // 2, builtin, [], []).
step(collatz(477, [477, 1432, 716, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 477,
      'J' = [1432, 716, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 1431,
      'N1' = 1432],
     [477 > 1,
      1 is 477 mod 2,
      1431 is 3 * 477,
      1432 is 1431 + 1,
      collatz(1432, [1432, 716, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(477 > 1, builtin, [], []).
step(1 is 477 mod 2, builtin, [], []).
step(1431 is 3 * 477, builtin, [], []).
step(1432 is 1431 + 1, builtin, [], []).
step(collatz(1432, [1432, 716, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1432,
      'J' = [716, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 716],
     [1432 > 1,
      0 is 1432 mod 2,
      716 is 1432 // 2,
      collatz(716, [716, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1432 > 1, builtin, [], []).
step(0 is 1432 mod 2, builtin, [], []).
step(716 is 1432 // 2, builtin, [], []).
step(collatz(716, [716, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 716,
      'J' = [358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 358],
     [716 > 1,
      0 is 716 mod 2,
      358 is 716 // 2,
      collatz(358, [358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(716 > 1, builtin, [], []).
step(0 is 716 mod 2, builtin, [], []).
step(358 is 716 // 2, builtin, [], []).
step(collatzTrajectory(953, [953, 2860, 1430, 715, 2146, 1073, 3220, 1610, 805, 2416, 1208, 604, 302, 151, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 953,
      'M' = [953, 2860, 1430, 715, 2146, 1073, 3220, 1610, 805, 2416, 1208, 604, 302, 151, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1],
      'N0' = 47],
     [repeat(1000, 47),
      953 is 1000 - 47,
      collatz(953, [953, 2860, 1430, 715, 2146, 1073, 3220, 1610, 805, 2416, 1208, 604, 302, 151, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1])]).
step(repeat(1000, 47),
     rule(3),
     ['N' = 1000, 'I' = 47, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 47)]).
step(between(0, 999, 47), builtin, [], []).
step(953 is 1000 - 47, builtin, [], []).
step(collatz(953, [953, 2860, 1430, 715, 2146, 1073, 3220, 1610, 805, 2416, 1208, 604, 302, 151, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 953,
      'J' = [2860, 1430, 715, 2146, 1073, 3220, 1610, 805, 2416, 1208, 604, 302, 151, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1],
      'T' = 2859,
      'N1' = 2860],
     [953 > 1,
      1 is 953 mod 2,
      2859 is 3 * 953,
      2860 is 2859 + 1,
      collatz(2860, [2860, 1430, 715, 2146, 1073, 3220, 1610, 805, 2416, 1208, 604, 302, 151, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1])]).
step(953 > 1, builtin, [], []).
step(1 is 953 mod 2, builtin, [], []).
step(2859 is 3 * 953, builtin, [], []).
step(2860 is 2859 + 1, builtin, [], []).
step(collatz(2860, [2860, 1430, 715, 2146, 1073, 3220, 1610, 805, 2416, 1208, 604, 302, 151, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 2860,
      'J' = [1430, 715, 2146, 1073, 3220, 1610, 805, 2416, 1208, 604, 302, 151, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1],
      'N1' = 1430],
     [2860 > 1,
      0 is 2860 mod 2,
      1430 is 2860 // 2,
      collatz(1430, [1430, 715, 2146, 1073, 3220, 1610, 805, 2416, 1208, 604, 302, 151, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1])]).
step(2860 > 1, builtin, [], []).
step(0 is 2860 mod 2, builtin, [], []).
step(1430 is 2860 // 2, builtin, [], []).
step(collatz(1430, [1430, 715, 2146, 1073, 3220, 1610, 805, 2416, 1208, 604, 302, 151, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1430,
      'J' = [715, 2146, 1073, 3220, 1610, 805, 2416, 1208, 604, 302, 151, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1],
      'N1' = 715],
     [1430 > 1,
      0 is 1430 mod 2,
      715 is 1430 // 2,
      collatz(715, [715, 2146, 1073, 3220, 1610, 805, 2416, 1208, 604, 302, 151, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1])]).
step(1430 > 1, builtin, [], []).
step(0 is 1430 mod 2, builtin, [], []).
step(715 is 1430 // 2, builtin, [], []).
step(collatz(715, [715, 2146, 1073, 3220, 1610, 805, 2416, 1208, 604, 302, 151, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 715,
      'J' = [2146, 1073, 3220, 1610, 805, 2416, 1208, 604, 302, 151, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1],
      'T' = 2145,
      'N1' = 2146],
     [715 > 1,
      1 is 715 mod 2,
      2145 is 3 * 715,
      2146 is 2145 + 1,
      collatz(2146, [2146, 1073, 3220, 1610, 805, 2416, 1208, 604, 302, 151, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1])]).
step(715 > 1, builtin, [], []).
step(1 is 715 mod 2, builtin, [], []).
step(2145 is 3 * 715, builtin, [], []).
step(2146 is 2145 + 1, builtin, [], []).
step(collatz(2146, [2146, 1073, 3220, 1610, 805, 2416, 1208, 604, 302, 151, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 2146,
      'J' = [1073, 3220, 1610, 805, 2416, 1208, 604, 302, 151, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1],
      'N1' = 1073],
     [2146 > 1,
      0 is 2146 mod 2,
      1073 is 2146 // 2,
      collatz(1073, [1073, 3220, 1610, 805, 2416, 1208, 604, 302, 151, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1])]).
step(2146 > 1, builtin, [], []).
step(0 is 2146 mod 2, builtin, [], []).
step(1073 is 2146 // 2, builtin, [], []).
step(collatz(1073, [1073, 3220, 1610, 805, 2416, 1208, 604, 302, 151, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 1073,
      'J' = [3220, 1610, 805, 2416, 1208, 604, 302, 151, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1],
      'T' = 3219,
      'N1' = 3220],
     [1073 > 1,
      1 is 1073 mod 2,
      3219 is 3 * 1073,
      3220 is 3219 + 1,
      collatz(3220, [3220, 1610, 805, 2416, 1208, 604, 302, 151, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1])]).
step(1073 > 1, builtin, [], []).
step(1 is 1073 mod 2, builtin, [], []).
step(3219 is 3 * 1073, builtin, [], []).
step(3220 is 3219 + 1, builtin, [], []).
step(collatz(3220, [3220, 1610, 805, 2416, 1208, 604, 302, 151, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 3220,
      'J' = [1610, 805, 2416, 1208, 604, 302, 151, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1],
      'N1' = 1610],
     [3220 > 1,
      0 is 3220 mod 2,
      1610 is 3220 // 2,
      collatz(1610, [1610, 805, 2416, 1208, 604, 302, 151, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1])]).
step(3220 > 1, builtin, [], []).
step(0 is 3220 mod 2, builtin, [], []).
step(1610 is 3220 // 2, builtin, [], []).
step(collatz(1610, [1610, 805, 2416, 1208, 604, 302, 151, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1610,
      'J' = [805, 2416, 1208, 604, 302, 151, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1],
      'N1' = 805],
     [1610 > 1,
      0 is 1610 mod 2,
      805 is 1610 // 2,
      collatz(805, [805, 2416, 1208, 604, 302, 151, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1])]).
step(1610 > 1, builtin, [], []).
step(0 is 1610 mod 2, builtin, [], []).
step(805 is 1610 // 2, builtin, [], []).
step(collatz(805, [805, 2416, 1208, 604, 302, 151, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 805,
      'J' = [2416, 1208, 604, 302, 151, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1],
      'T' = 2415,
      'N1' = 2416],
     [805 > 1,
      1 is 805 mod 2,
      2415 is 3 * 805,
      2416 is 2415 + 1,
      collatz(2416, [2416, 1208, 604, 302, 151, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1])]).
step(805 > 1, builtin, [], []).
step(1 is 805 mod 2, builtin, [], []).
step(2415 is 3 * 805, builtin, [], []).
step(2416 is 2415 + 1, builtin, [], []).
step(collatz(2416, [2416, 1208, 604, 302, 151, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 2416,
      'J' = [1208, 604, 302, 151, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1],
      'N1' = 1208],
     [2416 > 1,
      0 is 2416 mod 2,
      1208 is 2416 // 2,
      collatz(1208, [1208, 604, 302, 151, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1])]).
step(2416 > 1, builtin, [], []).
step(0 is 2416 mod 2, builtin, [], []).
step(1208 is 2416 // 2, builtin, [], []).
step(collatz(1208, [1208, 604, 302, 151, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1208,
      'J' = [604, 302, 151, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1],
      'N1' = 604],
     [1208 > 1,
      0 is 1208 mod 2,
      604 is 1208 // 2,
      collatz(604, [604, 302, 151, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1])]).
step(1208 > 1, builtin, [], []).
step(0 is 1208 mod 2, builtin, [], []).
step(604 is 1208 // 2, builtin, [], []).
step(collatz(604, [604, 302, 151, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 604,
      'J' = [302, 151, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1],
      'N1' = 302],
     [604 > 1,
      0 is 604 mod 2,
      302 is 604 // 2,
      collatz(302, [302, 151, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1])]).
step(604 > 1, builtin, [], []).
step(0 is 604 mod 2, builtin, [], []).
step(302 is 604 // 2, builtin, [], []).
step(collatz(302, [302, 151, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 302,
      'J' = [151, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1],
      'N1' = 151],
     [302 > 1,
      0 is 302 mod 2,
      151 is 302 // 2,
      collatz(151, [151, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1])]).
step(302 > 1, builtin, [], []).
step(0 is 302 mod 2, builtin, [], []).
step(151 is 302 // 2, builtin, [], []).
step(collatz(151, [151, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 151,
      'J' = [454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1],
      'T' = 453,
      'N1' = 454],
     [151 > 1,
      1 is 151 mod 2,
      453 is 3 * 151,
      454 is 453 + 1,
      collatz(454, [454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1])]).
step(151 > 1, builtin, [], []).
step(1 is 151 mod 2, builtin, [], []).
step(453 is 3 * 151, builtin, [], []).
step(454 is 453 + 1, builtin, [], []).
step(collatzTrajectory(952, [952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 952,
      'M' = [952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 48],
     [repeat(1000, 48),
      952 is 1000 - 48,
      collatz(952, [952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 48),
     rule(3),
     ['N' = 1000, 'I' = 48, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 48)]).
step(between(0, 999, 48), builtin, [], []).
step(952 is 1000 - 48, builtin, [], []).
step(collatzTrajectory(951, [951, 2854, 1427, 4282, 2141, 6424, 3212, 1606, 803, 2410, 1205, 3616, 1808, 904, 452, 226, 113, 340, 170, 85, 256, 128, 64, 32, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 951,
      'M' = [951, 2854, 1427, 4282, 2141, 6424, 3212, 1606, 803, 2410, 1205, 3616, 1808, 904, 452, 226, 113, 340, 170, 85, 256, 128, 64, 32, 16, 8, 4, 2, 1],
      'N0' = 49],
     [repeat(1000, 49),
      951 is 1000 - 49,
      collatz(951, [951, 2854, 1427, 4282, 2141, 6424, 3212, 1606, 803, 2410, 1205, 3616, 1808, 904, 452, 226, 113, 340, 170, 85, 256, 128, 64, 32, 16, 8, 4, 2, 1])]).
step(repeat(1000, 49),
     rule(3),
     ['N' = 1000, 'I' = 49, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 49)]).
step(between(0, 999, 49), builtin, [], []).
step(951 is 1000 - 49, builtin, [], []).
step(collatz(951, [951, 2854, 1427, 4282, 2141, 6424, 3212, 1606, 803, 2410, 1205, 3616, 1808, 904, 452, 226, 113, 340, 170, 85, 256, 128, 64, 32, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 951,
      'J' = [2854, 1427, 4282, 2141, 6424, 3212, 1606, 803, 2410, 1205, 3616, 1808, 904, 452, 226, 113, 340, 170, 85, 256, 128, 64, 32, 16, 8, 4, 2, 1],
      'T' = 2853,
      'N1' = 2854],
     [951 > 1,
      1 is 951 mod 2,
      2853 is 3 * 951,
      2854 is 2853 + 1,
      collatz(2854, [2854, 1427, 4282, 2141, 6424, 3212, 1606, 803, 2410, 1205, 3616, 1808, 904, 452, 226, 113, 340, 170, 85, 256, 128, 64, 32, 16, 8, 4, 2, 1])]).
step(951 > 1, builtin, [], []).
step(1 is 951 mod 2, builtin, [], []).
step(2853 is 3 * 951, builtin, [], []).
step(2854 is 2853 + 1, builtin, [], []).
step(collatz(2854, [2854, 1427, 4282, 2141, 6424, 3212, 1606, 803, 2410, 1205, 3616, 1808, 904, 452, 226, 113, 340, 170, 85, 256, 128, 64, 32, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 2854,
      'J' = [1427, 4282, 2141, 6424, 3212, 1606, 803, 2410, 1205, 3616, 1808, 904, 452, 226, 113, 340, 170, 85, 256, 128, 64, 32, 16, 8, 4, 2, 1],
      'N1' = 1427],
     [2854 > 1,
      0 is 2854 mod 2,
      1427 is 2854 // 2,
      collatz(1427, [1427, 4282, 2141, 6424, 3212, 1606, 803, 2410, 1205, 3616, 1808, 904, 452, 226, 113, 340, 170, 85, 256, 128, 64, 32, 16, 8, 4, 2, 1])]).
step(2854 > 1, builtin, [], []).
step(0 is 2854 mod 2, builtin, [], []).
step(1427 is 2854 // 2, builtin, [], []).
step(collatz(1427, [1427, 4282, 2141, 6424, 3212, 1606, 803, 2410, 1205, 3616, 1808, 904, 452, 226, 113, 340, 170, 85, 256, 128, 64, 32, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 1427,
      'J' = [4282, 2141, 6424, 3212, 1606, 803, 2410, 1205, 3616, 1808, 904, 452, 226, 113, 340, 170, 85, 256, 128, 64, 32, 16, 8, 4, 2, 1],
      'T' = 4281,
      'N1' = 4282],
     [1427 > 1,
      1 is 1427 mod 2,
      4281 is 3 * 1427,
      4282 is 4281 + 1,
      collatz(4282, [4282, 2141, 6424, 3212, 1606, 803, 2410, 1205, 3616, 1808, 904, 452, 226, 113, 340, 170, 85, 256, 128, 64, 32, 16, 8, 4, 2, 1])]).
step(1427 > 1, builtin, [], []).
step(1 is 1427 mod 2, builtin, [], []).
step(4281 is 3 * 1427, builtin, [], []).
step(4282 is 4281 + 1, builtin, [], []).
step(collatz(4282, [4282, 2141, 6424, 3212, 1606, 803, 2410, 1205, 3616, 1808, 904, 452, 226, 113, 340, 170, 85, 256, 128, 64, 32, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 4282,
      'J' = [2141, 6424, 3212, 1606, 803, 2410, 1205, 3616, 1808, 904, 452, 226, 113, 340, 170, 85, 256, 128, 64, 32, 16, 8, 4, 2, 1],
      'N1' = 2141],
     [4282 > 1,
      0 is 4282 mod 2,
      2141 is 4282 // 2,
      collatz(2141, [2141, 6424, 3212, 1606, 803, 2410, 1205, 3616, 1808, 904, 452, 226, 113, 340, 170, 85, 256, 128, 64, 32, 16, 8, 4, 2, 1])]).
step(4282 > 1, builtin, [], []).
step(0 is 4282 mod 2, builtin, [], []).
step(2141 is 4282 // 2, builtin, [], []).
step(collatz(2141, [2141, 6424, 3212, 1606, 803, 2410, 1205, 3616, 1808, 904, 452, 226, 113, 340, 170, 85, 256, 128, 64, 32, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 2141,
      'J' = [6424, 3212, 1606, 803, 2410, 1205, 3616, 1808, 904, 452, 226, 113, 340, 170, 85, 256, 128, 64, 32, 16, 8, 4, 2, 1],
      'T' = 6423,
      'N1' = 6424],
     [2141 > 1,
      1 is 2141 mod 2,
      6423 is 3 * 2141,
      6424 is 6423 + 1,
      collatz(6424, [6424, 3212, 1606, 803, 2410, 1205, 3616, 1808, 904, 452, 226, 113, 340, 170, 85, 256, 128, 64, 32, 16, 8, 4, 2, 1])]).
step(2141 > 1, builtin, [], []).
step(1 is 2141 mod 2, builtin, [], []).
step(6423 is 3 * 2141, builtin, [], []).
step(6424 is 6423 + 1, builtin, [], []).
step(collatz(6424, [6424, 3212, 1606, 803, 2410, 1205, 3616, 1808, 904, 452, 226, 113, 340, 170, 85, 256, 128, 64, 32, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 6424,
      'J' = [3212, 1606, 803, 2410, 1205, 3616, 1808, 904, 452, 226, 113, 340, 170, 85, 256, 128, 64, 32, 16, 8, 4, 2, 1],
      'N1' = 3212],
     [6424 > 1,
      0 is 6424 mod 2,
      3212 is 6424 // 2,
      collatz(3212, [3212, 1606, 803, 2410, 1205, 3616, 1808, 904, 452, 226, 113, 340, 170, 85, 256, 128, 64, 32, 16, 8, 4, 2, 1])]).
step(6424 > 1, builtin, [], []).
step(0 is 6424 mod 2, builtin, [], []).
step(3212 is 6424 // 2, builtin, [], []).
step(collatz(3212, [3212, 1606, 803, 2410, 1205, 3616, 1808, 904, 452, 226, 113, 340, 170, 85, 256, 128, 64, 32, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 3212,
      'J' = [1606, 803, 2410, 1205, 3616, 1808, 904, 452, 226, 113, 340, 170, 85, 256, 128, 64, 32, 16, 8, 4, 2, 1],
      'N1' = 1606],
     [3212 > 1,
      0 is 3212 mod 2,
      1606 is 3212 // 2,
      collatz(1606, [1606, 803, 2410, 1205, 3616, 1808, 904, 452, 226, 113, 340, 170, 85, 256, 128, 64, 32, 16, 8, 4, 2, 1])]).
step(3212 > 1, builtin, [], []).
step(0 is 3212 mod 2, builtin, [], []).
step(1606 is 3212 // 2, builtin, [], []).
step(collatz(1606, [1606, 803, 2410, 1205, 3616, 1808, 904, 452, 226, 113, 340, 170, 85, 256, 128, 64, 32, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1606,
      'J' = [803, 2410, 1205, 3616, 1808, 904, 452, 226, 113, 340, 170, 85, 256, 128, 64, 32, 16, 8, 4, 2, 1],
      'N1' = 803],
     [1606 > 1,
      0 is 1606 mod 2,
      803 is 1606 // 2,
      collatz(803, [803, 2410, 1205, 3616, 1808, 904, 452, 226, 113, 340, 170, 85, 256, 128, 64, 32, 16, 8, 4, 2, 1])]).
step(1606 > 1, builtin, [], []).
step(0 is 1606 mod 2, builtin, [], []).
step(803 is 1606 // 2, builtin, [], []).
step(collatz(803, [803, 2410, 1205, 3616, 1808, 904, 452, 226, 113, 340, 170, 85, 256, 128, 64, 32, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 803,
      'J' = [2410, 1205, 3616, 1808, 904, 452, 226, 113, 340, 170, 85, 256, 128, 64, 32, 16, 8, 4, 2, 1],
      'T' = 2409,
      'N1' = 2410],
     [803 > 1,
      1 is 803 mod 2,
      2409 is 3 * 803,
      2410 is 2409 + 1,
      collatz(2410, [2410, 1205, 3616, 1808, 904, 452, 226, 113, 340, 170, 85, 256, 128, 64, 32, 16, 8, 4, 2, 1])]).
step(803 > 1, builtin, [], []).
step(1 is 803 mod 2, builtin, [], []).
step(2409 is 3 * 803, builtin, [], []).
step(2410 is 2409 + 1, builtin, [], []).
step(collatz(2410, [2410, 1205, 3616, 1808, 904, 452, 226, 113, 340, 170, 85, 256, 128, 64, 32, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 2410,
      'J' = [1205, 3616, 1808, 904, 452, 226, 113, 340, 170, 85, 256, 128, 64, 32, 16, 8, 4, 2, 1],
      'N1' = 1205],
     [2410 > 1,
      0 is 2410 mod 2,
      1205 is 2410 // 2,
      collatz(1205, [1205, 3616, 1808, 904, 452, 226, 113, 340, 170, 85, 256, 128, 64, 32, 16, 8, 4, 2, 1])]).
step(2410 > 1, builtin, [], []).
step(0 is 2410 mod 2, builtin, [], []).
step(1205 is 2410 // 2, builtin, [], []).
step(collatz(1205, [1205, 3616, 1808, 904, 452, 226, 113, 340, 170, 85, 256, 128, 64, 32, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 1205,
      'J' = [3616, 1808, 904, 452, 226, 113, 340, 170, 85, 256, 128, 64, 32, 16, 8, 4, 2, 1],
      'T' = 3615,
      'N1' = 3616],
     [1205 > 1,
      1 is 1205 mod 2,
      3615 is 3 * 1205,
      3616 is 3615 + 1,
      collatz(3616, [3616, 1808, 904, 452, 226, 113, 340, 170, 85, 256, 128, 64, 32, 16, 8, 4, 2, 1])]).
step(1205 > 1, builtin, [], []).
step(1 is 1205 mod 2, builtin, [], []).
step(3615 is 3 * 1205, builtin, [], []).
step(3616 is 3615 + 1, builtin, [], []).
step(collatz(3616, [3616, 1808, 904, 452, 226, 113, 340, 170, 85, 256, 128, 64, 32, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 3616,
      'J' = [1808, 904, 452, 226, 113, 340, 170, 85, 256, 128, 64, 32, 16, 8, 4, 2, 1],
      'N1' = 1808],
     [3616 > 1,
      0 is 3616 mod 2,
      1808 is 3616 // 2,
      collatz(1808, [1808, 904, 452, 226, 113, 340, 170, 85, 256, 128, 64, 32, 16, 8, 4, 2, 1])]).
step(3616 > 1, builtin, [], []).
step(0 is 3616 mod 2, builtin, [], []).
step(1808 is 3616 // 2, builtin, [], []).
step(collatz(1808, [1808, 904, 452, 226, 113, 340, 170, 85, 256, 128, 64, 32, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1808,
      'J' = [904, 452, 226, 113, 340, 170, 85, 256, 128, 64, 32, 16, 8, 4, 2, 1],
      'N1' = 904],
     [1808 > 1,
      0 is 1808 mod 2,
      904 is 1808 // 2,
      collatz(904, [904, 452, 226, 113, 340, 170, 85, 256, 128, 64, 32, 16, 8, 4, 2, 1])]).
step(1808 > 1, builtin, [], []).
step(0 is 1808 mod 2, builtin, [], []).
step(904 is 1808 // 2, builtin, [], []).
step(collatz(904, [904, 452, 226, 113, 340, 170, 85, 256, 128, 64, 32, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 904,
      'J' = [452, 226, 113, 340, 170, 85, 256, 128, 64, 32, 16, 8, 4, 2, 1],
      'N1' = 452],
     [904 > 1,
      0 is 904 mod 2,
      452 is 904 // 2,
      collatz(452, [452, 226, 113, 340, 170, 85, 256, 128, 64, 32, 16, 8, 4, 2, 1])]).
step(904 > 1, builtin, [], []).
step(0 is 904 mod 2, builtin, [], []).
step(452 is 904 // 2, builtin, [], []).
step(collatz(452, [452, 226, 113, 340, 170, 85, 256, 128, 64, 32, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 452, 'J' = [226, 113, 340, 170, 85, 256, 128, 64, 32, 16, 8, 4, 2, 1], 'N1' = 226],
     [452 > 1,
      0 is 452 mod 2,
      226 is 452 // 2,
      collatz(226, [226, 113, 340, 170, 85, 256, 128, 64, 32, 16, 8, 4, 2, 1])]).
step(452 > 1, builtin, [], []).
step(0 is 452 mod 2, builtin, [], []).
step(226 is 452 // 2, builtin, [], []).
step(collatz(226, [226, 113, 340, 170, 85, 256, 128, 64, 32, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 226, 'J' = [113, 340, 170, 85, 256, 128, 64, 32, 16, 8, 4, 2, 1], 'N1' = 113],
     [226 > 1,
      0 is 226 mod 2,
      113 is 226 // 2,
      collatz(113, [113, 340, 170, 85, 256, 128, 64, 32, 16, 8, 4, 2, 1])]).
step(226 > 1, builtin, [], []).
step(0 is 226 mod 2, builtin, [], []).
step(113 is 226 // 2, builtin, [], []).
step(collatz(113, [113, 340, 170, 85, 256, 128, 64, 32, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 113, 'J' = [340, 170, 85, 256, 128, 64, 32, 16, 8, 4, 2, 1], 'T' = 339, 'N1' = 340],
     [113 > 1,
      1 is 113 mod 2,
      339 is 3 * 113,
      340 is 339 + 1,
      collatz(340, [340, 170, 85, 256, 128, 64, 32, 16, 8, 4, 2, 1])]).
step(113 > 1, builtin, [], []).
step(1 is 113 mod 2, builtin, [], []).
step(339 is 3 * 113, builtin, [], []).
step(340 is 339 + 1, builtin, [], []).
step(collatz(340, [340, 170, 85, 256, 128, 64, 32, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 340, 'J' = [170, 85, 256, 128, 64, 32, 16, 8, 4, 2, 1], 'N1' = 170],
     [340 > 1,
      0 is 340 mod 2,
      170 is 340 // 2,
      collatz(170, [170, 85, 256, 128, 64, 32, 16, 8, 4, 2, 1])]).
step(340 > 1, builtin, [], []).
step(0 is 340 mod 2, builtin, [], []).
step(170 is 340 // 2, builtin, [], []).
step(collatz(170, [170, 85, 256, 128, 64, 32, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 170, 'J' = [85, 256, 128, 64, 32, 16, 8, 4, 2, 1], 'N1' = 85],
     [170 > 1,
      0 is 170 mod 2,
      85 is 170 // 2,
      collatz(85, [85, 256, 128, 64, 32, 16, 8, 4, 2, 1])]).
step(170 > 1, builtin, [], []).
step(0 is 170 mod 2, builtin, [], []).
step(85 is 170 // 2, builtin, [], []).
step(collatz(85, [85, 256, 128, 64, 32, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 85, 'J' = [256, 128, 64, 32, 16, 8, 4, 2, 1], 'T' = 255, 'N1' = 256],
     [85 > 1,
      1 is 85 mod 2,
      255 is 3 * 85,
      256 is 255 + 1,
      collatz(256, [256, 128, 64, 32, 16, 8, 4, 2, 1])]).
step(85 > 1, builtin, [], []).
step(1 is 85 mod 2, builtin, [], []).
step(255 is 3 * 85, builtin, [], []).
step(256 is 255 + 1, builtin, [], []).
step(collatzTrajectory(950, [950, 475, 1426, 713, 2140, 1070, 535, 1606, 803, 2410, 1205, 3616, 1808, 904, 452, 226, 113, 340, 170, 85, 256, 128, 64, 32, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 950,
      'M' = [950, 475, 1426, 713, 2140, 1070, 535, 1606, 803, 2410, 1205, 3616, 1808, 904, 452, 226, 113, 340, 170, 85, 256, 128, 64, 32, 16, 8, 4, 2, 1],
      'N0' = 50],
     [repeat(1000, 50),
      950 is 1000 - 50,
      collatz(950, [950, 475, 1426, 713, 2140, 1070, 535, 1606, 803, 2410, 1205, 3616, 1808, 904, 452, 226, 113, 340, 170, 85, 256, 128, 64, 32, 16, 8, 4, 2, 1])]).
step(repeat(1000, 50),
     rule(3),
     ['N' = 1000, 'I' = 50, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 50)]).
step(between(0, 999, 50), builtin, [], []).
step(950 is 1000 - 50, builtin, [], []).
step(collatz(950, [950, 475, 1426, 713, 2140, 1070, 535, 1606, 803, 2410, 1205, 3616, 1808, 904, 452, 226, 113, 340, 170, 85, 256, 128, 64, 32, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 950,
      'J' = [475, 1426, 713, 2140, 1070, 535, 1606, 803, 2410, 1205, 3616, 1808, 904, 452, 226, 113, 340, 170, 85, 256, 128, 64, 32, 16, 8, 4, 2, 1],
      'N1' = 475],
     [950 > 1,
      0 is 950 mod 2,
      475 is 950 // 2,
      collatz(475, [475, 1426, 713, 2140, 1070, 535, 1606, 803, 2410, 1205, 3616, 1808, 904, 452, 226, 113, 340, 170, 85, 256, 128, 64, 32, 16, 8, 4, 2, 1])]).
step(950 > 1, builtin, [], []).
step(0 is 950 mod 2, builtin, [], []).
step(475 is 950 // 2, builtin, [], []).
step(collatz(475, [475, 1426, 713, 2140, 1070, 535, 1606, 803, 2410, 1205, 3616, 1808, 904, 452, 226, 113, 340, 170, 85, 256, 128, 64, 32, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 475,
      'J' = [1426, 713, 2140, 1070, 535, 1606, 803, 2410, 1205, 3616, 1808, 904, 452, 226, 113, 340, 170, 85, 256, 128, 64, 32, 16, 8, 4, 2, 1],
      'T' = 1425,
      'N1' = 1426],
     [475 > 1,
      1 is 475 mod 2,
      1425 is 3 * 475,
      1426 is 1425 + 1,
      collatz(1426, [1426, 713, 2140, 1070, 535, 1606, 803, 2410, 1205, 3616, 1808, 904, 452, 226, 113, 340, 170, 85, 256, 128, 64, 32, 16, 8, 4, 2, 1])]).
step(475 > 1, builtin, [], []).
step(1 is 475 mod 2, builtin, [], []).
step(1425 is 3 * 475, builtin, [], []).
step(1426 is 1425 + 1, builtin, [], []).
step(collatz(1426, [1426, 713, 2140, 1070, 535, 1606, 803, 2410, 1205, 3616, 1808, 904, 452, 226, 113, 340, 170, 85, 256, 128, 64, 32, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1426,
      'J' = [713, 2140, 1070, 535, 1606, 803, 2410, 1205, 3616, 1808, 904, 452, 226, 113, 340, 170, 85, 256, 128, 64, 32, 16, 8, 4, 2, 1],
      'N1' = 713],
     [1426 > 1,
      0 is 1426 mod 2,
      713 is 1426 // 2,
      collatz(713, [713, 2140, 1070, 535, 1606, 803, 2410, 1205, 3616, 1808, 904, 452, 226, 113, 340, 170, 85, 256, 128, 64, 32, 16, 8, 4, 2, 1])]).
step(1426 > 1, builtin, [], []).
step(0 is 1426 mod 2, builtin, [], []).
step(713 is 1426 // 2, builtin, [], []).
step(collatz(713, [713, 2140, 1070, 535, 1606, 803, 2410, 1205, 3616, 1808, 904, 452, 226, 113, 340, 170, 85, 256, 128, 64, 32, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 713,
      'J' = [2140, 1070, 535, 1606, 803, 2410, 1205, 3616, 1808, 904, 452, 226, 113, 340, 170, 85, 256, 128, 64, 32, 16, 8, 4, 2, 1],
      'T' = 2139,
      'N1' = 2140],
     [713 > 1,
      1 is 713 mod 2,
      2139 is 3 * 713,
      2140 is 2139 + 1,
      collatz(2140, [2140, 1070, 535, 1606, 803, 2410, 1205, 3616, 1808, 904, 452, 226, 113, 340, 170, 85, 256, 128, 64, 32, 16, 8, 4, 2, 1])]).
step(713 > 1, builtin, [], []).
step(1 is 713 mod 2, builtin, [], []).
step(2139 is 3 * 713, builtin, [], []).
step(2140 is 2139 + 1, builtin, [], []).
step(collatz(2140, [2140, 1070, 535, 1606, 803, 2410, 1205, 3616, 1808, 904, 452, 226, 113, 340, 170, 85, 256, 128, 64, 32, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 2140,
      'J' = [1070, 535, 1606, 803, 2410, 1205, 3616, 1808, 904, 452, 226, 113, 340, 170, 85, 256, 128, 64, 32, 16, 8, 4, 2, 1],
      'N1' = 1070],
     [2140 > 1,
      0 is 2140 mod 2,
      1070 is 2140 // 2,
      collatz(1070, [1070, 535, 1606, 803, 2410, 1205, 3616, 1808, 904, 452, 226, 113, 340, 170, 85, 256, 128, 64, 32, 16, 8, 4, 2, 1])]).
step(2140 > 1, builtin, [], []).
step(0 is 2140 mod 2, builtin, [], []).
step(1070 is 2140 // 2, builtin, [], []).
step(collatz(1070, [1070, 535, 1606, 803, 2410, 1205, 3616, 1808, 904, 452, 226, 113, 340, 170, 85, 256, 128, 64, 32, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1070,
      'J' = [535, 1606, 803, 2410, 1205, 3616, 1808, 904, 452, 226, 113, 340, 170, 85, 256, 128, 64, 32, 16, 8, 4, 2, 1],
      'N1' = 535],
     [1070 > 1,
      0 is 1070 mod 2,
      535 is 1070 // 2,
      collatz(535, [535, 1606, 803, 2410, 1205, 3616, 1808, 904, 452, 226, 113, 340, 170, 85, 256, 128, 64, 32, 16, 8, 4, 2, 1])]).
step(1070 > 1, builtin, [], []).
step(0 is 1070 mod 2, builtin, [], []).
step(535 is 1070 // 2, builtin, [], []).
step(collatz(535, [535, 1606, 803, 2410, 1205, 3616, 1808, 904, 452, 226, 113, 340, 170, 85, 256, 128, 64, 32, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 535,
      'J' = [1606, 803, 2410, 1205, 3616, 1808, 904, 452, 226, 113, 340, 170, 85, 256, 128, 64, 32, 16, 8, 4, 2, 1],
      'T' = 1605,
      'N1' = 1606],
     [535 > 1,
      1 is 535 mod 2,
      1605 is 3 * 535,
      1606 is 1605 + 1,
      collatz(1606, [1606, 803, 2410, 1205, 3616, 1808, 904, 452, 226, 113, 340, 170, 85, 256, 128, 64, 32, 16, 8, 4, 2, 1])]).
step(535 > 1, builtin, [], []).
step(1 is 535 mod 2, builtin, [], []).
step(1605 is 3 * 535, builtin, [], []).
step(1606 is 1605 + 1, builtin, [], []).
step(collatzTrajectory(949, [949, 2848, 1424, 712, 356, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 949,
      'M' = [949, 2848, 1424, 712, 356, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 51],
     [repeat(1000, 51),
      949 is 1000 - 51,
      collatz(949, [949, 2848, 1424, 712, 356, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 51),
     rule(3),
     ['N' = 1000, 'I' = 51, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 51)]).
step(between(0, 999, 51), builtin, [], []).
step(949 is 1000 - 51, builtin, [], []).
step(collatz(949, [949, 2848, 1424, 712, 356, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 949,
      'J' = [2848, 1424, 712, 356, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 2847,
      'N1' = 2848],
     [949 > 1,
      1 is 949 mod 2,
      2847 is 3 * 949,
      2848 is 2847 + 1,
      collatz(2848, [2848, 1424, 712, 356, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(949 > 1, builtin, [], []).
step(1 is 949 mod 2, builtin, [], []).
step(2847 is 3 * 949, builtin, [], []).
step(2848 is 2847 + 1, builtin, [], []).
step(collatzTrajectory(948, [948, 474, 237, 712, 356, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 948,
      'M' = [948, 474, 237, 712, 356, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 52],
     [repeat(1000, 52),
      948 is 1000 - 52,
      collatz(948, [948, 474, 237, 712, 356, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 52),
     rule(3),
     ['N' = 1000, 'I' = 52, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 52)]).
step(between(0, 999, 52), builtin, [], []).
step(948 is 1000 - 52, builtin, [], []).
step(collatz(948, [948, 474, 237, 712, 356, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 948,
      'J' = [474, 237, 712, 356, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 474],
     [948 > 1,
      0 is 948 mod 2,
      474 is 948 // 2,
      collatz(474, [474, 237, 712, 356, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(948 > 1, builtin, [], []).
step(0 is 948 mod 2, builtin, [], []).
step(474 is 948 // 2, builtin, [], []).
step(collatz(474, [474, 237, 712, 356, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 474,
      'J' = [237, 712, 356, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 237],
     [474 > 1,
      0 is 474 mod 2,
      237 is 474 // 2,
      collatz(237, [237, 712, 356, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(474 > 1, builtin, [], []).
step(0 is 474 mod 2, builtin, [], []).
step(237 is 474 // 2, builtin, [], []).
step(collatz(237, [237, 712, 356, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 237,
      'J' = [712, 356, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 711,
      'N1' = 712],
     [237 > 1,
      1 is 237 mod 2,
      711 is 3 * 237,
      712 is 711 + 1,
      collatz(712, [712, 356, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(237 > 1, builtin, [], []).
step(1 is 237 mod 2, builtin, [], []).
step(711 is 3 * 237, builtin, [], []).
step(712 is 711 + 1, builtin, [], []).
step(collatzTrajectory(947, [947, 2842, 1421, 4264, 2132, 1066, 533, 1600, 800, 400, 200, 100, 50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 947,
      'M' = [947, 2842, 1421, 4264, 2132, 1066, 533, 1600, 800, 400, 200, 100, 50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 53],
     [repeat(1000, 53),
      947 is 1000 - 53,
      collatz(947, [947, 2842, 1421, 4264, 2132, 1066, 533, 1600, 800, 400, 200, 100, 50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 53),
     rule(3),
     ['N' = 1000, 'I' = 53, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 53)]).
step(between(0, 999, 53), builtin, [], []).
step(947 is 1000 - 53, builtin, [], []).
step(collatz(947, [947, 2842, 1421, 4264, 2132, 1066, 533, 1600, 800, 400, 200, 100, 50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 947,
      'J' = [2842, 1421, 4264, 2132, 1066, 533, 1600, 800, 400, 200, 100, 50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 2841,
      'N1' = 2842],
     [947 > 1,
      1 is 947 mod 2,
      2841 is 3 * 947,
      2842 is 2841 + 1,
      collatz(2842, [2842, 1421, 4264, 2132, 1066, 533, 1600, 800, 400, 200, 100, 50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(947 > 1, builtin, [], []).
step(1 is 947 mod 2, builtin, [], []).
step(2841 is 3 * 947, builtin, [], []).
step(2842 is 2841 + 1, builtin, [], []).
step(collatz(2842, [2842, 1421, 4264, 2132, 1066, 533, 1600, 800, 400, 200, 100, 50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 2842,
      'J' = [1421, 4264, 2132, 1066, 533, 1600, 800, 400, 200, 100, 50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1421],
     [2842 > 1,
      0 is 2842 mod 2,
      1421 is 2842 // 2,
      collatz(1421, [1421, 4264, 2132, 1066, 533, 1600, 800, 400, 200, 100, 50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2842 > 1, builtin, [], []).
step(0 is 2842 mod 2, builtin, [], []).
step(1421 is 2842 // 2, builtin, [], []).
step(collatz(1421, [1421, 4264, 2132, 1066, 533, 1600, 800, 400, 200, 100, 50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 1421,
      'J' = [4264, 2132, 1066, 533, 1600, 800, 400, 200, 100, 50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 4263,
      'N1' = 4264],
     [1421 > 1,
      1 is 1421 mod 2,
      4263 is 3 * 1421,
      4264 is 4263 + 1,
      collatz(4264, [4264, 2132, 1066, 533, 1600, 800, 400, 200, 100, 50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1421 > 1, builtin, [], []).
step(1 is 1421 mod 2, builtin, [], []).
step(4263 is 3 * 1421, builtin, [], []).
step(4264 is 4263 + 1, builtin, [], []).
step(collatz(4264, [4264, 2132, 1066, 533, 1600, 800, 400, 200, 100, 50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 4264,
      'J' = [2132, 1066, 533, 1600, 800, 400, 200, 100, 50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 2132],
     [4264 > 1,
      0 is 4264 mod 2,
      2132 is 4264 // 2,
      collatz(2132, [2132, 1066, 533, 1600, 800, 400, 200, 100, 50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(4264 > 1, builtin, [], []).
step(0 is 4264 mod 2, builtin, [], []).
step(2132 is 4264 // 2, builtin, [], []).
step(collatz(2132, [2132, 1066, 533, 1600, 800, 400, 200, 100, 50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 2132,
      'J' = [1066, 533, 1600, 800, 400, 200, 100, 50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1066],
     [2132 > 1,
      0 is 2132 mod 2,
      1066 is 2132 // 2,
      collatz(1066, [1066, 533, 1600, 800, 400, 200, 100, 50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2132 > 1, builtin, [], []).
step(0 is 2132 mod 2, builtin, [], []).
step(1066 is 2132 // 2, builtin, [], []).
step(collatz(1066, [1066, 533, 1600, 800, 400, 200, 100, 50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1066,
      'J' = [533, 1600, 800, 400, 200, 100, 50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 533],
     [1066 > 1,
      0 is 1066 mod 2,
      533 is 1066 // 2,
      collatz(533, [533, 1600, 800, 400, 200, 100, 50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1066 > 1, builtin, [], []).
step(0 is 1066 mod 2, builtin, [], []).
step(533 is 1066 // 2, builtin, [], []).
step(collatz(533, [533, 1600, 800, 400, 200, 100, 50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 533,
      'J' = [1600, 800, 400, 200, 100, 50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 1599,
      'N1' = 1600],
     [533 > 1,
      1 is 533 mod 2,
      1599 is 3 * 533,
      1600 is 1599 + 1,
      collatz(1600, [1600, 800, 400, 200, 100, 50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(533 > 1, builtin, [], []).
step(1 is 533 mod 2, builtin, [], []).
step(1599 is 3 * 533, builtin, [], []).
step(1600 is 1599 + 1, builtin, [], []).
step(collatz(1600, [1600, 800, 400, 200, 100, 50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1600,
      'J' = [800, 400, 200, 100, 50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 800],
     [1600 > 1,
      0 is 1600 mod 2,
      800 is 1600 // 2,
      collatz(800, [800, 400, 200, 100, 50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1600 > 1, builtin, [], []).
step(0 is 1600 mod 2, builtin, [], []).
step(800 is 1600 // 2, builtin, [], []).
step(collatz(800, [800, 400, 200, 100, 50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 800,
      'J' = [400, 200, 100, 50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 400],
     [800 > 1,
      0 is 800 mod 2,
      400 is 800 // 2,
      collatz(400, [400, 200, 100, 50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(800 > 1, builtin, [], []).
step(0 is 800 mod 2, builtin, [], []).
step(400 is 800 // 2, builtin, [], []).
step(collatz(400, [400, 200, 100, 50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 400,
      'J' = [200, 100, 50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 200],
     [400 > 1,
      0 is 400 mod 2,
      200 is 400 // 2,
      collatz(200, [200, 100, 50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(400 > 1, builtin, [], []).
step(0 is 400 mod 2, builtin, [], []).
step(200 is 400 // 2, builtin, [], []).
step(collatz(200, [200, 100, 50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 200,
      'J' = [100, 50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 100],
     [200 > 1,
      0 is 200 mod 2,
      100 is 200 // 2,
      collatz(100, [100, 50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(200 > 1, builtin, [], []).
step(0 is 200 mod 2, builtin, [], []).
step(100 is 200 // 2, builtin, [], []).
step(collatz(100, [100, 50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 100,
      'J' = [50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 50],
     [100 > 1,
      0 is 100 mod 2,
      50 is 100 // 2,
      collatz(50, [50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(100 > 1, builtin, [], []).
step(0 is 100 mod 2, builtin, [], []).
step(50 is 100 // 2, builtin, [], []).
step(collatz(50, [50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 50,
      'J' = [25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 25],
     [50 > 1,
      0 is 50 mod 2,
      25 is 50 // 2,
      collatz(25, [25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(50 > 1, builtin, [], []).
step(0 is 50 mod 2, builtin, [], []).
step(25 is 50 // 2, builtin, [], []).
step(collatz(25, [25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 25,
      'J' = [76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 75,
      'N1' = 76],
     [25 > 1,
      1 is 25 mod 2,
      75 is 3 * 25,
      76 is 75 + 1,
      collatz(76, [76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(25 > 1, builtin, [], []).
step(1 is 25 mod 2, builtin, [], []).
step(75 is 3 * 25, builtin, [], []).
step(76 is 75 + 1, builtin, [], []).
step(collatzTrajectory(946, [946, 473, 1420, 710, 355, 1066, 533, 1600, 800, 400, 200, 100, 50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 946,
      'M' = [946, 473, 1420, 710, 355, 1066, 533, 1600, 800, 400, 200, 100, 50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 54],
     [repeat(1000, 54),
      946 is 1000 - 54,
      collatz(946, [946, 473, 1420, 710, 355, 1066, 533, 1600, 800, 400, 200, 100, 50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 54),
     rule(3),
     ['N' = 1000, 'I' = 54, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 54)]).
step(between(0, 999, 54), builtin, [], []).
step(946 is 1000 - 54, builtin, [], []).
step(collatz(946, [946, 473, 1420, 710, 355, 1066, 533, 1600, 800, 400, 200, 100, 50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 946,
      'J' = [473, 1420, 710, 355, 1066, 533, 1600, 800, 400, 200, 100, 50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 473],
     [946 > 1,
      0 is 946 mod 2,
      473 is 946 // 2,
      collatz(473, [473, 1420, 710, 355, 1066, 533, 1600, 800, 400, 200, 100, 50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(946 > 1, builtin, [], []).
step(0 is 946 mod 2, builtin, [], []).
step(473 is 946 // 2, builtin, [], []).
step(collatz(473, [473, 1420, 710, 355, 1066, 533, 1600, 800, 400, 200, 100, 50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 473,
      'J' = [1420, 710, 355, 1066, 533, 1600, 800, 400, 200, 100, 50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 1419,
      'N1' = 1420],
     [473 > 1,
      1 is 473 mod 2,
      1419 is 3 * 473,
      1420 is 1419 + 1,
      collatz(1420, [1420, 710, 355, 1066, 533, 1600, 800, 400, 200, 100, 50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(473 > 1, builtin, [], []).
step(1 is 473 mod 2, builtin, [], []).
step(1419 is 3 * 473, builtin, [], []).
step(1420 is 1419 + 1, builtin, [], []).
step(collatz(1420, [1420, 710, 355, 1066, 533, 1600, 800, 400, 200, 100, 50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1420,
      'J' = [710, 355, 1066, 533, 1600, 800, 400, 200, 100, 50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 710],
     [1420 > 1,
      0 is 1420 mod 2,
      710 is 1420 // 2,
      collatz(710, [710, 355, 1066, 533, 1600, 800, 400, 200, 100, 50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1420 > 1, builtin, [], []).
step(0 is 1420 mod 2, builtin, [], []).
step(710 is 1420 // 2, builtin, [], []).
step(collatz(710, [710, 355, 1066, 533, 1600, 800, 400, 200, 100, 50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 710,
      'J' = [355, 1066, 533, 1600, 800, 400, 200, 100, 50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 355],
     [710 > 1,
      0 is 710 mod 2,
      355 is 710 // 2,
      collatz(355, [355, 1066, 533, 1600, 800, 400, 200, 100, 50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(710 > 1, builtin, [], []).
step(0 is 710 mod 2, builtin, [], []).
step(355 is 710 // 2, builtin, [], []).
step(collatz(355, [355, 1066, 533, 1600, 800, 400, 200, 100, 50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 355,
      'J' = [1066, 533, 1600, 800, 400, 200, 100, 50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 1065,
      'N1' = 1066],
     [355 > 1,
      1 is 355 mod 2,
      1065 is 3 * 355,
      1066 is 1065 + 1,
      collatz(1066, [1066, 533, 1600, 800, 400, 200, 100, 50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(355 > 1, builtin, [], []).
step(1 is 355 mod 2, builtin, [], []).
step(1065 is 3 * 355, builtin, [], []).
step(1066 is 1065 + 1, builtin, [], []).
step(collatzTrajectory(945, [945, 2836, 1418, 709, 2128, 1064, 532, 266, 133, 400, 200, 100, 50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 945,
      'M' = [945, 2836, 1418, 709, 2128, 1064, 532, 266, 133, 400, 200, 100, 50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 55],
     [repeat(1000, 55),
      945 is 1000 - 55,
      collatz(945, [945, 2836, 1418, 709, 2128, 1064, 532, 266, 133, 400, 200, 100, 50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 55),
     rule(3),
     ['N' = 1000, 'I' = 55, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 55)]).
step(between(0, 999, 55), builtin, [], []).
step(945 is 1000 - 55, builtin, [], []).
step(collatz(945, [945, 2836, 1418, 709, 2128, 1064, 532, 266, 133, 400, 200, 100, 50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 945,
      'J' = [2836, 1418, 709, 2128, 1064, 532, 266, 133, 400, 200, 100, 50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 2835,
      'N1' = 2836],
     [945 > 1,
      1 is 945 mod 2,
      2835 is 3 * 945,
      2836 is 2835 + 1,
      collatz(2836, [2836, 1418, 709, 2128, 1064, 532, 266, 133, 400, 200, 100, 50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(945 > 1, builtin, [], []).
step(1 is 945 mod 2, builtin, [], []).
step(2835 is 3 * 945, builtin, [], []).
step(2836 is 2835 + 1, builtin, [], []).
step(collatz(2836, [2836, 1418, 709, 2128, 1064, 532, 266, 133, 400, 200, 100, 50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 2836,
      'J' = [1418, 709, 2128, 1064, 532, 266, 133, 400, 200, 100, 50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1418],
     [2836 > 1,
      0 is 2836 mod 2,
      1418 is 2836 // 2,
      collatz(1418, [1418, 709, 2128, 1064, 532, 266, 133, 400, 200, 100, 50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2836 > 1, builtin, [], []).
step(0 is 2836 mod 2, builtin, [], []).
step(1418 is 2836 // 2, builtin, [], []).
step(collatz(1418, [1418, 709, 2128, 1064, 532, 266, 133, 400, 200, 100, 50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1418,
      'J' = [709, 2128, 1064, 532, 266, 133, 400, 200, 100, 50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 709],
     [1418 > 1,
      0 is 1418 mod 2,
      709 is 1418 // 2,
      collatz(709, [709, 2128, 1064, 532, 266, 133, 400, 200, 100, 50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1418 > 1, builtin, [], []).
step(0 is 1418 mod 2, builtin, [], []).
step(709 is 1418 // 2, builtin, [], []).
step(collatz(709, [709, 2128, 1064, 532, 266, 133, 400, 200, 100, 50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 709,
      'J' = [2128, 1064, 532, 266, 133, 400, 200, 100, 50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 2127,
      'N1' = 2128],
     [709 > 1,
      1 is 709 mod 2,
      2127 is 3 * 709,
      2128 is 2127 + 1,
      collatz(2128, [2128, 1064, 532, 266, 133, 400, 200, 100, 50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(709 > 1, builtin, [], []).
step(1 is 709 mod 2, builtin, [], []).
step(2127 is 3 * 709, builtin, [], []).
step(2128 is 2127 + 1, builtin, [], []).
step(collatz(2128, [2128, 1064, 532, 266, 133, 400, 200, 100, 50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 2128,
      'J' = [1064, 532, 266, 133, 400, 200, 100, 50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1064],
     [2128 > 1,
      0 is 2128 mod 2,
      1064 is 2128 // 2,
      collatz(1064, [1064, 532, 266, 133, 400, 200, 100, 50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2128 > 1, builtin, [], []).
step(0 is 2128 mod 2, builtin, [], []).
step(1064 is 2128 // 2, builtin, [], []).
step(collatz(1064, [1064, 532, 266, 133, 400, 200, 100, 50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1064,
      'J' = [532, 266, 133, 400, 200, 100, 50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 532],
     [1064 > 1,
      0 is 1064 mod 2,
      532 is 1064 // 2,
      collatz(532, [532, 266, 133, 400, 200, 100, 50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1064 > 1, builtin, [], []).
step(0 is 1064 mod 2, builtin, [], []).
step(532 is 1064 // 2, builtin, [], []).
step(collatz(532, [532, 266, 133, 400, 200, 100, 50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 532,
      'J' = [266, 133, 400, 200, 100, 50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 266],
     [532 > 1,
      0 is 532 mod 2,
      266 is 532 // 2,
      collatz(266, [266, 133, 400, 200, 100, 50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(532 > 1, builtin, [], []).
step(0 is 532 mod 2, builtin, [], []).
step(266 is 532 // 2, builtin, [], []).
step(collatz(266, [266, 133, 400, 200, 100, 50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 266,
      'J' = [133, 400, 200, 100, 50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 133],
     [266 > 1,
      0 is 266 mod 2,
      133 is 266 // 2,
      collatz(133, [133, 400, 200, 100, 50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(266 > 1, builtin, [], []).
step(0 is 266 mod 2, builtin, [], []).
step(133 is 266 // 2, builtin, [], []).
step(collatz(133, [133, 400, 200, 100, 50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 133,
      'J' = [400, 200, 100, 50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 399,
      'N1' = 400],
     [133 > 1,
      1 is 133 mod 2,
      399 is 3 * 133,
      400 is 399 + 1,
      collatz(400, [400, 200, 100, 50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(133 > 1, builtin, [], []).
step(1 is 133 mod 2, builtin, [], []).
step(399 is 3 * 133, builtin, [], []).
step(400 is 399 + 1, builtin, [], []).
step(collatzTrajectory(944, [944, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 944,
      'M' = [944, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 56],
     [repeat(1000, 56),
      944 is 1000 - 56,
      collatz(944, [944, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 56),
     rule(3),
     ['N' = 1000, 'I' = 56, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 56)]).
step(between(0, 999, 56), builtin, [], []).
step(944 is 1000 - 56, builtin, [], []).
step(collatz(944, [944, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 944,
      'J' = [472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 472],
     [944 > 1,
      0 is 944 mod 2,
      472 is 944 // 2,
      collatz(472, [472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(944 > 1, builtin, [], []).
step(0 is 944 mod 2, builtin, [], []).
step(472 is 944 // 2, builtin, [], []).
step(collatzTrajectory(943, [943, 2830, 1415, 4246, 2123, 6370, 3185, 9556, 4778, 2389, 7168, 3584, 1792, 896, 448, 224, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 943,
      'M' = [943, 2830, 1415, 4246, 2123, 6370, 3185, 9556, 4778, 2389, 7168, 3584, 1792, 896, 448, 224, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 57],
     [repeat(1000, 57),
      943 is 1000 - 57,
      collatz(943, [943, 2830, 1415, 4246, 2123, 6370, 3185, 9556, 4778, 2389, 7168, 3584, 1792, 896, 448, 224, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 57),
     rule(3),
     ['N' = 1000, 'I' = 57, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 57)]).
step(between(0, 999, 57), builtin, [], []).
step(943 is 1000 - 57, builtin, [], []).
step(collatz(943, [943, 2830, 1415, 4246, 2123, 6370, 3185, 9556, 4778, 2389, 7168, 3584, 1792, 896, 448, 224, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 943,
      'J' = [2830, 1415, 4246, 2123, 6370, 3185, 9556, 4778, 2389, 7168, 3584, 1792, 896, 448, 224, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 2829,
      'N1' = 2830],
     [943 > 1,
      1 is 943 mod 2,
      2829 is 3 * 943,
      2830 is 2829 + 1,
      collatz(2830, [2830, 1415, 4246, 2123, 6370, 3185, 9556, 4778, 2389, 7168, 3584, 1792, 896, 448, 224, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(943 > 1, builtin, [], []).
step(1 is 943 mod 2, builtin, [], []).
step(2829 is 3 * 943, builtin, [], []).
step(2830 is 2829 + 1, builtin, [], []).
step(collatz(2830, [2830, 1415, 4246, 2123, 6370, 3185, 9556, 4778, 2389, 7168, 3584, 1792, 896, 448, 224, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 2830,
      'J' = [1415, 4246, 2123, 6370, 3185, 9556, 4778, 2389, 7168, 3584, 1792, 896, 448, 224, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1415],
     [2830 > 1,
      0 is 2830 mod 2,
      1415 is 2830 // 2,
      collatz(1415, [1415, 4246, 2123, 6370, 3185, 9556, 4778, 2389, 7168, 3584, 1792, 896, 448, 224, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2830 > 1, builtin, [], []).
step(0 is 2830 mod 2, builtin, [], []).
step(1415 is 2830 // 2, builtin, [], []).
step(collatz(1415, [1415, 4246, 2123, 6370, 3185, 9556, 4778, 2389, 7168, 3584, 1792, 896, 448, 224, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 1415,
      'J' = [4246, 2123, 6370, 3185, 9556, 4778, 2389, 7168, 3584, 1792, 896, 448, 224, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 4245,
      'N1' = 4246],
     [1415 > 1,
      1 is 1415 mod 2,
      4245 is 3 * 1415,
      4246 is 4245 + 1,
      collatz(4246, [4246, 2123, 6370, 3185, 9556, 4778, 2389, 7168, 3584, 1792, 896, 448, 224, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1415 > 1, builtin, [], []).
step(1 is 1415 mod 2, builtin, [], []).
step(4245 is 3 * 1415, builtin, [], []).
step(4246 is 4245 + 1, builtin, [], []).
step(collatz(4246, [4246, 2123, 6370, 3185, 9556, 4778, 2389, 7168, 3584, 1792, 896, 448, 224, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 4246,
      'J' = [2123, 6370, 3185, 9556, 4778, 2389, 7168, 3584, 1792, 896, 448, 224, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 2123],
     [4246 > 1,
      0 is 4246 mod 2,
      2123 is 4246 // 2,
      collatz(2123, [2123, 6370, 3185, 9556, 4778, 2389, 7168, 3584, 1792, 896, 448, 224, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(4246 > 1, builtin, [], []).
step(0 is 4246 mod 2, builtin, [], []).
step(2123 is 4246 // 2, builtin, [], []).
step(collatz(2123, [2123, 6370, 3185, 9556, 4778, 2389, 7168, 3584, 1792, 896, 448, 224, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 2123,
      'J' = [6370, 3185, 9556, 4778, 2389, 7168, 3584, 1792, 896, 448, 224, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 6369,
      'N1' = 6370],
     [2123 > 1,
      1 is 2123 mod 2,
      6369 is 3 * 2123,
      6370 is 6369 + 1,
      collatz(6370, [6370, 3185, 9556, 4778, 2389, 7168, 3584, 1792, 896, 448, 224, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2123 > 1, builtin, [], []).
step(1 is 2123 mod 2, builtin, [], []).
step(6369 is 3 * 2123, builtin, [], []).
step(6370 is 6369 + 1, builtin, [], []).
step(collatz(6370, [6370, 3185, 9556, 4778, 2389, 7168, 3584, 1792, 896, 448, 224, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 6370,
      'J' = [3185, 9556, 4778, 2389, 7168, 3584, 1792, 896, 448, 224, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 3185],
     [6370 > 1,
      0 is 6370 mod 2,
      3185 is 6370 // 2,
      collatz(3185, [3185, 9556, 4778, 2389, 7168, 3584, 1792, 896, 448, 224, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(6370 > 1, builtin, [], []).
step(0 is 6370 mod 2, builtin, [], []).
step(3185 is 6370 // 2, builtin, [], []).
step(collatz(3185, [3185, 9556, 4778, 2389, 7168, 3584, 1792, 896, 448, 224, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 3185,
      'J' = [9556, 4778, 2389, 7168, 3584, 1792, 896, 448, 224, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 9555,
      'N1' = 9556],
     [3185 > 1,
      1 is 3185 mod 2,
      9555 is 3 * 3185,
      9556 is 9555 + 1,
      collatz(9556, [9556, 4778, 2389, 7168, 3584, 1792, 896, 448, 224, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(3185 > 1, builtin, [], []).
step(1 is 3185 mod 2, builtin, [], []).
step(9555 is 3 * 3185, builtin, [], []).
step(9556 is 9555 + 1, builtin, [], []).
step(collatz(9556, [9556, 4778, 2389, 7168, 3584, 1792, 896, 448, 224, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 9556,
      'J' = [4778, 2389, 7168, 3584, 1792, 896, 448, 224, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 4778],
     [9556 > 1,
      0 is 9556 mod 2,
      4778 is 9556 // 2,
      collatz(4778, [4778, 2389, 7168, 3584, 1792, 896, 448, 224, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(9556 > 1, builtin, [], []).
step(0 is 9556 mod 2, builtin, [], []).
step(4778 is 9556 // 2, builtin, [], []).
step(collatz(4778, [4778, 2389, 7168, 3584, 1792, 896, 448, 224, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 4778,
      'J' = [2389, 7168, 3584, 1792, 896, 448, 224, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 2389],
     [4778 > 1,
      0 is 4778 mod 2,
      2389 is 4778 // 2,
      collatz(2389, [2389, 7168, 3584, 1792, 896, 448, 224, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(4778 > 1, builtin, [], []).
step(0 is 4778 mod 2, builtin, [], []).
step(2389 is 4778 // 2, builtin, [], []).
step(collatz(2389, [2389, 7168, 3584, 1792, 896, 448, 224, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 2389,
      'J' = [7168, 3584, 1792, 896, 448, 224, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 7167,
      'N1' = 7168],
     [2389 > 1,
      1 is 2389 mod 2,
      7167 is 3 * 2389,
      7168 is 7167 + 1,
      collatz(7168, [7168, 3584, 1792, 896, 448, 224, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2389 > 1, builtin, [], []).
step(1 is 2389 mod 2, builtin, [], []).
step(7167 is 3 * 2389, builtin, [], []).
step(7168 is 7167 + 1, builtin, [], []).
step(collatz(7168, [7168, 3584, 1792, 896, 448, 224, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 7168,
      'J' = [3584, 1792, 896, 448, 224, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 3584],
     [7168 > 1,
      0 is 7168 mod 2,
      3584 is 7168 // 2,
      collatz(3584, [3584, 1792, 896, 448, 224, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(7168 > 1, builtin, [], []).
step(0 is 7168 mod 2, builtin, [], []).
step(3584 is 7168 // 2, builtin, [], []).
step(collatz(3584, [3584, 1792, 896, 448, 224, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 3584,
      'J' = [1792, 896, 448, 224, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1792],
     [3584 > 1,
      0 is 3584 mod 2,
      1792 is 3584 // 2,
      collatz(1792, [1792, 896, 448, 224, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(3584 > 1, builtin, [], []).
step(0 is 3584 mod 2, builtin, [], []).
step(1792 is 3584 // 2, builtin, [], []).
step(collatz(1792, [1792, 896, 448, 224, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1792,
      'J' = [896, 448, 224, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 896],
     [1792 > 1,
      0 is 1792 mod 2,
      896 is 1792 // 2,
      collatz(896, [896, 448, 224, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1792 > 1, builtin, [], []).
step(0 is 1792 mod 2, builtin, [], []).
step(896 is 1792 // 2, builtin, [], []).
step(collatz(896, [896, 448, 224, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 896,
      'J' = [448, 224, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 448],
     [896 > 1,
      0 is 896 mod 2,
      448 is 896 // 2,
      collatz(448, [448, 224, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(896 > 1, builtin, [], []).
step(0 is 896 mod 2, builtin, [], []).
step(448 is 896 // 2, builtin, [], []).
step(collatz(448, [448, 224, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 448,
      'J' = [224, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 224],
     [448 > 1,
      0 is 448 mod 2,
      224 is 448 // 2,
      collatz(224, [224, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(448 > 1, builtin, [], []).
step(0 is 448 mod 2, builtin, [], []).
step(224 is 448 // 2, builtin, [], []).
step(collatz(224, [224, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 224,
      'J' = [112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 112],
     [224 > 1,
      0 is 224 mod 2,
      112 is 224 // 2,
      collatz(112, [112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(224 > 1, builtin, [], []).
step(0 is 224 mod 2, builtin, [], []).
step(112 is 224 // 2, builtin, [], []).
step(collatzTrajectory(942, [942, 471, 1414, 707, 2122, 1061, 3184, 1592, 796, 398, 199, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 942,
      'M' = [942, 471, 1414, 707, 2122, 1061, 3184, 1592, 796, 398, 199, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 58],
     [repeat(1000, 58),
      942 is 1000 - 58,
      collatz(942, [942, 471, 1414, 707, 2122, 1061, 3184, 1592, 796, 398, 199, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 58),
     rule(3),
     ['N' = 1000, 'I' = 58, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 58)]).
step(between(0, 999, 58), builtin, [], []).
step(942 is 1000 - 58, builtin, [], []).
step(collatz(942, [942, 471, 1414, 707, 2122, 1061, 3184, 1592, 796, 398, 199, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 942,
      'J' = [471, 1414, 707, 2122, 1061, 3184, 1592, 796, 398, 199, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 471],
     [942 > 1,
      0 is 942 mod 2,
      471 is 942 // 2,
      collatz(471, [471, 1414, 707, 2122, 1061, 3184, 1592, 796, 398, 199, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(942 > 1, builtin, [], []).
step(0 is 942 mod 2, builtin, [], []).
step(471 is 942 // 2, builtin, [], []).
step(collatz(471, [471, 1414, 707, 2122, 1061, 3184, 1592, 796, 398, 199, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 471,
      'J' = [1414, 707, 2122, 1061, 3184, 1592, 796, 398, 199, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 1413,
      'N1' = 1414],
     [471 > 1,
      1 is 471 mod 2,
      1413 is 3 * 471,
      1414 is 1413 + 1,
      collatz(1414, [1414, 707, 2122, 1061, 3184, 1592, 796, 398, 199, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(471 > 1, builtin, [], []).
step(1 is 471 mod 2, builtin, [], []).
step(1413 is 3 * 471, builtin, [], []).
step(1414 is 1413 + 1, builtin, [], []).
step(collatz(1414, [1414, 707, 2122, 1061, 3184, 1592, 796, 398, 199, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1414,
      'J' = [707, 2122, 1061, 3184, 1592, 796, 398, 199, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 707],
     [1414 > 1,
      0 is 1414 mod 2,
      707 is 1414 // 2,
      collatz(707, [707, 2122, 1061, 3184, 1592, 796, 398, 199, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1414 > 1, builtin, [], []).
step(0 is 1414 mod 2, builtin, [], []).
step(707 is 1414 // 2, builtin, [], []).
step(collatz(707, [707, 2122, 1061, 3184, 1592, 796, 398, 199, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 707,
      'J' = [2122, 1061, 3184, 1592, 796, 398, 199, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 2121,
      'N1' = 2122],
     [707 > 1,
      1 is 707 mod 2,
      2121 is 3 * 707,
      2122 is 2121 + 1,
      collatz(2122, [2122, 1061, 3184, 1592, 796, 398, 199, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(707 > 1, builtin, [], []).
step(1 is 707 mod 2, builtin, [], []).
step(2121 is 3 * 707, builtin, [], []).
step(2122 is 2121 + 1, builtin, [], []).
step(collatz(2122, [2122, 1061, 3184, 1592, 796, 398, 199, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 2122,
      'J' = [1061, 3184, 1592, 796, 398, 199, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1061],
     [2122 > 1,
      0 is 2122 mod 2,
      1061 is 2122 // 2,
      collatz(1061, [1061, 3184, 1592, 796, 398, 199, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2122 > 1, builtin, [], []).
step(0 is 2122 mod 2, builtin, [], []).
step(1061 is 2122 // 2, builtin, [], []).
step(collatz(1061, [1061, 3184, 1592, 796, 398, 199, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 1061,
      'J' = [3184, 1592, 796, 398, 199, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 3183,
      'N1' = 3184],
     [1061 > 1,
      1 is 1061 mod 2,
      3183 is 3 * 1061,
      3184 is 3183 + 1,
      collatz(3184, [3184, 1592, 796, 398, 199, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1061 > 1, builtin, [], []).
step(1 is 1061 mod 2, builtin, [], []).
step(3183 is 3 * 1061, builtin, [], []).
step(3184 is 3183 + 1, builtin, [], []).
step(collatz(3184, [3184, 1592, 796, 398, 199, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 3184,
      'J' = [1592, 796, 398, 199, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1592],
     [3184 > 1,
      0 is 3184 mod 2,
      1592 is 3184 // 2,
      collatz(1592, [1592, 796, 398, 199, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(3184 > 1, builtin, [], []).
step(0 is 3184 mod 2, builtin, [], []).
step(1592 is 3184 // 2, builtin, [], []).
step(collatz(1592, [1592, 796, 398, 199, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1592,
      'J' = [796, 398, 199, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 796],
     [1592 > 1,
      0 is 1592 mod 2,
      796 is 1592 // 2,
      collatz(796, [796, 398, 199, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1592 > 1, builtin, [], []).
step(0 is 1592 mod 2, builtin, [], []).
step(796 is 1592 // 2, builtin, [], []).
step(collatz(796, [796, 398, 199, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 796,
      'J' = [398, 199, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 398],
     [796 > 1,
      0 is 796 mod 2,
      398 is 796 // 2,
      collatz(398, [398, 199, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(796 > 1, builtin, [], []).
step(0 is 796 mod 2, builtin, [], []).
step(398 is 796 // 2, builtin, [], []).
step(collatz(398, [398, 199, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 398,
      'J' = [199, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 199],
     [398 > 1,
      0 is 398 mod 2,
      199 is 398 // 2,
      collatz(199, [199, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(398 > 1, builtin, [], []).
step(0 is 398 mod 2, builtin, [], []).
step(199 is 398 // 2, builtin, [], []).
step(collatz(199, [199, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 199,
      'J' = [598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 597,
      'N1' = 598],
     [199 > 1,
      1 is 199 mod 2,
      597 is 3 * 199,
      598 is 597 + 1,
      collatz(598, [598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(199 > 1, builtin, [], []).
step(1 is 199 mod 2, builtin, [], []).
step(597 is 3 * 199, builtin, [], []).
step(598 is 597 + 1, builtin, [], []).
step(collatz(598, [598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 598,
      'J' = [299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 299],
     [598 > 1,
      0 is 598 mod 2,
      299 is 598 // 2,
      collatz(299, [299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(598 > 1, builtin, [], []).
step(0 is 598 mod 2, builtin, [], []).
step(299 is 598 // 2, builtin, [], []).
step(collatz(299, [299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 299,
      'J' = [898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 897,
      'N1' = 898],
     [299 > 1,
      1 is 299 mod 2,
      897 is 3 * 299,
      898 is 897 + 1,
      collatz(898, [898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(299 > 1, builtin, [], []).
step(1 is 299 mod 2, builtin, [], []).
step(897 is 3 * 299, builtin, [], []).
step(898 is 897 + 1, builtin, [], []).
step(collatz(898, [898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 898,
      'J' = [449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 449],
     [898 > 1,
      0 is 898 mod 2,
      449 is 898 // 2,
      collatz(449, [449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(898 > 1, builtin, [], []).
step(0 is 898 mod 2, builtin, [], []).
step(449 is 898 // 2, builtin, [], []).
step(collatz(449, [449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 449,
      'J' = [1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 1347,
      'N1' = 1348],
     [449 > 1,
      1 is 449 mod 2,
      1347 is 3 * 449,
      1348 is 1347 + 1,
      collatz(1348, [1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(449 > 1, builtin, [], []).
step(1 is 449 mod 2, builtin, [], []).
step(1347 is 3 * 449, builtin, [], []).
step(1348 is 1347 + 1, builtin, [], []).
step(collatz(1348, [1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1348,
      'J' = [674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 674],
     [1348 > 1,
      0 is 1348 mod 2,
      674 is 1348 // 2,
      collatz(674, [674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1348 > 1, builtin, [], []).
step(0 is 1348 mod 2, builtin, [], []).
step(674 is 1348 // 2, builtin, [], []).
step(collatz(674, [674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 674,
      'J' = [337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 337],
     [674 > 1,
      0 is 674 mod 2,
      337 is 674 // 2,
      collatz(337, [337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(674 > 1, builtin, [], []).
step(0 is 674 mod 2, builtin, [], []).
step(337 is 674 // 2, builtin, [], []).
step(collatz(337, [337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 337,
      'J' = [1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 1011,
      'N1' = 1012],
     [337 > 1,
      1 is 337 mod 2,
      1011 is 3 * 337,
      1012 is 1011 + 1,
      collatz(1012, [1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(337 > 1, builtin, [], []).
step(1 is 337 mod 2, builtin, [], []).
step(1011 is 3 * 337, builtin, [], []).
step(1012 is 1011 + 1, builtin, [], []).
step(collatz(1012, [1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1012,
      'J' = [506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 506],
     [1012 > 1,
      0 is 1012 mod 2,
      506 is 1012 // 2,
      collatz(506, [506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1012 > 1, builtin, [], []).
step(0 is 1012 mod 2, builtin, [], []).
step(506 is 1012 // 2, builtin, [], []).
step(collatz(506, [506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 506,
      'J' = [253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 253],
     [506 > 1,
      0 is 506 mod 2,
      253 is 506 // 2,
      collatz(253, [253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(506 > 1, builtin, [], []).
step(0 is 506 mod 2, builtin, [], []).
step(253 is 506 // 2, builtin, [], []).
step(collatz(253, [253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 253,
      'J' = [760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 759,
      'N1' = 760],
     [253 > 1,
      1 is 253 mod 2,
      759 is 3 * 253,
      760 is 759 + 1,
      collatz(760, [760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(253 > 1, builtin, [], []).
step(1 is 253 mod 2, builtin, [], []).
step(759 is 3 * 253, builtin, [], []).
step(760 is 759 + 1, builtin, [], []).
step(collatz(760, [760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 760,
      'J' = [380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 380],
     [760 > 1,
      0 is 760 mod 2,
      380 is 760 // 2,
      collatz(380, [380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(760 > 1, builtin, [], []).
step(0 is 760 mod 2, builtin, [], []).
step(380 is 760 // 2, builtin, [], []).
step(collatz(380, [380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 380,
      'J' = [190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 190],
     [380 > 1,
      0 is 380 mod 2,
      190 is 380 // 2,
      collatz(190, [190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(380 > 1, builtin, [], []).
step(0 is 380 mod 2, builtin, [], []).
step(190 is 380 // 2, builtin, [], []).
step(collatz(190, [190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 190,
      'J' = [95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 95],
     [190 > 1,
      0 is 190 mod 2,
      95 is 190 // 2,
      collatz(95, [95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(190 > 1, builtin, [], []).
step(0 is 190 mod 2, builtin, [], []).
step(95 is 190 // 2, builtin, [], []).
step(collatz(95, [95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 95,
      'J' = [286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 285,
      'N1' = 286],
     [95 > 1,
      1 is 95 mod 2,
      285 is 3 * 95,
      286 is 285 + 1,
      collatz(286, [286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(95 > 1, builtin, [], []).
step(1 is 95 mod 2, builtin, [], []).
step(285 is 3 * 95, builtin, [], []).
step(286 is 285 + 1, builtin, [], []).
step(collatz(286, [286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 286,
      'J' = [143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 143],
     [286 > 1,
      0 is 286 mod 2,
      143 is 286 // 2,
      collatz(143, [143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(286 > 1, builtin, [], []).
step(0 is 286 mod 2, builtin, [], []).
step(143 is 286 // 2, builtin, [], []).
step(collatz(143, [143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 143,
      'J' = [430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 429,
      'N1' = 430],
     [143 > 1,
      1 is 143 mod 2,
      429 is 3 * 143,
      430 is 429 + 1,
      collatz(430, [430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(143 > 1, builtin, [], []).
step(1 is 143 mod 2, builtin, [], []).
step(429 is 3 * 143, builtin, [], []).
step(430 is 429 + 1, builtin, [], []).
step(collatz(430, [430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 430,
      'J' = [215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 215],
     [430 > 1,
      0 is 430 mod 2,
      215 is 430 // 2,
      collatz(215, [215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(430 > 1, builtin, [], []).
step(0 is 430 mod 2, builtin, [], []).
step(215 is 430 // 2, builtin, [], []).
step(collatz(215, [215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 215,
      'J' = [646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 645,
      'N1' = 646],
     [215 > 1,
      1 is 215 mod 2,
      645 is 3 * 215,
      646 is 645 + 1,
      collatz(646, [646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(215 > 1, builtin, [], []).
step(1 is 215 mod 2, builtin, [], []).
step(645 is 3 * 215, builtin, [], []).
step(646 is 645 + 1, builtin, [], []).
step(collatz(646, [646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 646,
      'J' = [323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 323],
     [646 > 1,
      0 is 646 mod 2,
      323 is 646 // 2,
      collatz(323, [323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(646 > 1, builtin, [], []).
step(0 is 646 mod 2, builtin, [], []).
step(323 is 646 // 2, builtin, [], []).
step(collatz(323, [323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 323,
      'J' = [970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 969,
      'N1' = 970],
     [323 > 1,
      1 is 323 mod 2,
      969 is 3 * 323,
      970 is 969 + 1,
      collatz(970, [970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(323 > 1, builtin, [], []).
step(1 is 323 mod 2, builtin, [], []).
step(969 is 3 * 323, builtin, [], []).
step(970 is 969 + 1, builtin, [], []).
step(collatzTrajectory(941, [941, 2824, 1412, 706, 353, 1060, 530, 265, 796, 398, 199, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 941,
      'M' = [941, 2824, 1412, 706, 353, 1060, 530, 265, 796, 398, 199, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 59],
     [repeat(1000, 59),
      941 is 1000 - 59,
      collatz(941, [941, 2824, 1412, 706, 353, 1060, 530, 265, 796, 398, 199, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 59),
     rule(3),
     ['N' = 1000, 'I' = 59, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 59)]).
step(between(0, 999, 59), builtin, [], []).
step(941 is 1000 - 59, builtin, [], []).
step(collatz(941, [941, 2824, 1412, 706, 353, 1060, 530, 265, 796, 398, 199, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 941,
      'J' = [2824, 1412, 706, 353, 1060, 530, 265, 796, 398, 199, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 2823,
      'N1' = 2824],
     [941 > 1,
      1 is 941 mod 2,
      2823 is 3 * 941,
      2824 is 2823 + 1,
      collatz(2824, [2824, 1412, 706, 353, 1060, 530, 265, 796, 398, 199, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(941 > 1, builtin, [], []).
step(1 is 941 mod 2, builtin, [], []).
step(2823 is 3 * 941, builtin, [], []).
step(2824 is 2823 + 1, builtin, [], []).
step(collatz(2824, [2824, 1412, 706, 353, 1060, 530, 265, 796, 398, 199, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 2824,
      'J' = [1412, 706, 353, 1060, 530, 265, 796, 398, 199, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1412],
     [2824 > 1,
      0 is 2824 mod 2,
      1412 is 2824 // 2,
      collatz(1412, [1412, 706, 353, 1060, 530, 265, 796, 398, 199, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2824 > 1, builtin, [], []).
step(0 is 2824 mod 2, builtin, [], []).
step(1412 is 2824 // 2, builtin, [], []).
step(collatz(1412, [1412, 706, 353, 1060, 530, 265, 796, 398, 199, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1412,
      'J' = [706, 353, 1060, 530, 265, 796, 398, 199, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 706],
     [1412 > 1,
      0 is 1412 mod 2,
      706 is 1412 // 2,
      collatz(706, [706, 353, 1060, 530, 265, 796, 398, 199, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1412 > 1, builtin, [], []).
step(0 is 1412 mod 2, builtin, [], []).
step(706 is 1412 // 2, builtin, [], []).
step(collatz(706, [706, 353, 1060, 530, 265, 796, 398, 199, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 706,
      'J' = [353, 1060, 530, 265, 796, 398, 199, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 353],
     [706 > 1,
      0 is 706 mod 2,
      353 is 706 // 2,
      collatz(353, [353, 1060, 530, 265, 796, 398, 199, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(706 > 1, builtin, [], []).
step(0 is 706 mod 2, builtin, [], []).
step(353 is 706 // 2, builtin, [], []).
step(collatz(353, [353, 1060, 530, 265, 796, 398, 199, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 353,
      'J' = [1060, 530, 265, 796, 398, 199, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 1059,
      'N1' = 1060],
     [353 > 1,
      1 is 353 mod 2,
      1059 is 3 * 353,
      1060 is 1059 + 1,
      collatz(1060, [1060, 530, 265, 796, 398, 199, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(353 > 1, builtin, [], []).
step(1 is 353 mod 2, builtin, [], []).
step(1059 is 3 * 353, builtin, [], []).
step(1060 is 1059 + 1, builtin, [], []).
step(collatz(1060, [1060, 530, 265, 796, 398, 199, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1060,
      'J' = [530, 265, 796, 398, 199, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 530],
     [1060 > 1,
      0 is 1060 mod 2,
      530 is 1060 // 2,
      collatz(530, [530, 265, 796, 398, 199, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1060 > 1, builtin, [], []).
step(0 is 1060 mod 2, builtin, [], []).
step(530 is 1060 // 2, builtin, [], []).
step(collatz(530, [530, 265, 796, 398, 199, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 530,
      'J' = [265, 796, 398, 199, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 265],
     [530 > 1,
      0 is 530 mod 2,
      265 is 530 // 2,
      collatz(265, [265, 796, 398, 199, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(530 > 1, builtin, [], []).
step(0 is 530 mod 2, builtin, [], []).
step(265 is 530 // 2, builtin, [], []).
step(collatz(265, [265, 796, 398, 199, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 265,
      'J' = [796, 398, 199, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 795,
      'N1' = 796],
     [265 > 1,
      1 is 265 mod 2,
      795 is 3 * 265,
      796 is 795 + 1,
      collatz(796, [796, 398, 199, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(265 > 1, builtin, [], []).
step(1 is 265 mod 2, builtin, [], []).
step(795 is 3 * 265, builtin, [], []).
step(796 is 795 + 1, builtin, [], []).
step(collatzTrajectory(940, [940, 470, 235, 706, 353, 1060, 530, 265, 796, 398, 199, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 940,
      'M' = [940, 470, 235, 706, 353, 1060, 530, 265, 796, 398, 199, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 60],
     [repeat(1000, 60),
      940 is 1000 - 60,
      collatz(940, [940, 470, 235, 706, 353, 1060, 530, 265, 796, 398, 199, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 60),
     rule(3),
     ['N' = 1000, 'I' = 60, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 60)]).
step(between(0, 999, 60), builtin, [], []).
step(940 is 1000 - 60, builtin, [], []).
step(collatz(940, [940, 470, 235, 706, 353, 1060, 530, 265, 796, 398, 199, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 940,
      'J' = [470, 235, 706, 353, 1060, 530, 265, 796, 398, 199, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 470],
     [940 > 1,
      0 is 940 mod 2,
      470 is 940 // 2,
      collatz(470, [470, 235, 706, 353, 1060, 530, 265, 796, 398, 199, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(940 > 1, builtin, [], []).
step(0 is 940 mod 2, builtin, [], []).
step(470 is 940 // 2, builtin, [], []).
step(collatz(470, [470, 235, 706, 353, 1060, 530, 265, 796, 398, 199, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 470,
      'J' = [235, 706, 353, 1060, 530, 265, 796, 398, 199, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 235],
     [470 > 1,
      0 is 470 mod 2,
      235 is 470 // 2,
      collatz(235, [235, 706, 353, 1060, 530, 265, 796, 398, 199, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(470 > 1, builtin, [], []).
step(0 is 470 mod 2, builtin, [], []).
step(235 is 470 // 2, builtin, [], []).
step(collatz(235, [235, 706, 353, 1060, 530, 265, 796, 398, 199, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 235,
      'J' = [706, 353, 1060, 530, 265, 796, 398, 199, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 705,
      'N1' = 706],
     [235 > 1,
      1 is 235 mod 2,
      705 is 3 * 235,
      706 is 705 + 1,
      collatz(706, [706, 353, 1060, 530, 265, 796, 398, 199, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(235 > 1, builtin, [], []).
step(1 is 235 mod 2, builtin, [], []).
step(705 is 3 * 235, builtin, [], []).
step(706 is 705 + 1, builtin, [], []).
step(collatzTrajectory(939, [939, 2818, 1409, 4228, 2114, 1057, 3172, 1586, 793, 2380, 1190, 595, 1786, 893, 2680, 1340, 670, 335, 1006, 503, 1510, 755, 2266, 1133, 3400, 1700, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 939,
      'M' = [939, 2818, 1409, 4228, 2114, 1057, 3172, 1586, 793, 2380, 1190, 595, 1786, 893, 2680, 1340, 670, 335, 1006, 503, 1510, 755, 2266, 1133, 3400, 1700, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 61],
     [repeat(1000, 61),
      939 is 1000 - 61,
      collatz(939, [939, 2818, 1409, 4228, 2114, 1057, 3172, 1586, 793, 2380, 1190, 595, 1786, 893, 2680, 1340, 670, 335, 1006, 503, 1510, 755, 2266, 1133, 3400, 1700, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 61),
     rule(3),
     ['N' = 1000, 'I' = 61, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 61)]).
step(between(0, 999, 61), builtin, [], []).
step(939 is 1000 - 61, builtin, [], []).
step(collatz(939, [939, 2818, 1409, 4228, 2114, 1057, 3172, 1586, 793, 2380, 1190, 595, 1786, 893, 2680, 1340, 670, 335, 1006, 503, 1510, 755, 2266, 1133, 3400, 1700, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 939,
      'J' = [2818, 1409, 4228, 2114, 1057, 3172, 1586, 793, 2380, 1190, 595, 1786, 893, 2680, 1340, 670, 335, 1006, 503, 1510, 755, 2266, 1133, 3400, 1700, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 2817,
      'N1' = 2818],
     [939 > 1,
      1 is 939 mod 2,
      2817 is 3 * 939,
      2818 is 2817 + 1,
      collatz(2818, [2818, 1409, 4228, 2114, 1057, 3172, 1586, 793, 2380, 1190, 595, 1786, 893, 2680, 1340, 670, 335, 1006, 503, 1510, 755, 2266, 1133, 3400, 1700, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(939 > 1, builtin, [], []).
step(1 is 939 mod 2, builtin, [], []).
step(2817 is 3 * 939, builtin, [], []).
step(2818 is 2817 + 1, builtin, [], []).
step(collatz(2818, [2818, 1409, 4228, 2114, 1057, 3172, 1586, 793, 2380, 1190, 595, 1786, 893, 2680, 1340, 670, 335, 1006, 503, 1510, 755, 2266, 1133, 3400, 1700, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 2818,
      'J' = [1409, 4228, 2114, 1057, 3172, 1586, 793, 2380, 1190, 595, 1786, 893, 2680, 1340, 670, 335, 1006, 503, 1510, 755, 2266, 1133, 3400, 1700, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1409],
     [2818 > 1,
      0 is 2818 mod 2,
      1409 is 2818 // 2,
      collatz(1409, [1409, 4228, 2114, 1057, 3172, 1586, 793, 2380, 1190, 595, 1786, 893, 2680, 1340, 670, 335, 1006, 503, 1510, 755, 2266, 1133, 3400, 1700, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2818 > 1, builtin, [], []).
step(0 is 2818 mod 2, builtin, [], []).
step(1409 is 2818 // 2, builtin, [], []).
step(collatz(1409, [1409, 4228, 2114, 1057, 3172, 1586, 793, 2380, 1190, 595, 1786, 893, 2680, 1340, 670, 335, 1006, 503, 1510, 755, 2266, 1133, 3400, 1700, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 1409,
      'J' = [4228, 2114, 1057, 3172, 1586, 793, 2380, 1190, 595, 1786, 893, 2680, 1340, 670, 335, 1006, 503, 1510, 755, 2266, 1133, 3400, 1700, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 4227,
      'N1' = 4228],
     [1409 > 1,
      1 is 1409 mod 2,
      4227 is 3 * 1409,
      4228 is 4227 + 1,
      collatz(4228, [4228, 2114, 1057, 3172, 1586, 793, 2380, 1190, 595, 1786, 893, 2680, 1340, 670, 335, 1006, 503, 1510, 755, 2266, 1133, 3400, 1700, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1409 > 1, builtin, [], []).
step(1 is 1409 mod 2, builtin, [], []).
step(4227 is 3 * 1409, builtin, [], []).
step(4228 is 4227 + 1, builtin, [], []).
step(collatz(4228, [4228, 2114, 1057, 3172, 1586, 793, 2380, 1190, 595, 1786, 893, 2680, 1340, 670, 335, 1006, 503, 1510, 755, 2266, 1133, 3400, 1700, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 4228,
      'J' = [2114, 1057, 3172, 1586, 793, 2380, 1190, 595, 1786, 893, 2680, 1340, 670, 335, 1006, 503, 1510, 755, 2266, 1133, 3400, 1700, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 2114],
     [4228 > 1,
      0 is 4228 mod 2,
      2114 is 4228 // 2,
      collatz(2114, [2114, 1057, 3172, 1586, 793, 2380, 1190, 595, 1786, 893, 2680, 1340, 670, 335, 1006, 503, 1510, 755, 2266, 1133, 3400, 1700, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(4228 > 1, builtin, [], []).
step(0 is 4228 mod 2, builtin, [], []).
step(2114 is 4228 // 2, builtin, [], []).
step(collatz(2114, [2114, 1057, 3172, 1586, 793, 2380, 1190, 595, 1786, 893, 2680, 1340, 670, 335, 1006, 503, 1510, 755, 2266, 1133, 3400, 1700, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 2114,
      'J' = [1057, 3172, 1586, 793, 2380, 1190, 595, 1786, 893, 2680, 1340, 670, 335, 1006, 503, 1510, 755, 2266, 1133, 3400, 1700, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1057],
     [2114 > 1,
      0 is 2114 mod 2,
      1057 is 2114 // 2,
      collatz(1057, [1057, 3172, 1586, 793, 2380, 1190, 595, 1786, 893, 2680, 1340, 670, 335, 1006, 503, 1510, 755, 2266, 1133, 3400, 1700, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2114 > 1, builtin, [], []).
step(0 is 2114 mod 2, builtin, [], []).
step(1057 is 2114 // 2, builtin, [], []).
step(collatz(1057, [1057, 3172, 1586, 793, 2380, 1190, 595, 1786, 893, 2680, 1340, 670, 335, 1006, 503, 1510, 755, 2266, 1133, 3400, 1700, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 1057,
      'J' = [3172, 1586, 793, 2380, 1190, 595, 1786, 893, 2680, 1340, 670, 335, 1006, 503, 1510, 755, 2266, 1133, 3400, 1700, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 3171,
      'N1' = 3172],
     [1057 > 1,
      1 is 1057 mod 2,
      3171 is 3 * 1057,
      3172 is 3171 + 1,
      collatz(3172, [3172, 1586, 793, 2380, 1190, 595, 1786, 893, 2680, 1340, 670, 335, 1006, 503, 1510, 755, 2266, 1133, 3400, 1700, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1057 > 1, builtin, [], []).
step(1 is 1057 mod 2, builtin, [], []).
step(3171 is 3 * 1057, builtin, [], []).
step(3172 is 3171 + 1, builtin, [], []).
step(collatz(3172, [3172, 1586, 793, 2380, 1190, 595, 1786, 893, 2680, 1340, 670, 335, 1006, 503, 1510, 755, 2266, 1133, 3400, 1700, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 3172,
      'J' = [1586, 793, 2380, 1190, 595, 1786, 893, 2680, 1340, 670, 335, 1006, 503, 1510, 755, 2266, 1133, 3400, 1700, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1586],
     [3172 > 1,
      0 is 3172 mod 2,
      1586 is 3172 // 2,
      collatz(1586, [1586, 793, 2380, 1190, 595, 1786, 893, 2680, 1340, 670, 335, 1006, 503, 1510, 755, 2266, 1133, 3400, 1700, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(3172 > 1, builtin, [], []).
step(0 is 3172 mod 2, builtin, [], []).
step(1586 is 3172 // 2, builtin, [], []).
step(collatz(1586, [1586, 793, 2380, 1190, 595, 1786, 893, 2680, 1340, 670, 335, 1006, 503, 1510, 755, 2266, 1133, 3400, 1700, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1586,
      'J' = [793, 2380, 1190, 595, 1786, 893, 2680, 1340, 670, 335, 1006, 503, 1510, 755, 2266, 1133, 3400, 1700, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 793],
     [1586 > 1,
      0 is 1586 mod 2,
      793 is 1586 // 2,
      collatz(793, [793, 2380, 1190, 595, 1786, 893, 2680, 1340, 670, 335, 1006, 503, 1510, 755, 2266, 1133, 3400, 1700, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1586 > 1, builtin, [], []).
step(0 is 1586 mod 2, builtin, [], []).
step(793 is 1586 // 2, builtin, [], []).
step(collatz(793, [793, 2380, 1190, 595, 1786, 893, 2680, 1340, 670, 335, 1006, 503, 1510, 755, 2266, 1133, 3400, 1700, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 793,
      'J' = [2380, 1190, 595, 1786, 893, 2680, 1340, 670, 335, 1006, 503, 1510, 755, 2266, 1133, 3400, 1700, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 2379,
      'N1' = 2380],
     [793 > 1,
      1 is 793 mod 2,
      2379 is 3 * 793,
      2380 is 2379 + 1,
      collatz(2380, [2380, 1190, 595, 1786, 893, 2680, 1340, 670, 335, 1006, 503, 1510, 755, 2266, 1133, 3400, 1700, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(793 > 1, builtin, [], []).
step(1 is 793 mod 2, builtin, [], []).
step(2379 is 3 * 793, builtin, [], []).
step(2380 is 2379 + 1, builtin, [], []).
step(collatz(2380, [2380, 1190, 595, 1786, 893, 2680, 1340, 670, 335, 1006, 503, 1510, 755, 2266, 1133, 3400, 1700, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 2380,
      'J' = [1190, 595, 1786, 893, 2680, 1340, 670, 335, 1006, 503, 1510, 755, 2266, 1133, 3400, 1700, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1190],
     [2380 > 1,
      0 is 2380 mod 2,
      1190 is 2380 // 2,
      collatz(1190, [1190, 595, 1786, 893, 2680, 1340, 670, 335, 1006, 503, 1510, 755, 2266, 1133, 3400, 1700, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2380 > 1, builtin, [], []).
step(0 is 2380 mod 2, builtin, [], []).
step(1190 is 2380 // 2, builtin, [], []).
step(collatz(1190, [1190, 595, 1786, 893, 2680, 1340, 670, 335, 1006, 503, 1510, 755, 2266, 1133, 3400, 1700, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1190,
      'J' = [595, 1786, 893, 2680, 1340, 670, 335, 1006, 503, 1510, 755, 2266, 1133, 3400, 1700, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 595],
     [1190 > 1,
      0 is 1190 mod 2,
      595 is 1190 // 2,
      collatz(595, [595, 1786, 893, 2680, 1340, 670, 335, 1006, 503, 1510, 755, 2266, 1133, 3400, 1700, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1190 > 1, builtin, [], []).
step(0 is 1190 mod 2, builtin, [], []).
step(595 is 1190 // 2, builtin, [], []).
step(collatz(595, [595, 1786, 893, 2680, 1340, 670, 335, 1006, 503, 1510, 755, 2266, 1133, 3400, 1700, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 595,
      'J' = [1786, 893, 2680, 1340, 670, 335, 1006, 503, 1510, 755, 2266, 1133, 3400, 1700, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 1785,
      'N1' = 1786],
     [595 > 1,
      1 is 595 mod 2,
      1785 is 3 * 595,
      1786 is 1785 + 1,
      collatz(1786, [1786, 893, 2680, 1340, 670, 335, 1006, 503, 1510, 755, 2266, 1133, 3400, 1700, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(595 > 1, builtin, [], []).
step(1 is 595 mod 2, builtin, [], []).
step(1785 is 3 * 595, builtin, [], []).
step(1786 is 1785 + 1, builtin, [], []).
step(collatz(1786, [1786, 893, 2680, 1340, 670, 335, 1006, 503, 1510, 755, 2266, 1133, 3400, 1700, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1786,
      'J' = [893, 2680, 1340, 670, 335, 1006, 503, 1510, 755, 2266, 1133, 3400, 1700, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 893],
     [1786 > 1,
      0 is 1786 mod 2,
      893 is 1786 // 2,
      collatz(893, [893, 2680, 1340, 670, 335, 1006, 503, 1510, 755, 2266, 1133, 3400, 1700, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1786 > 1, builtin, [], []).
step(0 is 1786 mod 2, builtin, [], []).
step(893 is 1786 // 2, builtin, [], []).
step(collatz(893, [893, 2680, 1340, 670, 335, 1006, 503, 1510, 755, 2266, 1133, 3400, 1700, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 893,
      'J' = [2680, 1340, 670, 335, 1006, 503, 1510, 755, 2266, 1133, 3400, 1700, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 2679,
      'N1' = 2680],
     [893 > 1,
      1 is 893 mod 2,
      2679 is 3 * 893,
      2680 is 2679 + 1,
      collatz(2680, [2680, 1340, 670, 335, 1006, 503, 1510, 755, 2266, 1133, 3400, 1700, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(893 > 1, builtin, [], []).
step(1 is 893 mod 2, builtin, [], []).
step(2679 is 3 * 893, builtin, [], []).
step(2680 is 2679 + 1, builtin, [], []).
step(collatz(2680, [2680, 1340, 670, 335, 1006, 503, 1510, 755, 2266, 1133, 3400, 1700, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 2680,
      'J' = [1340, 670, 335, 1006, 503, 1510, 755, 2266, 1133, 3400, 1700, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1340],
     [2680 > 1,
      0 is 2680 mod 2,
      1340 is 2680 // 2,
      collatz(1340, [1340, 670, 335, 1006, 503, 1510, 755, 2266, 1133, 3400, 1700, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2680 > 1, builtin, [], []).
step(0 is 2680 mod 2, builtin, [], []).
step(1340 is 2680 // 2, builtin, [], []).
step(collatz(1340, [1340, 670, 335, 1006, 503, 1510, 755, 2266, 1133, 3400, 1700, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1340,
      'J' = [670, 335, 1006, 503, 1510, 755, 2266, 1133, 3400, 1700, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 670],
     [1340 > 1,
      0 is 1340 mod 2,
      670 is 1340 // 2,
      collatz(670, [670, 335, 1006, 503, 1510, 755, 2266, 1133, 3400, 1700, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1340 > 1, builtin, [], []).
step(0 is 1340 mod 2, builtin, [], []).
step(670 is 1340 // 2, builtin, [], []).
step(collatz(670, [670, 335, 1006, 503, 1510, 755, 2266, 1133, 3400, 1700, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 670,
      'J' = [335, 1006, 503, 1510, 755, 2266, 1133, 3400, 1700, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 335],
     [670 > 1,
      0 is 670 mod 2,
      335 is 670 // 2,
      collatz(335, [335, 1006, 503, 1510, 755, 2266, 1133, 3400, 1700, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(670 > 1, builtin, [], []).
step(0 is 670 mod 2, builtin, [], []).
step(335 is 670 // 2, builtin, [], []).
step(collatz(335, [335, 1006, 503, 1510, 755, 2266, 1133, 3400, 1700, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 335,
      'J' = [1006, 503, 1510, 755, 2266, 1133, 3400, 1700, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 1005,
      'N1' = 1006],
     [335 > 1,
      1 is 335 mod 2,
      1005 is 3 * 335,
      1006 is 1005 + 1,
      collatz(1006, [1006, 503, 1510, 755, 2266, 1133, 3400, 1700, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(335 > 1, builtin, [], []).
step(1 is 335 mod 2, builtin, [], []).
step(1005 is 3 * 335, builtin, [], []).
step(1006 is 1005 + 1, builtin, [], []).
step(collatz(1006, [1006, 503, 1510, 755, 2266, 1133, 3400, 1700, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1006,
      'J' = [503, 1510, 755, 2266, 1133, 3400, 1700, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 503],
     [1006 > 1,
      0 is 1006 mod 2,
      503 is 1006 // 2,
      collatz(503, [503, 1510, 755, 2266, 1133, 3400, 1700, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1006 > 1, builtin, [], []).
step(0 is 1006 mod 2, builtin, [], []).
step(503 is 1006 // 2, builtin, [], []).
step(collatz(503, [503, 1510, 755, 2266, 1133, 3400, 1700, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 503,
      'J' = [1510, 755, 2266, 1133, 3400, 1700, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 1509,
      'N1' = 1510],
     [503 > 1,
      1 is 503 mod 2,
      1509 is 3 * 503,
      1510 is 1509 + 1,
      collatz(1510, [1510, 755, 2266, 1133, 3400, 1700, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(503 > 1, builtin, [], []).
step(1 is 503 mod 2, builtin, [], []).
step(1509 is 3 * 503, builtin, [], []).
step(1510 is 1509 + 1, builtin, [], []).
step(collatz(1510, [1510, 755, 2266, 1133, 3400, 1700, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1510,
      'J' = [755, 2266, 1133, 3400, 1700, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 755],
     [1510 > 1,
      0 is 1510 mod 2,
      755 is 1510 // 2,
      collatz(755, [755, 2266, 1133, 3400, 1700, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1510 > 1, builtin, [], []).
step(0 is 1510 mod 2, builtin, [], []).
step(755 is 1510 // 2, builtin, [], []).
step(collatz(755, [755, 2266, 1133, 3400, 1700, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 755,
      'J' = [2266, 1133, 3400, 1700, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 2265,
      'N1' = 2266],
     [755 > 1,
      1 is 755 mod 2,
      2265 is 3 * 755,
      2266 is 2265 + 1,
      collatz(2266, [2266, 1133, 3400, 1700, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(755 > 1, builtin, [], []).
step(1 is 755 mod 2, builtin, [], []).
step(2265 is 3 * 755, builtin, [], []).
step(2266 is 2265 + 1, builtin, [], []).
step(collatz(2266, [2266, 1133, 3400, 1700, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 2266,
      'J' = [1133, 3400, 1700, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1133],
     [2266 > 1,
      0 is 2266 mod 2,
      1133 is 2266 // 2,
      collatz(1133, [1133, 3400, 1700, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2266 > 1, builtin, [], []).
step(0 is 2266 mod 2, builtin, [], []).
step(1133 is 2266 // 2, builtin, [], []).
step(collatz(1133, [1133, 3400, 1700, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 1133,
      'J' = [3400, 1700, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 3399,
      'N1' = 3400],
     [1133 > 1,
      1 is 1133 mod 2,
      3399 is 3 * 1133,
      3400 is 3399 + 1,
      collatz(3400, [3400, 1700, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1133 > 1, builtin, [], []).
step(1 is 1133 mod 2, builtin, [], []).
step(3399 is 3 * 1133, builtin, [], []).
step(3400 is 3399 + 1, builtin, [], []).
step(collatz(3400, [3400, 1700, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 3400,
      'J' = [1700, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1700],
     [3400 > 1,
      0 is 3400 mod 2,
      1700 is 3400 // 2,
      collatz(1700, [1700, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(3400 > 1, builtin, [], []).
step(0 is 3400 mod 2, builtin, [], []).
step(1700 is 3400 // 2, builtin, [], []).
step(collatz(1700, [1700, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1700,
      'J' = [850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 850],
     [1700 > 1,
      0 is 1700 mod 2,
      850 is 1700 // 2,
      collatz(850, [850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1700 > 1, builtin, [], []).
step(0 is 1700 mod 2, builtin, [], []).
step(850 is 1700 // 2, builtin, [], []).
step(collatzTrajectory(938, [938, 469, 1408, 704, 352, 176, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 938,
      'M' = [938, 469, 1408, 704, 352, 176, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 62],
     [repeat(1000, 62),
      938 is 1000 - 62,
      collatz(938, [938, 469, 1408, 704, 352, 176, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 62),
     rule(3),
     ['N' = 1000, 'I' = 62, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 62)]).
step(between(0, 999, 62), builtin, [], []).
step(938 is 1000 - 62, builtin, [], []).
step(collatzTrajectory(937, [937, 2812, 1406, 703, 2110, 1055, 3166, 1583, 4750, 2375, 7126, 3563, 10690, 5345, 16036, 8018, 4009, 12028, 6014, 3007, 9022, 4511, 13534, 6767, 20302, 10151, 30454, 15227, 45682, 22841, 68524, 34262, 17131, 51394, 25697, 77092, 38546, 19273, 57820, 28910, 14455, 43366, 21683, 65050, 32525, 97576, 48788, 24394, 12197, 36592, 18296, 9148, 4574, 2287, 6862, 3431, 10294, 5147, 15442, 7721, 23164, 11582, 5791, 17374, 8687, 26062, 13031, 39094, 19547, 58642, 29321, 87964, 43982, 21991, 65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 937,
      'M' = [937, 2812, 1406, 703, 2110, 1055, 3166, 1583, 4750, 2375, 7126, 3563, 10690, 5345, 16036, 8018, 4009, 12028, 6014, 3007, 9022, 4511, 13534, 6767, 20302, 10151, 30454, 15227, 45682, 22841, 68524, 34262, 17131, 51394, 25697, 77092, 38546, 19273, 57820, 28910, 14455, 43366, 21683, 65050, 32525, 97576, 48788, 24394, 12197, 36592, 18296, 9148, 4574, 2287, 6862, 3431, 10294, 5147, 15442, 7721, 23164, 11582, 5791, 17374, 8687, 26062, 13031, 39094, 19547, 58642, 29321, 87964, 43982, 21991, 65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 63],
     [repeat(1000, 63),
      937 is 1000 - 63,
      collatz(937, [937, 2812, 1406, 703, 2110, 1055, 3166, 1583, 4750, 2375, 7126, 3563, 10690, 5345, 16036, 8018, 4009, 12028, 6014, 3007, 9022, 4511, 13534, 6767, 20302, 10151, 30454, 15227, 45682, 22841, 68524, 34262, 17131, 51394, 25697, 77092, 38546, 19273, 57820, 28910, 14455, 43366, 21683, 65050, 32525, 97576, 48788, 24394, 12197, 36592, 18296, 9148, 4574, 2287, 6862, 3431, 10294, 5147, 15442, 7721, 23164, 11582, 5791, 17374, 8687, 26062, 13031, 39094, 19547, 58642, 29321, 87964, 43982, 21991, 65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 63),
     rule(3),
     ['N' = 1000, 'I' = 63, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 63)]).
step(between(0, 999, 63), builtin, [], []).
step(937 is 1000 - 63, builtin, [], []).
step(collatz(937, [937, 2812, 1406, 703, 2110, 1055, 3166, 1583, 4750, 2375, 7126, 3563, 10690, 5345, 16036, 8018, 4009, 12028, 6014, 3007, 9022, 4511, 13534, 6767, 20302, 10151, 30454, 15227, 45682, 22841, 68524, 34262, 17131, 51394, 25697, 77092, 38546, 19273, 57820, 28910, 14455, 43366, 21683, 65050, 32525, 97576, 48788, 24394, 12197, 36592, 18296, 9148, 4574, 2287, 6862, 3431, 10294, 5147, 15442, 7721, 23164, 11582, 5791, 17374, 8687, 26062, 13031, 39094, 19547, 58642, 29321, 87964, 43982, 21991, 65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 937,
      'J' = [2812, 1406, 703, 2110, 1055, 3166, 1583, 4750, 2375, 7126, 3563, 10690, 5345, 16036, 8018, 4009, 12028, 6014, 3007, 9022, 4511, 13534, 6767, 20302, 10151, 30454, 15227, 45682, 22841, 68524, 34262, 17131, 51394, 25697, 77092, 38546, 19273, 57820, 28910, 14455, 43366, 21683, 65050, 32525, 97576, 48788, 24394, 12197, 36592, 18296, 9148, 4574, 2287, 6862, 3431, 10294, 5147, 15442, 7721, 23164, 11582, 5791, 17374, 8687, 26062, 13031, 39094, 19547, 58642, 29321, 87964, 43982, 21991, 65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 2811,
      'N1' = 2812],
     [937 > 1,
      1 is 937 mod 2,
      2811 is 3 * 937,
      2812 is 2811 + 1,
      collatz(2812, [2812, 1406, 703, 2110, 1055, 3166, 1583, 4750, 2375, 7126, 3563, 10690, 5345, 16036, 8018, 4009, 12028, 6014, 3007, 9022, 4511, 13534, 6767, 20302, 10151, 30454, 15227, 45682, 22841, 68524, 34262, 17131, 51394, 25697, 77092, 38546, 19273, 57820, 28910, 14455, 43366, 21683, 65050, 32525, 97576, 48788, 24394, 12197, 36592, 18296, 9148, 4574, 2287, 6862, 3431, 10294, 5147, 15442, 7721, 23164, 11582, 5791, 17374, 8687, 26062, 13031, 39094, 19547, 58642, 29321, 87964, 43982, 21991, 65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(937 > 1, builtin, [], []).
step(1 is 937 mod 2, builtin, [], []).
step(2811 is 3 * 937, builtin, [], []).
step(2812 is 2811 + 1, builtin, [], []).
step(collatz(2812, [2812, 1406, 703, 2110, 1055, 3166, 1583, 4750, 2375, 7126, 3563, 10690, 5345, 16036, 8018, 4009, 12028, 6014, 3007, 9022, 4511, 13534, 6767, 20302, 10151, 30454, 15227, 45682, 22841, 68524, 34262, 17131, 51394, 25697, 77092, 38546, 19273, 57820, 28910, 14455, 43366, 21683, 65050, 32525, 97576, 48788, 24394, 12197, 36592, 18296, 9148, 4574, 2287, 6862, 3431, 10294, 5147, 15442, 7721, 23164, 11582, 5791, 17374, 8687, 26062, 13031, 39094, 19547, 58642, 29321, 87964, 43982, 21991, 65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 2812,
      'J' = [1406, 703, 2110, 1055, 3166, 1583, 4750, 2375, 7126, 3563, 10690, 5345, 16036, 8018, 4009, 12028, 6014, 3007, 9022, 4511, 13534, 6767, 20302, 10151, 30454, 15227, 45682, 22841, 68524, 34262, 17131, 51394, 25697, 77092, 38546, 19273, 57820, 28910, 14455, 43366, 21683, 65050, 32525, 97576, 48788, 24394, 12197, 36592, 18296, 9148, 4574, 2287, 6862, 3431, 10294, 5147, 15442, 7721, 23164, 11582, 5791, 17374, 8687, 26062, 13031, 39094, 19547, 58642, 29321, 87964, 43982, 21991, 65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1406],
     [2812 > 1,
      0 is 2812 mod 2,
      1406 is 2812 // 2,
      collatz(1406, [1406, 703, 2110, 1055, 3166, 1583, 4750, 2375, 7126, 3563, 10690, 5345, 16036, 8018, 4009, 12028, 6014, 3007, 9022, 4511, 13534, 6767, 20302, 10151, 30454, 15227, 45682, 22841, 68524, 34262, 17131, 51394, 25697, 77092, 38546, 19273, 57820, 28910, 14455, 43366, 21683, 65050, 32525, 97576, 48788, 24394, 12197, 36592, 18296, 9148, 4574, 2287, 6862, 3431, 10294, 5147, 15442, 7721, 23164, 11582, 5791, 17374, 8687, 26062, 13031, 39094, 19547, 58642, 29321, 87964, 43982, 21991, 65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2812 > 1, builtin, [], []).
step(0 is 2812 mod 2, builtin, [], []).
step(1406 is 2812 // 2, builtin, [], []).
step(collatz(1406, [1406, 703, 2110, 1055, 3166, 1583, 4750, 2375, 7126, 3563, 10690, 5345, 16036, 8018, 4009, 12028, 6014, 3007, 9022, 4511, 13534, 6767, 20302, 10151, 30454, 15227, 45682, 22841, 68524, 34262, 17131, 51394, 25697, 77092, 38546, 19273, 57820, 28910, 14455, 43366, 21683, 65050, 32525, 97576, 48788, 24394, 12197, 36592, 18296, 9148, 4574, 2287, 6862, 3431, 10294, 5147, 15442, 7721, 23164, 11582, 5791, 17374, 8687, 26062, 13031, 39094, 19547, 58642, 29321, 87964, 43982, 21991, 65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1406,
      'J' = [703, 2110, 1055, 3166, 1583, 4750, 2375, 7126, 3563, 10690, 5345, 16036, 8018, 4009, 12028, 6014, 3007, 9022, 4511, 13534, 6767, 20302, 10151, 30454, 15227, 45682, 22841, 68524, 34262, 17131, 51394, 25697, 77092, 38546, 19273, 57820, 28910, 14455, 43366, 21683, 65050, 32525, 97576, 48788, 24394, 12197, 36592, 18296, 9148, 4574, 2287, 6862, 3431, 10294, 5147, 15442, 7721, 23164, 11582, 5791, 17374, 8687, 26062, 13031, 39094, 19547, 58642, 29321, 87964, 43982, 21991, 65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 703],
     [1406 > 1,
      0 is 1406 mod 2,
      703 is 1406 // 2,
      collatz(703, [703, 2110, 1055, 3166, 1583, 4750, 2375, 7126, 3563, 10690, 5345, 16036, 8018, 4009, 12028, 6014, 3007, 9022, 4511, 13534, 6767, 20302, 10151, 30454, 15227, 45682, 22841, 68524, 34262, 17131, 51394, 25697, 77092, 38546, 19273, 57820, 28910, 14455, 43366, 21683, 65050, 32525, 97576, 48788, 24394, 12197, 36592, 18296, 9148, 4574, 2287, 6862, 3431, 10294, 5147, 15442, 7721, 23164, 11582, 5791, 17374, 8687, 26062, 13031, 39094, 19547, 58642, 29321, 87964, 43982, 21991, 65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1406 > 1, builtin, [], []).
step(0 is 1406 mod 2, builtin, [], []).
step(703 is 1406 // 2, builtin, [], []).
step(collatz(703, [703, 2110, 1055, 3166, 1583, 4750, 2375, 7126, 3563, 10690, 5345, 16036, 8018, 4009, 12028, 6014, 3007, 9022, 4511, 13534, 6767, 20302, 10151, 30454, 15227, 45682, 22841, 68524, 34262, 17131, 51394, 25697, 77092, 38546, 19273, 57820, 28910, 14455, 43366, 21683, 65050, 32525, 97576, 48788, 24394, 12197, 36592, 18296, 9148, 4574, 2287, 6862, 3431, 10294, 5147, 15442, 7721, 23164, 11582, 5791, 17374, 8687, 26062, 13031, 39094, 19547, 58642, 29321, 87964, 43982, 21991, 65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 703,
      'J' = [2110, 1055, 3166, 1583, 4750, 2375, 7126, 3563, 10690, 5345, 16036, 8018, 4009, 12028, 6014, 3007, 9022, 4511, 13534, 6767, 20302, 10151, 30454, 15227, 45682, 22841, 68524, 34262, 17131, 51394, 25697, 77092, 38546, 19273, 57820, 28910, 14455, 43366, 21683, 65050, 32525, 97576, 48788, 24394, 12197, 36592, 18296, 9148, 4574, 2287, 6862, 3431, 10294, 5147, 15442, 7721, 23164, 11582, 5791, 17374, 8687, 26062, 13031, 39094, 19547, 58642, 29321, 87964, 43982, 21991, 65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 2109,
      'N1' = 2110],
     [703 > 1,
      1 is 703 mod 2,
      2109 is 3 * 703,
      2110 is 2109 + 1,
      collatz(2110, [2110, 1055, 3166, 1583, 4750, 2375, 7126, 3563, 10690, 5345, 16036, 8018, 4009, 12028, 6014, 3007, 9022, 4511, 13534, 6767, 20302, 10151, 30454, 15227, 45682, 22841, 68524, 34262, 17131, 51394, 25697, 77092, 38546, 19273, 57820, 28910, 14455, 43366, 21683, 65050, 32525, 97576, 48788, 24394, 12197, 36592, 18296, 9148, 4574, 2287, 6862, 3431, 10294, 5147, 15442, 7721, 23164, 11582, 5791, 17374, 8687, 26062, 13031, 39094, 19547, 58642, 29321, 87964, 43982, 21991, 65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(703 > 1, builtin, [], []).
step(1 is 703 mod 2, builtin, [], []).
step(2109 is 3 * 703, builtin, [], []).
step(2110 is 2109 + 1, builtin, [], []).
step(collatz(2110, [2110, 1055, 3166, 1583, 4750, 2375, 7126, 3563, 10690, 5345, 16036, 8018, 4009, 12028, 6014, 3007, 9022, 4511, 13534, 6767, 20302, 10151, 30454, 15227, 45682, 22841, 68524, 34262, 17131, 51394, 25697, 77092, 38546, 19273, 57820, 28910, 14455, 43366, 21683, 65050, 32525, 97576, 48788, 24394, 12197, 36592, 18296, 9148, 4574, 2287, 6862, 3431, 10294, 5147, 15442, 7721, 23164, 11582, 5791, 17374, 8687, 26062, 13031, 39094, 19547, 58642, 29321, 87964, 43982, 21991, 65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 2110,
      'J' = [1055, 3166, 1583, 4750, 2375, 7126, 3563, 10690, 5345, 16036, 8018, 4009, 12028, 6014, 3007, 9022, 4511, 13534, 6767, 20302, 10151, 30454, 15227, 45682, 22841, 68524, 34262, 17131, 51394, 25697, 77092, 38546, 19273, 57820, 28910, 14455, 43366, 21683, 65050, 32525, 97576, 48788, 24394, 12197, 36592, 18296, 9148, 4574, 2287, 6862, 3431, 10294, 5147, 15442, 7721, 23164, 11582, 5791, 17374, 8687, 26062, 13031, 39094, 19547, 58642, 29321, 87964, 43982, 21991, 65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1055],
     [2110 > 1,
      0 is 2110 mod 2,
      1055 is 2110 // 2,
      collatz(1055, [1055, 3166, 1583, 4750, 2375, 7126, 3563, 10690, 5345, 16036, 8018, 4009, 12028, 6014, 3007, 9022, 4511, 13534, 6767, 20302, 10151, 30454, 15227, 45682, 22841, 68524, 34262, 17131, 51394, 25697, 77092, 38546, 19273, 57820, 28910, 14455, 43366, 21683, 65050, 32525, 97576, 48788, 24394, 12197, 36592, 18296, 9148, 4574, 2287, 6862, 3431, 10294, 5147, 15442, 7721, 23164, 11582, 5791, 17374, 8687, 26062, 13031, 39094, 19547, 58642, 29321, 87964, 43982, 21991, 65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2110 > 1, builtin, [], []).
step(0 is 2110 mod 2, builtin, [], []).
step(1055 is 2110 // 2, builtin, [], []).
step(collatz(1055, [1055, 3166, 1583, 4750, 2375, 7126, 3563, 10690, 5345, 16036, 8018, 4009, 12028, 6014, 3007, 9022, 4511, 13534, 6767, 20302, 10151, 30454, 15227, 45682, 22841, 68524, 34262, 17131, 51394, 25697, 77092, 38546, 19273, 57820, 28910, 14455, 43366, 21683, 65050, 32525, 97576, 48788, 24394, 12197, 36592, 18296, 9148, 4574, 2287, 6862, 3431, 10294, 5147, 15442, 7721, 23164, 11582, 5791, 17374, 8687, 26062, 13031, 39094, 19547, 58642, 29321, 87964, 43982, 21991, 65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 1055,
      'J' = [3166, 1583, 4750, 2375, 7126, 3563, 10690, 5345, 16036, 8018, 4009, 12028, 6014, 3007, 9022, 4511, 13534, 6767, 20302, 10151, 30454, 15227, 45682, 22841, 68524, 34262, 17131, 51394, 25697, 77092, 38546, 19273, 57820, 28910, 14455, 43366, 21683, 65050, 32525, 97576, 48788, 24394, 12197, 36592, 18296, 9148, 4574, 2287, 6862, 3431, 10294, 5147, 15442, 7721, 23164, 11582, 5791, 17374, 8687, 26062, 13031, 39094, 19547, 58642, 29321, 87964, 43982, 21991, 65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 3165,
      'N1' = 3166],
     [1055 > 1,
      1 is 1055 mod 2,
      3165 is 3 * 1055,
      3166 is 3165 + 1,
      collatz(3166, [3166, 1583, 4750, 2375, 7126, 3563, 10690, 5345, 16036, 8018, 4009, 12028, 6014, 3007, 9022, 4511, 13534, 6767, 20302, 10151, 30454, 15227, 45682, 22841, 68524, 34262, 17131, 51394, 25697, 77092, 38546, 19273, 57820, 28910, 14455, 43366, 21683, 65050, 32525, 97576, 48788, 24394, 12197, 36592, 18296, 9148, 4574, 2287, 6862, 3431, 10294, 5147, 15442, 7721, 23164, 11582, 5791, 17374, 8687, 26062, 13031, 39094, 19547, 58642, 29321, 87964, 43982, 21991, 65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1055 > 1, builtin, [], []).
step(1 is 1055 mod 2, builtin, [], []).
step(3165 is 3 * 1055, builtin, [], []).
step(3166 is 3165 + 1, builtin, [], []).
step(collatz(3166, [3166, 1583, 4750, 2375, 7126, 3563, 10690, 5345, 16036, 8018, 4009, 12028, 6014, 3007, 9022, 4511, 13534, 6767, 20302, 10151, 30454, 15227, 45682, 22841, 68524, 34262, 17131, 51394, 25697, 77092, 38546, 19273, 57820, 28910, 14455, 43366, 21683, 65050, 32525, 97576, 48788, 24394, 12197, 36592, 18296, 9148, 4574, 2287, 6862, 3431, 10294, 5147, 15442, 7721, 23164, 11582, 5791, 17374, 8687, 26062, 13031, 39094, 19547, 58642, 29321, 87964, 43982, 21991, 65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 3166,
      'J' = [1583, 4750, 2375, 7126, 3563, 10690, 5345, 16036, 8018, 4009, 12028, 6014, 3007, 9022, 4511, 13534, 6767, 20302, 10151, 30454, 15227, 45682, 22841, 68524, 34262, 17131, 51394, 25697, 77092, 38546, 19273, 57820, 28910, 14455, 43366, 21683, 65050, 32525, 97576, 48788, 24394, 12197, 36592, 18296, 9148, 4574, 2287, 6862, 3431, 10294, 5147, 15442, 7721, 23164, 11582, 5791, 17374, 8687, 26062, 13031, 39094, 19547, 58642, 29321, 87964, 43982, 21991, 65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1583],
     [3166 > 1,
      0 is 3166 mod 2,
      1583 is 3166 // 2,
      collatz(1583, [1583, 4750, 2375, 7126, 3563, 10690, 5345, 16036, 8018, 4009, 12028, 6014, 3007, 9022, 4511, 13534, 6767, 20302, 10151, 30454, 15227, 45682, 22841, 68524, 34262, 17131, 51394, 25697, 77092, 38546, 19273, 57820, 28910, 14455, 43366, 21683, 65050, 32525, 97576, 48788, 24394, 12197, 36592, 18296, 9148, 4574, 2287, 6862, 3431, 10294, 5147, 15442, 7721, 23164, 11582, 5791, 17374, 8687, 26062, 13031, 39094, 19547, 58642, 29321, 87964, 43982, 21991, 65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(3166 > 1, builtin, [], []).
step(0 is 3166 mod 2, builtin, [], []).
step(1583 is 3166 // 2, builtin, [], []).
step(collatz(1583, [1583, 4750, 2375, 7126, 3563, 10690, 5345, 16036, 8018, 4009, 12028, 6014, 3007, 9022, 4511, 13534, 6767, 20302, 10151, 30454, 15227, 45682, 22841, 68524, 34262, 17131, 51394, 25697, 77092, 38546, 19273, 57820, 28910, 14455, 43366, 21683, 65050, 32525, 97576, 48788, 24394, 12197, 36592, 18296, 9148, 4574, 2287, 6862, 3431, 10294, 5147, 15442, 7721, 23164, 11582, 5791, 17374, 8687, 26062, 13031, 39094, 19547, 58642, 29321, 87964, 43982, 21991, 65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 1583,
      'J' = [4750, 2375, 7126, 3563, 10690, 5345, 16036, 8018, 4009, 12028, 6014, 3007, 9022, 4511, 13534, 6767, 20302, 10151, 30454, 15227, 45682, 22841, 68524, 34262, 17131, 51394, 25697, 77092, 38546, 19273, 57820, 28910, 14455, 43366, 21683, 65050, 32525, 97576, 48788, 24394, 12197, 36592, 18296, 9148, 4574, 2287, 6862, 3431, 10294, 5147, 15442, 7721, 23164, 11582, 5791, 17374, 8687, 26062, 13031, 39094, 19547, 58642, 29321, 87964, 43982, 21991, 65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 4749,
      'N1' = 4750],
     [1583 > 1,
      1 is 1583 mod 2,
      4749 is 3 * 1583,
      4750 is 4749 + 1,
      collatz(4750, [4750, 2375, 7126, 3563, 10690, 5345, 16036, 8018, 4009, 12028, 6014, 3007, 9022, 4511, 13534, 6767, 20302, 10151, 30454, 15227, 45682, 22841, 68524, 34262, 17131, 51394, 25697, 77092, 38546, 19273, 57820, 28910, 14455, 43366, 21683, 65050, 32525, 97576, 48788, 24394, 12197, 36592, 18296, 9148, 4574, 2287, 6862, 3431, 10294, 5147, 15442, 7721, 23164, 11582, 5791, 17374, 8687, 26062, 13031, 39094, 19547, 58642, 29321, 87964, 43982, 21991, 65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1583 > 1, builtin, [], []).
step(1 is 1583 mod 2, builtin, [], []).
step(4749 is 3 * 1583, builtin, [], []).
step(4750 is 4749 + 1, builtin, [], []).
step(collatz(4750, [4750, 2375, 7126, 3563, 10690, 5345, 16036, 8018, 4009, 12028, 6014, 3007, 9022, 4511, 13534, 6767, 20302, 10151, 30454, 15227, 45682, 22841, 68524, 34262, 17131, 51394, 25697, 77092, 38546, 19273, 57820, 28910, 14455, 43366, 21683, 65050, 32525, 97576, 48788, 24394, 12197, 36592, 18296, 9148, 4574, 2287, 6862, 3431, 10294, 5147, 15442, 7721, 23164, 11582, 5791, 17374, 8687, 26062, 13031, 39094, 19547, 58642, 29321, 87964, 43982, 21991, 65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 4750,
      'J' = [2375, 7126, 3563, 10690, 5345, 16036, 8018, 4009, 12028, 6014, 3007, 9022, 4511, 13534, 6767, 20302, 10151, 30454, 15227, 45682, 22841, 68524, 34262, 17131, 51394, 25697, 77092, 38546, 19273, 57820, 28910, 14455, 43366, 21683, 65050, 32525, 97576, 48788, 24394, 12197, 36592, 18296, 9148, 4574, 2287, 6862, 3431, 10294, 5147, 15442, 7721, 23164, 11582, 5791, 17374, 8687, 26062, 13031, 39094, 19547, 58642, 29321, 87964, 43982, 21991, 65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 2375],
     [4750 > 1,
      0 is 4750 mod 2,
      2375 is 4750 // 2,
      collatz(2375, [2375, 7126, 3563, 10690, 5345, 16036, 8018, 4009, 12028, 6014, 3007, 9022, 4511, 13534, 6767, 20302, 10151, 30454, 15227, 45682, 22841, 68524, 34262, 17131, 51394, 25697, 77092, 38546, 19273, 57820, 28910, 14455, 43366, 21683, 65050, 32525, 97576, 48788, 24394, 12197, 36592, 18296, 9148, 4574, 2287, 6862, 3431, 10294, 5147, 15442, 7721, 23164, 11582, 5791, 17374, 8687, 26062, 13031, 39094, 19547, 58642, 29321, 87964, 43982, 21991, 65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(4750 > 1, builtin, [], []).
step(0 is 4750 mod 2, builtin, [], []).
step(2375 is 4750 // 2, builtin, [], []).
step(collatz(2375, [2375, 7126, 3563, 10690, 5345, 16036, 8018, 4009, 12028, 6014, 3007, 9022, 4511, 13534, 6767, 20302, 10151, 30454, 15227, 45682, 22841, 68524, 34262, 17131, 51394, 25697, 77092, 38546, 19273, 57820, 28910, 14455, 43366, 21683, 65050, 32525, 97576, 48788, 24394, 12197, 36592, 18296, 9148, 4574, 2287, 6862, 3431, 10294, 5147, 15442, 7721, 23164, 11582, 5791, 17374, 8687, 26062, 13031, 39094, 19547, 58642, 29321, 87964, 43982, 21991, 65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 2375,
      'J' = [7126, 3563, 10690, 5345, 16036, 8018, 4009, 12028, 6014, 3007, 9022, 4511, 13534, 6767, 20302, 10151, 30454, 15227, 45682, 22841, 68524, 34262, 17131, 51394, 25697, 77092, 38546, 19273, 57820, 28910, 14455, 43366, 21683, 65050, 32525, 97576, 48788, 24394, 12197, 36592, 18296, 9148, 4574, 2287, 6862, 3431, 10294, 5147, 15442, 7721, 23164, 11582, 5791, 17374, 8687, 26062, 13031, 39094, 19547, 58642, 29321, 87964, 43982, 21991, 65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 7125,
      'N1' = 7126],
     [2375 > 1,
      1 is 2375 mod 2,
      7125 is 3 * 2375,
      7126 is 7125 + 1,
      collatz(7126, [7126, 3563, 10690, 5345, 16036, 8018, 4009, 12028, 6014, 3007, 9022, 4511, 13534, 6767, 20302, 10151, 30454, 15227, 45682, 22841, 68524, 34262, 17131, 51394, 25697, 77092, 38546, 19273, 57820, 28910, 14455, 43366, 21683, 65050, 32525, 97576, 48788, 24394, 12197, 36592, 18296, 9148, 4574, 2287, 6862, 3431, 10294, 5147, 15442, 7721, 23164, 11582, 5791, 17374, 8687, 26062, 13031, 39094, 19547, 58642, 29321, 87964, 43982, 21991, 65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2375 > 1, builtin, [], []).
step(1 is 2375 mod 2, builtin, [], []).
step(7125 is 3 * 2375, builtin, [], []).
step(7126 is 7125 + 1, builtin, [], []).
step(collatz(7126, [7126, 3563, 10690, 5345, 16036, 8018, 4009, 12028, 6014, 3007, 9022, 4511, 13534, 6767, 20302, 10151, 30454, 15227, 45682, 22841, 68524, 34262, 17131, 51394, 25697, 77092, 38546, 19273, 57820, 28910, 14455, 43366, 21683, 65050, 32525, 97576, 48788, 24394, 12197, 36592, 18296, 9148, 4574, 2287, 6862, 3431, 10294, 5147, 15442, 7721, 23164, 11582, 5791, 17374, 8687, 26062, 13031, 39094, 19547, 58642, 29321, 87964, 43982, 21991, 65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 7126,
      'J' = [3563, 10690, 5345, 16036, 8018, 4009, 12028, 6014, 3007, 9022, 4511, 13534, 6767, 20302, 10151, 30454, 15227, 45682, 22841, 68524, 34262, 17131, 51394, 25697, 77092, 38546, 19273, 57820, 28910, 14455, 43366, 21683, 65050, 32525, 97576, 48788, 24394, 12197, 36592, 18296, 9148, 4574, 2287, 6862, 3431, 10294, 5147, 15442, 7721, 23164, 11582, 5791, 17374, 8687, 26062, 13031, 39094, 19547, 58642, 29321, 87964, 43982, 21991, 65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 3563],
     [7126 > 1,
      0 is 7126 mod 2,
      3563 is 7126 // 2,
      collatz(3563, [3563, 10690, 5345, 16036, 8018, 4009, 12028, 6014, 3007, 9022, 4511, 13534, 6767, 20302, 10151, 30454, 15227, 45682, 22841, 68524, 34262, 17131, 51394, 25697, 77092, 38546, 19273, 57820, 28910, 14455, 43366, 21683, 65050, 32525, 97576, 48788, 24394, 12197, 36592, 18296, 9148, 4574, 2287, 6862, 3431, 10294, 5147, 15442, 7721, 23164, 11582, 5791, 17374, 8687, 26062, 13031, 39094, 19547, 58642, 29321, 87964, 43982, 21991, 65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(7126 > 1, builtin, [], []).
step(0 is 7126 mod 2, builtin, [], []).
step(3563 is 7126 // 2, builtin, [], []).
step(collatz(3563, [3563, 10690, 5345, 16036, 8018, 4009, 12028, 6014, 3007, 9022, 4511, 13534, 6767, 20302, 10151, 30454, 15227, 45682, 22841, 68524, 34262, 17131, 51394, 25697, 77092, 38546, 19273, 57820, 28910, 14455, 43366, 21683, 65050, 32525, 97576, 48788, 24394, 12197, 36592, 18296, 9148, 4574, 2287, 6862, 3431, 10294, 5147, 15442, 7721, 23164, 11582, 5791, 17374, 8687, 26062, 13031, 39094, 19547, 58642, 29321, 87964, 43982, 21991, 65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 3563,
      'J' = [10690, 5345, 16036, 8018, 4009, 12028, 6014, 3007, 9022, 4511, 13534, 6767, 20302, 10151, 30454, 15227, 45682, 22841, 68524, 34262, 17131, 51394, 25697, 77092, 38546, 19273, 57820, 28910, 14455, 43366, 21683, 65050, 32525, 97576, 48788, 24394, 12197, 36592, 18296, 9148, 4574, 2287, 6862, 3431, 10294, 5147, 15442, 7721, 23164, 11582, 5791, 17374, 8687, 26062, 13031, 39094, 19547, 58642, 29321, 87964, 43982, 21991, 65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 10689,
      'N1' = 10690],
     [3563 > 1,
      1 is 3563 mod 2,
      10689 is 3 * 3563,
      10690 is 10689 + 1,
      collatz(10690, [10690, 5345, 16036, 8018, 4009, 12028, 6014, 3007, 9022, 4511, 13534, 6767, 20302, 10151, 30454, 15227, 45682, 22841, 68524, 34262, 17131, 51394, 25697, 77092, 38546, 19273, 57820, 28910, 14455, 43366, 21683, 65050, 32525, 97576, 48788, 24394, 12197, 36592, 18296, 9148, 4574, 2287, 6862, 3431, 10294, 5147, 15442, 7721, 23164, 11582, 5791, 17374, 8687, 26062, 13031, 39094, 19547, 58642, 29321, 87964, 43982, 21991, 65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(3563 > 1, builtin, [], []).
step(1 is 3563 mod 2, builtin, [], []).
step(10689 is 3 * 3563, builtin, [], []).
step(10690 is 10689 + 1, builtin, [], []).
step(collatz(10690, [10690, 5345, 16036, 8018, 4009, 12028, 6014, 3007, 9022, 4511, 13534, 6767, 20302, 10151, 30454, 15227, 45682, 22841, 68524, 34262, 17131, 51394, 25697, 77092, 38546, 19273, 57820, 28910, 14455, 43366, 21683, 65050, 32525, 97576, 48788, 24394, 12197, 36592, 18296, 9148, 4574, 2287, 6862, 3431, 10294, 5147, 15442, 7721, 23164, 11582, 5791, 17374, 8687, 26062, 13031, 39094, 19547, 58642, 29321, 87964, 43982, 21991, 65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 10690,
      'J' = [5345, 16036, 8018, 4009, 12028, 6014, 3007, 9022, 4511, 13534, 6767, 20302, 10151, 30454, 15227, 45682, 22841, 68524, 34262, 17131, 51394, 25697, 77092, 38546, 19273, 57820, 28910, 14455, 43366, 21683, 65050, 32525, 97576, 48788, 24394, 12197, 36592, 18296, 9148, 4574, 2287, 6862, 3431, 10294, 5147, 15442, 7721, 23164, 11582, 5791, 17374, 8687, 26062, 13031, 39094, 19547, 58642, 29321, 87964, 43982, 21991, 65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 5345],
     [10690 > 1,
      0 is 10690 mod 2,
      5345 is 10690 // 2,
      collatz(5345, [5345, 16036, 8018, 4009, 12028, 6014, 3007, 9022, 4511, 13534, 6767, 20302, 10151, 30454, 15227, 45682, 22841, 68524, 34262, 17131, 51394, 25697, 77092, 38546, 19273, 57820, 28910, 14455, 43366, 21683, 65050, 32525, 97576, 48788, 24394, 12197, 36592, 18296, 9148, 4574, 2287, 6862, 3431, 10294, 5147, 15442, 7721, 23164, 11582, 5791, 17374, 8687, 26062, 13031, 39094, 19547, 58642, 29321, 87964, 43982, 21991, 65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(10690 > 1, builtin, [], []).
step(0 is 10690 mod 2, builtin, [], []).
step(5345 is 10690 // 2, builtin, [], []).
step(collatz(5345, [5345, 16036, 8018, 4009, 12028, 6014, 3007, 9022, 4511, 13534, 6767, 20302, 10151, 30454, 15227, 45682, 22841, 68524, 34262, 17131, 51394, 25697, 77092, 38546, 19273, 57820, 28910, 14455, 43366, 21683, 65050, 32525, 97576, 48788, 24394, 12197, 36592, 18296, 9148, 4574, 2287, 6862, 3431, 10294, 5147, 15442, 7721, 23164, 11582, 5791, 17374, 8687, 26062, 13031, 39094, 19547, 58642, 29321, 87964, 43982, 21991, 65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 5345,
      'J' = [16036, 8018, 4009, 12028, 6014, 3007, 9022, 4511, 13534, 6767, 20302, 10151, 30454, 15227, 45682, 22841, 68524, 34262, 17131, 51394, 25697, 77092, 38546, 19273, 57820, 28910, 14455, 43366, 21683, 65050, 32525, 97576, 48788, 24394, 12197, 36592, 18296, 9148, 4574, 2287, 6862, 3431, 10294, 5147, 15442, 7721, 23164, 11582, 5791, 17374, 8687, 26062, 13031, 39094, 19547, 58642, 29321, 87964, 43982, 21991, 65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 16035,
      'N1' = 16036],
     [5345 > 1,
      1 is 5345 mod 2,
      16035 is 3 * 5345,
      16036 is 16035 + 1,
      collatz(16036, [16036, 8018, 4009, 12028, 6014, 3007, 9022, 4511, 13534, 6767, 20302, 10151, 30454, 15227, 45682, 22841, 68524, 34262, 17131, 51394, 25697, 77092, 38546, 19273, 57820, 28910, 14455, 43366, 21683, 65050, 32525, 97576, 48788, 24394, 12197, 36592, 18296, 9148, 4574, 2287, 6862, 3431, 10294, 5147, 15442, 7721, 23164, 11582, 5791, 17374, 8687, 26062, 13031, 39094, 19547, 58642, 29321, 87964, 43982, 21991, 65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(5345 > 1, builtin, [], []).
step(1 is 5345 mod 2, builtin, [], []).
step(16035 is 3 * 5345, builtin, [], []).
step(16036 is 16035 + 1, builtin, [], []).
step(collatz(16036, [16036, 8018, 4009, 12028, 6014, 3007, 9022, 4511, 13534, 6767, 20302, 10151, 30454, 15227, 45682, 22841, 68524, 34262, 17131, 51394, 25697, 77092, 38546, 19273, 57820, 28910, 14455, 43366, 21683, 65050, 32525, 97576, 48788, 24394, 12197, 36592, 18296, 9148, 4574, 2287, 6862, 3431, 10294, 5147, 15442, 7721, 23164, 11582, 5791, 17374, 8687, 26062, 13031, 39094, 19547, 58642, 29321, 87964, 43982, 21991, 65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 16036,
      'J' = [8018, 4009, 12028, 6014, 3007, 9022, 4511, 13534, 6767, 20302, 10151, 30454, 15227, 45682, 22841, 68524, 34262, 17131, 51394, 25697, 77092, 38546, 19273, 57820, 28910, 14455, 43366, 21683, 65050, 32525, 97576, 48788, 24394, 12197, 36592, 18296, 9148, 4574, 2287, 6862, 3431, 10294, 5147, 15442, 7721, 23164, 11582, 5791, 17374, 8687, 26062, 13031, 39094, 19547, 58642, 29321, 87964, 43982, 21991, 65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 8018],
     [16036 > 1,
      0 is 16036 mod 2,
      8018 is 16036 // 2,
      collatz(8018, [8018, 4009, 12028, 6014, 3007, 9022, 4511, 13534, 6767, 20302, 10151, 30454, 15227, 45682, 22841, 68524, 34262, 17131, 51394, 25697, 77092, 38546, 19273, 57820, 28910, 14455, 43366, 21683, 65050, 32525, 97576, 48788, 24394, 12197, 36592, 18296, 9148, 4574, 2287, 6862, 3431, 10294, 5147, 15442, 7721, 23164, 11582, 5791, 17374, 8687, 26062, 13031, 39094, 19547, 58642, 29321, 87964, 43982, 21991, 65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(16036 > 1, builtin, [], []).
step(0 is 16036 mod 2, builtin, [], []).
step(8018 is 16036 // 2, builtin, [], []).
step(collatz(8018, [8018, 4009, 12028, 6014, 3007, 9022, 4511, 13534, 6767, 20302, 10151, 30454, 15227, 45682, 22841, 68524, 34262, 17131, 51394, 25697, 77092, 38546, 19273, 57820, 28910, 14455, 43366, 21683, 65050, 32525, 97576, 48788, 24394, 12197, 36592, 18296, 9148, 4574, 2287, 6862, 3431, 10294, 5147, 15442, 7721, 23164, 11582, 5791, 17374, 8687, 26062, 13031, 39094, 19547, 58642, 29321, 87964, 43982, 21991, 65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 8018,
      'J' = [4009, 12028, 6014, 3007, 9022, 4511, 13534, 6767, 20302, 10151, 30454, 15227, 45682, 22841, 68524, 34262, 17131, 51394, 25697, 77092, 38546, 19273, 57820, 28910, 14455, 43366, 21683, 65050, 32525, 97576, 48788, 24394, 12197, 36592, 18296, 9148, 4574, 2287, 6862, 3431, 10294, 5147, 15442, 7721, 23164, 11582, 5791, 17374, 8687, 26062, 13031, 39094, 19547, 58642, 29321, 87964, 43982, 21991, 65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 4009],
     [8018 > 1,
      0 is 8018 mod 2,
      4009 is 8018 // 2,
      collatz(4009, [4009, 12028, 6014, 3007, 9022, 4511, 13534, 6767, 20302, 10151, 30454, 15227, 45682, 22841, 68524, 34262, 17131, 51394, 25697, 77092, 38546, 19273, 57820, 28910, 14455, 43366, 21683, 65050, 32525, 97576, 48788, 24394, 12197, 36592, 18296, 9148, 4574, 2287, 6862, 3431, 10294, 5147, 15442, 7721, 23164, 11582, 5791, 17374, 8687, 26062, 13031, 39094, 19547, 58642, 29321, 87964, 43982, 21991, 65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(8018 > 1, builtin, [], []).
step(0 is 8018 mod 2, builtin, [], []).
step(4009 is 8018 // 2, builtin, [], []).
step(collatz(4009, [4009, 12028, 6014, 3007, 9022, 4511, 13534, 6767, 20302, 10151, 30454, 15227, 45682, 22841, 68524, 34262, 17131, 51394, 25697, 77092, 38546, 19273, 57820, 28910, 14455, 43366, 21683, 65050, 32525, 97576, 48788, 24394, 12197, 36592, 18296, 9148, 4574, 2287, 6862, 3431, 10294, 5147, 15442, 7721, 23164, 11582, 5791, 17374, 8687, 26062, 13031, 39094, 19547, 58642, 29321, 87964, 43982, 21991, 65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 4009,
      'J' = [12028, 6014, 3007, 9022, 4511, 13534, 6767, 20302, 10151, 30454, 15227, 45682, 22841, 68524, 34262, 17131, 51394, 25697, 77092, 38546, 19273, 57820, 28910, 14455, 43366, 21683, 65050, 32525, 97576, 48788, 24394, 12197, 36592, 18296, 9148, 4574, 2287, 6862, 3431, 10294, 5147, 15442, 7721, 23164, 11582, 5791, 17374, 8687, 26062, 13031, 39094, 19547, 58642, 29321, 87964, 43982, 21991, 65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 12027,
      'N1' = 12028],
     [4009 > 1,
      1 is 4009 mod 2,
      12027 is 3 * 4009,
      12028 is 12027 + 1,
      collatz(12028, [12028, 6014, 3007, 9022, 4511, 13534, 6767, 20302, 10151, 30454, 15227, 45682, 22841, 68524, 34262, 17131, 51394, 25697, 77092, 38546, 19273, 57820, 28910, 14455, 43366, 21683, 65050, 32525, 97576, 48788, 24394, 12197, 36592, 18296, 9148, 4574, 2287, 6862, 3431, 10294, 5147, 15442, 7721, 23164, 11582, 5791, 17374, 8687, 26062, 13031, 39094, 19547, 58642, 29321, 87964, 43982, 21991, 65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(4009 > 1, builtin, [], []).
step(1 is 4009 mod 2, builtin, [], []).
step(12027 is 3 * 4009, builtin, [], []).
step(12028 is 12027 + 1, builtin, [], []).
step(collatz(12028, [12028, 6014, 3007, 9022, 4511, 13534, 6767, 20302, 10151, 30454, 15227, 45682, 22841, 68524, 34262, 17131, 51394, 25697, 77092, 38546, 19273, 57820, 28910, 14455, 43366, 21683, 65050, 32525, 97576, 48788, 24394, 12197, 36592, 18296, 9148, 4574, 2287, 6862, 3431, 10294, 5147, 15442, 7721, 23164, 11582, 5791, 17374, 8687, 26062, 13031, 39094, 19547, 58642, 29321, 87964, 43982, 21991, 65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 12028,
      'J' = [6014, 3007, 9022, 4511, 13534, 6767, 20302, 10151, 30454, 15227, 45682, 22841, 68524, 34262, 17131, 51394, 25697, 77092, 38546, 19273, 57820, 28910, 14455, 43366, 21683, 65050, 32525, 97576, 48788, 24394, 12197, 36592, 18296, 9148, 4574, 2287, 6862, 3431, 10294, 5147, 15442, 7721, 23164, 11582, 5791, 17374, 8687, 26062, 13031, 39094, 19547, 58642, 29321, 87964, 43982, 21991, 65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 6014],
     [12028 > 1,
      0 is 12028 mod 2,
      6014 is 12028 // 2,
      collatz(6014, [6014, 3007, 9022, 4511, 13534, 6767, 20302, 10151, 30454, 15227, 45682, 22841, 68524, 34262, 17131, 51394, 25697, 77092, 38546, 19273, 57820, 28910, 14455, 43366, 21683, 65050, 32525, 97576, 48788, 24394, 12197, 36592, 18296, 9148, 4574, 2287, 6862, 3431, 10294, 5147, 15442, 7721, 23164, 11582, 5791, 17374, 8687, 26062, 13031, 39094, 19547, 58642, 29321, 87964, 43982, 21991, 65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(12028 > 1, builtin, [], []).
step(0 is 12028 mod 2, builtin, [], []).
step(6014 is 12028 // 2, builtin, [], []).
step(collatz(6014, [6014, 3007, 9022, 4511, 13534, 6767, 20302, 10151, 30454, 15227, 45682, 22841, 68524, 34262, 17131, 51394, 25697, 77092, 38546, 19273, 57820, 28910, 14455, 43366, 21683, 65050, 32525, 97576, 48788, 24394, 12197, 36592, 18296, 9148, 4574, 2287, 6862, 3431, 10294, 5147, 15442, 7721, 23164, 11582, 5791, 17374, 8687, 26062, 13031, 39094, 19547, 58642, 29321, 87964, 43982, 21991, 65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 6014,
      'J' = [3007, 9022, 4511, 13534, 6767, 20302, 10151, 30454, 15227, 45682, 22841, 68524, 34262, 17131, 51394, 25697, 77092, 38546, 19273, 57820, 28910, 14455, 43366, 21683, 65050, 32525, 97576, 48788, 24394, 12197, 36592, 18296, 9148, 4574, 2287, 6862, 3431, 10294, 5147, 15442, 7721, 23164, 11582, 5791, 17374, 8687, 26062, 13031, 39094, 19547, 58642, 29321, 87964, 43982, 21991, 65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 3007],
     [6014 > 1,
      0 is 6014 mod 2,
      3007 is 6014 // 2,
      collatz(3007, [3007, 9022, 4511, 13534, 6767, 20302, 10151, 30454, 15227, 45682, 22841, 68524, 34262, 17131, 51394, 25697, 77092, 38546, 19273, 57820, 28910, 14455, 43366, 21683, 65050, 32525, 97576, 48788, 24394, 12197, 36592, 18296, 9148, 4574, 2287, 6862, 3431, 10294, 5147, 15442, 7721, 23164, 11582, 5791, 17374, 8687, 26062, 13031, 39094, 19547, 58642, 29321, 87964, 43982, 21991, 65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(6014 > 1, builtin, [], []).
step(0 is 6014 mod 2, builtin, [], []).
step(3007 is 6014 // 2, builtin, [], []).
step(collatz(3007, [3007, 9022, 4511, 13534, 6767, 20302, 10151, 30454, 15227, 45682, 22841, 68524, 34262, 17131, 51394, 25697, 77092, 38546, 19273, 57820, 28910, 14455, 43366, 21683, 65050, 32525, 97576, 48788, 24394, 12197, 36592, 18296, 9148, 4574, 2287, 6862, 3431, 10294, 5147, 15442, 7721, 23164, 11582, 5791, 17374, 8687, 26062, 13031, 39094, 19547, 58642, 29321, 87964, 43982, 21991, 65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 3007,
      'J' = [9022, 4511, 13534, 6767, 20302, 10151, 30454, 15227, 45682, 22841, 68524, 34262, 17131, 51394, 25697, 77092, 38546, 19273, 57820, 28910, 14455, 43366, 21683, 65050, 32525, 97576, 48788, 24394, 12197, 36592, 18296, 9148, 4574, 2287, 6862, 3431, 10294, 5147, 15442, 7721, 23164, 11582, 5791, 17374, 8687, 26062, 13031, 39094, 19547, 58642, 29321, 87964, 43982, 21991, 65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 9021,
      'N1' = 9022],
     [3007 > 1,
      1 is 3007 mod 2,
      9021 is 3 * 3007,
      9022 is 9021 + 1,
      collatz(9022, [9022, 4511, 13534, 6767, 20302, 10151, 30454, 15227, 45682, 22841, 68524, 34262, 17131, 51394, 25697, 77092, 38546, 19273, 57820, 28910, 14455, 43366, 21683, 65050, 32525, 97576, 48788, 24394, 12197, 36592, 18296, 9148, 4574, 2287, 6862, 3431, 10294, 5147, 15442, 7721, 23164, 11582, 5791, 17374, 8687, 26062, 13031, 39094, 19547, 58642, 29321, 87964, 43982, 21991, 65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(3007 > 1, builtin, [], []).
step(1 is 3007 mod 2, builtin, [], []).
step(9021 is 3 * 3007, builtin, [], []).
step(9022 is 9021 + 1, builtin, [], []).
step(collatz(9022, [9022, 4511, 13534, 6767, 20302, 10151, 30454, 15227, 45682, 22841, 68524, 34262, 17131, 51394, 25697, 77092, 38546, 19273, 57820, 28910, 14455, 43366, 21683, 65050, 32525, 97576, 48788, 24394, 12197, 36592, 18296, 9148, 4574, 2287, 6862, 3431, 10294, 5147, 15442, 7721, 23164, 11582, 5791, 17374, 8687, 26062, 13031, 39094, 19547, 58642, 29321, 87964, 43982, 21991, 65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 9022,
      'J' = [4511, 13534, 6767, 20302, 10151, 30454, 15227, 45682, 22841, 68524, 34262, 17131, 51394, 25697, 77092, 38546, 19273, 57820, 28910, 14455, 43366, 21683, 65050, 32525, 97576, 48788, 24394, 12197, 36592, 18296, 9148, 4574, 2287, 6862, 3431, 10294, 5147, 15442, 7721, 23164, 11582, 5791, 17374, 8687, 26062, 13031, 39094, 19547, 58642, 29321, 87964, 43982, 21991, 65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 4511],
     [9022 > 1,
      0 is 9022 mod 2,
      4511 is 9022 // 2,
      collatz(4511, [4511, 13534, 6767, 20302, 10151, 30454, 15227, 45682, 22841, 68524, 34262, 17131, 51394, 25697, 77092, 38546, 19273, 57820, 28910, 14455, 43366, 21683, 65050, 32525, 97576, 48788, 24394, 12197, 36592, 18296, 9148, 4574, 2287, 6862, 3431, 10294, 5147, 15442, 7721, 23164, 11582, 5791, 17374, 8687, 26062, 13031, 39094, 19547, 58642, 29321, 87964, 43982, 21991, 65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(9022 > 1, builtin, [], []).
step(0 is 9022 mod 2, builtin, [], []).
step(4511 is 9022 // 2, builtin, [], []).
step(collatz(4511, [4511, 13534, 6767, 20302, 10151, 30454, 15227, 45682, 22841, 68524, 34262, 17131, 51394, 25697, 77092, 38546, 19273, 57820, 28910, 14455, 43366, 21683, 65050, 32525, 97576, 48788, 24394, 12197, 36592, 18296, 9148, 4574, 2287, 6862, 3431, 10294, 5147, 15442, 7721, 23164, 11582, 5791, 17374, 8687, 26062, 13031, 39094, 19547, 58642, 29321, 87964, 43982, 21991, 65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 4511,
      'J' = [13534, 6767, 20302, 10151, 30454, 15227, 45682, 22841, 68524, 34262, 17131, 51394, 25697, 77092, 38546, 19273, 57820, 28910, 14455, 43366, 21683, 65050, 32525, 97576, 48788, 24394, 12197, 36592, 18296, 9148, 4574, 2287, 6862, 3431, 10294, 5147, 15442, 7721, 23164, 11582, 5791, 17374, 8687, 26062, 13031, 39094, 19547, 58642, 29321, 87964, 43982, 21991, 65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 13533,
      'N1' = 13534],
     [4511 > 1,
      1 is 4511 mod 2,
      13533 is 3 * 4511,
      13534 is 13533 + 1,
      collatz(13534, [13534, 6767, 20302, 10151, 30454, 15227, 45682, 22841, 68524, 34262, 17131, 51394, 25697, 77092, 38546, 19273, 57820, 28910, 14455, 43366, 21683, 65050, 32525, 97576, 48788, 24394, 12197, 36592, 18296, 9148, 4574, 2287, 6862, 3431, 10294, 5147, 15442, 7721, 23164, 11582, 5791, 17374, 8687, 26062, 13031, 39094, 19547, 58642, 29321, 87964, 43982, 21991, 65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(4511 > 1, builtin, [], []).
step(1 is 4511 mod 2, builtin, [], []).
step(13533 is 3 * 4511, builtin, [], []).
step(13534 is 13533 + 1, builtin, [], []).
step(collatz(13534, [13534, 6767, 20302, 10151, 30454, 15227, 45682, 22841, 68524, 34262, 17131, 51394, 25697, 77092, 38546, 19273, 57820, 28910, 14455, 43366, 21683, 65050, 32525, 97576, 48788, 24394, 12197, 36592, 18296, 9148, 4574, 2287, 6862, 3431, 10294, 5147, 15442, 7721, 23164, 11582, 5791, 17374, 8687, 26062, 13031, 39094, 19547, 58642, 29321, 87964, 43982, 21991, 65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 13534,
      'J' = [6767, 20302, 10151, 30454, 15227, 45682, 22841, 68524, 34262, 17131, 51394, 25697, 77092, 38546, 19273, 57820, 28910, 14455, 43366, 21683, 65050, 32525, 97576, 48788, 24394, 12197, 36592, 18296, 9148, 4574, 2287, 6862, 3431, 10294, 5147, 15442, 7721, 23164, 11582, 5791, 17374, 8687, 26062, 13031, 39094, 19547, 58642, 29321, 87964, 43982, 21991, 65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 6767],
     [13534 > 1,
      0 is 13534 mod 2,
      6767 is 13534 // 2,
      collatz(6767, [6767, 20302, 10151, 30454, 15227, 45682, 22841, 68524, 34262, 17131, 51394, 25697, 77092, 38546, 19273, 57820, 28910, 14455, 43366, 21683, 65050, 32525, 97576, 48788, 24394, 12197, 36592, 18296, 9148, 4574, 2287, 6862, 3431, 10294, 5147, 15442, 7721, 23164, 11582, 5791, 17374, 8687, 26062, 13031, 39094, 19547, 58642, 29321, 87964, 43982, 21991, 65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(13534 > 1, builtin, [], []).
step(0 is 13534 mod 2, builtin, [], []).
step(6767 is 13534 // 2, builtin, [], []).
step(collatz(6767, [6767, 20302, 10151, 30454, 15227, 45682, 22841, 68524, 34262, 17131, 51394, 25697, 77092, 38546, 19273, 57820, 28910, 14455, 43366, 21683, 65050, 32525, 97576, 48788, 24394, 12197, 36592, 18296, 9148, 4574, 2287, 6862, 3431, 10294, 5147, 15442, 7721, 23164, 11582, 5791, 17374, 8687, 26062, 13031, 39094, 19547, 58642, 29321, 87964, 43982, 21991, 65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 6767,
      'J' = [20302, 10151, 30454, 15227, 45682, 22841, 68524, 34262, 17131, 51394, 25697, 77092, 38546, 19273, 57820, 28910, 14455, 43366, 21683, 65050, 32525, 97576, 48788, 24394, 12197, 36592, 18296, 9148, 4574, 2287, 6862, 3431, 10294, 5147, 15442, 7721, 23164, 11582, 5791, 17374, 8687, 26062, 13031, 39094, 19547, 58642, 29321, 87964, 43982, 21991, 65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 20301,
      'N1' = 20302],
     [6767 > 1,
      1 is 6767 mod 2,
      20301 is 3 * 6767,
      20302 is 20301 + 1,
      collatz(20302, [20302, 10151, 30454, 15227, 45682, 22841, 68524, 34262, 17131, 51394, 25697, 77092, 38546, 19273, 57820, 28910, 14455, 43366, 21683, 65050, 32525, 97576, 48788, 24394, 12197, 36592, 18296, 9148, 4574, 2287, 6862, 3431, 10294, 5147, 15442, 7721, 23164, 11582, 5791, 17374, 8687, 26062, 13031, 39094, 19547, 58642, 29321, 87964, 43982, 21991, 65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(6767 > 1, builtin, [], []).
step(1 is 6767 mod 2, builtin, [], []).
step(20301 is 3 * 6767, builtin, [], []).
step(20302 is 20301 + 1, builtin, [], []).
step(collatz(20302, [20302, 10151, 30454, 15227, 45682, 22841, 68524, 34262, 17131, 51394, 25697, 77092, 38546, 19273, 57820, 28910, 14455, 43366, 21683, 65050, 32525, 97576, 48788, 24394, 12197, 36592, 18296, 9148, 4574, 2287, 6862, 3431, 10294, 5147, 15442, 7721, 23164, 11582, 5791, 17374, 8687, 26062, 13031, 39094, 19547, 58642, 29321, 87964, 43982, 21991, 65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 20302,
      'J' = [10151, 30454, 15227, 45682, 22841, 68524, 34262, 17131, 51394, 25697, 77092, 38546, 19273, 57820, 28910, 14455, 43366, 21683, 65050, 32525, 97576, 48788, 24394, 12197, 36592, 18296, 9148, 4574, 2287, 6862, 3431, 10294, 5147, 15442, 7721, 23164, 11582, 5791, 17374, 8687, 26062, 13031, 39094, 19547, 58642, 29321, 87964, 43982, 21991, 65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 10151],
     [20302 > 1,
      0 is 20302 mod 2,
      10151 is 20302 // 2,
      collatz(10151, [10151, 30454, 15227, 45682, 22841, 68524, 34262, 17131, 51394, 25697, 77092, 38546, 19273, 57820, 28910, 14455, 43366, 21683, 65050, 32525, 97576, 48788, 24394, 12197, 36592, 18296, 9148, 4574, 2287, 6862, 3431, 10294, 5147, 15442, 7721, 23164, 11582, 5791, 17374, 8687, 26062, 13031, 39094, 19547, 58642, 29321, 87964, 43982, 21991, 65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(20302 > 1, builtin, [], []).
step(0 is 20302 mod 2, builtin, [], []).
step(10151 is 20302 // 2, builtin, [], []).
step(collatz(10151, [10151, 30454, 15227, 45682, 22841, 68524, 34262, 17131, 51394, 25697, 77092, 38546, 19273, 57820, 28910, 14455, 43366, 21683, 65050, 32525, 97576, 48788, 24394, 12197, 36592, 18296, 9148, 4574, 2287, 6862, 3431, 10294, 5147, 15442, 7721, 23164, 11582, 5791, 17374, 8687, 26062, 13031, 39094, 19547, 58642, 29321, 87964, 43982, 21991, 65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 10151,
      'J' = [30454, 15227, 45682, 22841, 68524, 34262, 17131, 51394, 25697, 77092, 38546, 19273, 57820, 28910, 14455, 43366, 21683, 65050, 32525, 97576, 48788, 24394, 12197, 36592, 18296, 9148, 4574, 2287, 6862, 3431, 10294, 5147, 15442, 7721, 23164, 11582, 5791, 17374, 8687, 26062, 13031, 39094, 19547, 58642, 29321, 87964, 43982, 21991, 65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 30453,
      'N1' = 30454],
     [10151 > 1,
      1 is 10151 mod 2,
      30453 is 3 * 10151,
      30454 is 30453 + 1,
      collatz(30454, [30454, 15227, 45682, 22841, 68524, 34262, 17131, 51394, 25697, 77092, 38546, 19273, 57820, 28910, 14455, 43366, 21683, 65050, 32525, 97576, 48788, 24394, 12197, 36592, 18296, 9148, 4574, 2287, 6862, 3431, 10294, 5147, 15442, 7721, 23164, 11582, 5791, 17374, 8687, 26062, 13031, 39094, 19547, 58642, 29321, 87964, 43982, 21991, 65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(10151 > 1, builtin, [], []).
step(1 is 10151 mod 2, builtin, [], []).
step(30453 is 3 * 10151, builtin, [], []).
step(30454 is 30453 + 1, builtin, [], []).
step(collatz(30454, [30454, 15227, 45682, 22841, 68524, 34262, 17131, 51394, 25697, 77092, 38546, 19273, 57820, 28910, 14455, 43366, 21683, 65050, 32525, 97576, 48788, 24394, 12197, 36592, 18296, 9148, 4574, 2287, 6862, 3431, 10294, 5147, 15442, 7721, 23164, 11582, 5791, 17374, 8687, 26062, 13031, 39094, 19547, 58642, 29321, 87964, 43982, 21991, 65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 30454,
      'J' = [15227, 45682, 22841, 68524, 34262, 17131, 51394, 25697, 77092, 38546, 19273, 57820, 28910, 14455, 43366, 21683, 65050, 32525, 97576, 48788, 24394, 12197, 36592, 18296, 9148, 4574, 2287, 6862, 3431, 10294, 5147, 15442, 7721, 23164, 11582, 5791, 17374, 8687, 26062, 13031, 39094, 19547, 58642, 29321, 87964, 43982, 21991, 65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 15227],
     [30454 > 1,
      0 is 30454 mod 2,
      15227 is 30454 // 2,
      collatz(15227, [15227, 45682, 22841, 68524, 34262, 17131, 51394, 25697, 77092, 38546, 19273, 57820, 28910, 14455, 43366, 21683, 65050, 32525, 97576, 48788, 24394, 12197, 36592, 18296, 9148, 4574, 2287, 6862, 3431, 10294, 5147, 15442, 7721, 23164, 11582, 5791, 17374, 8687, 26062, 13031, 39094, 19547, 58642, 29321, 87964, 43982, 21991, 65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(30454 > 1, builtin, [], []).
step(0 is 30454 mod 2, builtin, [], []).
step(15227 is 30454 // 2, builtin, [], []).
step(collatz(15227, [15227, 45682, 22841, 68524, 34262, 17131, 51394, 25697, 77092, 38546, 19273, 57820, 28910, 14455, 43366, 21683, 65050, 32525, 97576, 48788, 24394, 12197, 36592, 18296, 9148, 4574, 2287, 6862, 3431, 10294, 5147, 15442, 7721, 23164, 11582, 5791, 17374, 8687, 26062, 13031, 39094, 19547, 58642, 29321, 87964, 43982, 21991, 65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 15227,
      'J' = [45682, 22841, 68524, 34262, 17131, 51394, 25697, 77092, 38546, 19273, 57820, 28910, 14455, 43366, 21683, 65050, 32525, 97576, 48788, 24394, 12197, 36592, 18296, 9148, 4574, 2287, 6862, 3431, 10294, 5147, 15442, 7721, 23164, 11582, 5791, 17374, 8687, 26062, 13031, 39094, 19547, 58642, 29321, 87964, 43982, 21991, 65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 45681,
      'N1' = 45682],
     [15227 > 1,
      1 is 15227 mod 2,
      45681 is 3 * 15227,
      45682 is 45681 + 1,
      collatz(45682, [45682, 22841, 68524, 34262, 17131, 51394, 25697, 77092, 38546, 19273, 57820, 28910, 14455, 43366, 21683, 65050, 32525, 97576, 48788, 24394, 12197, 36592, 18296, 9148, 4574, 2287, 6862, 3431, 10294, 5147, 15442, 7721, 23164, 11582, 5791, 17374, 8687, 26062, 13031, 39094, 19547, 58642, 29321, 87964, 43982, 21991, 65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(15227 > 1, builtin, [], []).
step(1 is 15227 mod 2, builtin, [], []).
step(45681 is 3 * 15227, builtin, [], []).
step(45682 is 45681 + 1, builtin, [], []).
step(collatz(45682, [45682, 22841, 68524, 34262, 17131, 51394, 25697, 77092, 38546, 19273, 57820, 28910, 14455, 43366, 21683, 65050, 32525, 97576, 48788, 24394, 12197, 36592, 18296, 9148, 4574, 2287, 6862, 3431, 10294, 5147, 15442, 7721, 23164, 11582, 5791, 17374, 8687, 26062, 13031, 39094, 19547, 58642, 29321, 87964, 43982, 21991, 65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 45682,
      'J' = [22841, 68524, 34262, 17131, 51394, 25697, 77092, 38546, 19273, 57820, 28910, 14455, 43366, 21683, 65050, 32525, 97576, 48788, 24394, 12197, 36592, 18296, 9148, 4574, 2287, 6862, 3431, 10294, 5147, 15442, 7721, 23164, 11582, 5791, 17374, 8687, 26062, 13031, 39094, 19547, 58642, 29321, 87964, 43982, 21991, 65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 22841],
     [45682 > 1,
      0 is 45682 mod 2,
      22841 is 45682 // 2,
      collatz(22841, [22841, 68524, 34262, 17131, 51394, 25697, 77092, 38546, 19273, 57820, 28910, 14455, 43366, 21683, 65050, 32525, 97576, 48788, 24394, 12197, 36592, 18296, 9148, 4574, 2287, 6862, 3431, 10294, 5147, 15442, 7721, 23164, 11582, 5791, 17374, 8687, 26062, 13031, 39094, 19547, 58642, 29321, 87964, 43982, 21991, 65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(45682 > 1, builtin, [], []).
step(0 is 45682 mod 2, builtin, [], []).
step(22841 is 45682 // 2, builtin, [], []).
step(collatz(22841, [22841, 68524, 34262, 17131, 51394, 25697, 77092, 38546, 19273, 57820, 28910, 14455, 43366, 21683, 65050, 32525, 97576, 48788, 24394, 12197, 36592, 18296, 9148, 4574, 2287, 6862, 3431, 10294, 5147, 15442, 7721, 23164, 11582, 5791, 17374, 8687, 26062, 13031, 39094, 19547, 58642, 29321, 87964, 43982, 21991, 65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 22841,
      'J' = [68524, 34262, 17131, 51394, 25697, 77092, 38546, 19273, 57820, 28910, 14455, 43366, 21683, 65050, 32525, 97576, 48788, 24394, 12197, 36592, 18296, 9148, 4574, 2287, 6862, 3431, 10294, 5147, 15442, 7721, 23164, 11582, 5791, 17374, 8687, 26062, 13031, 39094, 19547, 58642, 29321, 87964, 43982, 21991, 65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 68523,
      'N1' = 68524],
     [22841 > 1,
      1 is 22841 mod 2,
      68523 is 3 * 22841,
      68524 is 68523 + 1,
      collatz(68524, [68524, 34262, 17131, 51394, 25697, 77092, 38546, 19273, 57820, 28910, 14455, 43366, 21683, 65050, 32525, 97576, 48788, 24394, 12197, 36592, 18296, 9148, 4574, 2287, 6862, 3431, 10294, 5147, 15442, 7721, 23164, 11582, 5791, 17374, 8687, 26062, 13031, 39094, 19547, 58642, 29321, 87964, 43982, 21991, 65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(22841 > 1, builtin, [], []).
step(1 is 22841 mod 2, builtin, [], []).
step(68523 is 3 * 22841, builtin, [], []).
step(68524 is 68523 + 1, builtin, [], []).
step(collatz(68524, [68524, 34262, 17131, 51394, 25697, 77092, 38546, 19273, 57820, 28910, 14455, 43366, 21683, 65050, 32525, 97576, 48788, 24394, 12197, 36592, 18296, 9148, 4574, 2287, 6862, 3431, 10294, 5147, 15442, 7721, 23164, 11582, 5791, 17374, 8687, 26062, 13031, 39094, 19547, 58642, 29321, 87964, 43982, 21991, 65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 68524,
      'J' = [34262, 17131, 51394, 25697, 77092, 38546, 19273, 57820, 28910, 14455, 43366, 21683, 65050, 32525, 97576, 48788, 24394, 12197, 36592, 18296, 9148, 4574, 2287, 6862, 3431, 10294, 5147, 15442, 7721, 23164, 11582, 5791, 17374, 8687, 26062, 13031, 39094, 19547, 58642, 29321, 87964, 43982, 21991, 65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 34262],
     [68524 > 1,
      0 is 68524 mod 2,
      34262 is 68524 // 2,
      collatz(34262, [34262, 17131, 51394, 25697, 77092, 38546, 19273, 57820, 28910, 14455, 43366, 21683, 65050, 32525, 97576, 48788, 24394, 12197, 36592, 18296, 9148, 4574, 2287, 6862, 3431, 10294, 5147, 15442, 7721, 23164, 11582, 5791, 17374, 8687, 26062, 13031, 39094, 19547, 58642, 29321, 87964, 43982, 21991, 65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(68524 > 1, builtin, [], []).
step(0 is 68524 mod 2, builtin, [], []).
step(34262 is 68524 // 2, builtin, [], []).
step(collatz(34262, [34262, 17131, 51394, 25697, 77092, 38546, 19273, 57820, 28910, 14455, 43366, 21683, 65050, 32525, 97576, 48788, 24394, 12197, 36592, 18296, 9148, 4574, 2287, 6862, 3431, 10294, 5147, 15442, 7721, 23164, 11582, 5791, 17374, 8687, 26062, 13031, 39094, 19547, 58642, 29321, 87964, 43982, 21991, 65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 34262,
      'J' = [17131, 51394, 25697, 77092, 38546, 19273, 57820, 28910, 14455, 43366, 21683, 65050, 32525, 97576, 48788, 24394, 12197, 36592, 18296, 9148, 4574, 2287, 6862, 3431, 10294, 5147, 15442, 7721, 23164, 11582, 5791, 17374, 8687, 26062, 13031, 39094, 19547, 58642, 29321, 87964, 43982, 21991, 65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 17131],
     [34262 > 1,
      0 is 34262 mod 2,
      17131 is 34262 // 2,
      collatz(17131, [17131, 51394, 25697, 77092, 38546, 19273, 57820, 28910, 14455, 43366, 21683, 65050, 32525, 97576, 48788, 24394, 12197, 36592, 18296, 9148, 4574, 2287, 6862, 3431, 10294, 5147, 15442, 7721, 23164, 11582, 5791, 17374, 8687, 26062, 13031, 39094, 19547, 58642, 29321, 87964, 43982, 21991, 65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(34262 > 1, builtin, [], []).
step(0 is 34262 mod 2, builtin, [], []).
step(17131 is 34262 // 2, builtin, [], []).
step(collatz(17131, [17131, 51394, 25697, 77092, 38546, 19273, 57820, 28910, 14455, 43366, 21683, 65050, 32525, 97576, 48788, 24394, 12197, 36592, 18296, 9148, 4574, 2287, 6862, 3431, 10294, 5147, 15442, 7721, 23164, 11582, 5791, 17374, 8687, 26062, 13031, 39094, 19547, 58642, 29321, 87964, 43982, 21991, 65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 17131,
      'J' = [51394, 25697, 77092, 38546, 19273, 57820, 28910, 14455, 43366, 21683, 65050, 32525, 97576, 48788, 24394, 12197, 36592, 18296, 9148, 4574, 2287, 6862, 3431, 10294, 5147, 15442, 7721, 23164, 11582, 5791, 17374, 8687, 26062, 13031, 39094, 19547, 58642, 29321, 87964, 43982, 21991, 65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 51393,
      'N1' = 51394],
     [17131 > 1,
      1 is 17131 mod 2,
      51393 is 3 * 17131,
      51394 is 51393 + 1,
      collatz(51394, [51394, 25697, 77092, 38546, 19273, 57820, 28910, 14455, 43366, 21683, 65050, 32525, 97576, 48788, 24394, 12197, 36592, 18296, 9148, 4574, 2287, 6862, 3431, 10294, 5147, 15442, 7721, 23164, 11582, 5791, 17374, 8687, 26062, 13031, 39094, 19547, 58642, 29321, 87964, 43982, 21991, 65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(17131 > 1, builtin, [], []).
step(1 is 17131 mod 2, builtin, [], []).
step(51393 is 3 * 17131, builtin, [], []).
step(51394 is 51393 + 1, builtin, [], []).
step(collatz(51394, [51394, 25697, 77092, 38546, 19273, 57820, 28910, 14455, 43366, 21683, 65050, 32525, 97576, 48788, 24394, 12197, 36592, 18296, 9148, 4574, 2287, 6862, 3431, 10294, 5147, 15442, 7721, 23164, 11582, 5791, 17374, 8687, 26062, 13031, 39094, 19547, 58642, 29321, 87964, 43982, 21991, 65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 51394,
      'J' = [25697, 77092, 38546, 19273, 57820, 28910, 14455, 43366, 21683, 65050, 32525, 97576, 48788, 24394, 12197, 36592, 18296, 9148, 4574, 2287, 6862, 3431, 10294, 5147, 15442, 7721, 23164, 11582, 5791, 17374, 8687, 26062, 13031, 39094, 19547, 58642, 29321, 87964, 43982, 21991, 65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 25697],
     [51394 > 1,
      0 is 51394 mod 2,
      25697 is 51394 // 2,
      collatz(25697, [25697, 77092, 38546, 19273, 57820, 28910, 14455, 43366, 21683, 65050, 32525, 97576, 48788, 24394, 12197, 36592, 18296, 9148, 4574, 2287, 6862, 3431, 10294, 5147, 15442, 7721, 23164, 11582, 5791, 17374, 8687, 26062, 13031, 39094, 19547, 58642, 29321, 87964, 43982, 21991, 65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(51394 > 1, builtin, [], []).
step(0 is 51394 mod 2, builtin, [], []).
step(25697 is 51394 // 2, builtin, [], []).
step(collatz(25697, [25697, 77092, 38546, 19273, 57820, 28910, 14455, 43366, 21683, 65050, 32525, 97576, 48788, 24394, 12197, 36592, 18296, 9148, 4574, 2287, 6862, 3431, 10294, 5147, 15442, 7721, 23164, 11582, 5791, 17374, 8687, 26062, 13031, 39094, 19547, 58642, 29321, 87964, 43982, 21991, 65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 25697,
      'J' = [77092, 38546, 19273, 57820, 28910, 14455, 43366, 21683, 65050, 32525, 97576, 48788, 24394, 12197, 36592, 18296, 9148, 4574, 2287, 6862, 3431, 10294, 5147, 15442, 7721, 23164, 11582, 5791, 17374, 8687, 26062, 13031, 39094, 19547, 58642, 29321, 87964, 43982, 21991, 65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 77091,
      'N1' = 77092],
     [25697 > 1,
      1 is 25697 mod 2,
      77091 is 3 * 25697,
      77092 is 77091 + 1,
      collatz(77092, [77092, 38546, 19273, 57820, 28910, 14455, 43366, 21683, 65050, 32525, 97576, 48788, 24394, 12197, 36592, 18296, 9148, 4574, 2287, 6862, 3431, 10294, 5147, 15442, 7721, 23164, 11582, 5791, 17374, 8687, 26062, 13031, 39094, 19547, 58642, 29321, 87964, 43982, 21991, 65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(25697 > 1, builtin, [], []).
step(1 is 25697 mod 2, builtin, [], []).
step(77091 is 3 * 25697, builtin, [], []).
step(77092 is 77091 + 1, builtin, [], []).
step(collatz(77092, [77092, 38546, 19273, 57820, 28910, 14455, 43366, 21683, 65050, 32525, 97576, 48788, 24394, 12197, 36592, 18296, 9148, 4574, 2287, 6862, 3431, 10294, 5147, 15442, 7721, 23164, 11582, 5791, 17374, 8687, 26062, 13031, 39094, 19547, 58642, 29321, 87964, 43982, 21991, 65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 77092,
      'J' = [38546, 19273, 57820, 28910, 14455, 43366, 21683, 65050, 32525, 97576, 48788, 24394, 12197, 36592, 18296, 9148, 4574, 2287, 6862, 3431, 10294, 5147, 15442, 7721, 23164, 11582, 5791, 17374, 8687, 26062, 13031, 39094, 19547, 58642, 29321, 87964, 43982, 21991, 65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 38546],
     [77092 > 1,
      0 is 77092 mod 2,
      38546 is 77092 // 2,
      collatz(38546, [38546, 19273, 57820, 28910, 14455, 43366, 21683, 65050, 32525, 97576, 48788, 24394, 12197, 36592, 18296, 9148, 4574, 2287, 6862, 3431, 10294, 5147, 15442, 7721, 23164, 11582, 5791, 17374, 8687, 26062, 13031, 39094, 19547, 58642, 29321, 87964, 43982, 21991, 65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(77092 > 1, builtin, [], []).
step(0 is 77092 mod 2, builtin, [], []).
step(38546 is 77092 // 2, builtin, [], []).
step(collatz(38546, [38546, 19273, 57820, 28910, 14455, 43366, 21683, 65050, 32525, 97576, 48788, 24394, 12197, 36592, 18296, 9148, 4574, 2287, 6862, 3431, 10294, 5147, 15442, 7721, 23164, 11582, 5791, 17374, 8687, 26062, 13031, 39094, 19547, 58642, 29321, 87964, 43982, 21991, 65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 38546,
      'J' = [19273, 57820, 28910, 14455, 43366, 21683, 65050, 32525, 97576, 48788, 24394, 12197, 36592, 18296, 9148, 4574, 2287, 6862, 3431, 10294, 5147, 15442, 7721, 23164, 11582, 5791, 17374, 8687, 26062, 13031, 39094, 19547, 58642, 29321, 87964, 43982, 21991, 65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 19273],
     [38546 > 1,
      0 is 38546 mod 2,
      19273 is 38546 // 2,
      collatz(19273, [19273, 57820, 28910, 14455, 43366, 21683, 65050, 32525, 97576, 48788, 24394, 12197, 36592, 18296, 9148, 4574, 2287, 6862, 3431, 10294, 5147, 15442, 7721, 23164, 11582, 5791, 17374, 8687, 26062, 13031, 39094, 19547, 58642, 29321, 87964, 43982, 21991, 65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(38546 > 1, builtin, [], []).
step(0 is 38546 mod 2, builtin, [], []).
step(19273 is 38546 // 2, builtin, [], []).
step(collatz(19273, [19273, 57820, 28910, 14455, 43366, 21683, 65050, 32525, 97576, 48788, 24394, 12197, 36592, 18296, 9148, 4574, 2287, 6862, 3431, 10294, 5147, 15442, 7721, 23164, 11582, 5791, 17374, 8687, 26062, 13031, 39094, 19547, 58642, 29321, 87964, 43982, 21991, 65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 19273,
      'J' = [57820, 28910, 14455, 43366, 21683, 65050, 32525, 97576, 48788, 24394, 12197, 36592, 18296, 9148, 4574, 2287, 6862, 3431, 10294, 5147, 15442, 7721, 23164, 11582, 5791, 17374, 8687, 26062, 13031, 39094, 19547, 58642, 29321, 87964, 43982, 21991, 65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 57819,
      'N1' = 57820],
     [19273 > 1,
      1 is 19273 mod 2,
      57819 is 3 * 19273,
      57820 is 57819 + 1,
      collatz(57820, [57820, 28910, 14455, 43366, 21683, 65050, 32525, 97576, 48788, 24394, 12197, 36592, 18296, 9148, 4574, 2287, 6862, 3431, 10294, 5147, 15442, 7721, 23164, 11582, 5791, 17374, 8687, 26062, 13031, 39094, 19547, 58642, 29321, 87964, 43982, 21991, 65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(19273 > 1, builtin, [], []).
step(1 is 19273 mod 2, builtin, [], []).
step(57819 is 3 * 19273, builtin, [], []).
step(57820 is 57819 + 1, builtin, [], []).
step(collatz(57820, [57820, 28910, 14455, 43366, 21683, 65050, 32525, 97576, 48788, 24394, 12197, 36592, 18296, 9148, 4574, 2287, 6862, 3431, 10294, 5147, 15442, 7721, 23164, 11582, 5791, 17374, 8687, 26062, 13031, 39094, 19547, 58642, 29321, 87964, 43982, 21991, 65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 57820,
      'J' = [28910, 14455, 43366, 21683, 65050, 32525, 97576, 48788, 24394, 12197, 36592, 18296, 9148, 4574, 2287, 6862, 3431, 10294, 5147, 15442, 7721, 23164, 11582, 5791, 17374, 8687, 26062, 13031, 39094, 19547, 58642, 29321, 87964, 43982, 21991, 65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 28910],
     [57820 > 1,
      0 is 57820 mod 2,
      28910 is 57820 // 2,
      collatz(28910, [28910, 14455, 43366, 21683, 65050, 32525, 97576, 48788, 24394, 12197, 36592, 18296, 9148, 4574, 2287, 6862, 3431, 10294, 5147, 15442, 7721, 23164, 11582, 5791, 17374, 8687, 26062, 13031, 39094, 19547, 58642, 29321, 87964, 43982, 21991, 65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(57820 > 1, builtin, [], []).
step(0 is 57820 mod 2, builtin, [], []).
step(28910 is 57820 // 2, builtin, [], []).
step(collatz(28910, [28910, 14455, 43366, 21683, 65050, 32525, 97576, 48788, 24394, 12197, 36592, 18296, 9148, 4574, 2287, 6862, 3431, 10294, 5147, 15442, 7721, 23164, 11582, 5791, 17374, 8687, 26062, 13031, 39094, 19547, 58642, 29321, 87964, 43982, 21991, 65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 28910,
      'J' = [14455, 43366, 21683, 65050, 32525, 97576, 48788, 24394, 12197, 36592, 18296, 9148, 4574, 2287, 6862, 3431, 10294, 5147, 15442, 7721, 23164, 11582, 5791, 17374, 8687, 26062, 13031, 39094, 19547, 58642, 29321, 87964, 43982, 21991, 65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 14455],
     [28910 > 1,
      0 is 28910 mod 2,
      14455 is 28910 // 2,
      collatz(14455, [14455, 43366, 21683, 65050, 32525, 97576, 48788, 24394, 12197, 36592, 18296, 9148, 4574, 2287, 6862, 3431, 10294, 5147, 15442, 7721, 23164, 11582, 5791, 17374, 8687, 26062, 13031, 39094, 19547, 58642, 29321, 87964, 43982, 21991, 65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(28910 > 1, builtin, [], []).
step(0 is 28910 mod 2, builtin, [], []).
step(14455 is 28910 // 2, builtin, [], []).
step(collatz(14455, [14455, 43366, 21683, 65050, 32525, 97576, 48788, 24394, 12197, 36592, 18296, 9148, 4574, 2287, 6862, 3431, 10294, 5147, 15442, 7721, 23164, 11582, 5791, 17374, 8687, 26062, 13031, 39094, 19547, 58642, 29321, 87964, 43982, 21991, 65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 14455,
      'J' = [43366, 21683, 65050, 32525, 97576, 48788, 24394, 12197, 36592, 18296, 9148, 4574, 2287, 6862, 3431, 10294, 5147, 15442, 7721, 23164, 11582, 5791, 17374, 8687, 26062, 13031, 39094, 19547, 58642, 29321, 87964, 43982, 21991, 65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 43365,
      'N1' = 43366],
     [14455 > 1,
      1 is 14455 mod 2,
      43365 is 3 * 14455,
      43366 is 43365 + 1,
      collatz(43366, [43366, 21683, 65050, 32525, 97576, 48788, 24394, 12197, 36592, 18296, 9148, 4574, 2287, 6862, 3431, 10294, 5147, 15442, 7721, 23164, 11582, 5791, 17374, 8687, 26062, 13031, 39094, 19547, 58642, 29321, 87964, 43982, 21991, 65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(14455 > 1, builtin, [], []).
step(1 is 14455 mod 2, builtin, [], []).
step(43365 is 3 * 14455, builtin, [], []).
step(43366 is 43365 + 1, builtin, [], []).
step(collatz(43366, [43366, 21683, 65050, 32525, 97576, 48788, 24394, 12197, 36592, 18296, 9148, 4574, 2287, 6862, 3431, 10294, 5147, 15442, 7721, 23164, 11582, 5791, 17374, 8687, 26062, 13031, 39094, 19547, 58642, 29321, 87964, 43982, 21991, 65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 43366,
      'J' = [21683, 65050, 32525, 97576, 48788, 24394, 12197, 36592, 18296, 9148, 4574, 2287, 6862, 3431, 10294, 5147, 15442, 7721, 23164, 11582, 5791, 17374, 8687, 26062, 13031, 39094, 19547, 58642, 29321, 87964, 43982, 21991, 65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 21683],
     [43366 > 1,
      0 is 43366 mod 2,
      21683 is 43366 // 2,
      collatz(21683, [21683, 65050, 32525, 97576, 48788, 24394, 12197, 36592, 18296, 9148, 4574, 2287, 6862, 3431, 10294, 5147, 15442, 7721, 23164, 11582, 5791, 17374, 8687, 26062, 13031, 39094, 19547, 58642, 29321, 87964, 43982, 21991, 65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(43366 > 1, builtin, [], []).
step(0 is 43366 mod 2, builtin, [], []).
step(21683 is 43366 // 2, builtin, [], []).
step(collatz(21683, [21683, 65050, 32525, 97576, 48788, 24394, 12197, 36592, 18296, 9148, 4574, 2287, 6862, 3431, 10294, 5147, 15442, 7721, 23164, 11582, 5791, 17374, 8687, 26062, 13031, 39094, 19547, 58642, 29321, 87964, 43982, 21991, 65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 21683,
      'J' = [65050, 32525, 97576, 48788, 24394, 12197, 36592, 18296, 9148, 4574, 2287, 6862, 3431, 10294, 5147, 15442, 7721, 23164, 11582, 5791, 17374, 8687, 26062, 13031, 39094, 19547, 58642, 29321, 87964, 43982, 21991, 65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 65049,
      'N1' = 65050],
     [21683 > 1,
      1 is 21683 mod 2,
      65049 is 3 * 21683,
      65050 is 65049 + 1,
      collatz(65050, [65050, 32525, 97576, 48788, 24394, 12197, 36592, 18296, 9148, 4574, 2287, 6862, 3431, 10294, 5147, 15442, 7721, 23164, 11582, 5791, 17374, 8687, 26062, 13031, 39094, 19547, 58642, 29321, 87964, 43982, 21991, 65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(21683 > 1, builtin, [], []).
step(1 is 21683 mod 2, builtin, [], []).
step(65049 is 3 * 21683, builtin, [], []).
step(65050 is 65049 + 1, builtin, [], []).
step(collatz(65050, [65050, 32525, 97576, 48788, 24394, 12197, 36592, 18296, 9148, 4574, 2287, 6862, 3431, 10294, 5147, 15442, 7721, 23164, 11582, 5791, 17374, 8687, 26062, 13031, 39094, 19547, 58642, 29321, 87964, 43982, 21991, 65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 65050,
      'J' = [32525, 97576, 48788, 24394, 12197, 36592, 18296, 9148, 4574, 2287, 6862, 3431, 10294, 5147, 15442, 7721, 23164, 11582, 5791, 17374, 8687, 26062, 13031, 39094, 19547, 58642, 29321, 87964, 43982, 21991, 65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 32525],
     [65050 > 1,
      0 is 65050 mod 2,
      32525 is 65050 // 2,
      collatz(32525, [32525, 97576, 48788, 24394, 12197, 36592, 18296, 9148, 4574, 2287, 6862, 3431, 10294, 5147, 15442, 7721, 23164, 11582, 5791, 17374, 8687, 26062, 13031, 39094, 19547, 58642, 29321, 87964, 43982, 21991, 65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(65050 > 1, builtin, [], []).
step(0 is 65050 mod 2, builtin, [], []).
step(32525 is 65050 // 2, builtin, [], []).
step(collatz(32525, [32525, 97576, 48788, 24394, 12197, 36592, 18296, 9148, 4574, 2287, 6862, 3431, 10294, 5147, 15442, 7721, 23164, 11582, 5791, 17374, 8687, 26062, 13031, 39094, 19547, 58642, 29321, 87964, 43982, 21991, 65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 32525,
      'J' = [97576, 48788, 24394, 12197, 36592, 18296, 9148, 4574, 2287, 6862, 3431, 10294, 5147, 15442, 7721, 23164, 11582, 5791, 17374, 8687, 26062, 13031, 39094, 19547, 58642, 29321, 87964, 43982, 21991, 65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 97575,
      'N1' = 97576],
     [32525 > 1,
      1 is 32525 mod 2,
      97575 is 3 * 32525,
      97576 is 97575 + 1,
      collatz(97576, [97576, 48788, 24394, 12197, 36592, 18296, 9148, 4574, 2287, 6862, 3431, 10294, 5147, 15442, 7721, 23164, 11582, 5791, 17374, 8687, 26062, 13031, 39094, 19547, 58642, 29321, 87964, 43982, 21991, 65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(32525 > 1, builtin, [], []).
step(1 is 32525 mod 2, builtin, [], []).
step(97575 is 3 * 32525, builtin, [], []).
step(97576 is 97575 + 1, builtin, [], []).
step(collatz(97576, [97576, 48788, 24394, 12197, 36592, 18296, 9148, 4574, 2287, 6862, 3431, 10294, 5147, 15442, 7721, 23164, 11582, 5791, 17374, 8687, 26062, 13031, 39094, 19547, 58642, 29321, 87964, 43982, 21991, 65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 97576,
      'J' = [48788, 24394, 12197, 36592, 18296, 9148, 4574, 2287, 6862, 3431, 10294, 5147, 15442, 7721, 23164, 11582, 5791, 17374, 8687, 26062, 13031, 39094, 19547, 58642, 29321, 87964, 43982, 21991, 65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 48788],
     [97576 > 1,
      0 is 97576 mod 2,
      48788 is 97576 // 2,
      collatz(48788, [48788, 24394, 12197, 36592, 18296, 9148, 4574, 2287, 6862, 3431, 10294, 5147, 15442, 7721, 23164, 11582, 5791, 17374, 8687, 26062, 13031, 39094, 19547, 58642, 29321, 87964, 43982, 21991, 65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(97576 > 1, builtin, [], []).
step(0 is 97576 mod 2, builtin, [], []).
step(48788 is 97576 // 2, builtin, [], []).
step(collatz(48788, [48788, 24394, 12197, 36592, 18296, 9148, 4574, 2287, 6862, 3431, 10294, 5147, 15442, 7721, 23164, 11582, 5791, 17374, 8687, 26062, 13031, 39094, 19547, 58642, 29321, 87964, 43982, 21991, 65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 48788,
      'J' = [24394, 12197, 36592, 18296, 9148, 4574, 2287, 6862, 3431, 10294, 5147, 15442, 7721, 23164, 11582, 5791, 17374, 8687, 26062, 13031, 39094, 19547, 58642, 29321, 87964, 43982, 21991, 65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 24394],
     [48788 > 1,
      0 is 48788 mod 2,
      24394 is 48788 // 2,
      collatz(24394, [24394, 12197, 36592, 18296, 9148, 4574, 2287, 6862, 3431, 10294, 5147, 15442, 7721, 23164, 11582, 5791, 17374, 8687, 26062, 13031, 39094, 19547, 58642, 29321, 87964, 43982, 21991, 65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(48788 > 1, builtin, [], []).
step(0 is 48788 mod 2, builtin, [], []).
step(24394 is 48788 // 2, builtin, [], []).
step(collatz(24394, [24394, 12197, 36592, 18296, 9148, 4574, 2287, 6862, 3431, 10294, 5147, 15442, 7721, 23164, 11582, 5791, 17374, 8687, 26062, 13031, 39094, 19547, 58642, 29321, 87964, 43982, 21991, 65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 24394,
      'J' = [12197, 36592, 18296, 9148, 4574, 2287, 6862, 3431, 10294, 5147, 15442, 7721, 23164, 11582, 5791, 17374, 8687, 26062, 13031, 39094, 19547, 58642, 29321, 87964, 43982, 21991, 65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 12197],
     [24394 > 1,
      0 is 24394 mod 2,
      12197 is 24394 // 2,
      collatz(12197, [12197, 36592, 18296, 9148, 4574, 2287, 6862, 3431, 10294, 5147, 15442, 7721, 23164, 11582, 5791, 17374, 8687, 26062, 13031, 39094, 19547, 58642, 29321, 87964, 43982, 21991, 65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(24394 > 1, builtin, [], []).
step(0 is 24394 mod 2, builtin, [], []).
step(12197 is 24394 // 2, builtin, [], []).
step(collatz(12197, [12197, 36592, 18296, 9148, 4574, 2287, 6862, 3431, 10294, 5147, 15442, 7721, 23164, 11582, 5791, 17374, 8687, 26062, 13031, 39094, 19547, 58642, 29321, 87964, 43982, 21991, 65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 12197,
      'J' = [36592, 18296, 9148, 4574, 2287, 6862, 3431, 10294, 5147, 15442, 7721, 23164, 11582, 5791, 17374, 8687, 26062, 13031, 39094, 19547, 58642, 29321, 87964, 43982, 21991, 65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 36591,
      'N1' = 36592],
     [12197 > 1,
      1 is 12197 mod 2,
      36591 is 3 * 12197,
      36592 is 36591 + 1,
      collatz(36592, [36592, 18296, 9148, 4574, 2287, 6862, 3431, 10294, 5147, 15442, 7721, 23164, 11582, 5791, 17374, 8687, 26062, 13031, 39094, 19547, 58642, 29321, 87964, 43982, 21991, 65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(12197 > 1, builtin, [], []).
step(1 is 12197 mod 2, builtin, [], []).
step(36591 is 3 * 12197, builtin, [], []).
step(36592 is 36591 + 1, builtin, [], []).
step(collatz(36592, [36592, 18296, 9148, 4574, 2287, 6862, 3431, 10294, 5147, 15442, 7721, 23164, 11582, 5791, 17374, 8687, 26062, 13031, 39094, 19547, 58642, 29321, 87964, 43982, 21991, 65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 36592,
      'J' = [18296, 9148, 4574, 2287, 6862, 3431, 10294, 5147, 15442, 7721, 23164, 11582, 5791, 17374, 8687, 26062, 13031, 39094, 19547, 58642, 29321, 87964, 43982, 21991, 65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 18296],
     [36592 > 1,
      0 is 36592 mod 2,
      18296 is 36592 // 2,
      collatz(18296, [18296, 9148, 4574, 2287, 6862, 3431, 10294, 5147, 15442, 7721, 23164, 11582, 5791, 17374, 8687, 26062, 13031, 39094, 19547, 58642, 29321, 87964, 43982, 21991, 65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(36592 > 1, builtin, [], []).
step(0 is 36592 mod 2, builtin, [], []).
step(18296 is 36592 // 2, builtin, [], []).
step(collatz(18296, [18296, 9148, 4574, 2287, 6862, 3431, 10294, 5147, 15442, 7721, 23164, 11582, 5791, 17374, 8687, 26062, 13031, 39094, 19547, 58642, 29321, 87964, 43982, 21991, 65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 18296,
      'J' = [9148, 4574, 2287, 6862, 3431, 10294, 5147, 15442, 7721, 23164, 11582, 5791, 17374, 8687, 26062, 13031, 39094, 19547, 58642, 29321, 87964, 43982, 21991, 65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 9148],
     [18296 > 1,
      0 is 18296 mod 2,
      9148 is 18296 // 2,
      collatz(9148, [9148, 4574, 2287, 6862, 3431, 10294, 5147, 15442, 7721, 23164, 11582, 5791, 17374, 8687, 26062, 13031, 39094, 19547, 58642, 29321, 87964, 43982, 21991, 65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(18296 > 1, builtin, [], []).
step(0 is 18296 mod 2, builtin, [], []).
step(9148 is 18296 // 2, builtin, [], []).
step(collatz(9148, [9148, 4574, 2287, 6862, 3431, 10294, 5147, 15442, 7721, 23164, 11582, 5791, 17374, 8687, 26062, 13031, 39094, 19547, 58642, 29321, 87964, 43982, 21991, 65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 9148,
      'J' = [4574, 2287, 6862, 3431, 10294, 5147, 15442, 7721, 23164, 11582, 5791, 17374, 8687, 26062, 13031, 39094, 19547, 58642, 29321, 87964, 43982, 21991, 65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 4574],
     [9148 > 1,
      0 is 9148 mod 2,
      4574 is 9148 // 2,
      collatz(4574, [4574, 2287, 6862, 3431, 10294, 5147, 15442, 7721, 23164, 11582, 5791, 17374, 8687, 26062, 13031, 39094, 19547, 58642, 29321, 87964, 43982, 21991, 65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(9148 > 1, builtin, [], []).
step(0 is 9148 mod 2, builtin, [], []).
step(4574 is 9148 // 2, builtin, [], []).
step(collatz(4574, [4574, 2287, 6862, 3431, 10294, 5147, 15442, 7721, 23164, 11582, 5791, 17374, 8687, 26062, 13031, 39094, 19547, 58642, 29321, 87964, 43982, 21991, 65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 4574,
      'J' = [2287, 6862, 3431, 10294, 5147, 15442, 7721, 23164, 11582, 5791, 17374, 8687, 26062, 13031, 39094, 19547, 58642, 29321, 87964, 43982, 21991, 65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 2287],
     [4574 > 1,
      0 is 4574 mod 2,
      2287 is 4574 // 2,
      collatz(2287, [2287, 6862, 3431, 10294, 5147, 15442, 7721, 23164, 11582, 5791, 17374, 8687, 26062, 13031, 39094, 19547, 58642, 29321, 87964, 43982, 21991, 65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(4574 > 1, builtin, [], []).
step(0 is 4574 mod 2, builtin, [], []).
step(2287 is 4574 // 2, builtin, [], []).
step(collatz(2287, [2287, 6862, 3431, 10294, 5147, 15442, 7721, 23164, 11582, 5791, 17374, 8687, 26062, 13031, 39094, 19547, 58642, 29321, 87964, 43982, 21991, 65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 2287,
      'J' = [6862, 3431, 10294, 5147, 15442, 7721, 23164, 11582, 5791, 17374, 8687, 26062, 13031, 39094, 19547, 58642, 29321, 87964, 43982, 21991, 65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 6861,
      'N1' = 6862],
     [2287 > 1,
      1 is 2287 mod 2,
      6861 is 3 * 2287,
      6862 is 6861 + 1,
      collatz(6862, [6862, 3431, 10294, 5147, 15442, 7721, 23164, 11582, 5791, 17374, 8687, 26062, 13031, 39094, 19547, 58642, 29321, 87964, 43982, 21991, 65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2287 > 1, builtin, [], []).
step(1 is 2287 mod 2, builtin, [], []).
step(6861 is 3 * 2287, builtin, [], []).
step(6862 is 6861 + 1, builtin, [], []).
step(collatz(6862, [6862, 3431, 10294, 5147, 15442, 7721, 23164, 11582, 5791, 17374, 8687, 26062, 13031, 39094, 19547, 58642, 29321, 87964, 43982, 21991, 65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 6862,
      'J' = [3431, 10294, 5147, 15442, 7721, 23164, 11582, 5791, 17374, 8687, 26062, 13031, 39094, 19547, 58642, 29321, 87964, 43982, 21991, 65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 3431],
     [6862 > 1,
      0 is 6862 mod 2,
      3431 is 6862 // 2,
      collatz(3431, [3431, 10294, 5147, 15442, 7721, 23164, 11582, 5791, 17374, 8687, 26062, 13031, 39094, 19547, 58642, 29321, 87964, 43982, 21991, 65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(6862 > 1, builtin, [], []).
step(0 is 6862 mod 2, builtin, [], []).
step(3431 is 6862 // 2, builtin, [], []).
step(collatz(3431, [3431, 10294, 5147, 15442, 7721, 23164, 11582, 5791, 17374, 8687, 26062, 13031, 39094, 19547, 58642, 29321, 87964, 43982, 21991, 65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 3431,
      'J' = [10294, 5147, 15442, 7721, 23164, 11582, 5791, 17374, 8687, 26062, 13031, 39094, 19547, 58642, 29321, 87964, 43982, 21991, 65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 10293,
      'N1' = 10294],
     [3431 > 1,
      1 is 3431 mod 2,
      10293 is 3 * 3431,
      10294 is 10293 + 1,
      collatz(10294, [10294, 5147, 15442, 7721, 23164, 11582, 5791, 17374, 8687, 26062, 13031, 39094, 19547, 58642, 29321, 87964, 43982, 21991, 65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(3431 > 1, builtin, [], []).
step(1 is 3431 mod 2, builtin, [], []).
step(10293 is 3 * 3431, builtin, [], []).
step(10294 is 10293 + 1, builtin, [], []).
step(collatz(10294, [10294, 5147, 15442, 7721, 23164, 11582, 5791, 17374, 8687, 26062, 13031, 39094, 19547, 58642, 29321, 87964, 43982, 21991, 65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 10294,
      'J' = [5147, 15442, 7721, 23164, 11582, 5791, 17374, 8687, 26062, 13031, 39094, 19547, 58642, 29321, 87964, 43982, 21991, 65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 5147],
     [10294 > 1,
      0 is 10294 mod 2,
      5147 is 10294 // 2,
      collatz(5147, [5147, 15442, 7721, 23164, 11582, 5791, 17374, 8687, 26062, 13031, 39094, 19547, 58642, 29321, 87964, 43982, 21991, 65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(10294 > 1, builtin, [], []).
step(0 is 10294 mod 2, builtin, [], []).
step(5147 is 10294 // 2, builtin, [], []).
step(collatz(5147, [5147, 15442, 7721, 23164, 11582, 5791, 17374, 8687, 26062, 13031, 39094, 19547, 58642, 29321, 87964, 43982, 21991, 65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 5147,
      'J' = [15442, 7721, 23164, 11582, 5791, 17374, 8687, 26062, 13031, 39094, 19547, 58642, 29321, 87964, 43982, 21991, 65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 15441,
      'N1' = 15442],
     [5147 > 1,
      1 is 5147 mod 2,
      15441 is 3 * 5147,
      15442 is 15441 + 1,
      collatz(15442, [15442, 7721, 23164, 11582, 5791, 17374, 8687, 26062, 13031, 39094, 19547, 58642, 29321, 87964, 43982, 21991, 65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(5147 > 1, builtin, [], []).
step(1 is 5147 mod 2, builtin, [], []).
step(15441 is 3 * 5147, builtin, [], []).
step(15442 is 15441 + 1, builtin, [], []).
step(collatz(15442, [15442, 7721, 23164, 11582, 5791, 17374, 8687, 26062, 13031, 39094, 19547, 58642, 29321, 87964, 43982, 21991, 65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 15442,
      'J' = [7721, 23164, 11582, 5791, 17374, 8687, 26062, 13031, 39094, 19547, 58642, 29321, 87964, 43982, 21991, 65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 7721],
     [15442 > 1,
      0 is 15442 mod 2,
      7721 is 15442 // 2,
      collatz(7721, [7721, 23164, 11582, 5791, 17374, 8687, 26062, 13031, 39094, 19547, 58642, 29321, 87964, 43982, 21991, 65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(15442 > 1, builtin, [], []).
step(0 is 15442 mod 2, builtin, [], []).
step(7721 is 15442 // 2, builtin, [], []).
step(collatz(7721, [7721, 23164, 11582, 5791, 17374, 8687, 26062, 13031, 39094, 19547, 58642, 29321, 87964, 43982, 21991, 65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 7721,
      'J' = [23164, 11582, 5791, 17374, 8687, 26062, 13031, 39094, 19547, 58642, 29321, 87964, 43982, 21991, 65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 23163,
      'N1' = 23164],
     [7721 > 1,
      1 is 7721 mod 2,
      23163 is 3 * 7721,
      23164 is 23163 + 1,
      collatz(23164, [23164, 11582, 5791, 17374, 8687, 26062, 13031, 39094, 19547, 58642, 29321, 87964, 43982, 21991, 65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(7721 > 1, builtin, [], []).
step(1 is 7721 mod 2, builtin, [], []).
step(23163 is 3 * 7721, builtin, [], []).
step(23164 is 23163 + 1, builtin, [], []).
step(collatz(23164, [23164, 11582, 5791, 17374, 8687, 26062, 13031, 39094, 19547, 58642, 29321, 87964, 43982, 21991, 65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 23164,
      'J' = [11582, 5791, 17374, 8687, 26062, 13031, 39094, 19547, 58642, 29321, 87964, 43982, 21991, 65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 11582],
     [23164 > 1,
      0 is 23164 mod 2,
      11582 is 23164 // 2,
      collatz(11582, [11582, 5791, 17374, 8687, 26062, 13031, 39094, 19547, 58642, 29321, 87964, 43982, 21991, 65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(23164 > 1, builtin, [], []).
step(0 is 23164 mod 2, builtin, [], []).
step(11582 is 23164 // 2, builtin, [], []).
step(collatz(11582, [11582, 5791, 17374, 8687, 26062, 13031, 39094, 19547, 58642, 29321, 87964, 43982, 21991, 65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 11582,
      'J' = [5791, 17374, 8687, 26062, 13031, 39094, 19547, 58642, 29321, 87964, 43982, 21991, 65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 5791],
     [11582 > 1,
      0 is 11582 mod 2,
      5791 is 11582 // 2,
      collatz(5791, [5791, 17374, 8687, 26062, 13031, 39094, 19547, 58642, 29321, 87964, 43982, 21991, 65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(11582 > 1, builtin, [], []).
step(0 is 11582 mod 2, builtin, [], []).
step(5791 is 11582 // 2, builtin, [], []).
step(collatz(5791, [5791, 17374, 8687, 26062, 13031, 39094, 19547, 58642, 29321, 87964, 43982, 21991, 65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 5791,
      'J' = [17374, 8687, 26062, 13031, 39094, 19547, 58642, 29321, 87964, 43982, 21991, 65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 17373,
      'N1' = 17374],
     [5791 > 1,
      1 is 5791 mod 2,
      17373 is 3 * 5791,
      17374 is 17373 + 1,
      collatz(17374, [17374, 8687, 26062, 13031, 39094, 19547, 58642, 29321, 87964, 43982, 21991, 65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(5791 > 1, builtin, [], []).
step(1 is 5791 mod 2, builtin, [], []).
step(17373 is 3 * 5791, builtin, [], []).
step(17374 is 17373 + 1, builtin, [], []).
step(collatz(17374, [17374, 8687, 26062, 13031, 39094, 19547, 58642, 29321, 87964, 43982, 21991, 65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 17374,
      'J' = [8687, 26062, 13031, 39094, 19547, 58642, 29321, 87964, 43982, 21991, 65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 8687],
     [17374 > 1,
      0 is 17374 mod 2,
      8687 is 17374 // 2,
      collatz(8687, [8687, 26062, 13031, 39094, 19547, 58642, 29321, 87964, 43982, 21991, 65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(17374 > 1, builtin, [], []).
step(0 is 17374 mod 2, builtin, [], []).
step(8687 is 17374 // 2, builtin, [], []).
step(collatz(8687, [8687, 26062, 13031, 39094, 19547, 58642, 29321, 87964, 43982, 21991, 65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 8687,
      'J' = [26062, 13031, 39094, 19547, 58642, 29321, 87964, 43982, 21991, 65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 26061,
      'N1' = 26062],
     [8687 > 1,
      1 is 8687 mod 2,
      26061 is 3 * 8687,
      26062 is 26061 + 1,
      collatz(26062, [26062, 13031, 39094, 19547, 58642, 29321, 87964, 43982, 21991, 65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(8687 > 1, builtin, [], []).
step(1 is 8687 mod 2, builtin, [], []).
step(26061 is 3 * 8687, builtin, [], []).
step(26062 is 26061 + 1, builtin, [], []).
step(collatz(26062, [26062, 13031, 39094, 19547, 58642, 29321, 87964, 43982, 21991, 65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 26062,
      'J' = [13031, 39094, 19547, 58642, 29321, 87964, 43982, 21991, 65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 13031],
     [26062 > 1,
      0 is 26062 mod 2,
      13031 is 26062 // 2,
      collatz(13031, [13031, 39094, 19547, 58642, 29321, 87964, 43982, 21991, 65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(26062 > 1, builtin, [], []).
step(0 is 26062 mod 2, builtin, [], []).
step(13031 is 26062 // 2, builtin, [], []).
step(collatz(13031, [13031, 39094, 19547, 58642, 29321, 87964, 43982, 21991, 65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 13031,
      'J' = [39094, 19547, 58642, 29321, 87964, 43982, 21991, 65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 39093,
      'N1' = 39094],
     [13031 > 1,
      1 is 13031 mod 2,
      39093 is 3 * 13031,
      39094 is 39093 + 1,
      collatz(39094, [39094, 19547, 58642, 29321, 87964, 43982, 21991, 65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(13031 > 1, builtin, [], []).
step(1 is 13031 mod 2, builtin, [], []).
step(39093 is 3 * 13031, builtin, [], []).
step(39094 is 39093 + 1, builtin, [], []).
step(collatz(39094, [39094, 19547, 58642, 29321, 87964, 43982, 21991, 65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 39094,
      'J' = [19547, 58642, 29321, 87964, 43982, 21991, 65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 19547],
     [39094 > 1,
      0 is 39094 mod 2,
      19547 is 39094 // 2,
      collatz(19547, [19547, 58642, 29321, 87964, 43982, 21991, 65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(39094 > 1, builtin, [], []).
step(0 is 39094 mod 2, builtin, [], []).
step(19547 is 39094 // 2, builtin, [], []).
step(collatz(19547, [19547, 58642, 29321, 87964, 43982, 21991, 65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 19547,
      'J' = [58642, 29321, 87964, 43982, 21991, 65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 58641,
      'N1' = 58642],
     [19547 > 1,
      1 is 19547 mod 2,
      58641 is 3 * 19547,
      58642 is 58641 + 1,
      collatz(58642, [58642, 29321, 87964, 43982, 21991, 65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(19547 > 1, builtin, [], []).
step(1 is 19547 mod 2, builtin, [], []).
step(58641 is 3 * 19547, builtin, [], []).
step(58642 is 58641 + 1, builtin, [], []).
step(collatz(58642, [58642, 29321, 87964, 43982, 21991, 65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 58642,
      'J' = [29321, 87964, 43982, 21991, 65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 29321],
     [58642 > 1,
      0 is 58642 mod 2,
      29321 is 58642 // 2,
      collatz(29321, [29321, 87964, 43982, 21991, 65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(58642 > 1, builtin, [], []).
step(0 is 58642 mod 2, builtin, [], []).
step(29321 is 58642 // 2, builtin, [], []).
step(collatz(29321, [29321, 87964, 43982, 21991, 65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 29321,
      'J' = [87964, 43982, 21991, 65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 87963,
      'N1' = 87964],
     [29321 > 1,
      1 is 29321 mod 2,
      87963 is 3 * 29321,
      87964 is 87963 + 1,
      collatz(87964, [87964, 43982, 21991, 65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(29321 > 1, builtin, [], []).
step(1 is 29321 mod 2, builtin, [], []).
step(87963 is 3 * 29321, builtin, [], []).
step(87964 is 87963 + 1, builtin, [], []).
step(collatz(87964, [87964, 43982, 21991, 65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 87964,
      'J' = [43982, 21991, 65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 43982],
     [87964 > 1,
      0 is 87964 mod 2,
      43982 is 87964 // 2,
      collatz(43982, [43982, 21991, 65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(87964 > 1, builtin, [], []).
step(0 is 87964 mod 2, builtin, [], []).
step(43982 is 87964 // 2, builtin, [], []).
step(collatz(43982, [43982, 21991, 65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 43982,
      'J' = [21991, 65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 21991],
     [43982 > 1,
      0 is 43982 mod 2,
      21991 is 43982 // 2,
      collatz(21991, [21991, 65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(43982 > 1, builtin, [], []).
step(0 is 43982 mod 2, builtin, [], []).
step(21991 is 43982 // 2, builtin, [], []).
step(collatz(21991, [21991, 65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 21991,
      'J' = [65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 65973,
      'N1' = 65974],
     [21991 > 1,
      1 is 21991 mod 2,
      65973 is 3 * 21991,
      65974 is 65973 + 1,
      collatz(65974, [65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(21991 > 1, builtin, [], []).
step(1 is 21991 mod 2, builtin, [], []).
step(65973 is 3 * 21991, builtin, [], []).
step(65974 is 65973 + 1, builtin, [], []).
step(collatz(65974, [65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 65974,
      'J' = [32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 32987],
     [65974 > 1,
      0 is 65974 mod 2,
      32987 is 65974 // 2,
      collatz(32987, [32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(65974 > 1, builtin, [], []).
step(0 is 65974 mod 2, builtin, [], []).
step(32987 is 65974 // 2, builtin, [], []).
step(collatz(32987, [32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 32987,
      'J' = [98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 98961,
      'N1' = 98962],
     [32987 > 1,
      1 is 32987 mod 2,
      98961 is 3 * 32987,
      98962 is 98961 + 1,
      collatz(98962, [98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(32987 > 1, builtin, [], []).
step(1 is 32987 mod 2, builtin, [], []).
step(98961 is 3 * 32987, builtin, [], []).
step(98962 is 98961 + 1, builtin, [], []).
step(collatz(98962, [98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 98962,
      'J' = [49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 49481],
     [98962 > 1,
      0 is 98962 mod 2,
      49481 is 98962 // 2,
      collatz(49481, [49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(98962 > 1, builtin, [], []).
step(0 is 98962 mod 2, builtin, [], []).
step(49481 is 98962 // 2, builtin, [], []).
step(collatz(49481, [49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 49481,
      'J' = [148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 148443,
      'N1' = 148444],
     [49481 > 1,
      1 is 49481 mod 2,
      148443 is 3 * 49481,
      148444 is 148443 + 1,
      collatz(148444, [148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(49481 > 1, builtin, [], []).
step(1 is 49481 mod 2, builtin, [], []).
step(148443 is 3 * 49481, builtin, [], []).
step(148444 is 148443 + 1, builtin, [], []).
step(collatz(148444, [148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 148444,
      'J' = [74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 74222],
     [148444 > 1,
      0 is 148444 mod 2,
      74222 is 148444 // 2,
      collatz(74222, [74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(148444 > 1, builtin, [], []).
step(0 is 148444 mod 2, builtin, [], []).
step(74222 is 148444 // 2, builtin, [], []).
step(collatz(74222, [74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 74222,
      'J' = [37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 37111],
     [74222 > 1,
      0 is 74222 mod 2,
      37111 is 74222 // 2,
      collatz(37111, [37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(74222 > 1, builtin, [], []).
step(0 is 74222 mod 2, builtin, [], []).
step(37111 is 74222 // 2, builtin, [], []).
step(collatz(37111, [37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 37111,
      'J' = [111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 111333,
      'N1' = 111334],
     [37111 > 1,
      1 is 37111 mod 2,
      111333 is 3 * 37111,
      111334 is 111333 + 1,
      collatz(111334, [111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(37111 > 1, builtin, [], []).
step(1 is 37111 mod 2, builtin, [], []).
step(111333 is 3 * 37111, builtin, [], []).
step(111334 is 111333 + 1, builtin, [], []).
step(collatz(111334, [111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 111334,
      'J' = [55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 55667],
     [111334 > 1,
      0 is 111334 mod 2,
      55667 is 111334 // 2,
      collatz(55667, [55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(111334 > 1, builtin, [], []).
step(0 is 111334 mod 2, builtin, [], []).
step(55667 is 111334 // 2, builtin, [], []).
step(collatz(55667, [55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 55667,
      'J' = [167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 167001,
      'N1' = 167002],
     [55667 > 1,
      1 is 55667 mod 2,
      167001 is 3 * 55667,
      167002 is 167001 + 1,
      collatz(167002, [167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(55667 > 1, builtin, [], []).
step(1 is 55667 mod 2, builtin, [], []).
step(167001 is 3 * 55667, builtin, [], []).
step(167002 is 167001 + 1, builtin, [], []).
step(collatz(167002, [167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 167002,
      'J' = [83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 83501],
     [167002 > 1,
      0 is 167002 mod 2,
      83501 is 167002 // 2,
      collatz(83501, [83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(167002 > 1, builtin, [], []).
step(0 is 167002 mod 2, builtin, [], []).
step(83501 is 167002 // 2, builtin, [], []).
step(collatz(83501, [83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 83501,
      'J' = [250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 250503,
      'N1' = 250504],
     [83501 > 1,
      1 is 83501 mod 2,
      250503 is 3 * 83501,
      250504 is 250503 + 1,
      collatz(250504, [250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(83501 > 1, builtin, [], []).
step(1 is 83501 mod 2, builtin, [], []).
step(250503 is 3 * 83501, builtin, [], []).
step(250504 is 250503 + 1, builtin, [], []).
step(collatz(250504, [250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 250504,
      'J' = [125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 125252],
     [250504 > 1,
      0 is 250504 mod 2,
      125252 is 250504 // 2,
      collatz(125252, [125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(250504 > 1, builtin, [], []).
step(0 is 250504 mod 2, builtin, [], []).
step(125252 is 250504 // 2, builtin, [], []).
step(collatz(125252, [125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 125252,
      'J' = [62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 62626],
     [125252 > 1,
      0 is 125252 mod 2,
      62626 is 125252 // 2,
      collatz(62626, [62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(125252 > 1, builtin, [], []).
step(0 is 125252 mod 2, builtin, [], []).
step(62626 is 125252 // 2, builtin, [], []).
step(collatz(62626, [62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 62626,
      'J' = [31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 31313],
     [62626 > 1,
      0 is 62626 mod 2,
      31313 is 62626 // 2,
      collatz(31313, [31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(62626 > 1, builtin, [], []).
step(0 is 62626 mod 2, builtin, [], []).
step(31313 is 62626 // 2, builtin, [], []).
step(collatz(31313, [31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 31313,
      'J' = [93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 93939,
      'N1' = 93940],
     [31313 > 1,
      1 is 31313 mod 2,
      93939 is 3 * 31313,
      93940 is 93939 + 1,
      collatz(93940, [93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(31313 > 1, builtin, [], []).
step(1 is 31313 mod 2, builtin, [], []).
step(93939 is 3 * 31313, builtin, [], []).
step(93940 is 93939 + 1, builtin, [], []).
step(collatz(93940, [93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 93940,
      'J' = [46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 46970],
     [93940 > 1,
      0 is 93940 mod 2,
      46970 is 93940 // 2,
      collatz(46970, [46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(93940 > 1, builtin, [], []).
step(0 is 93940 mod 2, builtin, [], []).
step(46970 is 93940 // 2, builtin, [], []).
step(collatz(46970, [46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 46970,
      'J' = [23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 23485],
     [46970 > 1,
      0 is 46970 mod 2,
      23485 is 46970 // 2,
      collatz(23485, [23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(46970 > 1, builtin, [], []).
step(0 is 46970 mod 2, builtin, [], []).
step(23485 is 46970 // 2, builtin, [], []).
step(collatz(23485, [23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 23485,
      'J' = [70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 70455,
      'N1' = 70456],
     [23485 > 1,
      1 is 23485 mod 2,
      70455 is 3 * 23485,
      70456 is 70455 + 1,
      collatz(70456, [70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(23485 > 1, builtin, [], []).
step(1 is 23485 mod 2, builtin, [], []).
step(70455 is 3 * 23485, builtin, [], []).
step(70456 is 70455 + 1, builtin, [], []).
step(collatz(70456, [70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 70456,
      'J' = [35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 35228],
     [70456 > 1,
      0 is 70456 mod 2,
      35228 is 70456 // 2,
      collatz(35228, [35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(70456 > 1, builtin, [], []).
step(0 is 70456 mod 2, builtin, [], []).
step(35228 is 70456 // 2, builtin, [], []).
step(collatz(35228, [35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 35228,
      'J' = [17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 17614],
     [35228 > 1,
      0 is 35228 mod 2,
      17614 is 35228 // 2,
      collatz(17614, [17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(35228 > 1, builtin, [], []).
step(0 is 35228 mod 2, builtin, [], []).
step(17614 is 35228 // 2, builtin, [], []).
step(collatz(17614, [17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 17614,
      'J' = [8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 8807],
     [17614 > 1,
      0 is 17614 mod 2,
      8807 is 17614 // 2,
      collatz(8807, [8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(17614 > 1, builtin, [], []).
step(0 is 17614 mod 2, builtin, [], []).
step(8807 is 17614 // 2, builtin, [], []).
step(collatz(8807, [8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 8807,
      'J' = [26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 26421,
      'N1' = 26422],
     [8807 > 1,
      1 is 8807 mod 2,
      26421 is 3 * 8807,
      26422 is 26421 + 1,
      collatz(26422, [26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(8807 > 1, builtin, [], []).
step(1 is 8807 mod 2, builtin, [], []).
step(26421 is 3 * 8807, builtin, [], []).
step(26422 is 26421 + 1, builtin, [], []).
step(collatz(26422, [26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 26422,
      'J' = [13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 13211],
     [26422 > 1,
      0 is 26422 mod 2,
      13211 is 26422 // 2,
      collatz(13211, [13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(26422 > 1, builtin, [], []).
step(0 is 26422 mod 2, builtin, [], []).
step(13211 is 26422 // 2, builtin, [], []).
step(collatz(13211, [13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 13211,
      'J' = [39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 39633,
      'N1' = 39634],
     [13211 > 1,
      1 is 13211 mod 2,
      39633 is 3 * 13211,
      39634 is 39633 + 1,
      collatz(39634, [39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(13211 > 1, builtin, [], []).
step(1 is 13211 mod 2, builtin, [], []).
step(39633 is 3 * 13211, builtin, [], []).
step(39634 is 39633 + 1, builtin, [], []).
step(collatz(39634, [39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 39634,
      'J' = [19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 19817],
     [39634 > 1,
      0 is 39634 mod 2,
      19817 is 39634 // 2,
      collatz(19817, [19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(39634 > 1, builtin, [], []).
step(0 is 39634 mod 2, builtin, [], []).
step(19817 is 39634 // 2, builtin, [], []).
step(collatz(19817, [19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 19817,
      'J' = [59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 59451,
      'N1' = 59452],
     [19817 > 1,
      1 is 19817 mod 2,
      59451 is 3 * 19817,
      59452 is 59451 + 1,
      collatz(59452, [59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(19817 > 1, builtin, [], []).
step(1 is 19817 mod 2, builtin, [], []).
step(59451 is 3 * 19817, builtin, [], []).
step(59452 is 59451 + 1, builtin, [], []).
step(collatz(59452, [59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 59452,
      'J' = [29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 29726],
     [59452 > 1,
      0 is 59452 mod 2,
      29726 is 59452 // 2,
      collatz(29726, [29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(59452 > 1, builtin, [], []).
step(0 is 59452 mod 2, builtin, [], []).
step(29726 is 59452 // 2, builtin, [], []).
step(collatz(29726, [29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 29726,
      'J' = [14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 14863],
     [29726 > 1,
      0 is 29726 mod 2,
      14863 is 29726 // 2,
      collatz(14863, [14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(29726 > 1, builtin, [], []).
step(0 is 29726 mod 2, builtin, [], []).
step(14863 is 29726 // 2, builtin, [], []).
step(collatz(14863, [14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 14863,
      'J' = [44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 44589,
      'N1' = 44590],
     [14863 > 1,
      1 is 14863 mod 2,
      44589 is 3 * 14863,
      44590 is 44589 + 1,
      collatz(44590, [44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(14863 > 1, builtin, [], []).
step(1 is 14863 mod 2, builtin, [], []).
step(44589 is 3 * 14863, builtin, [], []).
step(44590 is 44589 + 1, builtin, [], []).
step(collatz(44590, [44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 44590,
      'J' = [22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 22295],
     [44590 > 1,
      0 is 44590 mod 2,
      22295 is 44590 // 2,
      collatz(22295, [22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(44590 > 1, builtin, [], []).
step(0 is 44590 mod 2, builtin, [], []).
step(22295 is 44590 // 2, builtin, [], []).
step(collatz(22295, [22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 22295,
      'J' = [66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 66885,
      'N1' = 66886],
     [22295 > 1,
      1 is 22295 mod 2,
      66885 is 3 * 22295,
      66886 is 66885 + 1,
      collatz(66886, [66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(22295 > 1, builtin, [], []).
step(1 is 22295 mod 2, builtin, [], []).
step(66885 is 3 * 22295, builtin, [], []).
step(66886 is 66885 + 1, builtin, [], []).
step(collatz(66886, [66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 66886,
      'J' = [33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 33443],
     [66886 > 1,
      0 is 66886 mod 2,
      33443 is 66886 // 2,
      collatz(33443, [33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(66886 > 1, builtin, [], []).
step(0 is 66886 mod 2, builtin, [], []).
step(33443 is 66886 // 2, builtin, [], []).
step(collatz(33443, [33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 33443,
      'J' = [100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 100329,
      'N1' = 100330],
     [33443 > 1,
      1 is 33443 mod 2,
      100329 is 3 * 33443,
      100330 is 100329 + 1,
      collatz(100330, [100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(33443 > 1, builtin, [], []).
step(1 is 33443 mod 2, builtin, [], []).
step(100329 is 3 * 33443, builtin, [], []).
step(100330 is 100329 + 1, builtin, [], []).
step(collatz(100330, [100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 100330,
      'J' = [50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 50165],
     [100330 > 1,
      0 is 100330 mod 2,
      50165 is 100330 // 2,
      collatz(50165, [50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(100330 > 1, builtin, [], []).
step(0 is 100330 mod 2, builtin, [], []).
step(50165 is 100330 // 2, builtin, [], []).
step(collatz(50165, [50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 50165,
      'J' = [150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 150495,
      'N1' = 150496],
     [50165 > 1,
      1 is 50165 mod 2,
      150495 is 3 * 50165,
      150496 is 150495 + 1,
      collatz(150496, [150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(50165 > 1, builtin, [], []).
step(1 is 50165 mod 2, builtin, [], []).
step(150495 is 3 * 50165, builtin, [], []).
step(150496 is 150495 + 1, builtin, [], []).
step(collatz(150496, [150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 150496,
      'J' = [75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 75248],
     [150496 > 1,
      0 is 150496 mod 2,
      75248 is 150496 // 2,
      collatz(75248, [75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(150496 > 1, builtin, [], []).
step(0 is 150496 mod 2, builtin, [], []).
step(75248 is 150496 // 2, builtin, [], []).
step(collatz(75248, [75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 75248,
      'J' = [37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 37624],
     [75248 > 1,
      0 is 75248 mod 2,
      37624 is 75248 // 2,
      collatz(37624, [37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(75248 > 1, builtin, [], []).
step(0 is 75248 mod 2, builtin, [], []).
step(37624 is 75248 // 2, builtin, [], []).
step(collatz(37624, [37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 37624,
      'J' = [18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 18812],
     [37624 > 1,
      0 is 37624 mod 2,
      18812 is 37624 // 2,
      collatz(18812, [18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(37624 > 1, builtin, [], []).
step(0 is 37624 mod 2, builtin, [], []).
step(18812 is 37624 // 2, builtin, [], []).
step(collatz(18812, [18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 18812,
      'J' = [9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 9406],
     [18812 > 1,
      0 is 18812 mod 2,
      9406 is 18812 // 2,
      collatz(9406, [9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(18812 > 1, builtin, [], []).
step(0 is 18812 mod 2, builtin, [], []).
step(9406 is 18812 // 2, builtin, [], []).
step(collatz(9406, [9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 9406,
      'J' = [4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 4703],
     [9406 > 1,
      0 is 9406 mod 2,
      4703 is 9406 // 2,
      collatz(4703, [4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(9406 > 1, builtin, [], []).
step(0 is 9406 mod 2, builtin, [], []).
step(4703 is 9406 // 2, builtin, [], []).
step(collatz(4703, [4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 4703,
      'J' = [14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 14109,
      'N1' = 14110],
     [4703 > 1,
      1 is 4703 mod 2,
      14109 is 3 * 4703,
      14110 is 14109 + 1,
      collatz(14110, [14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(4703 > 1, builtin, [], []).
step(1 is 4703 mod 2, builtin, [], []).
step(14109 is 3 * 4703, builtin, [], []).
step(14110 is 14109 + 1, builtin, [], []).
step(collatz(14110, [14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 14110,
      'J' = [7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 7055],
     [14110 > 1,
      0 is 14110 mod 2,
      7055 is 14110 // 2,
      collatz(7055, [7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(14110 > 1, builtin, [], []).
step(0 is 14110 mod 2, builtin, [], []).
step(7055 is 14110 // 2, builtin, [], []).
step(collatz(7055, [7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 7055,
      'J' = [21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 21165,
      'N1' = 21166],
     [7055 > 1,
      1 is 7055 mod 2,
      21165 is 3 * 7055,
      21166 is 21165 + 1,
      collatz(21166, [21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(7055 > 1, builtin, [], []).
step(1 is 7055 mod 2, builtin, [], []).
step(21165 is 3 * 7055, builtin, [], []).
step(21166 is 21165 + 1, builtin, [], []).
step(collatz(21166, [21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 21166,
      'J' = [10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 10583],
     [21166 > 1,
      0 is 21166 mod 2,
      10583 is 21166 // 2,
      collatz(10583, [10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(21166 > 1, builtin, [], []).
step(0 is 21166 mod 2, builtin, [], []).
step(10583 is 21166 // 2, builtin, [], []).
step(collatz(10583, [10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 10583,
      'J' = [31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 31749,
      'N1' = 31750],
     [10583 > 1,
      1 is 10583 mod 2,
      31749 is 3 * 10583,
      31750 is 31749 + 1,
      collatz(31750, [31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(10583 > 1, builtin, [], []).
step(1 is 10583 mod 2, builtin, [], []).
step(31749 is 3 * 10583, builtin, [], []).
step(31750 is 31749 + 1, builtin, [], []).
step(collatz(31750, [31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 31750,
      'J' = [15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 15875],
     [31750 > 1,
      0 is 31750 mod 2,
      15875 is 31750 // 2,
      collatz(15875, [15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(31750 > 1, builtin, [], []).
step(0 is 31750 mod 2, builtin, [], []).
step(15875 is 31750 // 2, builtin, [], []).
step(collatz(15875, [15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 15875,
      'J' = [47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 47625,
      'N1' = 47626],
     [15875 > 1,
      1 is 15875 mod 2,
      47625 is 3 * 15875,
      47626 is 47625 + 1,
      collatz(47626, [47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(15875 > 1, builtin, [], []).
step(1 is 15875 mod 2, builtin, [], []).
step(47625 is 3 * 15875, builtin, [], []).
step(47626 is 47625 + 1, builtin, [], []).
step(collatz(47626, [47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 47626,
      'J' = [23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 23813],
     [47626 > 1,
      0 is 47626 mod 2,
      23813 is 47626 // 2,
      collatz(23813, [23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(47626 > 1, builtin, [], []).
step(0 is 47626 mod 2, builtin, [], []).
step(23813 is 47626 // 2, builtin, [], []).
step(collatz(23813, [23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 23813,
      'J' = [71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 71439,
      'N1' = 71440],
     [23813 > 1,
      1 is 23813 mod 2,
      71439 is 3 * 23813,
      71440 is 71439 + 1,
      collatz(71440, [71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(23813 > 1, builtin, [], []).
step(1 is 23813 mod 2, builtin, [], []).
step(71439 is 3 * 23813, builtin, [], []).
step(71440 is 71439 + 1, builtin, [], []).
step(collatz(71440, [71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 71440,
      'J' = [35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 35720],
     [71440 > 1,
      0 is 71440 mod 2,
      35720 is 71440 // 2,
      collatz(35720, [35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(71440 > 1, builtin, [], []).
step(0 is 71440 mod 2, builtin, [], []).
step(35720 is 71440 // 2, builtin, [], []).
step(collatz(35720, [35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 35720,
      'J' = [17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 17860],
     [35720 > 1,
      0 is 35720 mod 2,
      17860 is 35720 // 2,
      collatz(17860, [17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(35720 > 1, builtin, [], []).
step(0 is 35720 mod 2, builtin, [], []).
step(17860 is 35720 // 2, builtin, [], []).
step(collatz(17860, [17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 17860,
      'J' = [8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 8930],
     [17860 > 1,
      0 is 17860 mod 2,
      8930 is 17860 // 2,
      collatz(8930, [8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(17860 > 1, builtin, [], []).
step(0 is 17860 mod 2, builtin, [], []).
step(8930 is 17860 // 2, builtin, [], []).
step(collatz(8930, [8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 8930,
      'J' = [4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 4465],
     [8930 > 1,
      0 is 8930 mod 2,
      4465 is 8930 // 2,
      collatz(4465, [4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(8930 > 1, builtin, [], []).
step(0 is 8930 mod 2, builtin, [], []).
step(4465 is 8930 // 2, builtin, [], []).
step(collatz(4465, [4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 4465,
      'J' = [13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 13395,
      'N1' = 13396],
     [4465 > 1,
      1 is 4465 mod 2,
      13395 is 3 * 4465,
      13396 is 13395 + 1,
      collatz(13396, [13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(4465 > 1, builtin, [], []).
step(1 is 4465 mod 2, builtin, [], []).
step(13395 is 3 * 4465, builtin, [], []).
step(13396 is 13395 + 1, builtin, [], []).
step(collatz(13396, [13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 13396,
      'J' = [6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 6698],
     [13396 > 1,
      0 is 13396 mod 2,
      6698 is 13396 // 2,
      collatz(6698, [6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(13396 > 1, builtin, [], []).
step(0 is 13396 mod 2, builtin, [], []).
step(6698 is 13396 // 2, builtin, [], []).
step(collatz(6698, [6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 6698,
      'J' = [3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 3349],
     [6698 > 1,
      0 is 6698 mod 2,
      3349 is 6698 // 2,
      collatz(3349, [3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(6698 > 1, builtin, [], []).
step(0 is 6698 mod 2, builtin, [], []).
step(3349 is 6698 // 2, builtin, [], []).
step(collatz(3349, [3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 3349,
      'J' = [10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 10047,
      'N1' = 10048],
     [3349 > 1,
      1 is 3349 mod 2,
      10047 is 3 * 3349,
      10048 is 10047 + 1,
      collatz(10048, [10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(3349 > 1, builtin, [], []).
step(1 is 3349 mod 2, builtin, [], []).
step(10047 is 3 * 3349, builtin, [], []).
step(10048 is 10047 + 1, builtin, [], []).
step(collatz(10048, [10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 10048,
      'J' = [5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 5024],
     [10048 > 1,
      0 is 10048 mod 2,
      5024 is 10048 // 2,
      collatz(5024, [5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(10048 > 1, builtin, [], []).
step(0 is 10048 mod 2, builtin, [], []).
step(5024 is 10048 // 2, builtin, [], []).
step(collatz(5024, [5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 5024,
      'J' = [2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 2512],
     [5024 > 1,
      0 is 5024 mod 2,
      2512 is 5024 // 2,
      collatz(2512, [2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(5024 > 1, builtin, [], []).
step(0 is 5024 mod 2, builtin, [], []).
step(2512 is 5024 // 2, builtin, [], []).
step(collatz(2512, [2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 2512,
      'J' = [1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1256],
     [2512 > 1,
      0 is 2512 mod 2,
      1256 is 2512 // 2,
      collatz(1256, [1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2512 > 1, builtin, [], []).
step(0 is 2512 mod 2, builtin, [], []).
step(1256 is 2512 // 2, builtin, [], []).
step(collatz(1256, [1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1256,
      'J' = [628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 628],
     [1256 > 1,
      0 is 1256 mod 2,
      628 is 1256 // 2,
      collatz(628, [628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1256 > 1, builtin, [], []).
step(0 is 1256 mod 2, builtin, [], []).
step(628 is 1256 // 2, builtin, [], []).
step(collatzTrajectory(936, [936, 468, 234, 117, 352, 176, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 936,
      'M' = [936, 468, 234, 117, 352, 176, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 64],
     [repeat(1000, 64),
      936 is 1000 - 64,
      collatz(936, [936, 468, 234, 117, 352, 176, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 64),
     rule(3),
     ['N' = 1000, 'I' = 64, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 64)]).
step(between(0, 999, 64), builtin, [], []).
step(936 is 1000 - 64, builtin, [], []).
step(collatz(936, [936, 468, 234, 117, 352, 176, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 936,
      'J' = [468, 234, 117, 352, 176, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 468],
     [936 > 1,
      0 is 936 mod 2,
      468 is 936 // 2,
      collatz(468, [468, 234, 117, 352, 176, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(936 > 1, builtin, [], []).
step(0 is 936 mod 2, builtin, [], []).
step(468 is 936 // 2, builtin, [], []).
step(collatz(468, [468, 234, 117, 352, 176, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 468,
      'J' = [234, 117, 352, 176, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 234],
     [468 > 1,
      0 is 468 mod 2,
      234 is 468 // 2,
      collatz(234, [234, 117, 352, 176, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(468 > 1, builtin, [], []).
step(0 is 468 mod 2, builtin, [], []).
step(234 is 468 // 2, builtin, [], []).
step(collatz(234, [234, 117, 352, 176, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 234,
      'J' = [117, 352, 176, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 117],
     [234 > 1,
      0 is 234 mod 2,
      117 is 234 // 2,
      collatz(117, [117, 352, 176, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(234 > 1, builtin, [], []).
step(0 is 234 mod 2, builtin, [], []).
step(117 is 234 // 2, builtin, [], []).
step(collatz(117, [117, 352, 176, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 117,
      'J' = [352, 176, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 351,
      'N1' = 352],
     [117 > 1,
      1 is 117 mod 2,
      351 is 3 * 117,
      352 is 351 + 1,
      collatz(352, [352, 176, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(117 > 1, builtin, [], []).
step(1 is 117 mod 2, builtin, [], []).
step(351 is 3 * 117, builtin, [], []).
step(352 is 351 + 1, builtin, [], []).
step(collatzTrajectory(935, [935, 2806, 1403, 4210, 2105, 6316, 3158, 1579, 4738, 2369, 7108, 3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 935,
      'M' = [935, 2806, 1403, 4210, 2105, 6316, 3158, 1579, 4738, 2369, 7108, 3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 65],
     [repeat(1000, 65),
      935 is 1000 - 65,
      collatz(935, [935, 2806, 1403, 4210, 2105, 6316, 3158, 1579, 4738, 2369, 7108, 3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 65),
     rule(3),
     ['N' = 1000, 'I' = 65, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 65)]).
step(between(0, 999, 65), builtin, [], []).
step(935 is 1000 - 65, builtin, [], []).
step(collatzTrajectory(934, [934, 467, 1402, 701, 2104, 1052, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 934,
      'M' = [934, 467, 1402, 701, 2104, 1052, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 66],
     [repeat(1000, 66),
      934 is 1000 - 66,
      collatz(934, [934, 467, 1402, 701, 2104, 1052, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 66),
     rule(3),
     ['N' = 1000, 'I' = 66, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 66)]).
step(between(0, 999, 66), builtin, [], []).
step(934 is 1000 - 66, builtin, [], []).
step(collatz(934, [934, 467, 1402, 701, 2104, 1052, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 934,
      'J' = [467, 1402, 701, 2104, 1052, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 467],
     [934 > 1,
      0 is 934 mod 2,
      467 is 934 // 2,
      collatz(467, [467, 1402, 701, 2104, 1052, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(934 > 1, builtin, [], []).
step(0 is 934 mod 2, builtin, [], []).
step(467 is 934 // 2, builtin, [], []).
step(collatz(467, [467, 1402, 701, 2104, 1052, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 467,
      'J' = [1402, 701, 2104, 1052, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 1401,
      'N1' = 1402],
     [467 > 1,
      1 is 467 mod 2,
      1401 is 3 * 467,
      1402 is 1401 + 1,
      collatz(1402, [1402, 701, 2104, 1052, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(467 > 1, builtin, [], []).
step(1 is 467 mod 2, builtin, [], []).
step(1401 is 3 * 467, builtin, [], []).
step(1402 is 1401 + 1, builtin, [], []).
step(collatz(1402, [1402, 701, 2104, 1052, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1402,
      'J' = [701, 2104, 1052, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 701],
     [1402 > 1,
      0 is 1402 mod 2,
      701 is 1402 // 2,
      collatz(701, [701, 2104, 1052, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1402 > 1, builtin, [], []).
step(0 is 1402 mod 2, builtin, [], []).
step(701 is 1402 // 2, builtin, [], []).
step(collatz(701, [701, 2104, 1052, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 701,
      'J' = [2104, 1052, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 2103,
      'N1' = 2104],
     [701 > 1,
      1 is 701 mod 2,
      2103 is 3 * 701,
      2104 is 2103 + 1,
      collatz(2104, [2104, 1052, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(701 > 1, builtin, [], []).
step(1 is 701 mod 2, builtin, [], []).
step(2103 is 3 * 701, builtin, [], []).
step(2104 is 2103 + 1, builtin, [], []).
step(collatz(2104, [2104, 1052, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 2104,
      'J' = [1052, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1052],
     [2104 > 1,
      0 is 2104 mod 2,
      1052 is 2104 // 2,
      collatz(1052, [1052, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2104 > 1, builtin, [], []).
step(0 is 2104 mod 2, builtin, [], []).
step(1052 is 2104 // 2, builtin, [], []).
step(collatz(1052, [1052, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1052,
      'J' = [526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 526],
     [1052 > 1,
      0 is 1052 mod 2,
      526 is 1052 // 2,
      collatz(526, [526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1052 > 1, builtin, [], []).
step(0 is 1052 mod 2, builtin, [], []).
step(526 is 1052 // 2, builtin, [], []).
step(collatzTrajectory(933, [933, 2800, 1400, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 933,
      'M' = [933, 2800, 1400, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 67],
     [repeat(1000, 67),
      933 is 1000 - 67,
      collatz(933, [933, 2800, 1400, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 67),
     rule(3),
     ['N' = 1000, 'I' = 67, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 67)]).
step(between(0, 999, 67), builtin, [], []).
step(933 is 1000 - 67, builtin, [], []).
step(collatz(933, [933, 2800, 1400, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 933,
      'J' = [2800, 1400, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 2799,
      'N1' = 2800],
     [933 > 1,
      1 is 933 mod 2,
      2799 is 3 * 933,
      2800 is 2799 + 1,
      collatz(2800, [2800, 1400, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(933 > 1, builtin, [], []).
step(1 is 933 mod 2, builtin, [], []).
step(2799 is 3 * 933, builtin, [], []).
step(2800 is 2799 + 1, builtin, [], []).
step(collatz(2800, [2800, 1400, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 2800,
      'J' = [1400, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1400],
     [2800 > 1,
      0 is 2800 mod 2,
      1400 is 2800 // 2,
      collatz(1400, [1400, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2800 > 1, builtin, [], []).
step(0 is 2800 mod 2, builtin, [], []).
step(1400 is 2800 // 2, builtin, [], []).
step(collatz(1400, [1400, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1400,
      'J' = [700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 700],
     [1400 > 1,
      0 is 1400 mod 2,
      700 is 1400 // 2,
      collatz(700, [700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1400 > 1, builtin, [], []).
step(0 is 1400 mod 2, builtin, [], []).
step(700 is 1400 // 2, builtin, [], []).
step(collatzTrajectory(932, [932, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 932,
      'M' = [932, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 68],
     [repeat(1000, 68),
      932 is 1000 - 68,
      collatz(932, [932, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 68),
     rule(3),
     ['N' = 1000, 'I' = 68, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 68)]).
step(between(0, 999, 68), builtin, [], []).
step(932 is 1000 - 68, builtin, [], []).
step(collatz(932, [932, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 932,
      'J' = [466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 466],
     [932 > 1,
      0 is 932 mod 2,
      466 is 932 // 2,
      collatz(466, [466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(932 > 1, builtin, [], []).
step(0 is 932 mod 2, builtin, [], []).
step(466 is 932 // 2, builtin, [], []).
step(collatzTrajectory(931, [931, 2794, 1397, 4192, 2096, 1048, 524, 262, 131, 394, 197, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 931,
      'M' = [931, 2794, 1397, 4192, 2096, 1048, 524, 262, 131, 394, 197, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 69],
     [repeat(1000, 69),
      931 is 1000 - 69,
      collatz(931, [931, 2794, 1397, 4192, 2096, 1048, 524, 262, 131, 394, 197, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 69),
     rule(3),
     ['N' = 1000, 'I' = 69, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 69)]).
step(between(0, 999, 69), builtin, [], []).
step(931 is 1000 - 69, builtin, [], []).
step(collatzTrajectory(930, [930, 465, 1396, 698, 349, 1048, 524, 262, 131, 394, 197, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 930,
      'M' = [930, 465, 1396, 698, 349, 1048, 524, 262, 131, 394, 197, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 70],
     [repeat(1000, 70),
      930 is 1000 - 70,
      collatz(930, [930, 465, 1396, 698, 349, 1048, 524, 262, 131, 394, 197, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 70),
     rule(3),
     ['N' = 1000, 'I' = 70, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 70)]).
step(between(0, 999, 70), builtin, [], []).
step(930 is 1000 - 70, builtin, [], []).
step(collatz(930, [930, 465, 1396, 698, 349, 1048, 524, 262, 131, 394, 197, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 930,
      'J' = [465, 1396, 698, 349, 1048, 524, 262, 131, 394, 197, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 465],
     [930 > 1,
      0 is 930 mod 2,
      465 is 930 // 2,
      collatz(465, [465, 1396, 698, 349, 1048, 524, 262, 131, 394, 197, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(930 > 1, builtin, [], []).
step(0 is 930 mod 2, builtin, [], []).
step(465 is 930 // 2, builtin, [], []).
step(collatz(465, [465, 1396, 698, 349, 1048, 524, 262, 131, 394, 197, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 465,
      'J' = [1396, 698, 349, 1048, 524, 262, 131, 394, 197, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 1395,
      'N1' = 1396],
     [465 > 1,
      1 is 465 mod 2,
      1395 is 3 * 465,
      1396 is 1395 + 1,
      collatz(1396, [1396, 698, 349, 1048, 524, 262, 131, 394, 197, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(465 > 1, builtin, [], []).
step(1 is 465 mod 2, builtin, [], []).
step(1395 is 3 * 465, builtin, [], []).
step(1396 is 1395 + 1, builtin, [], []).
step(collatz(1396, [1396, 698, 349, 1048, 524, 262, 131, 394, 197, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1396,
      'J' = [698, 349, 1048, 524, 262, 131, 394, 197, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 698],
     [1396 > 1,
      0 is 1396 mod 2,
      698 is 1396 // 2,
      collatz(698, [698, 349, 1048, 524, 262, 131, 394, 197, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1396 > 1, builtin, [], []).
step(0 is 1396 mod 2, builtin, [], []).
step(698 is 1396 // 2, builtin, [], []).
step(collatz(698, [698, 349, 1048, 524, 262, 131, 394, 197, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 698,
      'J' = [349, 1048, 524, 262, 131, 394, 197, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 349],
     [698 > 1,
      0 is 698 mod 2,
      349 is 698 // 2,
      collatz(349, [349, 1048, 524, 262, 131, 394, 197, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(698 > 1, builtin, [], []).
step(0 is 698 mod 2, builtin, [], []).
step(349 is 698 // 2, builtin, [], []).
step(collatz(349, [349, 1048, 524, 262, 131, 394, 197, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 349,
      'J' = [1048, 524, 262, 131, 394, 197, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 1047,
      'N1' = 1048],
     [349 > 1,
      1 is 349 mod 2,
      1047 is 3 * 349,
      1048 is 1047 + 1,
      collatz(1048, [1048, 524, 262, 131, 394, 197, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(349 > 1, builtin, [], []).
step(1 is 349 mod 2, builtin, [], []).
step(1047 is 3 * 349, builtin, [], []).
step(1048 is 1047 + 1, builtin, [], []).
step(collatzTrajectory(929, [929, 2788, 1394, 697, 2092, 1046, 523, 1570, 785, 2356, 1178, 589, 1768, 884, 442, 221, 664, 332, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 929,
      'M' = [929, 2788, 1394, 697, 2092, 1046, 523, 1570, 785, 2356, 1178, 589, 1768, 884, 442, 221, 664, 332, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 71],
     [repeat(1000, 71),
      929 is 1000 - 71,
      collatz(929, [929, 2788, 1394, 697, 2092, 1046, 523, 1570, 785, 2356, 1178, 589, 1768, 884, 442, 221, 664, 332, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 71),
     rule(3),
     ['N' = 1000, 'I' = 71, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 71)]).
step(between(0, 999, 71), builtin, [], []).
step(929 is 1000 - 71, builtin, [], []).
step(collatz(929, [929, 2788, 1394, 697, 2092, 1046, 523, 1570, 785, 2356, 1178, 589, 1768, 884, 442, 221, 664, 332, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 929,
      'J' = [2788, 1394, 697, 2092, 1046, 523, 1570, 785, 2356, 1178, 589, 1768, 884, 442, 221, 664, 332, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 2787,
      'N1' = 2788],
     [929 > 1,
      1 is 929 mod 2,
      2787 is 3 * 929,
      2788 is 2787 + 1,
      collatz(2788, [2788, 1394, 697, 2092, 1046, 523, 1570, 785, 2356, 1178, 589, 1768, 884, 442, 221, 664, 332, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(929 > 1, builtin, [], []).
step(1 is 929 mod 2, builtin, [], []).
step(2787 is 3 * 929, builtin, [], []).
step(2788 is 2787 + 1, builtin, [], []).
step(collatz(2788, [2788, 1394, 697, 2092, 1046, 523, 1570, 785, 2356, 1178, 589, 1768, 884, 442, 221, 664, 332, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 2788,
      'J' = [1394, 697, 2092, 1046, 523, 1570, 785, 2356, 1178, 589, 1768, 884, 442, 221, 664, 332, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1394],
     [2788 > 1,
      0 is 2788 mod 2,
      1394 is 2788 // 2,
      collatz(1394, [1394, 697, 2092, 1046, 523, 1570, 785, 2356, 1178, 589, 1768, 884, 442, 221, 664, 332, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2788 > 1, builtin, [], []).
step(0 is 2788 mod 2, builtin, [], []).
step(1394 is 2788 // 2, builtin, [], []).
step(collatz(1394, [1394, 697, 2092, 1046, 523, 1570, 785, 2356, 1178, 589, 1768, 884, 442, 221, 664, 332, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1394,
      'J' = [697, 2092, 1046, 523, 1570, 785, 2356, 1178, 589, 1768, 884, 442, 221, 664, 332, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 697],
     [1394 > 1,
      0 is 1394 mod 2,
      697 is 1394 // 2,
      collatz(697, [697, 2092, 1046, 523, 1570, 785, 2356, 1178, 589, 1768, 884, 442, 221, 664, 332, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1394 > 1, builtin, [], []).
step(0 is 1394 mod 2, builtin, [], []).
step(697 is 1394 // 2, builtin, [], []).
step(collatz(697, [697, 2092, 1046, 523, 1570, 785, 2356, 1178, 589, 1768, 884, 442, 221, 664, 332, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 697,
      'J' = [2092, 1046, 523, 1570, 785, 2356, 1178, 589, 1768, 884, 442, 221, 664, 332, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 2091,
      'N1' = 2092],
     [697 > 1,
      1 is 697 mod 2,
      2091 is 3 * 697,
      2092 is 2091 + 1,
      collatz(2092, [2092, 1046, 523, 1570, 785, 2356, 1178, 589, 1768, 884, 442, 221, 664, 332, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(697 > 1, builtin, [], []).
step(1 is 697 mod 2, builtin, [], []).
step(2091 is 3 * 697, builtin, [], []).
step(2092 is 2091 + 1, builtin, [], []).
step(collatz(2092, [2092, 1046, 523, 1570, 785, 2356, 1178, 589, 1768, 884, 442, 221, 664, 332, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 2092,
      'J' = [1046, 523, 1570, 785, 2356, 1178, 589, 1768, 884, 442, 221, 664, 332, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1046],
     [2092 > 1,
      0 is 2092 mod 2,
      1046 is 2092 // 2,
      collatz(1046, [1046, 523, 1570, 785, 2356, 1178, 589, 1768, 884, 442, 221, 664, 332, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2092 > 1, builtin, [], []).
step(0 is 2092 mod 2, builtin, [], []).
step(1046 is 2092 // 2, builtin, [], []).
step(collatz(1046, [1046, 523, 1570, 785, 2356, 1178, 589, 1768, 884, 442, 221, 664, 332, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1046,
      'J' = [523, 1570, 785, 2356, 1178, 589, 1768, 884, 442, 221, 664, 332, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 523],
     [1046 > 1,
      0 is 1046 mod 2,
      523 is 1046 // 2,
      collatz(523, [523, 1570, 785, 2356, 1178, 589, 1768, 884, 442, 221, 664, 332, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1046 > 1, builtin, [], []).
step(0 is 1046 mod 2, builtin, [], []).
step(523 is 1046 // 2, builtin, [], []).
step(collatz(523, [523, 1570, 785, 2356, 1178, 589, 1768, 884, 442, 221, 664, 332, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 523,
      'J' = [1570, 785, 2356, 1178, 589, 1768, 884, 442, 221, 664, 332, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 1569,
      'N1' = 1570],
     [523 > 1,
      1 is 523 mod 2,
      1569 is 3 * 523,
      1570 is 1569 + 1,
      collatz(1570, [1570, 785, 2356, 1178, 589, 1768, 884, 442, 221, 664, 332, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(523 > 1, builtin, [], []).
step(1 is 523 mod 2, builtin, [], []).
step(1569 is 3 * 523, builtin, [], []).
step(1570 is 1569 + 1, builtin, [], []).
step(collatz(1570, [1570, 785, 2356, 1178, 589, 1768, 884, 442, 221, 664, 332, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1570,
      'J' = [785, 2356, 1178, 589, 1768, 884, 442, 221, 664, 332, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 785],
     [1570 > 1,
      0 is 1570 mod 2,
      785 is 1570 // 2,
      collatz(785, [785, 2356, 1178, 589, 1768, 884, 442, 221, 664, 332, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1570 > 1, builtin, [], []).
step(0 is 1570 mod 2, builtin, [], []).
step(785 is 1570 // 2, builtin, [], []).
step(collatz(785, [785, 2356, 1178, 589, 1768, 884, 442, 221, 664, 332, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 785,
      'J' = [2356, 1178, 589, 1768, 884, 442, 221, 664, 332, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 2355,
      'N1' = 2356],
     [785 > 1,
      1 is 785 mod 2,
      2355 is 3 * 785,
      2356 is 2355 + 1,
      collatz(2356, [2356, 1178, 589, 1768, 884, 442, 221, 664, 332, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(785 > 1, builtin, [], []).
step(1 is 785 mod 2, builtin, [], []).
step(2355 is 3 * 785, builtin, [], []).
step(2356 is 2355 + 1, builtin, [], []).
step(collatz(2356, [2356, 1178, 589, 1768, 884, 442, 221, 664, 332, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 2356,
      'J' = [1178, 589, 1768, 884, 442, 221, 664, 332, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1178],
     [2356 > 1,
      0 is 2356 mod 2,
      1178 is 2356 // 2,
      collatz(1178, [1178, 589, 1768, 884, 442, 221, 664, 332, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2356 > 1, builtin, [], []).
step(0 is 2356 mod 2, builtin, [], []).
step(1178 is 2356 // 2, builtin, [], []).
step(collatz(1178, [1178, 589, 1768, 884, 442, 221, 664, 332, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1178,
      'J' = [589, 1768, 884, 442, 221, 664, 332, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 589],
     [1178 > 1,
      0 is 1178 mod 2,
      589 is 1178 // 2,
      collatz(589, [589, 1768, 884, 442, 221, 664, 332, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1178 > 1, builtin, [], []).
step(0 is 1178 mod 2, builtin, [], []).
step(589 is 1178 // 2, builtin, [], []).
step(collatz(589, [589, 1768, 884, 442, 221, 664, 332, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 589,
      'J' = [1768, 884, 442, 221, 664, 332, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 1767,
      'N1' = 1768],
     [589 > 1,
      1 is 589 mod 2,
      1767 is 3 * 589,
      1768 is 1767 + 1,
      collatz(1768, [1768, 884, 442, 221, 664, 332, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(589 > 1, builtin, [], []).
step(1 is 589 mod 2, builtin, [], []).
step(1767 is 3 * 589, builtin, [], []).
step(1768 is 1767 + 1, builtin, [], []).
step(collatz(1768, [1768, 884, 442, 221, 664, 332, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1768,
      'J' = [884, 442, 221, 664, 332, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 884],
     [1768 > 1,
      0 is 1768 mod 2,
      884 is 1768 // 2,
      collatz(884, [884, 442, 221, 664, 332, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1768 > 1, builtin, [], []).
step(0 is 1768 mod 2, builtin, [], []).
step(884 is 1768 // 2, builtin, [], []).
step(collatz(884, [884, 442, 221, 664, 332, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 884,
      'J' = [442, 221, 664, 332, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 442],
     [884 > 1,
      0 is 884 mod 2,
      442 is 884 // 2,
      collatz(442, [442, 221, 664, 332, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(884 > 1, builtin, [], []).
step(0 is 884 mod 2, builtin, [], []).
step(442 is 884 // 2, builtin, [], []).
step(collatz(442, [442, 221, 664, 332, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 442,
      'J' = [221, 664, 332, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 221],
     [442 > 1,
      0 is 442 mod 2,
      221 is 442 // 2,
      collatz(221, [221, 664, 332, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(442 > 1, builtin, [], []).
step(0 is 442 mod 2, builtin, [], []).
step(221 is 442 // 2, builtin, [], []).
step(collatz(221, [221, 664, 332, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 221,
      'J' = [664, 332, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 663,
      'N1' = 664],
     [221 > 1,
      1 is 221 mod 2,
      663 is 3 * 221,
      664 is 663 + 1,
      collatz(664, [664, 332, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(221 > 1, builtin, [], []).
step(1 is 221 mod 2, builtin, [], []).
step(663 is 3 * 221, builtin, [], []).
step(664 is 663 + 1, builtin, [], []).
step(collatz(664, [664, 332, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 664,
      'J' = [332, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 332],
     [664 > 1,
      0 is 664 mod 2,
      332 is 664 // 2,
      collatz(332, [332, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(664 > 1, builtin, [], []).
step(0 is 664 mod 2, builtin, [], []).
step(332 is 664 // 2, builtin, [], []).
step(collatz(332, [332, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 332,
      'J' = [166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 166],
     [332 > 1,
      0 is 332 mod 2,
      166 is 332 // 2,
      collatz(166, [166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(332 > 1, builtin, [], []).
step(0 is 332 mod 2, builtin, [], []).
step(166 is 332 // 2, builtin, [], []).
step(collatzTrajectory(928, [928, 464, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 928,
      'M' = [928, 464, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 72],
     [repeat(1000, 72),
      928 is 1000 - 72,
      collatz(928, [928, 464, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 72),
     rule(3),
     ['N' = 1000, 'I' = 72, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 72)]).
step(between(0, 999, 72), builtin, [], []).
step(928 is 1000 - 72, builtin, [], []).
step(collatz(928, [928, 464, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 928,
      'J' = [464, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 464],
     [928 > 1,
      0 is 928 mod 2,
      464 is 928 // 2,
      collatz(464, [464, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(928 > 1, builtin, [], []).
step(0 is 928 mod 2, builtin, [], []).
step(464 is 928 // 2, builtin, [], []).
step(collatz(464, [464, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 464,
      'J' = [232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 232],
     [464 > 1,
      0 is 464 mod 2,
      232 is 464 // 2,
      collatz(232, [232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(464 > 1, builtin, [], []).
step(0 is 464 mod 2, builtin, [], []).
step(232 is 464 // 2, builtin, [], []).
step(collatzTrajectory(927, [927, 2782, 1391, 4174, 2087, 6262, 3131, 9394, 4697, 14092, 7046, 3523, 10570, 5285, 15856, 7928, 3964, 1982, 991, 2974, 1487, 4462, 2231, 6694, 3347, 10042, 5021, 15064, 7532, 3766, 1883, 5650, 2825, 8476, 4238, 2119, 6358, 3179, 9538, 4769, 14308, 7154, 3577, 10732, 5366, 2683, 8050, 4025, 12076, 6038, 3019, 9058, 4529, 13588, 6794, 3397, 10192, 5096, 2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 927,
      'M' = [927, 2782, 1391, 4174, 2087, 6262, 3131, 9394, 4697, 14092, 7046, 3523, 10570, 5285, 15856, 7928, 3964, 1982, 991, 2974, 1487, 4462, 2231, 6694, 3347, 10042, 5021, 15064, 7532, 3766, 1883, 5650, 2825, 8476, 4238, 2119, 6358, 3179, 9538, 4769, 14308, 7154, 3577, 10732, 5366, 2683, 8050, 4025, 12076, 6038, 3019, 9058, 4529, 13588, 6794, 3397, 10192, 5096, 2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 73],
     [repeat(1000, 73),
      927 is 1000 - 73,
      collatz(927, [927, 2782, 1391, 4174, 2087, 6262, 3131, 9394, 4697, 14092, 7046, 3523, 10570, 5285, 15856, 7928, 3964, 1982, 991, 2974, 1487, 4462, 2231, 6694, 3347, 10042, 5021, 15064, 7532, 3766, 1883, 5650, 2825, 8476, 4238, 2119, 6358, 3179, 9538, 4769, 14308, 7154, 3577, 10732, 5366, 2683, 8050, 4025, 12076, 6038, 3019, 9058, 4529, 13588, 6794, 3397, 10192, 5096, 2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 73),
     rule(3),
     ['N' = 1000, 'I' = 73, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 73)]).
step(between(0, 999, 73), builtin, [], []).
step(927 is 1000 - 73, builtin, [], []).
step(collatz(927, [927, 2782, 1391, 4174, 2087, 6262, 3131, 9394, 4697, 14092, 7046, 3523, 10570, 5285, 15856, 7928, 3964, 1982, 991, 2974, 1487, 4462, 2231, 6694, 3347, 10042, 5021, 15064, 7532, 3766, 1883, 5650, 2825, 8476, 4238, 2119, 6358, 3179, 9538, 4769, 14308, 7154, 3577, 10732, 5366, 2683, 8050, 4025, 12076, 6038, 3019, 9058, 4529, 13588, 6794, 3397, 10192, 5096, 2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 927,
      'J' = [2782, 1391, 4174, 2087, 6262, 3131, 9394, 4697, 14092, 7046, 3523, 10570, 5285, 15856, 7928, 3964, 1982, 991, 2974, 1487, 4462, 2231, 6694, 3347, 10042, 5021, 15064, 7532, 3766, 1883, 5650, 2825, 8476, 4238, 2119, 6358, 3179, 9538, 4769, 14308, 7154, 3577, 10732, 5366, 2683, 8050, 4025, 12076, 6038, 3019, 9058, 4529, 13588, 6794, 3397, 10192, 5096, 2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 2781,
      'N1' = 2782],
     [927 > 1,
      1 is 927 mod 2,
      2781 is 3 * 927,
      2782 is 2781 + 1,
      collatz(2782, [2782, 1391, 4174, 2087, 6262, 3131, 9394, 4697, 14092, 7046, 3523, 10570, 5285, 15856, 7928, 3964, 1982, 991, 2974, 1487, 4462, 2231, 6694, 3347, 10042, 5021, 15064, 7532, 3766, 1883, 5650, 2825, 8476, 4238, 2119, 6358, 3179, 9538, 4769, 14308, 7154, 3577, 10732, 5366, 2683, 8050, 4025, 12076, 6038, 3019, 9058, 4529, 13588, 6794, 3397, 10192, 5096, 2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(927 > 1, builtin, [], []).
step(1 is 927 mod 2, builtin, [], []).
step(2781 is 3 * 927, builtin, [], []).
step(2782 is 2781 + 1, builtin, [], []).
step(collatz(2782, [2782, 1391, 4174, 2087, 6262, 3131, 9394, 4697, 14092, 7046, 3523, 10570, 5285, 15856, 7928, 3964, 1982, 991, 2974, 1487, 4462, 2231, 6694, 3347, 10042, 5021, 15064, 7532, 3766, 1883, 5650, 2825, 8476, 4238, 2119, 6358, 3179, 9538, 4769, 14308, 7154, 3577, 10732, 5366, 2683, 8050, 4025, 12076, 6038, 3019, 9058, 4529, 13588, 6794, 3397, 10192, 5096, 2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 2782,
      'J' = [1391, 4174, 2087, 6262, 3131, 9394, 4697, 14092, 7046, 3523, 10570, 5285, 15856, 7928, 3964, 1982, 991, 2974, 1487, 4462, 2231, 6694, 3347, 10042, 5021, 15064, 7532, 3766, 1883, 5650, 2825, 8476, 4238, 2119, 6358, 3179, 9538, 4769, 14308, 7154, 3577, 10732, 5366, 2683, 8050, 4025, 12076, 6038, 3019, 9058, 4529, 13588, 6794, 3397, 10192, 5096, 2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1391],
     [2782 > 1,
      0 is 2782 mod 2,
      1391 is 2782 // 2,
      collatz(1391, [1391, 4174, 2087, 6262, 3131, 9394, 4697, 14092, 7046, 3523, 10570, 5285, 15856, 7928, 3964, 1982, 991, 2974, 1487, 4462, 2231, 6694, 3347, 10042, 5021, 15064, 7532, 3766, 1883, 5650, 2825, 8476, 4238, 2119, 6358, 3179, 9538, 4769, 14308, 7154, 3577, 10732, 5366, 2683, 8050, 4025, 12076, 6038, 3019, 9058, 4529, 13588, 6794, 3397, 10192, 5096, 2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2782 > 1, builtin, [], []).
step(0 is 2782 mod 2, builtin, [], []).
step(1391 is 2782 // 2, builtin, [], []).
step(collatz(1391, [1391, 4174, 2087, 6262, 3131, 9394, 4697, 14092, 7046, 3523, 10570, 5285, 15856, 7928, 3964, 1982, 991, 2974, 1487, 4462, 2231, 6694, 3347, 10042, 5021, 15064, 7532, 3766, 1883, 5650, 2825, 8476, 4238, 2119, 6358, 3179, 9538, 4769, 14308, 7154, 3577, 10732, 5366, 2683, 8050, 4025, 12076, 6038, 3019, 9058, 4529, 13588, 6794, 3397, 10192, 5096, 2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 1391,
      'J' = [4174, 2087, 6262, 3131, 9394, 4697, 14092, 7046, 3523, 10570, 5285, 15856, 7928, 3964, 1982, 991, 2974, 1487, 4462, 2231, 6694, 3347, 10042, 5021, 15064, 7532, 3766, 1883, 5650, 2825, 8476, 4238, 2119, 6358, 3179, 9538, 4769, 14308, 7154, 3577, 10732, 5366, 2683, 8050, 4025, 12076, 6038, 3019, 9058, 4529, 13588, 6794, 3397, 10192, 5096, 2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 4173,
      'N1' = 4174],
     [1391 > 1,
      1 is 1391 mod 2,
      4173 is 3 * 1391,
      4174 is 4173 + 1,
      collatz(4174, [4174, 2087, 6262, 3131, 9394, 4697, 14092, 7046, 3523, 10570, 5285, 15856, 7928, 3964, 1982, 991, 2974, 1487, 4462, 2231, 6694, 3347, 10042, 5021, 15064, 7532, 3766, 1883, 5650, 2825, 8476, 4238, 2119, 6358, 3179, 9538, 4769, 14308, 7154, 3577, 10732, 5366, 2683, 8050, 4025, 12076, 6038, 3019, 9058, 4529, 13588, 6794, 3397, 10192, 5096, 2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1391 > 1, builtin, [], []).
step(1 is 1391 mod 2, builtin, [], []).
step(4173 is 3 * 1391, builtin, [], []).
step(4174 is 4173 + 1, builtin, [], []).
step(collatz(4174, [4174, 2087, 6262, 3131, 9394, 4697, 14092, 7046, 3523, 10570, 5285, 15856, 7928, 3964, 1982, 991, 2974, 1487, 4462, 2231, 6694, 3347, 10042, 5021, 15064, 7532, 3766, 1883, 5650, 2825, 8476, 4238, 2119, 6358, 3179, 9538, 4769, 14308, 7154, 3577, 10732, 5366, 2683, 8050, 4025, 12076, 6038, 3019, 9058, 4529, 13588, 6794, 3397, 10192, 5096, 2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 4174,
      'J' = [2087, 6262, 3131, 9394, 4697, 14092, 7046, 3523, 10570, 5285, 15856, 7928, 3964, 1982, 991, 2974, 1487, 4462, 2231, 6694, 3347, 10042, 5021, 15064, 7532, 3766, 1883, 5650, 2825, 8476, 4238, 2119, 6358, 3179, 9538, 4769, 14308, 7154, 3577, 10732, 5366, 2683, 8050, 4025, 12076, 6038, 3019, 9058, 4529, 13588, 6794, 3397, 10192, 5096, 2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 2087],
     [4174 > 1,
      0 is 4174 mod 2,
      2087 is 4174 // 2,
      collatz(2087, [2087, 6262, 3131, 9394, 4697, 14092, 7046, 3523, 10570, 5285, 15856, 7928, 3964, 1982, 991, 2974, 1487, 4462, 2231, 6694, 3347, 10042, 5021, 15064, 7532, 3766, 1883, 5650, 2825, 8476, 4238, 2119, 6358, 3179, 9538, 4769, 14308, 7154, 3577, 10732, 5366, 2683, 8050, 4025, 12076, 6038, 3019, 9058, 4529, 13588, 6794, 3397, 10192, 5096, 2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(4174 > 1, builtin, [], []).
step(0 is 4174 mod 2, builtin, [], []).
step(2087 is 4174 // 2, builtin, [], []).
step(collatz(2087, [2087, 6262, 3131, 9394, 4697, 14092, 7046, 3523, 10570, 5285, 15856, 7928, 3964, 1982, 991, 2974, 1487, 4462, 2231, 6694, 3347, 10042, 5021, 15064, 7532, 3766, 1883, 5650, 2825, 8476, 4238, 2119, 6358, 3179, 9538, 4769, 14308, 7154, 3577, 10732, 5366, 2683, 8050, 4025, 12076, 6038, 3019, 9058, 4529, 13588, 6794, 3397, 10192, 5096, 2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 2087,
      'J' = [6262, 3131, 9394, 4697, 14092, 7046, 3523, 10570, 5285, 15856, 7928, 3964, 1982, 991, 2974, 1487, 4462, 2231, 6694, 3347, 10042, 5021, 15064, 7532, 3766, 1883, 5650, 2825, 8476, 4238, 2119, 6358, 3179, 9538, 4769, 14308, 7154, 3577, 10732, 5366, 2683, 8050, 4025, 12076, 6038, 3019, 9058, 4529, 13588, 6794, 3397, 10192, 5096, 2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 6261,
      'N1' = 6262],
     [2087 > 1,
      1 is 2087 mod 2,
      6261 is 3 * 2087,
      6262 is 6261 + 1,
      collatz(6262, [6262, 3131, 9394, 4697, 14092, 7046, 3523, 10570, 5285, 15856, 7928, 3964, 1982, 991, 2974, 1487, 4462, 2231, 6694, 3347, 10042, 5021, 15064, 7532, 3766, 1883, 5650, 2825, 8476, 4238, 2119, 6358, 3179, 9538, 4769, 14308, 7154, 3577, 10732, 5366, 2683, 8050, 4025, 12076, 6038, 3019, 9058, 4529, 13588, 6794, 3397, 10192, 5096, 2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2087 > 1, builtin, [], []).
step(1 is 2087 mod 2, builtin, [], []).
step(6261 is 3 * 2087, builtin, [], []).
step(6262 is 6261 + 1, builtin, [], []).
step(collatz(6262, [6262, 3131, 9394, 4697, 14092, 7046, 3523, 10570, 5285, 15856, 7928, 3964, 1982, 991, 2974, 1487, 4462, 2231, 6694, 3347, 10042, 5021, 15064, 7532, 3766, 1883, 5650, 2825, 8476, 4238, 2119, 6358, 3179, 9538, 4769, 14308, 7154, 3577, 10732, 5366, 2683, 8050, 4025, 12076, 6038, 3019, 9058, 4529, 13588, 6794, 3397, 10192, 5096, 2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 6262,
      'J' = [3131, 9394, 4697, 14092, 7046, 3523, 10570, 5285, 15856, 7928, 3964, 1982, 991, 2974, 1487, 4462, 2231, 6694, 3347, 10042, 5021, 15064, 7532, 3766, 1883, 5650, 2825, 8476, 4238, 2119, 6358, 3179, 9538, 4769, 14308, 7154, 3577, 10732, 5366, 2683, 8050, 4025, 12076, 6038, 3019, 9058, 4529, 13588, 6794, 3397, 10192, 5096, 2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 3131],
     [6262 > 1,
      0 is 6262 mod 2,
      3131 is 6262 // 2,
      collatz(3131, [3131, 9394, 4697, 14092, 7046, 3523, 10570, 5285, 15856, 7928, 3964, 1982, 991, 2974, 1487, 4462, 2231, 6694, 3347, 10042, 5021, 15064, 7532, 3766, 1883, 5650, 2825, 8476, 4238, 2119, 6358, 3179, 9538, 4769, 14308, 7154, 3577, 10732, 5366, 2683, 8050, 4025, 12076, 6038, 3019, 9058, 4529, 13588, 6794, 3397, 10192, 5096, 2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(6262 > 1, builtin, [], []).
step(0 is 6262 mod 2, builtin, [], []).
step(3131 is 6262 // 2, builtin, [], []).
step(collatz(3131, [3131, 9394, 4697, 14092, 7046, 3523, 10570, 5285, 15856, 7928, 3964, 1982, 991, 2974, 1487, 4462, 2231, 6694, 3347, 10042, 5021, 15064, 7532, 3766, 1883, 5650, 2825, 8476, 4238, 2119, 6358, 3179, 9538, 4769, 14308, 7154, 3577, 10732, 5366, 2683, 8050, 4025, 12076, 6038, 3019, 9058, 4529, 13588, 6794, 3397, 10192, 5096, 2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 3131,
      'J' = [9394, 4697, 14092, 7046, 3523, 10570, 5285, 15856, 7928, 3964, 1982, 991, 2974, 1487, 4462, 2231, 6694, 3347, 10042, 5021, 15064, 7532, 3766, 1883, 5650, 2825, 8476, 4238, 2119, 6358, 3179, 9538, 4769, 14308, 7154, 3577, 10732, 5366, 2683, 8050, 4025, 12076, 6038, 3019, 9058, 4529, 13588, 6794, 3397, 10192, 5096, 2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 9393,
      'N1' = 9394],
     [3131 > 1,
      1 is 3131 mod 2,
      9393 is 3 * 3131,
      9394 is 9393 + 1,
      collatz(9394, [9394, 4697, 14092, 7046, 3523, 10570, 5285, 15856, 7928, 3964, 1982, 991, 2974, 1487, 4462, 2231, 6694, 3347, 10042, 5021, 15064, 7532, 3766, 1883, 5650, 2825, 8476, 4238, 2119, 6358, 3179, 9538, 4769, 14308, 7154, 3577, 10732, 5366, 2683, 8050, 4025, 12076, 6038, 3019, 9058, 4529, 13588, 6794, 3397, 10192, 5096, 2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(3131 > 1, builtin, [], []).
step(1 is 3131 mod 2, builtin, [], []).
step(9393 is 3 * 3131, builtin, [], []).
step(9394 is 9393 + 1, builtin, [], []).
step(collatz(9394, [9394, 4697, 14092, 7046, 3523, 10570, 5285, 15856, 7928, 3964, 1982, 991, 2974, 1487, 4462, 2231, 6694, 3347, 10042, 5021, 15064, 7532, 3766, 1883, 5650, 2825, 8476, 4238, 2119, 6358, 3179, 9538, 4769, 14308, 7154, 3577, 10732, 5366, 2683, 8050, 4025, 12076, 6038, 3019, 9058, 4529, 13588, 6794, 3397, 10192, 5096, 2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 9394,
      'J' = [4697, 14092, 7046, 3523, 10570, 5285, 15856, 7928, 3964, 1982, 991, 2974, 1487, 4462, 2231, 6694, 3347, 10042, 5021, 15064, 7532, 3766, 1883, 5650, 2825, 8476, 4238, 2119, 6358, 3179, 9538, 4769, 14308, 7154, 3577, 10732, 5366, 2683, 8050, 4025, 12076, 6038, 3019, 9058, 4529, 13588, 6794, 3397, 10192, 5096, 2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 4697],
     [9394 > 1,
      0 is 9394 mod 2,
      4697 is 9394 // 2,
      collatz(4697, [4697, 14092, 7046, 3523, 10570, 5285, 15856, 7928, 3964, 1982, 991, 2974, 1487, 4462, 2231, 6694, 3347, 10042, 5021, 15064, 7532, 3766, 1883, 5650, 2825, 8476, 4238, 2119, 6358, 3179, 9538, 4769, 14308, 7154, 3577, 10732, 5366, 2683, 8050, 4025, 12076, 6038, 3019, 9058, 4529, 13588, 6794, 3397, 10192, 5096, 2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(9394 > 1, builtin, [], []).
step(0 is 9394 mod 2, builtin, [], []).
step(4697 is 9394 // 2, builtin, [], []).
step(collatz(4697, [4697, 14092, 7046, 3523, 10570, 5285, 15856, 7928, 3964, 1982, 991, 2974, 1487, 4462, 2231, 6694, 3347, 10042, 5021, 15064, 7532, 3766, 1883, 5650, 2825, 8476, 4238, 2119, 6358, 3179, 9538, 4769, 14308, 7154, 3577, 10732, 5366, 2683, 8050, 4025, 12076, 6038, 3019, 9058, 4529, 13588, 6794, 3397, 10192, 5096, 2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 4697,
      'J' = [14092, 7046, 3523, 10570, 5285, 15856, 7928, 3964, 1982, 991, 2974, 1487, 4462, 2231, 6694, 3347, 10042, 5021, 15064, 7532, 3766, 1883, 5650, 2825, 8476, 4238, 2119, 6358, 3179, 9538, 4769, 14308, 7154, 3577, 10732, 5366, 2683, 8050, 4025, 12076, 6038, 3019, 9058, 4529, 13588, 6794, 3397, 10192, 5096, 2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 14091,
      'N1' = 14092],
     [4697 > 1,
      1 is 4697 mod 2,
      14091 is 3 * 4697,
      14092 is 14091 + 1,
      collatz(14092, [14092, 7046, 3523, 10570, 5285, 15856, 7928, 3964, 1982, 991, 2974, 1487, 4462, 2231, 6694, 3347, 10042, 5021, 15064, 7532, 3766, 1883, 5650, 2825, 8476, 4238, 2119, 6358, 3179, 9538, 4769, 14308, 7154, 3577, 10732, 5366, 2683, 8050, 4025, 12076, 6038, 3019, 9058, 4529, 13588, 6794, 3397, 10192, 5096, 2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(4697 > 1, builtin, [], []).
step(1 is 4697 mod 2, builtin, [], []).
step(14091 is 3 * 4697, builtin, [], []).
step(14092 is 14091 + 1, builtin, [], []).
step(collatz(14092, [14092, 7046, 3523, 10570, 5285, 15856, 7928, 3964, 1982, 991, 2974, 1487, 4462, 2231, 6694, 3347, 10042, 5021, 15064, 7532, 3766, 1883, 5650, 2825, 8476, 4238, 2119, 6358, 3179, 9538, 4769, 14308, 7154, 3577, 10732, 5366, 2683, 8050, 4025, 12076, 6038, 3019, 9058, 4529, 13588, 6794, 3397, 10192, 5096, 2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 14092,
      'J' = [7046, 3523, 10570, 5285, 15856, 7928, 3964, 1982, 991, 2974, 1487, 4462, 2231, 6694, 3347, 10042, 5021, 15064, 7532, 3766, 1883, 5650, 2825, 8476, 4238, 2119, 6358, 3179, 9538, 4769, 14308, 7154, 3577, 10732, 5366, 2683, 8050, 4025, 12076, 6038, 3019, 9058, 4529, 13588, 6794, 3397, 10192, 5096, 2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 7046],
     [14092 > 1,
      0 is 14092 mod 2,
      7046 is 14092 // 2,
      collatz(7046, [7046, 3523, 10570, 5285, 15856, 7928, 3964, 1982, 991, 2974, 1487, 4462, 2231, 6694, 3347, 10042, 5021, 15064, 7532, 3766, 1883, 5650, 2825, 8476, 4238, 2119, 6358, 3179, 9538, 4769, 14308, 7154, 3577, 10732, 5366, 2683, 8050, 4025, 12076, 6038, 3019, 9058, 4529, 13588, 6794, 3397, 10192, 5096, 2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(14092 > 1, builtin, [], []).
step(0 is 14092 mod 2, builtin, [], []).
step(7046 is 14092 // 2, builtin, [], []).
step(collatz(7046, [7046, 3523, 10570, 5285, 15856, 7928, 3964, 1982, 991, 2974, 1487, 4462, 2231, 6694, 3347, 10042, 5021, 15064, 7532, 3766, 1883, 5650, 2825, 8476, 4238, 2119, 6358, 3179, 9538, 4769, 14308, 7154, 3577, 10732, 5366, 2683, 8050, 4025, 12076, 6038, 3019, 9058, 4529, 13588, 6794, 3397, 10192, 5096, 2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 7046,
      'J' = [3523, 10570, 5285, 15856, 7928, 3964, 1982, 991, 2974, 1487, 4462, 2231, 6694, 3347, 10042, 5021, 15064, 7532, 3766, 1883, 5650, 2825, 8476, 4238, 2119, 6358, 3179, 9538, 4769, 14308, 7154, 3577, 10732, 5366, 2683, 8050, 4025, 12076, 6038, 3019, 9058, 4529, 13588, 6794, 3397, 10192, 5096, 2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 3523],
     [7046 > 1,
      0 is 7046 mod 2,
      3523 is 7046 // 2,
      collatz(3523, [3523, 10570, 5285, 15856, 7928, 3964, 1982, 991, 2974, 1487, 4462, 2231, 6694, 3347, 10042, 5021, 15064, 7532, 3766, 1883, 5650, 2825, 8476, 4238, 2119, 6358, 3179, 9538, 4769, 14308, 7154, 3577, 10732, 5366, 2683, 8050, 4025, 12076, 6038, 3019, 9058, 4529, 13588, 6794, 3397, 10192, 5096, 2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(7046 > 1, builtin, [], []).
step(0 is 7046 mod 2, builtin, [], []).
step(3523 is 7046 // 2, builtin, [], []).
step(collatz(3523, [3523, 10570, 5285, 15856, 7928, 3964, 1982, 991, 2974, 1487, 4462, 2231, 6694, 3347, 10042, 5021, 15064, 7532, 3766, 1883, 5650, 2825, 8476, 4238, 2119, 6358, 3179, 9538, 4769, 14308, 7154, 3577, 10732, 5366, 2683, 8050, 4025, 12076, 6038, 3019, 9058, 4529, 13588, 6794, 3397, 10192, 5096, 2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 3523,
      'J' = [10570, 5285, 15856, 7928, 3964, 1982, 991, 2974, 1487, 4462, 2231, 6694, 3347, 10042, 5021, 15064, 7532, 3766, 1883, 5650, 2825, 8476, 4238, 2119, 6358, 3179, 9538, 4769, 14308, 7154, 3577, 10732, 5366, 2683, 8050, 4025, 12076, 6038, 3019, 9058, 4529, 13588, 6794, 3397, 10192, 5096, 2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 10569,
      'N1' = 10570],
     [3523 > 1,
      1 is 3523 mod 2,
      10569 is 3 * 3523,
      10570 is 10569 + 1,
      collatz(10570, [10570, 5285, 15856, 7928, 3964, 1982, 991, 2974, 1487, 4462, 2231, 6694, 3347, 10042, 5021, 15064, 7532, 3766, 1883, 5650, 2825, 8476, 4238, 2119, 6358, 3179, 9538, 4769, 14308, 7154, 3577, 10732, 5366, 2683, 8050, 4025, 12076, 6038, 3019, 9058, 4529, 13588, 6794, 3397, 10192, 5096, 2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(3523 > 1, builtin, [], []).
step(1 is 3523 mod 2, builtin, [], []).
step(10569 is 3 * 3523, builtin, [], []).
step(10570 is 10569 + 1, builtin, [], []).
step(collatz(10570, [10570, 5285, 15856, 7928, 3964, 1982, 991, 2974, 1487, 4462, 2231, 6694, 3347, 10042, 5021, 15064, 7532, 3766, 1883, 5650, 2825, 8476, 4238, 2119, 6358, 3179, 9538, 4769, 14308, 7154, 3577, 10732, 5366, 2683, 8050, 4025, 12076, 6038, 3019, 9058, 4529, 13588, 6794, 3397, 10192, 5096, 2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 10570,
      'J' = [5285, 15856, 7928, 3964, 1982, 991, 2974, 1487, 4462, 2231, 6694, 3347, 10042, 5021, 15064, 7532, 3766, 1883, 5650, 2825, 8476, 4238, 2119, 6358, 3179, 9538, 4769, 14308, 7154, 3577, 10732, 5366, 2683, 8050, 4025, 12076, 6038, 3019, 9058, 4529, 13588, 6794, 3397, 10192, 5096, 2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 5285],
     [10570 > 1,
      0 is 10570 mod 2,
      5285 is 10570 // 2,
      collatz(5285, [5285, 15856, 7928, 3964, 1982, 991, 2974, 1487, 4462, 2231, 6694, 3347, 10042, 5021, 15064, 7532, 3766, 1883, 5650, 2825, 8476, 4238, 2119, 6358, 3179, 9538, 4769, 14308, 7154, 3577, 10732, 5366, 2683, 8050, 4025, 12076, 6038, 3019, 9058, 4529, 13588, 6794, 3397, 10192, 5096, 2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(10570 > 1, builtin, [], []).
step(0 is 10570 mod 2, builtin, [], []).
step(5285 is 10570 // 2, builtin, [], []).
step(collatz(5285, [5285, 15856, 7928, 3964, 1982, 991, 2974, 1487, 4462, 2231, 6694, 3347, 10042, 5021, 15064, 7532, 3766, 1883, 5650, 2825, 8476, 4238, 2119, 6358, 3179, 9538, 4769, 14308, 7154, 3577, 10732, 5366, 2683, 8050, 4025, 12076, 6038, 3019, 9058, 4529, 13588, 6794, 3397, 10192, 5096, 2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 5285,
      'J' = [15856, 7928, 3964, 1982, 991, 2974, 1487, 4462, 2231, 6694, 3347, 10042, 5021, 15064, 7532, 3766, 1883, 5650, 2825, 8476, 4238, 2119, 6358, 3179, 9538, 4769, 14308, 7154, 3577, 10732, 5366, 2683, 8050, 4025, 12076, 6038, 3019, 9058, 4529, 13588, 6794, 3397, 10192, 5096, 2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 15855,
      'N1' = 15856],
     [5285 > 1,
      1 is 5285 mod 2,
      15855 is 3 * 5285,
      15856 is 15855 + 1,
      collatz(15856, [15856, 7928, 3964, 1982, 991, 2974, 1487, 4462, 2231, 6694, 3347, 10042, 5021, 15064, 7532, 3766, 1883, 5650, 2825, 8476, 4238, 2119, 6358, 3179, 9538, 4769, 14308, 7154, 3577, 10732, 5366, 2683, 8050, 4025, 12076, 6038, 3019, 9058, 4529, 13588, 6794, 3397, 10192, 5096, 2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(5285 > 1, builtin, [], []).
step(1 is 5285 mod 2, builtin, [], []).
step(15855 is 3 * 5285, builtin, [], []).
step(15856 is 15855 + 1, builtin, [], []).
step(collatz(15856, [15856, 7928, 3964, 1982, 991, 2974, 1487, 4462, 2231, 6694, 3347, 10042, 5021, 15064, 7532, 3766, 1883, 5650, 2825, 8476, 4238, 2119, 6358, 3179, 9538, 4769, 14308, 7154, 3577, 10732, 5366, 2683, 8050, 4025, 12076, 6038, 3019, 9058, 4529, 13588, 6794, 3397, 10192, 5096, 2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 15856,
      'J' = [7928, 3964, 1982, 991, 2974, 1487, 4462, 2231, 6694, 3347, 10042, 5021, 15064, 7532, 3766, 1883, 5650, 2825, 8476, 4238, 2119, 6358, 3179, 9538, 4769, 14308, 7154, 3577, 10732, 5366, 2683, 8050, 4025, 12076, 6038, 3019, 9058, 4529, 13588, 6794, 3397, 10192, 5096, 2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 7928],
     [15856 > 1,
      0 is 15856 mod 2,
      7928 is 15856 // 2,
      collatz(7928, [7928, 3964, 1982, 991, 2974, 1487, 4462, 2231, 6694, 3347, 10042, 5021, 15064, 7532, 3766, 1883, 5650, 2825, 8476, 4238, 2119, 6358, 3179, 9538, 4769, 14308, 7154, 3577, 10732, 5366, 2683, 8050, 4025, 12076, 6038, 3019, 9058, 4529, 13588, 6794, 3397, 10192, 5096, 2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(15856 > 1, builtin, [], []).
step(0 is 15856 mod 2, builtin, [], []).
step(7928 is 15856 // 2, builtin, [], []).
step(collatz(7928, [7928, 3964, 1982, 991, 2974, 1487, 4462, 2231, 6694, 3347, 10042, 5021, 15064, 7532, 3766, 1883, 5650, 2825, 8476, 4238, 2119, 6358, 3179, 9538, 4769, 14308, 7154, 3577, 10732, 5366, 2683, 8050, 4025, 12076, 6038, 3019, 9058, 4529, 13588, 6794, 3397, 10192, 5096, 2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 7928,
      'J' = [3964, 1982, 991, 2974, 1487, 4462, 2231, 6694, 3347, 10042, 5021, 15064, 7532, 3766, 1883, 5650, 2825, 8476, 4238, 2119, 6358, 3179, 9538, 4769, 14308, 7154, 3577, 10732, 5366, 2683, 8050, 4025, 12076, 6038, 3019, 9058, 4529, 13588, 6794, 3397, 10192, 5096, 2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 3964],
     [7928 > 1,
      0 is 7928 mod 2,
      3964 is 7928 // 2,
      collatz(3964, [3964, 1982, 991, 2974, 1487, 4462, 2231, 6694, 3347, 10042, 5021, 15064, 7532, 3766, 1883, 5650, 2825, 8476, 4238, 2119, 6358, 3179, 9538, 4769, 14308, 7154, 3577, 10732, 5366, 2683, 8050, 4025, 12076, 6038, 3019, 9058, 4529, 13588, 6794, 3397, 10192, 5096, 2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(7928 > 1, builtin, [], []).
step(0 is 7928 mod 2, builtin, [], []).
step(3964 is 7928 // 2, builtin, [], []).
step(collatz(3964, [3964, 1982, 991, 2974, 1487, 4462, 2231, 6694, 3347, 10042, 5021, 15064, 7532, 3766, 1883, 5650, 2825, 8476, 4238, 2119, 6358, 3179, 9538, 4769, 14308, 7154, 3577, 10732, 5366, 2683, 8050, 4025, 12076, 6038, 3019, 9058, 4529, 13588, 6794, 3397, 10192, 5096, 2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 3964,
      'J' = [1982, 991, 2974, 1487, 4462, 2231, 6694, 3347, 10042, 5021, 15064, 7532, 3766, 1883, 5650, 2825, 8476, 4238, 2119, 6358, 3179, 9538, 4769, 14308, 7154, 3577, 10732, 5366, 2683, 8050, 4025, 12076, 6038, 3019, 9058, 4529, 13588, 6794, 3397, 10192, 5096, 2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1982],
     [3964 > 1,
      0 is 3964 mod 2,
      1982 is 3964 // 2,
      collatz(1982, [1982, 991, 2974, 1487, 4462, 2231, 6694, 3347, 10042, 5021, 15064, 7532, 3766, 1883, 5650, 2825, 8476, 4238, 2119, 6358, 3179, 9538, 4769, 14308, 7154, 3577, 10732, 5366, 2683, 8050, 4025, 12076, 6038, 3019, 9058, 4529, 13588, 6794, 3397, 10192, 5096, 2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(3964 > 1, builtin, [], []).
step(0 is 3964 mod 2, builtin, [], []).
step(1982 is 3964 // 2, builtin, [], []).
step(collatz(1982, [1982, 991, 2974, 1487, 4462, 2231, 6694, 3347, 10042, 5021, 15064, 7532, 3766, 1883, 5650, 2825, 8476, 4238, 2119, 6358, 3179, 9538, 4769, 14308, 7154, 3577, 10732, 5366, 2683, 8050, 4025, 12076, 6038, 3019, 9058, 4529, 13588, 6794, 3397, 10192, 5096, 2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1982,
      'J' = [991, 2974, 1487, 4462, 2231, 6694, 3347, 10042, 5021, 15064, 7532, 3766, 1883, 5650, 2825, 8476, 4238, 2119, 6358, 3179, 9538, 4769, 14308, 7154, 3577, 10732, 5366, 2683, 8050, 4025, 12076, 6038, 3019, 9058, 4529, 13588, 6794, 3397, 10192, 5096, 2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 991],
     [1982 > 1,
      0 is 1982 mod 2,
      991 is 1982 // 2,
      collatz(991, [991, 2974, 1487, 4462, 2231, 6694, 3347, 10042, 5021, 15064, 7532, 3766, 1883, 5650, 2825, 8476, 4238, 2119, 6358, 3179, 9538, 4769, 14308, 7154, 3577, 10732, 5366, 2683, 8050, 4025, 12076, 6038, 3019, 9058, 4529, 13588, 6794, 3397, 10192, 5096, 2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1982 > 1, builtin, [], []).
step(0 is 1982 mod 2, builtin, [], []).
step(991 is 1982 // 2, builtin, [], []).
step(collatzTrajectory(926, [926, 463, 1390, 695, 2086, 1043, 3130, 1565, 4696, 2348, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 926,
      'M' = [926, 463, 1390, 695, 2086, 1043, 3130, 1565, 4696, 2348, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 74],
     [repeat(1000, 74),
      926 is 1000 - 74,
      collatz(926, [926, 463, 1390, 695, 2086, 1043, 3130, 1565, 4696, 2348, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 74),
     rule(3),
     ['N' = 1000, 'I' = 74, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 74)]).
step(between(0, 999, 74), builtin, [], []).
step(926 is 1000 - 74, builtin, [], []).
step(collatz(926, [926, 463, 1390, 695, 2086, 1043, 3130, 1565, 4696, 2348, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 926,
      'J' = [463, 1390, 695, 2086, 1043, 3130, 1565, 4696, 2348, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 463],
     [926 > 1,
      0 is 926 mod 2,
      463 is 926 // 2,
      collatz(463, [463, 1390, 695, 2086, 1043, 3130, 1565, 4696, 2348, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(926 > 1, builtin, [], []).
step(0 is 926 mod 2, builtin, [], []).
step(463 is 926 // 2, builtin, [], []).
step(collatz(463, [463, 1390, 695, 2086, 1043, 3130, 1565, 4696, 2348, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 463,
      'J' = [1390, 695, 2086, 1043, 3130, 1565, 4696, 2348, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 1389,
      'N1' = 1390],
     [463 > 1,
      1 is 463 mod 2,
      1389 is 3 * 463,
      1390 is 1389 + 1,
      collatz(1390, [1390, 695, 2086, 1043, 3130, 1565, 4696, 2348, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(463 > 1, builtin, [], []).
step(1 is 463 mod 2, builtin, [], []).
step(1389 is 3 * 463, builtin, [], []).
step(1390 is 1389 + 1, builtin, [], []).
step(collatzTrajectory(925, [925, 2776, 1388, 694, 347, 1042, 521, 1564, 782, 391, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 925,
      'M' = [925, 2776, 1388, 694, 347, 1042, 521, 1564, 782, 391, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 75],
     [repeat(1000, 75),
      925 is 1000 - 75,
      collatz(925, [925, 2776, 1388, 694, 347, 1042, 521, 1564, 782, 391, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 75),
     rule(3),
     ['N' = 1000, 'I' = 75, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 75)]).
step(between(0, 999, 75), builtin, [], []).
step(925 is 1000 - 75, builtin, [], []).
step(collatz(925, [925, 2776, 1388, 694, 347, 1042, 521, 1564, 782, 391, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 925,
      'J' = [2776, 1388, 694, 347, 1042, 521, 1564, 782, 391, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 2775,
      'N1' = 2776],
     [925 > 1,
      1 is 925 mod 2,
      2775 is 3 * 925,
      2776 is 2775 + 1,
      collatz(2776, [2776, 1388, 694, 347, 1042, 521, 1564, 782, 391, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(925 > 1, builtin, [], []).
step(1 is 925 mod 2, builtin, [], []).
step(2775 is 3 * 925, builtin, [], []).
step(2776 is 2775 + 1, builtin, [], []).
step(collatz(2776, [2776, 1388, 694, 347, 1042, 521, 1564, 782, 391, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 2776,
      'J' = [1388, 694, 347, 1042, 521, 1564, 782, 391, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1388],
     [2776 > 1,
      0 is 2776 mod 2,
      1388 is 2776 // 2,
      collatz(1388, [1388, 694, 347, 1042, 521, 1564, 782, 391, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2776 > 1, builtin, [], []).
step(0 is 2776 mod 2, builtin, [], []).
step(1388 is 2776 // 2, builtin, [], []).
step(collatz(1388, [1388, 694, 347, 1042, 521, 1564, 782, 391, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1388,
      'J' = [694, 347, 1042, 521, 1564, 782, 391, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 694],
     [1388 > 1,
      0 is 1388 mod 2,
      694 is 1388 // 2,
      collatz(694, [694, 347, 1042, 521, 1564, 782, 391, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1388 > 1, builtin, [], []).
step(0 is 1388 mod 2, builtin, [], []).
step(694 is 1388 // 2, builtin, [], []).
step(collatz(694, [694, 347, 1042, 521, 1564, 782, 391, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 694,
      'J' = [347, 1042, 521, 1564, 782, 391, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 347],
     [694 > 1,
      0 is 694 mod 2,
      347 is 694 // 2,
      collatz(347, [347, 1042, 521, 1564, 782, 391, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(694 > 1, builtin, [], []).
step(0 is 694 mod 2, builtin, [], []).
step(347 is 694 // 2, builtin, [], []).
step(collatz(347, [347, 1042, 521, 1564, 782, 391, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 347,
      'J' = [1042, 521, 1564, 782, 391, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 1041,
      'N1' = 1042],
     [347 > 1,
      1 is 347 mod 2,
      1041 is 3 * 347,
      1042 is 1041 + 1,
      collatz(1042, [1042, 521, 1564, 782, 391, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(347 > 1, builtin, [], []).
step(1 is 347 mod 2, builtin, [], []).
step(1041 is 3 * 347, builtin, [], []).
step(1042 is 1041 + 1, builtin, [], []).
step(collatz(1042, [1042, 521, 1564, 782, 391, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1042,
      'J' = [521, 1564, 782, 391, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 521],
     [1042 > 1,
      0 is 1042 mod 2,
      521 is 1042 // 2,
      collatz(521, [521, 1564, 782, 391, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1042 > 1, builtin, [], []).
step(0 is 1042 mod 2, builtin, [], []).
step(521 is 1042 // 2, builtin, [], []).
step(collatz(521, [521, 1564, 782, 391, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 521,
      'J' = [1564, 782, 391, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 1563,
      'N1' = 1564],
     [521 > 1,
      1 is 521 mod 2,
      1563 is 3 * 521,
      1564 is 1563 + 1,
      collatz(1564, [1564, 782, 391, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(521 > 1, builtin, [], []).
step(1 is 521 mod 2, builtin, [], []).
step(1563 is 3 * 521, builtin, [], []).
step(1564 is 1563 + 1, builtin, [], []).
step(collatz(1564, [1564, 782, 391, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1564,
      'J' = [782, 391, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 782],
     [1564 > 1,
      0 is 1564 mod 2,
      782 is 1564 // 2,
      collatz(782, [782, 391, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1564 > 1, builtin, [], []).
step(0 is 1564 mod 2, builtin, [], []).
step(782 is 1564 // 2, builtin, [], []).
step(collatz(782, [782, 391, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 782,
      'J' = [391, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 391],
     [782 > 1,
      0 is 782 mod 2,
      391 is 782 // 2,
      collatz(391, [391, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(782 > 1, builtin, [], []).
step(0 is 782 mod 2, builtin, [], []).
step(391 is 782 // 2, builtin, [], []).
step(collatz(391, [391, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 391,
      'J' = [1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 1173,
      'N1' = 1174],
     [391 > 1,
      1 is 391 mod 2,
      1173 is 3 * 391,
      1174 is 1173 + 1,
      collatz(1174, [1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(391 > 1, builtin, [], []).
step(1 is 391 mod 2, builtin, [], []).
step(1173 is 3 * 391, builtin, [], []).
step(1174 is 1173 + 1, builtin, [], []).
step(collatzTrajectory(924, [924, 462, 231, 694, 347, 1042, 521, 1564, 782, 391, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 924,
      'M' = [924, 462, 231, 694, 347, 1042, 521, 1564, 782, 391, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 76],
     [repeat(1000, 76),
      924 is 1000 - 76,
      collatz(924, [924, 462, 231, 694, 347, 1042, 521, 1564, 782, 391, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 76),
     rule(3),
     ['N' = 1000, 'I' = 76, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 76)]).
step(between(0, 999, 76), builtin, [], []).
step(924 is 1000 - 76, builtin, [], []).
step(collatz(924, [924, 462, 231, 694, 347, 1042, 521, 1564, 782, 391, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 924,
      'J' = [462, 231, 694, 347, 1042, 521, 1564, 782, 391, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 462],
     [924 > 1,
      0 is 924 mod 2,
      462 is 924 // 2,
      collatz(462, [462, 231, 694, 347, 1042, 521, 1564, 782, 391, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(924 > 1, builtin, [], []).
step(0 is 924 mod 2, builtin, [], []).
step(462 is 924 // 2, builtin, [], []).
step(collatz(462, [462, 231, 694, 347, 1042, 521, 1564, 782, 391, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 462,
      'J' = [231, 694, 347, 1042, 521, 1564, 782, 391, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 231],
     [462 > 1,
      0 is 462 mod 2,
      231 is 462 // 2,
      collatz(231, [231, 694, 347, 1042, 521, 1564, 782, 391, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(462 > 1, builtin, [], []).
step(0 is 462 mod 2, builtin, [], []).
step(231 is 462 // 2, builtin, [], []).
step(collatz(231, [231, 694, 347, 1042, 521, 1564, 782, 391, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 231,
      'J' = [694, 347, 1042, 521, 1564, 782, 391, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 693,
      'N1' = 694],
     [231 > 1,
      1 is 231 mod 2,
      693 is 3 * 231,
      694 is 693 + 1,
      collatz(694, [694, 347, 1042, 521, 1564, 782, 391, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(231 > 1, builtin, [], []).
step(1 is 231 mod 2, builtin, [], []).
step(693 is 3 * 231, builtin, [], []).
step(694 is 693 + 1, builtin, [], []).
step(collatzTrajectory(923, [923, 2770, 1385, 4156, 2078, 1039, 3118, 1559, 4678, 2339, 7018, 3509, 10528, 5264, 2632, 1316, 658, 329, 988, 494, 247, 742, 371, 1114, 557, 1672, 836, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 923,
      'M' = [923, 2770, 1385, 4156, 2078, 1039, 3118, 1559, 4678, 2339, 7018, 3509, 10528, 5264, 2632, 1316, 658, 329, 988, 494, 247, 742, 371, 1114, 557, 1672, 836, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 77],
     [repeat(1000, 77),
      923 is 1000 - 77,
      collatz(923, [923, 2770, 1385, 4156, 2078, 1039, 3118, 1559, 4678, 2339, 7018, 3509, 10528, 5264, 2632, 1316, 658, 329, 988, 494, 247, 742, 371, 1114, 557, 1672, 836, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 77),
     rule(3),
     ['N' = 1000, 'I' = 77, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 77)]).
step(between(0, 999, 77), builtin, [], []).
step(923 is 1000 - 77, builtin, [], []).
step(collatz(923, [923, 2770, 1385, 4156, 2078, 1039, 3118, 1559, 4678, 2339, 7018, 3509, 10528, 5264, 2632, 1316, 658, 329, 988, 494, 247, 742, 371, 1114, 557, 1672, 836, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 923,
      'J' = [2770, 1385, 4156, 2078, 1039, 3118, 1559, 4678, 2339, 7018, 3509, 10528, 5264, 2632, 1316, 658, 329, 988, 494, 247, 742, 371, 1114, 557, 1672, 836, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 2769,
      'N1' = 2770],
     [923 > 1,
      1 is 923 mod 2,
      2769 is 3 * 923,
      2770 is 2769 + 1,
      collatz(2770, [2770, 1385, 4156, 2078, 1039, 3118, 1559, 4678, 2339, 7018, 3509, 10528, 5264, 2632, 1316, 658, 329, 988, 494, 247, 742, 371, 1114, 557, 1672, 836, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(923 > 1, builtin, [], []).
step(1 is 923 mod 2, builtin, [], []).
step(2769 is 3 * 923, builtin, [], []).
step(2770 is 2769 + 1, builtin, [], []).
step(collatz(2770, [2770, 1385, 4156, 2078, 1039, 3118, 1559, 4678, 2339, 7018, 3509, 10528, 5264, 2632, 1316, 658, 329, 988, 494, 247, 742, 371, 1114, 557, 1672, 836, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 2770,
      'J' = [1385, 4156, 2078, 1039, 3118, 1559, 4678, 2339, 7018, 3509, 10528, 5264, 2632, 1316, 658, 329, 988, 494, 247, 742, 371, 1114, 557, 1672, 836, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1385],
     [2770 > 1,
      0 is 2770 mod 2,
      1385 is 2770 // 2,
      collatz(1385, [1385, 4156, 2078, 1039, 3118, 1559, 4678, 2339, 7018, 3509, 10528, 5264, 2632, 1316, 658, 329, 988, 494, 247, 742, 371, 1114, 557, 1672, 836, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2770 > 1, builtin, [], []).
step(0 is 2770 mod 2, builtin, [], []).
step(1385 is 2770 // 2, builtin, [], []).
step(collatz(1385, [1385, 4156, 2078, 1039, 3118, 1559, 4678, 2339, 7018, 3509, 10528, 5264, 2632, 1316, 658, 329, 988, 494, 247, 742, 371, 1114, 557, 1672, 836, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 1385,
      'J' = [4156, 2078, 1039, 3118, 1559, 4678, 2339, 7018, 3509, 10528, 5264, 2632, 1316, 658, 329, 988, 494, 247, 742, 371, 1114, 557, 1672, 836, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 4155,
      'N1' = 4156],
     [1385 > 1,
      1 is 1385 mod 2,
      4155 is 3 * 1385,
      4156 is 4155 + 1,
      collatz(4156, [4156, 2078, 1039, 3118, 1559, 4678, 2339, 7018, 3509, 10528, 5264, 2632, 1316, 658, 329, 988, 494, 247, 742, 371, 1114, 557, 1672, 836, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1385 > 1, builtin, [], []).
step(1 is 1385 mod 2, builtin, [], []).
step(4155 is 3 * 1385, builtin, [], []).
step(4156 is 4155 + 1, builtin, [], []).
step(collatz(4156, [4156, 2078, 1039, 3118, 1559, 4678, 2339, 7018, 3509, 10528, 5264, 2632, 1316, 658, 329, 988, 494, 247, 742, 371, 1114, 557, 1672, 836, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 4156,
      'J' = [2078, 1039, 3118, 1559, 4678, 2339, 7018, 3509, 10528, 5264, 2632, 1316, 658, 329, 988, 494, 247, 742, 371, 1114, 557, 1672, 836, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 2078],
     [4156 > 1,
      0 is 4156 mod 2,
      2078 is 4156 // 2,
      collatz(2078, [2078, 1039, 3118, 1559, 4678, 2339, 7018, 3509, 10528, 5264, 2632, 1316, 658, 329, 988, 494, 247, 742, 371, 1114, 557, 1672, 836, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(4156 > 1, builtin, [], []).
step(0 is 4156 mod 2, builtin, [], []).
step(2078 is 4156 // 2, builtin, [], []).
step(collatz(2078, [2078, 1039, 3118, 1559, 4678, 2339, 7018, 3509, 10528, 5264, 2632, 1316, 658, 329, 988, 494, 247, 742, 371, 1114, 557, 1672, 836, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 2078,
      'J' = [1039, 3118, 1559, 4678, 2339, 7018, 3509, 10528, 5264, 2632, 1316, 658, 329, 988, 494, 247, 742, 371, 1114, 557, 1672, 836, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1039],
     [2078 > 1,
      0 is 2078 mod 2,
      1039 is 2078 // 2,
      collatz(1039, [1039, 3118, 1559, 4678, 2339, 7018, 3509, 10528, 5264, 2632, 1316, 658, 329, 988, 494, 247, 742, 371, 1114, 557, 1672, 836, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2078 > 1, builtin, [], []).
step(0 is 2078 mod 2, builtin, [], []).
step(1039 is 2078 // 2, builtin, [], []).
step(collatz(1039, [1039, 3118, 1559, 4678, 2339, 7018, 3509, 10528, 5264, 2632, 1316, 658, 329, 988, 494, 247, 742, 371, 1114, 557, 1672, 836, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 1039,
      'J' = [3118, 1559, 4678, 2339, 7018, 3509, 10528, 5264, 2632, 1316, 658, 329, 988, 494, 247, 742, 371, 1114, 557, 1672, 836, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 3117,
      'N1' = 3118],
     [1039 > 1,
      1 is 1039 mod 2,
      3117 is 3 * 1039,
      3118 is 3117 + 1,
      collatz(3118, [3118, 1559, 4678, 2339, 7018, 3509, 10528, 5264, 2632, 1316, 658, 329, 988, 494, 247, 742, 371, 1114, 557, 1672, 836, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1039 > 1, builtin, [], []).
step(1 is 1039 mod 2, builtin, [], []).
step(3117 is 3 * 1039, builtin, [], []).
step(3118 is 3117 + 1, builtin, [], []).
step(collatz(3118, [3118, 1559, 4678, 2339, 7018, 3509, 10528, 5264, 2632, 1316, 658, 329, 988, 494, 247, 742, 371, 1114, 557, 1672, 836, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 3118,
      'J' = [1559, 4678, 2339, 7018, 3509, 10528, 5264, 2632, 1316, 658, 329, 988, 494, 247, 742, 371, 1114, 557, 1672, 836, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1559],
     [3118 > 1,
      0 is 3118 mod 2,
      1559 is 3118 // 2,
      collatz(1559, [1559, 4678, 2339, 7018, 3509, 10528, 5264, 2632, 1316, 658, 329, 988, 494, 247, 742, 371, 1114, 557, 1672, 836, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(3118 > 1, builtin, [], []).
step(0 is 3118 mod 2, builtin, [], []).
step(1559 is 3118 // 2, builtin, [], []).
step(collatz(1559, [1559, 4678, 2339, 7018, 3509, 10528, 5264, 2632, 1316, 658, 329, 988, 494, 247, 742, 371, 1114, 557, 1672, 836, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 1559,
      'J' = [4678, 2339, 7018, 3509, 10528, 5264, 2632, 1316, 658, 329, 988, 494, 247, 742, 371, 1114, 557, 1672, 836, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 4677,
      'N1' = 4678],
     [1559 > 1,
      1 is 1559 mod 2,
      4677 is 3 * 1559,
      4678 is 4677 + 1,
      collatz(4678, [4678, 2339, 7018, 3509, 10528, 5264, 2632, 1316, 658, 329, 988, 494, 247, 742, 371, 1114, 557, 1672, 836, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1559 > 1, builtin, [], []).
step(1 is 1559 mod 2, builtin, [], []).
step(4677 is 3 * 1559, builtin, [], []).
step(4678 is 4677 + 1, builtin, [], []).
step(collatz(4678, [4678, 2339, 7018, 3509, 10528, 5264, 2632, 1316, 658, 329, 988, 494, 247, 742, 371, 1114, 557, 1672, 836, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 4678,
      'J' = [2339, 7018, 3509, 10528, 5264, 2632, 1316, 658, 329, 988, 494, 247, 742, 371, 1114, 557, 1672, 836, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 2339],
     [4678 > 1,
      0 is 4678 mod 2,
      2339 is 4678 // 2,
      collatz(2339, [2339, 7018, 3509, 10528, 5264, 2632, 1316, 658, 329, 988, 494, 247, 742, 371, 1114, 557, 1672, 836, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(4678 > 1, builtin, [], []).
step(0 is 4678 mod 2, builtin, [], []).
step(2339 is 4678 // 2, builtin, [], []).
step(collatz(2339, [2339, 7018, 3509, 10528, 5264, 2632, 1316, 658, 329, 988, 494, 247, 742, 371, 1114, 557, 1672, 836, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 2339,
      'J' = [7018, 3509, 10528, 5264, 2632, 1316, 658, 329, 988, 494, 247, 742, 371, 1114, 557, 1672, 836, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 7017,
      'N1' = 7018],
     [2339 > 1,
      1 is 2339 mod 2,
      7017 is 3 * 2339,
      7018 is 7017 + 1,
      collatz(7018, [7018, 3509, 10528, 5264, 2632, 1316, 658, 329, 988, 494, 247, 742, 371, 1114, 557, 1672, 836, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2339 > 1, builtin, [], []).
step(1 is 2339 mod 2, builtin, [], []).
step(7017 is 3 * 2339, builtin, [], []).
step(7018 is 7017 + 1, builtin, [], []).
step(collatz(7018, [7018, 3509, 10528, 5264, 2632, 1316, 658, 329, 988, 494, 247, 742, 371, 1114, 557, 1672, 836, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 7018,
      'J' = [3509, 10528, 5264, 2632, 1316, 658, 329, 988, 494, 247, 742, 371, 1114, 557, 1672, 836, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 3509],
     [7018 > 1,
      0 is 7018 mod 2,
      3509 is 7018 // 2,
      collatz(3509, [3509, 10528, 5264, 2632, 1316, 658, 329, 988, 494, 247, 742, 371, 1114, 557, 1672, 836, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(7018 > 1, builtin, [], []).
step(0 is 7018 mod 2, builtin, [], []).
step(3509 is 7018 // 2, builtin, [], []).
step(collatz(3509, [3509, 10528, 5264, 2632, 1316, 658, 329, 988, 494, 247, 742, 371, 1114, 557, 1672, 836, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 3509,
      'J' = [10528, 5264, 2632, 1316, 658, 329, 988, 494, 247, 742, 371, 1114, 557, 1672, 836, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 10527,
      'N1' = 10528],
     [3509 > 1,
      1 is 3509 mod 2,
      10527 is 3 * 3509,
      10528 is 10527 + 1,
      collatz(10528, [10528, 5264, 2632, 1316, 658, 329, 988, 494, 247, 742, 371, 1114, 557, 1672, 836, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(3509 > 1, builtin, [], []).
step(1 is 3509 mod 2, builtin, [], []).
step(10527 is 3 * 3509, builtin, [], []).
step(10528 is 10527 + 1, builtin, [], []).
step(collatz(10528, [10528, 5264, 2632, 1316, 658, 329, 988, 494, 247, 742, 371, 1114, 557, 1672, 836, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 10528,
      'J' = [5264, 2632, 1316, 658, 329, 988, 494, 247, 742, 371, 1114, 557, 1672, 836, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 5264],
     [10528 > 1,
      0 is 10528 mod 2,
      5264 is 10528 // 2,
      collatz(5264, [5264, 2632, 1316, 658, 329, 988, 494, 247, 742, 371, 1114, 557, 1672, 836, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(10528 > 1, builtin, [], []).
step(0 is 10528 mod 2, builtin, [], []).
step(5264 is 10528 // 2, builtin, [], []).
step(collatz(5264, [5264, 2632, 1316, 658, 329, 988, 494, 247, 742, 371, 1114, 557, 1672, 836, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 5264,
      'J' = [2632, 1316, 658, 329, 988, 494, 247, 742, 371, 1114, 557, 1672, 836, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 2632],
     [5264 > 1,
      0 is 5264 mod 2,
      2632 is 5264 // 2,
      collatz(2632, [2632, 1316, 658, 329, 988, 494, 247, 742, 371, 1114, 557, 1672, 836, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(5264 > 1, builtin, [], []).
step(0 is 5264 mod 2, builtin, [], []).
step(2632 is 5264 // 2, builtin, [], []).
step(collatz(2632, [2632, 1316, 658, 329, 988, 494, 247, 742, 371, 1114, 557, 1672, 836, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 2632,
      'J' = [1316, 658, 329, 988, 494, 247, 742, 371, 1114, 557, 1672, 836, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1316],
     [2632 > 1,
      0 is 2632 mod 2,
      1316 is 2632 // 2,
      collatz(1316, [1316, 658, 329, 988, 494, 247, 742, 371, 1114, 557, 1672, 836, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2632 > 1, builtin, [], []).
step(0 is 2632 mod 2, builtin, [], []).
step(1316 is 2632 // 2, builtin, [], []).
step(collatz(1316, [1316, 658, 329, 988, 494, 247, 742, 371, 1114, 557, 1672, 836, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1316,
      'J' = [658, 329, 988, 494, 247, 742, 371, 1114, 557, 1672, 836, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 658],
     [1316 > 1,
      0 is 1316 mod 2,
      658 is 1316 // 2,
      collatz(658, [658, 329, 988, 494, 247, 742, 371, 1114, 557, 1672, 836, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1316 > 1, builtin, [], []).
step(0 is 1316 mod 2, builtin, [], []).
step(658 is 1316 // 2, builtin, [], []).
step(collatz(658, [658, 329, 988, 494, 247, 742, 371, 1114, 557, 1672, 836, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 658,
      'J' = [329, 988, 494, 247, 742, 371, 1114, 557, 1672, 836, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 329],
     [658 > 1,
      0 is 658 mod 2,
      329 is 658 // 2,
      collatz(329, [329, 988, 494, 247, 742, 371, 1114, 557, 1672, 836, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(658 > 1, builtin, [], []).
step(0 is 658 mod 2, builtin, [], []).
step(329 is 658 // 2, builtin, [], []).
step(collatz(329, [329, 988, 494, 247, 742, 371, 1114, 557, 1672, 836, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 329,
      'J' = [988, 494, 247, 742, 371, 1114, 557, 1672, 836, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 987,
      'N1' = 988],
     [329 > 1,
      1 is 329 mod 2,
      987 is 3 * 329,
      988 is 987 + 1,
      collatz(988, [988, 494, 247, 742, 371, 1114, 557, 1672, 836, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(329 > 1, builtin, [], []).
step(1 is 329 mod 2, builtin, [], []).
step(987 is 3 * 329, builtin, [], []).
step(988 is 987 + 1, builtin, [], []).
step(collatzTrajectory(922, [922, 461, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 922,
      'M' = [922, 461, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 78],
     [repeat(1000, 78),
      922 is 1000 - 78,
      collatz(922, [922, 461, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 78),
     rule(3),
     ['N' = 1000, 'I' = 78, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 78)]).
step(between(0, 999, 78), builtin, [], []).
step(922 is 1000 - 78, builtin, [], []).
step(collatzTrajectory(921, [921, 2764, 1382, 691, 2074, 1037, 3112, 1556, 778, 389, 1168, 584, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 921,
      'M' = [921, 2764, 1382, 691, 2074, 1037, 3112, 1556, 778, 389, 1168, 584, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 79],
     [repeat(1000, 79),
      921 is 1000 - 79,
      collatz(921, [921, 2764, 1382, 691, 2074, 1037, 3112, 1556, 778, 389, 1168, 584, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 79),
     rule(3),
     ['N' = 1000, 'I' = 79, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 79)]).
step(between(0, 999, 79), builtin, [], []).
step(921 is 1000 - 79, builtin, [], []).
step(collatz(921, [921, 2764, 1382, 691, 2074, 1037, 3112, 1556, 778, 389, 1168, 584, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 921,
      'J' = [2764, 1382, 691, 2074, 1037, 3112, 1556, 778, 389, 1168, 584, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 2763,
      'N1' = 2764],
     [921 > 1,
      1 is 921 mod 2,
      2763 is 3 * 921,
      2764 is 2763 + 1,
      collatz(2764, [2764, 1382, 691, 2074, 1037, 3112, 1556, 778, 389, 1168, 584, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(921 > 1, builtin, [], []).
step(1 is 921 mod 2, builtin, [], []).
step(2763 is 3 * 921, builtin, [], []).
step(2764 is 2763 + 1, builtin, [], []).
step(collatz(2764, [2764, 1382, 691, 2074, 1037, 3112, 1556, 778, 389, 1168, 584, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 2764,
      'J' = [1382, 691, 2074, 1037, 3112, 1556, 778, 389, 1168, 584, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1382],
     [2764 > 1,
      0 is 2764 mod 2,
      1382 is 2764 // 2,
      collatz(1382, [1382, 691, 2074, 1037, 3112, 1556, 778, 389, 1168, 584, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2764 > 1, builtin, [], []).
step(0 is 2764 mod 2, builtin, [], []).
step(1382 is 2764 // 2, builtin, [], []).
step(collatz(1382, [1382, 691, 2074, 1037, 3112, 1556, 778, 389, 1168, 584, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1382,
      'J' = [691, 2074, 1037, 3112, 1556, 778, 389, 1168, 584, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 691],
     [1382 > 1,
      0 is 1382 mod 2,
      691 is 1382 // 2,
      collatz(691, [691, 2074, 1037, 3112, 1556, 778, 389, 1168, 584, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1382 > 1, builtin, [], []).
step(0 is 1382 mod 2, builtin, [], []).
step(691 is 1382 // 2, builtin, [], []).
step(collatz(691, [691, 2074, 1037, 3112, 1556, 778, 389, 1168, 584, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 691,
      'J' = [2074, 1037, 3112, 1556, 778, 389, 1168, 584, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 2073,
      'N1' = 2074],
     [691 > 1,
      1 is 691 mod 2,
      2073 is 3 * 691,
      2074 is 2073 + 1,
      collatz(2074, [2074, 1037, 3112, 1556, 778, 389, 1168, 584, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(691 > 1, builtin, [], []).
step(1 is 691 mod 2, builtin, [], []).
step(2073 is 3 * 691, builtin, [], []).
step(2074 is 2073 + 1, builtin, [], []).
step(collatz(2074, [2074, 1037, 3112, 1556, 778, 389, 1168, 584, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 2074,
      'J' = [1037, 3112, 1556, 778, 389, 1168, 584, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1037],
     [2074 > 1,
      0 is 2074 mod 2,
      1037 is 2074 // 2,
      collatz(1037, [1037, 3112, 1556, 778, 389, 1168, 584, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2074 > 1, builtin, [], []).
step(0 is 2074 mod 2, builtin, [], []).
step(1037 is 2074 // 2, builtin, [], []).
step(collatz(1037, [1037, 3112, 1556, 778, 389, 1168, 584, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 1037,
      'J' = [3112, 1556, 778, 389, 1168, 584, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 3111,
      'N1' = 3112],
     [1037 > 1,
      1 is 1037 mod 2,
      3111 is 3 * 1037,
      3112 is 3111 + 1,
      collatz(3112, [3112, 1556, 778, 389, 1168, 584, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1037 > 1, builtin, [], []).
step(1 is 1037 mod 2, builtin, [], []).
step(3111 is 3 * 1037, builtin, [], []).
step(3112 is 3111 + 1, builtin, [], []).
step(collatz(3112, [3112, 1556, 778, 389, 1168, 584, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 3112,
      'J' = [1556, 778, 389, 1168, 584, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1556],
     [3112 > 1,
      0 is 3112 mod 2,
      1556 is 3112 // 2,
      collatz(1556, [1556, 778, 389, 1168, 584, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(3112 > 1, builtin, [], []).
step(0 is 3112 mod 2, builtin, [], []).
step(1556 is 3112 // 2, builtin, [], []).
step(collatz(1556, [1556, 778, 389, 1168, 584, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1556,
      'J' = [778, 389, 1168, 584, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 778],
     [1556 > 1,
      0 is 1556 mod 2,
      778 is 1556 // 2,
      collatz(778, [778, 389, 1168, 584, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1556 > 1, builtin, [], []).
step(0 is 1556 mod 2, builtin, [], []).
step(778 is 1556 // 2, builtin, [], []).
step(collatz(778, [778, 389, 1168, 584, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 778,
      'J' = [389, 1168, 584, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 389],
     [778 > 1,
      0 is 778 mod 2,
      389 is 778 // 2,
      collatz(389, [389, 1168, 584, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(778 > 1, builtin, [], []).
step(0 is 778 mod 2, builtin, [], []).
step(389 is 778 // 2, builtin, [], []).
step(collatz(389, [389, 1168, 584, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 389,
      'J' = [1168, 584, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 1167,
      'N1' = 1168],
     [389 > 1,
      1 is 389 mod 2,
      1167 is 3 * 389,
      1168 is 1167 + 1,
      collatz(1168, [1168, 584, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(389 > 1, builtin, [], []).
step(1 is 389 mod 2, builtin, [], []).
step(1167 is 3 * 389, builtin, [], []).
step(1168 is 1167 + 1, builtin, [], []).
step(collatz(1168, [1168, 584, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1168,
      'J' = [584, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 584],
     [1168 > 1,
      0 is 1168 mod 2,
      584 is 1168 // 2,
      collatz(584, [584, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1168 > 1, builtin, [], []).
step(0 is 1168 mod 2, builtin, [], []).
step(584 is 1168 // 2, builtin, [], []).
step(collatz(584, [584, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 584,
      'J' = [292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 292],
     [584 > 1,
      0 is 584 mod 2,
      292 is 584 // 2,
      collatz(292, [292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(584 > 1, builtin, [], []).
step(0 is 584 mod 2, builtin, [], []).
step(292 is 584 // 2, builtin, [], []).
step(collatzTrajectory(920, [920, 460, 230, 115, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 920,
      'M' = [920, 460, 230, 115, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 80],
     [repeat(1000, 80),
      920 is 1000 - 80,
      collatz(920, [920, 460, 230, 115, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 80),
     rule(3),
     ['N' = 1000, 'I' = 80, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 80)]).
step(between(0, 999, 80), builtin, [], []).
step(920 is 1000 - 80, builtin, [], []).
step(collatz(920, [920, 460, 230, 115, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 920,
      'J' = [460, 230, 115, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 460],
     [920 > 1,
      0 is 920 mod 2,
      460 is 920 // 2,
      collatz(460, [460, 230, 115, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(920 > 1, builtin, [], []).
step(0 is 920 mod 2, builtin, [], []).
step(460 is 920 // 2, builtin, [], []).
step(collatz(460, [460, 230, 115, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 460,
      'J' = [230, 115, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 230],
     [460 > 1,
      0 is 460 mod 2,
      230 is 460 // 2,
      collatz(230, [230, 115, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(460 > 1, builtin, [], []).
step(0 is 460 mod 2, builtin, [], []).
step(230 is 460 // 2, builtin, [], []).
step(collatz(230, [230, 115, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 230,
      'J' = [115, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 115],
     [230 > 1,
      0 is 230 mod 2,
      115 is 230 // 2,
      collatz(115, [115, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(230 > 1, builtin, [], []).
step(0 is 230 mod 2, builtin, [], []).
step(115 is 230 // 2, builtin, [], []).
step(collatz(115, [115, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 115,
      'J' = [346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 345,
      'N1' = 346],
     [115 > 1,
      1 is 115 mod 2,
      345 is 3 * 115,
      346 is 345 + 1,
      collatz(346, [346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(115 > 1, builtin, [], []).
step(1 is 115 mod 2, builtin, [], []).
step(345 is 3 * 115, builtin, [], []).
step(346 is 345 + 1, builtin, [], []).
step(collatzTrajectory(919, [919, 2758, 1379, 4138, 2069, 6208, 3104, 1552, 776, 388, 194, 97, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 919,
      'M' = [919, 2758, 1379, 4138, 2069, 6208, 3104, 1552, 776, 388, 194, 97, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 81],
     [repeat(1000, 81),
      919 is 1000 - 81,
      collatz(919, [919, 2758, 1379, 4138, 2069, 6208, 3104, 1552, 776, 388, 194, 97, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 81),
     rule(3),
     ['N' = 1000, 'I' = 81, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 81)]).
step(between(0, 999, 81), builtin, [], []).
step(919 is 1000 - 81, builtin, [], []).
step(collatzTrajectory(918, [918, 459, 1378, 689, 2068, 1034, 517, 1552, 776, 388, 194, 97, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 918,
      'M' = [918, 459, 1378, 689, 2068, 1034, 517, 1552, 776, 388, 194, 97, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 82],
     [repeat(1000, 82),
      918 is 1000 - 82,
      collatz(918, [918, 459, 1378, 689, 2068, 1034, 517, 1552, 776, 388, 194, 97, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 82),
     rule(3),
     ['N' = 1000, 'I' = 82, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 82)]).
step(between(0, 999, 82), builtin, [], []).
step(918 is 1000 - 82, builtin, [], []).
step(collatz(918, [918, 459, 1378, 689, 2068, 1034, 517, 1552, 776, 388, 194, 97, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 918,
      'J' = [459, 1378, 689, 2068, 1034, 517, 1552, 776, 388, 194, 97, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 459],
     [918 > 1,
      0 is 918 mod 2,
      459 is 918 // 2,
      collatz(459, [459, 1378, 689, 2068, 1034, 517, 1552, 776, 388, 194, 97, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(918 > 1, builtin, [], []).
step(0 is 918 mod 2, builtin, [], []).
step(459 is 918 // 2, builtin, [], []).
step(collatz(459, [459, 1378, 689, 2068, 1034, 517, 1552, 776, 388, 194, 97, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 459,
      'J' = [1378, 689, 2068, 1034, 517, 1552, 776, 388, 194, 97, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 1377,
      'N1' = 1378],
     [459 > 1,
      1 is 459 mod 2,
      1377 is 3 * 459,
      1378 is 1377 + 1,
      collatz(1378, [1378, 689, 2068, 1034, 517, 1552, 776, 388, 194, 97, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(459 > 1, builtin, [], []).
step(1 is 459 mod 2, builtin, [], []).
step(1377 is 3 * 459, builtin, [], []).
step(1378 is 1377 + 1, builtin, [], []).
step(collatz(1378, [1378, 689, 2068, 1034, 517, 1552, 776, 388, 194, 97, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1378,
      'J' = [689, 2068, 1034, 517, 1552, 776, 388, 194, 97, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 689],
     [1378 > 1,
      0 is 1378 mod 2,
      689 is 1378 // 2,
      collatz(689, [689, 2068, 1034, 517, 1552, 776, 388, 194, 97, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1378 > 1, builtin, [], []).
step(0 is 1378 mod 2, builtin, [], []).
step(689 is 1378 // 2, builtin, [], []).
step(collatz(689, [689, 2068, 1034, 517, 1552, 776, 388, 194, 97, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 689,
      'J' = [2068, 1034, 517, 1552, 776, 388, 194, 97, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 2067,
      'N1' = 2068],
     [689 > 1,
      1 is 689 mod 2,
      2067 is 3 * 689,
      2068 is 2067 + 1,
      collatz(2068, [2068, 1034, 517, 1552, 776, 388, 194, 97, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(689 > 1, builtin, [], []).
step(1 is 689 mod 2, builtin, [], []).
step(2067 is 3 * 689, builtin, [], []).
step(2068 is 2067 + 1, builtin, [], []).
step(collatz(2068, [2068, 1034, 517, 1552, 776, 388, 194, 97, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 2068,
      'J' = [1034, 517, 1552, 776, 388, 194, 97, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1034],
     [2068 > 1,
      0 is 2068 mod 2,
      1034 is 2068 // 2,
      collatz(1034, [1034, 517, 1552, 776, 388, 194, 97, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2068 > 1, builtin, [], []).
step(0 is 2068 mod 2, builtin, [], []).
step(1034 is 2068 // 2, builtin, [], []).
step(collatz(1034, [1034, 517, 1552, 776, 388, 194, 97, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1034,
      'J' = [517, 1552, 776, 388, 194, 97, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 517],
     [1034 > 1,
      0 is 1034 mod 2,
      517 is 1034 // 2,
      collatz(517, [517, 1552, 776, 388, 194, 97, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1034 > 1, builtin, [], []).
step(0 is 1034 mod 2, builtin, [], []).
step(517 is 1034 // 2, builtin, [], []).
step(collatz(517, [517, 1552, 776, 388, 194, 97, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 517,
      'J' = [1552, 776, 388, 194, 97, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 1551,
      'N1' = 1552],
     [517 > 1,
      1 is 517 mod 2,
      1551 is 3 * 517,
      1552 is 1551 + 1,
      collatz(1552, [1552, 776, 388, 194, 97, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(517 > 1, builtin, [], []).
step(1 is 517 mod 2, builtin, [], []).
step(1551 is 3 * 517, builtin, [], []).
step(1552 is 1551 + 1, builtin, [], []).
step(collatzTrajectory(917, [917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 917,
      'M' = [917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 83],
     [repeat(1000, 83),
      917 is 1000 - 83,
      collatz(917, [917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 83),
     rule(3),
     ['N' = 1000, 'I' = 83, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 83)]).
step(between(0, 999, 83), builtin, [], []).
step(917 is 1000 - 83, builtin, [], []).
step(collatzTrajectory(916, [916, 458, 229, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 916,
      'M' = [916, 458, 229, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 84],
     [repeat(1000, 84),
      916 is 1000 - 84,
      collatz(916, [916, 458, 229, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 84),
     rule(3),
     ['N' = 1000, 'I' = 84, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 84)]).
step(between(0, 999, 84), builtin, [], []).
step(916 is 1000 - 84, builtin, [], []).
step(collatzTrajectory(915, [915, 2746, 1373, 4120, 2060, 1030, 515, 1546, 773, 2320, 1160, 580, 290, 145, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 915,
      'M' = [915, 2746, 1373, 4120, 2060, 1030, 515, 1546, 773, 2320, 1160, 580, 290, 145, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 85],
     [repeat(1000, 85),
      915 is 1000 - 85,
      collatz(915, [915, 2746, 1373, 4120, 2060, 1030, 515, 1546, 773, 2320, 1160, 580, 290, 145, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 85),
     rule(3),
     ['N' = 1000, 'I' = 85, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 85)]).
step(between(0, 999, 85), builtin, [], []).
step(915 is 1000 - 85, builtin, [], []).
step(collatz(915, [915, 2746, 1373, 4120, 2060, 1030, 515, 1546, 773, 2320, 1160, 580, 290, 145, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 915,
      'J' = [2746, 1373, 4120, 2060, 1030, 515, 1546, 773, 2320, 1160, 580, 290, 145, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 2745,
      'N1' = 2746],
     [915 > 1,
      1 is 915 mod 2,
      2745 is 3 * 915,
      2746 is 2745 + 1,
      collatz(2746, [2746, 1373, 4120, 2060, 1030, 515, 1546, 773, 2320, 1160, 580, 290, 145, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(915 > 1, builtin, [], []).
step(1 is 915 mod 2, builtin, [], []).
step(2745 is 3 * 915, builtin, [], []).
step(2746 is 2745 + 1, builtin, [], []).
step(collatz(2746, [2746, 1373, 4120, 2060, 1030, 515, 1546, 773, 2320, 1160, 580, 290, 145, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 2746,
      'J' = [1373, 4120, 2060, 1030, 515, 1546, 773, 2320, 1160, 580, 290, 145, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1373],
     [2746 > 1,
      0 is 2746 mod 2,
      1373 is 2746 // 2,
      collatz(1373, [1373, 4120, 2060, 1030, 515, 1546, 773, 2320, 1160, 580, 290, 145, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2746 > 1, builtin, [], []).
step(0 is 2746 mod 2, builtin, [], []).
step(1373 is 2746 // 2, builtin, [], []).
step(collatz(1373, [1373, 4120, 2060, 1030, 515, 1546, 773, 2320, 1160, 580, 290, 145, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 1373,
      'J' = [4120, 2060, 1030, 515, 1546, 773, 2320, 1160, 580, 290, 145, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 4119,
      'N1' = 4120],
     [1373 > 1,
      1 is 1373 mod 2,
      4119 is 3 * 1373,
      4120 is 4119 + 1,
      collatz(4120, [4120, 2060, 1030, 515, 1546, 773, 2320, 1160, 580, 290, 145, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1373 > 1, builtin, [], []).
step(1 is 1373 mod 2, builtin, [], []).
step(4119 is 3 * 1373, builtin, [], []).
step(4120 is 4119 + 1, builtin, [], []).
step(collatz(4120, [4120, 2060, 1030, 515, 1546, 773, 2320, 1160, 580, 290, 145, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 4120,
      'J' = [2060, 1030, 515, 1546, 773, 2320, 1160, 580, 290, 145, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 2060],
     [4120 > 1,
      0 is 4120 mod 2,
      2060 is 4120 // 2,
      collatz(2060, [2060, 1030, 515, 1546, 773, 2320, 1160, 580, 290, 145, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(4120 > 1, builtin, [], []).
step(0 is 4120 mod 2, builtin, [], []).
step(2060 is 4120 // 2, builtin, [], []).
step(collatz(2060, [2060, 1030, 515, 1546, 773, 2320, 1160, 580, 290, 145, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 2060,
      'J' = [1030, 515, 1546, 773, 2320, 1160, 580, 290, 145, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1030],
     [2060 > 1,
      0 is 2060 mod 2,
      1030 is 2060 // 2,
      collatz(1030, [1030, 515, 1546, 773, 2320, 1160, 580, 290, 145, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2060 > 1, builtin, [], []).
step(0 is 2060 mod 2, builtin, [], []).
step(1030 is 2060 // 2, builtin, [], []).
step(collatz(1030, [1030, 515, 1546, 773, 2320, 1160, 580, 290, 145, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1030,
      'J' = [515, 1546, 773, 2320, 1160, 580, 290, 145, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 515],
     [1030 > 1,
      0 is 1030 mod 2,
      515 is 1030 // 2,
      collatz(515, [515, 1546, 773, 2320, 1160, 580, 290, 145, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1030 > 1, builtin, [], []).
step(0 is 1030 mod 2, builtin, [], []).
step(515 is 1030 // 2, builtin, [], []).
step(collatz(515, [515, 1546, 773, 2320, 1160, 580, 290, 145, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 515,
      'J' = [1546, 773, 2320, 1160, 580, 290, 145, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 1545,
      'N1' = 1546],
     [515 > 1,
      1 is 515 mod 2,
      1545 is 3 * 515,
      1546 is 1545 + 1,
      collatz(1546, [1546, 773, 2320, 1160, 580, 290, 145, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(515 > 1, builtin, [], []).
step(1 is 515 mod 2, builtin, [], []).
step(1545 is 3 * 515, builtin, [], []).
step(1546 is 1545 + 1, builtin, [], []).
step(collatz(1546, [1546, 773, 2320, 1160, 580, 290, 145, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1546,
      'J' = [773, 2320, 1160, 580, 290, 145, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 773],
     [1546 > 1,
      0 is 1546 mod 2,
      773 is 1546 // 2,
      collatz(773, [773, 2320, 1160, 580, 290, 145, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1546 > 1, builtin, [], []).
step(0 is 1546 mod 2, builtin, [], []).
step(773 is 1546 // 2, builtin, [], []).
step(collatz(773, [773, 2320, 1160, 580, 290, 145, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 773,
      'J' = [2320, 1160, 580, 290, 145, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 2319,
      'N1' = 2320],
     [773 > 1,
      1 is 773 mod 2,
      2319 is 3 * 773,
      2320 is 2319 + 1,
      collatz(2320, [2320, 1160, 580, 290, 145, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(773 > 1, builtin, [], []).
step(1 is 773 mod 2, builtin, [], []).
step(2319 is 3 * 773, builtin, [], []).
step(2320 is 2319 + 1, builtin, [], []).
step(collatz(2320, [2320, 1160, 580, 290, 145, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 2320,
      'J' = [1160, 580, 290, 145, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1160],
     [2320 > 1,
      0 is 2320 mod 2,
      1160 is 2320 // 2,
      collatz(1160, [1160, 580, 290, 145, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2320 > 1, builtin, [], []).
step(0 is 2320 mod 2, builtin, [], []).
step(1160 is 2320 // 2, builtin, [], []).
step(collatz(1160, [1160, 580, 290, 145, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1160,
      'J' = [580, 290, 145, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 580],
     [1160 > 1,
      0 is 1160 mod 2,
      580 is 1160 // 2,
      collatz(580, [580, 290, 145, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1160 > 1, builtin, [], []).
step(0 is 1160 mod 2, builtin, [], []).
step(580 is 1160 // 2, builtin, [], []).
step(collatz(580, [580, 290, 145, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 580,
      'J' = [290, 145, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 290],
     [580 > 1,
      0 is 580 mod 2,
      290 is 580 // 2,
      collatz(290, [290, 145, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(580 > 1, builtin, [], []).
step(0 is 580 mod 2, builtin, [], []).
step(290 is 580 // 2, builtin, [], []).
step(collatz(290, [290, 145, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 290,
      'J' = [145, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 145],
     [290 > 1,
      0 is 290 mod 2,
      145 is 290 // 2,
      collatz(145, [145, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(290 > 1, builtin, [], []).
step(0 is 290 mod 2, builtin, [], []).
step(145 is 290 // 2, builtin, [], []).
step(collatz(145, [145, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 145,
      'J' = [436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 435,
      'N1' = 436],
     [145 > 1,
      1 is 145 mod 2,
      435 is 3 * 145,
      436 is 435 + 1,
      collatz(436, [436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(145 > 1, builtin, [], []).
step(1 is 145 mod 2, builtin, [], []).
step(435 is 3 * 145, builtin, [], []).
step(436 is 435 + 1, builtin, [], []).
step(collatz(436, [436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 436,
      'J' = [218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 218],
     [436 > 1,
      0 is 436 mod 2,
      218 is 436 // 2,
      collatz(218, [218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(436 > 1, builtin, [], []).
step(0 is 436 mod 2, builtin, [], []).
step(218 is 436 // 2, builtin, [], []).
step(collatz(218, [218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 218,
      'J' = [109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 109],
     [218 > 1,
      0 is 218 mod 2,
      109 is 218 // 2,
      collatz(109, [109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(218 > 1, builtin, [], []).
step(0 is 218 mod 2, builtin, [], []).
step(109 is 218 // 2, builtin, [], []).
step(collatz(109, [109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 109,
      'J' = [328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 327,
      'N1' = 328],
     [109 > 1,
      1 is 109 mod 2,
      327 is 3 * 109,
      328 is 327 + 1,
      collatz(328, [328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(109 > 1, builtin, [], []).
step(1 is 109 mod 2, builtin, [], []).
step(327 is 3 * 109, builtin, [], []).
step(328 is 327 + 1, builtin, [], []).
step(collatz(328, [328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 328,
      'J' = [164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 164],
     [328 > 1,
      0 is 328 mod 2,
      164 is 328 // 2,
      collatz(164, [164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(328 > 1, builtin, [], []).
step(0 is 328 mod 2, builtin, [], []).
step(164 is 328 // 2, builtin, [], []).
step(collatz(164, [164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 164,
      'J' = [82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 82],
     [164 > 1,
      0 is 164 mod 2,
      82 is 164 // 2,
      collatz(82, [82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(164 > 1, builtin, [], []).
step(0 is 164 mod 2, builtin, [], []).
step(82 is 164 // 2, builtin, [], []).
step(collatz(82, [82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 82,
      'J' = [41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 41],
     [82 > 1,
      0 is 82 mod 2,
      41 is 82 // 2,
      collatz(41, [41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(82 > 1, builtin, [], []).
step(0 is 82 mod 2, builtin, [], []).
step(41 is 82 // 2, builtin, [], []).
step(collatz(41, [41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 41,
      'J' = [124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 123,
      'N1' = 124],
     [41 > 1,
      1 is 41 mod 2,
      123 is 3 * 41,
      124 is 123 + 1,
      collatz(124, [124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(41 > 1, builtin, [], []).
step(1 is 41 mod 2, builtin, [], []).
step(123 is 3 * 41, builtin, [], []).
step(124 is 123 + 1, builtin, [], []).
step(collatzTrajectory(914, [914, 457, 1372, 686, 343, 1030, 515, 1546, 773, 2320, 1160, 580, 290, 145, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 914,
      'M' = [914, 457, 1372, 686, 343, 1030, 515, 1546, 773, 2320, 1160, 580, 290, 145, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 86],
     [repeat(1000, 86),
      914 is 1000 - 86,
      collatz(914, [914, 457, 1372, 686, 343, 1030, 515, 1546, 773, 2320, 1160, 580, 290, 145, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 86),
     rule(3),
     ['N' = 1000, 'I' = 86, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 86)]).
step(between(0, 999, 86), builtin, [], []).
step(914 is 1000 - 86, builtin, [], []).
step(collatz(914, [914, 457, 1372, 686, 343, 1030, 515, 1546, 773, 2320, 1160, 580, 290, 145, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 914,
      'J' = [457, 1372, 686, 343, 1030, 515, 1546, 773, 2320, 1160, 580, 290, 145, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 457],
     [914 > 1,
      0 is 914 mod 2,
      457 is 914 // 2,
      collatz(457, [457, 1372, 686, 343, 1030, 515, 1546, 773, 2320, 1160, 580, 290, 145, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(914 > 1, builtin, [], []).
step(0 is 914 mod 2, builtin, [], []).
step(457 is 914 // 2, builtin, [], []).
step(collatz(457, [457, 1372, 686, 343, 1030, 515, 1546, 773, 2320, 1160, 580, 290, 145, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 457,
      'J' = [1372, 686, 343, 1030, 515, 1546, 773, 2320, 1160, 580, 290, 145, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 1371,
      'N1' = 1372],
     [457 > 1,
      1 is 457 mod 2,
      1371 is 3 * 457,
      1372 is 1371 + 1,
      collatz(1372, [1372, 686, 343, 1030, 515, 1546, 773, 2320, 1160, 580, 290, 145, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(457 > 1, builtin, [], []).
step(1 is 457 mod 2, builtin, [], []).
step(1371 is 3 * 457, builtin, [], []).
step(1372 is 1371 + 1, builtin, [], []).
step(collatz(1372, [1372, 686, 343, 1030, 515, 1546, 773, 2320, 1160, 580, 290, 145, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1372,
      'J' = [686, 343, 1030, 515, 1546, 773, 2320, 1160, 580, 290, 145, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 686],
     [1372 > 1,
      0 is 1372 mod 2,
      686 is 1372 // 2,
      collatz(686, [686, 343, 1030, 515, 1546, 773, 2320, 1160, 580, 290, 145, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1372 > 1, builtin, [], []).
step(0 is 1372 mod 2, builtin, [], []).
step(686 is 1372 // 2, builtin, [], []).
step(collatz(686, [686, 343, 1030, 515, 1546, 773, 2320, 1160, 580, 290, 145, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 686,
      'J' = [343, 1030, 515, 1546, 773, 2320, 1160, 580, 290, 145, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 343],
     [686 > 1,
      0 is 686 mod 2,
      343 is 686 // 2,
      collatz(343, [343, 1030, 515, 1546, 773, 2320, 1160, 580, 290, 145, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(686 > 1, builtin, [], []).
step(0 is 686 mod 2, builtin, [], []).
step(343 is 686 // 2, builtin, [], []).
step(collatz(343, [343, 1030, 515, 1546, 773, 2320, 1160, 580, 290, 145, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 343,
      'J' = [1030, 515, 1546, 773, 2320, 1160, 580, 290, 145, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 1029,
      'N1' = 1030],
     [343 > 1,
      1 is 343 mod 2,
      1029 is 3 * 343,
      1030 is 1029 + 1,
      collatz(1030, [1030, 515, 1546, 773, 2320, 1160, 580, 290, 145, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(343 > 1, builtin, [], []).
step(1 is 343 mod 2, builtin, [], []).
step(1029 is 3 * 343, builtin, [], []).
step(1030 is 1029 + 1, builtin, [], []).
step(collatzTrajectory(913, [913, 2740, 1370, 685, 2056, 1028, 514, 257, 772, 386, 193, 580, 290, 145, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 913,
      'M' = [913, 2740, 1370, 685, 2056, 1028, 514, 257, 772, 386, 193, 580, 290, 145, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 87],
     [repeat(1000, 87),
      913 is 1000 - 87,
      collatz(913, [913, 2740, 1370, 685, 2056, 1028, 514, 257, 772, 386, 193, 580, 290, 145, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 87),
     rule(3),
     ['N' = 1000, 'I' = 87, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 87)]).
step(between(0, 999, 87), builtin, [], []).
step(913 is 1000 - 87, builtin, [], []).
step(collatz(913, [913, 2740, 1370, 685, 2056, 1028, 514, 257, 772, 386, 193, 580, 290, 145, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 913,
      'J' = [2740, 1370, 685, 2056, 1028, 514, 257, 772, 386, 193, 580, 290, 145, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 2739,
      'N1' = 2740],
     [913 > 1,
      1 is 913 mod 2,
      2739 is 3 * 913,
      2740 is 2739 + 1,
      collatz(2740, [2740, 1370, 685, 2056, 1028, 514, 257, 772, 386, 193, 580, 290, 145, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(913 > 1, builtin, [], []).
step(1 is 913 mod 2, builtin, [], []).
step(2739 is 3 * 913, builtin, [], []).
step(2740 is 2739 + 1, builtin, [], []).
step(collatz(2740, [2740, 1370, 685, 2056, 1028, 514, 257, 772, 386, 193, 580, 290, 145, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 2740,
      'J' = [1370, 685, 2056, 1028, 514, 257, 772, 386, 193, 580, 290, 145, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1370],
     [2740 > 1,
      0 is 2740 mod 2,
      1370 is 2740 // 2,
      collatz(1370, [1370, 685, 2056, 1028, 514, 257, 772, 386, 193, 580, 290, 145, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2740 > 1, builtin, [], []).
step(0 is 2740 mod 2, builtin, [], []).
step(1370 is 2740 // 2, builtin, [], []).
step(collatz(1370, [1370, 685, 2056, 1028, 514, 257, 772, 386, 193, 580, 290, 145, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1370,
      'J' = [685, 2056, 1028, 514, 257, 772, 386, 193, 580, 290, 145, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 685],
     [1370 > 1,
      0 is 1370 mod 2,
      685 is 1370 // 2,
      collatz(685, [685, 2056, 1028, 514, 257, 772, 386, 193, 580, 290, 145, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1370 > 1, builtin, [], []).
step(0 is 1370 mod 2, builtin, [], []).
step(685 is 1370 // 2, builtin, [], []).
step(collatz(685, [685, 2056, 1028, 514, 257, 772, 386, 193, 580, 290, 145, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 685,
      'J' = [2056, 1028, 514, 257, 772, 386, 193, 580, 290, 145, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 2055,
      'N1' = 2056],
     [685 > 1,
      1 is 685 mod 2,
      2055 is 3 * 685,
      2056 is 2055 + 1,
      collatz(2056, [2056, 1028, 514, 257, 772, 386, 193, 580, 290, 145, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(685 > 1, builtin, [], []).
step(1 is 685 mod 2, builtin, [], []).
step(2055 is 3 * 685, builtin, [], []).
step(2056 is 2055 + 1, builtin, [], []).
step(collatz(2056, [2056, 1028, 514, 257, 772, 386, 193, 580, 290, 145, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 2056,
      'J' = [1028, 514, 257, 772, 386, 193, 580, 290, 145, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1028],
     [2056 > 1,
      0 is 2056 mod 2,
      1028 is 2056 // 2,
      collatz(1028, [1028, 514, 257, 772, 386, 193, 580, 290, 145, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2056 > 1, builtin, [], []).
step(0 is 2056 mod 2, builtin, [], []).
step(1028 is 2056 // 2, builtin, [], []).
step(collatz(1028, [1028, 514, 257, 772, 386, 193, 580, 290, 145, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1028,
      'J' = [514, 257, 772, 386, 193, 580, 290, 145, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 514],
     [1028 > 1,
      0 is 1028 mod 2,
      514 is 1028 // 2,
      collatz(514, [514, 257, 772, 386, 193, 580, 290, 145, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1028 > 1, builtin, [], []).
step(0 is 1028 mod 2, builtin, [], []).
step(514 is 1028 // 2, builtin, [], []).
step(collatz(514, [514, 257, 772, 386, 193, 580, 290, 145, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 514,
      'J' = [257, 772, 386, 193, 580, 290, 145, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 257],
     [514 > 1,
      0 is 514 mod 2,
      257 is 514 // 2,
      collatz(257, [257, 772, 386, 193, 580, 290, 145, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(514 > 1, builtin, [], []).
step(0 is 514 mod 2, builtin, [], []).
step(257 is 514 // 2, builtin, [], []).
step(collatz(257, [257, 772, 386, 193, 580, 290, 145, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 257,
      'J' = [772, 386, 193, 580, 290, 145, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 771,
      'N1' = 772],
     [257 > 1,
      1 is 257 mod 2,
      771 is 3 * 257,
      772 is 771 + 1,
      collatz(772, [772, 386, 193, 580, 290, 145, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(257 > 1, builtin, [], []).
step(1 is 257 mod 2, builtin, [], []).
step(771 is 3 * 257, builtin, [], []).
step(772 is 771 + 1, builtin, [], []).
step(collatz(772, [772, 386, 193, 580, 290, 145, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 772,
      'J' = [386, 193, 580, 290, 145, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 386],
     [772 > 1,
      0 is 772 mod 2,
      386 is 772 // 2,
      collatz(386, [386, 193, 580, 290, 145, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(772 > 1, builtin, [], []).
step(0 is 772 mod 2, builtin, [], []).
step(386 is 772 // 2, builtin, [], []).
step(collatz(386, [386, 193, 580, 290, 145, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 386,
      'J' = [193, 580, 290, 145, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 193],
     [386 > 1,
      0 is 386 mod 2,
      193 is 386 // 2,
      collatz(193, [193, 580, 290, 145, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(386 > 1, builtin, [], []).
step(0 is 386 mod 2, builtin, [], []).
step(193 is 386 // 2, builtin, [], []).
step(collatz(193, [193, 580, 290, 145, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 193,
      'J' = [580, 290, 145, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 579,
      'N1' = 580],
     [193 > 1,
      1 is 193 mod 2,
      579 is 3 * 193,
      580 is 579 + 1,
      collatz(580, [580, 290, 145, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(193 > 1, builtin, [], []).
step(1 is 193 mod 2, builtin, [], []).
step(579 is 3 * 193, builtin, [], []).
step(580 is 579 + 1, builtin, [], []).
step(collatzTrajectory(912, [912, 456, 228, 114, 57, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 912,
      'M' = [912, 456, 228, 114, 57, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 88],
     [repeat(1000, 88),
      912 is 1000 - 88,
      collatz(912, [912, 456, 228, 114, 57, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 88),
     rule(3),
     ['N' = 1000, 'I' = 88, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 88)]).
step(between(0, 999, 88), builtin, [], []).
step(912 is 1000 - 88, builtin, [], []).
step(collatz(912, [912, 456, 228, 114, 57, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 912,
      'J' = [456, 228, 114, 57, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 456],
     [912 > 1,
      0 is 912 mod 2,
      456 is 912 // 2,
      collatz(456, [456, 228, 114, 57, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(912 > 1, builtin, [], []).
step(0 is 912 mod 2, builtin, [], []).
step(456 is 912 // 2, builtin, [], []).
step(collatz(456, [456, 228, 114, 57, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 456,
      'J' = [228, 114, 57, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 228],
     [456 > 1,
      0 is 456 mod 2,
      228 is 456 // 2,
      collatz(228, [228, 114, 57, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(456 > 1, builtin, [], []).
step(0 is 456 mod 2, builtin, [], []).
step(228 is 456 // 2, builtin, [], []).
step(collatz(228, [228, 114, 57, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 228,
      'J' = [114, 57, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 114],
     [228 > 1,
      0 is 228 mod 2,
      114 is 228 // 2,
      collatz(114, [114, 57, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(228 > 1, builtin, [], []).
step(0 is 228 mod 2, builtin, [], []).
step(114 is 228 // 2, builtin, [], []).
step(collatz(114, [114, 57, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 114,
      'J' = [57, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 57],
     [114 > 1,
      0 is 114 mod 2,
      57 is 114 // 2,
      collatz(57, [57, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(114 > 1, builtin, [], []).
step(0 is 114 mod 2, builtin, [], []).
step(57 is 114 // 2, builtin, [], []).
step(collatz(57, [57, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 57,
      'J' = [172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 171,
      'N1' = 172],
     [57 > 1,
      1 is 57 mod 2,
      171 is 3 * 57,
      172 is 171 + 1,
      collatz(172, [172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(57 > 1, builtin, [], []).
step(1 is 57 mod 2, builtin, [], []).
step(171 is 3 * 57, builtin, [], []).
step(172 is 171 + 1, builtin, [], []).
step(collatzTrajectory(911, [911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 911,
      'M' = [911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 89],
     [repeat(1000, 89),
      911 is 1000 - 89,
      collatz(911, [911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 89),
     rule(3),
     ['N' = 1000, 'I' = 89, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 89)]).
step(between(0, 999, 89), builtin, [], []).
step(911 is 1000 - 89, builtin, [], []).
step(collatzTrajectory(910, [910, 455, 1366, 683, 2050, 1025, 3076, 1538, 769, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 910,
      'M' = [910, 455, 1366, 683, 2050, 1025, 3076, 1538, 769, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 90],
     [repeat(1000, 90),
      910 is 1000 - 90,
      collatz(910, [910, 455, 1366, 683, 2050, 1025, 3076, 1538, 769, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 90),
     rule(3),
     ['N' = 1000, 'I' = 90, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 90)]).
step(between(0, 999, 90), builtin, [], []).
step(910 is 1000 - 90, builtin, [], []).
step(collatz(910, [910, 455, 1366, 683, 2050, 1025, 3076, 1538, 769, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 910,
      'J' = [455, 1366, 683, 2050, 1025, 3076, 1538, 769, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 455],
     [910 > 1,
      0 is 910 mod 2,
      455 is 910 // 2,
      collatz(455, [455, 1366, 683, 2050, 1025, 3076, 1538, 769, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(910 > 1, builtin, [], []).
step(0 is 910 mod 2, builtin, [], []).
step(455 is 910 // 2, builtin, [], []).
step(collatz(455, [455, 1366, 683, 2050, 1025, 3076, 1538, 769, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 455,
      'J' = [1366, 683, 2050, 1025, 3076, 1538, 769, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 1365,
      'N1' = 1366],
     [455 > 1,
      1 is 455 mod 2,
      1365 is 3 * 455,
      1366 is 1365 + 1,
      collatz(1366, [1366, 683, 2050, 1025, 3076, 1538, 769, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(455 > 1, builtin, [], []).
step(1 is 455 mod 2, builtin, [], []).
step(1365 is 3 * 455, builtin, [], []).
step(1366 is 1365 + 1, builtin, [], []).
step(collatz(1366, [1366, 683, 2050, 1025, 3076, 1538, 769, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1366,
      'J' = [683, 2050, 1025, 3076, 1538, 769, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 683],
     [1366 > 1,
      0 is 1366 mod 2,
      683 is 1366 // 2,
      collatz(683, [683, 2050, 1025, 3076, 1538, 769, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1366 > 1, builtin, [], []).
step(0 is 1366 mod 2, builtin, [], []).
step(683 is 1366 // 2, builtin, [], []).
step(collatz(683, [683, 2050, 1025, 3076, 1538, 769, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 683,
      'J' = [2050, 1025, 3076, 1538, 769, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 2049,
      'N1' = 2050],
     [683 > 1,
      1 is 683 mod 2,
      2049 is 3 * 683,
      2050 is 2049 + 1,
      collatz(2050, [2050, 1025, 3076, 1538, 769, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(683 > 1, builtin, [], []).
step(1 is 683 mod 2, builtin, [], []).
step(2049 is 3 * 683, builtin, [], []).
step(2050 is 2049 + 1, builtin, [], []).
step(collatz(2050, [2050, 1025, 3076, 1538, 769, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 2050,
      'J' = [1025, 3076, 1538, 769, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1025],
     [2050 > 1,
      0 is 2050 mod 2,
      1025 is 2050 // 2,
      collatz(1025, [1025, 3076, 1538, 769, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2050 > 1, builtin, [], []).
step(0 is 2050 mod 2, builtin, [], []).
step(1025 is 2050 // 2, builtin, [], []).
step(collatz(1025, [1025, 3076, 1538, 769, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 1025,
      'J' = [3076, 1538, 769, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 3075,
      'N1' = 3076],
     [1025 > 1,
      1 is 1025 mod 2,
      3075 is 3 * 1025,
      3076 is 3075 + 1,
      collatz(3076, [3076, 1538, 769, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1025 > 1, builtin, [], []).
step(1 is 1025 mod 2, builtin, [], []).
step(3075 is 3 * 1025, builtin, [], []).
step(3076 is 3075 + 1, builtin, [], []).
step(collatz(3076, [3076, 1538, 769, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 3076,
      'J' = [1538, 769, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1538],
     [3076 > 1,
      0 is 3076 mod 2,
      1538 is 3076 // 2,
      collatz(1538, [1538, 769, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(3076 > 1, builtin, [], []).
step(0 is 3076 mod 2, builtin, [], []).
step(1538 is 3076 // 2, builtin, [], []).
step(collatz(1538, [1538, 769, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1538,
      'J' = [769, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 769],
     [1538 > 1,
      0 is 1538 mod 2,
      769 is 1538 // 2,
      collatz(769, [769, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1538 > 1, builtin, [], []).
step(0 is 1538 mod 2, builtin, [], []).
step(769 is 1538 // 2, builtin, [], []).
step(collatz(769, [769, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 769,
      'J' = [2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 2307,
      'N1' = 2308],
     [769 > 1,
      1 is 769 mod 2,
      2307 is 3 * 769,
      2308 is 2307 + 1,
      collatz(2308, [2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(769 > 1, builtin, [], []).
step(1 is 769 mod 2, builtin, [], []).
step(2307 is 3 * 769, builtin, [], []).
step(2308 is 2307 + 1, builtin, [], []).
step(collatzTrajectory(909, [909, 2728, 1364, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 909,
      'M' = [909, 2728, 1364, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1],
      'N0' = 91],
     [repeat(1000, 91),
      909 is 1000 - 91,
      collatz(909, [909, 2728, 1364, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1])]).
step(repeat(1000, 91),
     rule(3),
     ['N' = 1000, 'I' = 91, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 91)]).
step(between(0, 999, 91), builtin, [], []).
step(909 is 1000 - 91, builtin, [], []).
step(collatz(909, [909, 2728, 1364, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 909,
      'J' = [2728, 1364, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1],
      'T' = 2727,
      'N1' = 2728],
     [909 > 1,
      1 is 909 mod 2,
      2727 is 3 * 909,
      2728 is 2727 + 1,
      collatz(2728, [2728, 1364, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1])]).
step(909 > 1, builtin, [], []).
step(1 is 909 mod 2, builtin, [], []).
step(2727 is 3 * 909, builtin, [], []).
step(2728 is 2727 + 1, builtin, [], []).
step(collatz(2728, [2728, 1364, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 2728,
      'J' = [1364, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1],
      'N1' = 1364],
     [2728 > 1,
      0 is 2728 mod 2,
      1364 is 2728 // 2,
      collatz(1364, [1364, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1])]).
step(2728 > 1, builtin, [], []).
step(0 is 2728 mod 2, builtin, [], []).
step(1364 is 2728 // 2, builtin, [], []).
step(collatz(1364, [1364, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1364, 'J' = [682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1], 'N1' = 682],
     [1364 > 1,
      0 is 1364 mod 2,
      682 is 1364 // 2,
      collatz(682, [682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1])]).
step(1364 > 1, builtin, [], []).
step(0 is 1364 mod 2, builtin, [], []).
step(682 is 1364 // 2, builtin, [], []).
step(collatzTrajectory(908, [908, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 908,
      'M' = [908, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1],
      'N0' = 92],
     [repeat(1000, 92),
      908 is 1000 - 92,
      collatz(908, [908, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1])]).
step(repeat(1000, 92),
     rule(3),
     ['N' = 1000, 'I' = 92, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 92)]).
step(between(0, 999, 92), builtin, [], []).
step(908 is 1000 - 92, builtin, [], []).
step(collatzTrajectory(907, [907, 2722, 1361, 4084, 2042, 1021, 3064, 1532, 766, 383, 1150, 575, 1726, 863, 2590, 1295, 3886, 1943, 5830, 2915, 8746, 4373, 13120, 6560, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 907,
      'M' = [907, 2722, 1361, 4084, 2042, 1021, 3064, 1532, 766, 383, 1150, 575, 1726, 863, 2590, 1295, 3886, 1943, 5830, 2915, 8746, 4373, 13120, 6560, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 93],
     [repeat(1000, 93),
      907 is 1000 - 93,
      collatz(907, [907, 2722, 1361, 4084, 2042, 1021, 3064, 1532, 766, 383, 1150, 575, 1726, 863, 2590, 1295, 3886, 1943, 5830, 2915, 8746, 4373, 13120, 6560, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 93),
     rule(3),
     ['N' = 1000, 'I' = 93, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 93)]).
step(between(0, 999, 93), builtin, [], []).
step(907 is 1000 - 93, builtin, [], []).
step(collatz(907, [907, 2722, 1361, 4084, 2042, 1021, 3064, 1532, 766, 383, 1150, 575, 1726, 863, 2590, 1295, 3886, 1943, 5830, 2915, 8746, 4373, 13120, 6560, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 907,
      'J' = [2722, 1361, 4084, 2042, 1021, 3064, 1532, 766, 383, 1150, 575, 1726, 863, 2590, 1295, 3886, 1943, 5830, 2915, 8746, 4373, 13120, 6560, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 2721,
      'N1' = 2722],
     [907 > 1,
      1 is 907 mod 2,
      2721 is 3 * 907,
      2722 is 2721 + 1,
      collatz(2722, [2722, 1361, 4084, 2042, 1021, 3064, 1532, 766, 383, 1150, 575, 1726, 863, 2590, 1295, 3886, 1943, 5830, 2915, 8746, 4373, 13120, 6560, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(907 > 1, builtin, [], []).
step(1 is 907 mod 2, builtin, [], []).
step(2721 is 3 * 907, builtin, [], []).
step(2722 is 2721 + 1, builtin, [], []).
step(collatz(2722, [2722, 1361, 4084, 2042, 1021, 3064, 1532, 766, 383, 1150, 575, 1726, 863, 2590, 1295, 3886, 1943, 5830, 2915, 8746, 4373, 13120, 6560, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 2722,
      'J' = [1361, 4084, 2042, 1021, 3064, 1532, 766, 383, 1150, 575, 1726, 863, 2590, 1295, 3886, 1943, 5830, 2915, 8746, 4373, 13120, 6560, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1361],
     [2722 > 1,
      0 is 2722 mod 2,
      1361 is 2722 // 2,
      collatz(1361, [1361, 4084, 2042, 1021, 3064, 1532, 766, 383, 1150, 575, 1726, 863, 2590, 1295, 3886, 1943, 5830, 2915, 8746, 4373, 13120, 6560, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2722 > 1, builtin, [], []).
step(0 is 2722 mod 2, builtin, [], []).
step(1361 is 2722 // 2, builtin, [], []).
step(collatz(1361, [1361, 4084, 2042, 1021, 3064, 1532, 766, 383, 1150, 575, 1726, 863, 2590, 1295, 3886, 1943, 5830, 2915, 8746, 4373, 13120, 6560, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 1361,
      'J' = [4084, 2042, 1021, 3064, 1532, 766, 383, 1150, 575, 1726, 863, 2590, 1295, 3886, 1943, 5830, 2915, 8746, 4373, 13120, 6560, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 4083,
      'N1' = 4084],
     [1361 > 1,
      1 is 1361 mod 2,
      4083 is 3 * 1361,
      4084 is 4083 + 1,
      collatz(4084, [4084, 2042, 1021, 3064, 1532, 766, 383, 1150, 575, 1726, 863, 2590, 1295, 3886, 1943, 5830, 2915, 8746, 4373, 13120, 6560, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1361 > 1, builtin, [], []).
step(1 is 1361 mod 2, builtin, [], []).
step(4083 is 3 * 1361, builtin, [], []).
step(4084 is 4083 + 1, builtin, [], []).
step(collatz(4084, [4084, 2042, 1021, 3064, 1532, 766, 383, 1150, 575, 1726, 863, 2590, 1295, 3886, 1943, 5830, 2915, 8746, 4373, 13120, 6560, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 4084,
      'J' = [2042, 1021, 3064, 1532, 766, 383, 1150, 575, 1726, 863, 2590, 1295, 3886, 1943, 5830, 2915, 8746, 4373, 13120, 6560, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 2042],
     [4084 > 1,
      0 is 4084 mod 2,
      2042 is 4084 // 2,
      collatz(2042, [2042, 1021, 3064, 1532, 766, 383, 1150, 575, 1726, 863, 2590, 1295, 3886, 1943, 5830, 2915, 8746, 4373, 13120, 6560, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(4084 > 1, builtin, [], []).
step(0 is 4084 mod 2, builtin, [], []).
step(2042 is 4084 // 2, builtin, [], []).
step(collatz(2042, [2042, 1021, 3064, 1532, 766, 383, 1150, 575, 1726, 863, 2590, 1295, 3886, 1943, 5830, 2915, 8746, 4373, 13120, 6560, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 2042,
      'J' = [1021, 3064, 1532, 766, 383, 1150, 575, 1726, 863, 2590, 1295, 3886, 1943, 5830, 2915, 8746, 4373, 13120, 6560, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1021],
     [2042 > 1,
      0 is 2042 mod 2,
      1021 is 2042 // 2,
      collatz(1021, [1021, 3064, 1532, 766, 383, 1150, 575, 1726, 863, 2590, 1295, 3886, 1943, 5830, 2915, 8746, 4373, 13120, 6560, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2042 > 1, builtin, [], []).
step(0 is 2042 mod 2, builtin, [], []).
step(1021 is 2042 // 2, builtin, [], []).
step(collatz(1021, [1021, 3064, 1532, 766, 383, 1150, 575, 1726, 863, 2590, 1295, 3886, 1943, 5830, 2915, 8746, 4373, 13120, 6560, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 1021,
      'J' = [3064, 1532, 766, 383, 1150, 575, 1726, 863, 2590, 1295, 3886, 1943, 5830, 2915, 8746, 4373, 13120, 6560, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 3063,
      'N1' = 3064],
     [1021 > 1,
      1 is 1021 mod 2,
      3063 is 3 * 1021,
      3064 is 3063 + 1,
      collatz(3064, [3064, 1532, 766, 383, 1150, 575, 1726, 863, 2590, 1295, 3886, 1943, 5830, 2915, 8746, 4373, 13120, 6560, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1021 > 1, builtin, [], []).
step(1 is 1021 mod 2, builtin, [], []).
step(3063 is 3 * 1021, builtin, [], []).
step(3064 is 3063 + 1, builtin, [], []).
step(collatz(3064, [3064, 1532, 766, 383, 1150, 575, 1726, 863, 2590, 1295, 3886, 1943, 5830, 2915, 8746, 4373, 13120, 6560, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 3064,
      'J' = [1532, 766, 383, 1150, 575, 1726, 863, 2590, 1295, 3886, 1943, 5830, 2915, 8746, 4373, 13120, 6560, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1532],
     [3064 > 1,
      0 is 3064 mod 2,
      1532 is 3064 // 2,
      collatz(1532, [1532, 766, 383, 1150, 575, 1726, 863, 2590, 1295, 3886, 1943, 5830, 2915, 8746, 4373, 13120, 6560, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(3064 > 1, builtin, [], []).
step(0 is 3064 mod 2, builtin, [], []).
step(1532 is 3064 // 2, builtin, [], []).
step(collatz(1532, [1532, 766, 383, 1150, 575, 1726, 863, 2590, 1295, 3886, 1943, 5830, 2915, 8746, 4373, 13120, 6560, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1532,
      'J' = [766, 383, 1150, 575, 1726, 863, 2590, 1295, 3886, 1943, 5830, 2915, 8746, 4373, 13120, 6560, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 766],
     [1532 > 1,
      0 is 1532 mod 2,
      766 is 1532 // 2,
      collatz(766, [766, 383, 1150, 575, 1726, 863, 2590, 1295, 3886, 1943, 5830, 2915, 8746, 4373, 13120, 6560, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1532 > 1, builtin, [], []).
step(0 is 1532 mod 2, builtin, [], []).
step(766 is 1532 // 2, builtin, [], []).
step(collatz(766, [766, 383, 1150, 575, 1726, 863, 2590, 1295, 3886, 1943, 5830, 2915, 8746, 4373, 13120, 6560, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 766,
      'J' = [383, 1150, 575, 1726, 863, 2590, 1295, 3886, 1943, 5830, 2915, 8746, 4373, 13120, 6560, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 383],
     [766 > 1,
      0 is 766 mod 2,
      383 is 766 // 2,
      collatz(383, [383, 1150, 575, 1726, 863, 2590, 1295, 3886, 1943, 5830, 2915, 8746, 4373, 13120, 6560, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(766 > 1, builtin, [], []).
step(0 is 766 mod 2, builtin, [], []).
step(383 is 766 // 2, builtin, [], []).
step(collatz(383, [383, 1150, 575, 1726, 863, 2590, 1295, 3886, 1943, 5830, 2915, 8746, 4373, 13120, 6560, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 383,
      'J' = [1150, 575, 1726, 863, 2590, 1295, 3886, 1943, 5830, 2915, 8746, 4373, 13120, 6560, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 1149,
      'N1' = 1150],
     [383 > 1,
      1 is 383 mod 2,
      1149 is 3 * 383,
      1150 is 1149 + 1,
      collatz(1150, [1150, 575, 1726, 863, 2590, 1295, 3886, 1943, 5830, 2915, 8746, 4373, 13120, 6560, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(383 > 1, builtin, [], []).
step(1 is 383 mod 2, builtin, [], []).
step(1149 is 3 * 383, builtin, [], []).
step(1150 is 1149 + 1, builtin, [], []).
step(collatz(1150, [1150, 575, 1726, 863, 2590, 1295, 3886, 1943, 5830, 2915, 8746, 4373, 13120, 6560, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1150,
      'J' = [575, 1726, 863, 2590, 1295, 3886, 1943, 5830, 2915, 8746, 4373, 13120, 6560, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 575],
     [1150 > 1,
      0 is 1150 mod 2,
      575 is 1150 // 2,
      collatz(575, [575, 1726, 863, 2590, 1295, 3886, 1943, 5830, 2915, 8746, 4373, 13120, 6560, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1150 > 1, builtin, [], []).
step(0 is 1150 mod 2, builtin, [], []).
step(575 is 1150 // 2, builtin, [], []).
step(collatz(575, [575, 1726, 863, 2590, 1295, 3886, 1943, 5830, 2915, 8746, 4373, 13120, 6560, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 575,
      'J' = [1726, 863, 2590, 1295, 3886, 1943, 5830, 2915, 8746, 4373, 13120, 6560, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 1725,
      'N1' = 1726],
     [575 > 1,
      1 is 575 mod 2,
      1725 is 3 * 575,
      1726 is 1725 + 1,
      collatz(1726, [1726, 863, 2590, 1295, 3886, 1943, 5830, 2915, 8746, 4373, 13120, 6560, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(575 > 1, builtin, [], []).
step(1 is 575 mod 2, builtin, [], []).
step(1725 is 3 * 575, builtin, [], []).
step(1726 is 1725 + 1, builtin, [], []).
step(collatz(1726, [1726, 863, 2590, 1295, 3886, 1943, 5830, 2915, 8746, 4373, 13120, 6560, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1726,
      'J' = [863, 2590, 1295, 3886, 1943, 5830, 2915, 8746, 4373, 13120, 6560, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 863],
     [1726 > 1,
      0 is 1726 mod 2,
      863 is 1726 // 2,
      collatz(863, [863, 2590, 1295, 3886, 1943, 5830, 2915, 8746, 4373, 13120, 6560, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1726 > 1, builtin, [], []).
step(0 is 1726 mod 2, builtin, [], []).
step(863 is 1726 // 2, builtin, [], []).
step(collatz(863, [863, 2590, 1295, 3886, 1943, 5830, 2915, 8746, 4373, 13120, 6560, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 863,
      'J' = [2590, 1295, 3886, 1943, 5830, 2915, 8746, 4373, 13120, 6560, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 2589,
      'N1' = 2590],
     [863 > 1,
      1 is 863 mod 2,
      2589 is 3 * 863,
      2590 is 2589 + 1,
      collatz(2590, [2590, 1295, 3886, 1943, 5830, 2915, 8746, 4373, 13120, 6560, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(863 > 1, builtin, [], []).
step(1 is 863 mod 2, builtin, [], []).
step(2589 is 3 * 863, builtin, [], []).
step(2590 is 2589 + 1, builtin, [], []).
step(collatz(2590, [2590, 1295, 3886, 1943, 5830, 2915, 8746, 4373, 13120, 6560, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 2590,
      'J' = [1295, 3886, 1943, 5830, 2915, 8746, 4373, 13120, 6560, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1295],
     [2590 > 1,
      0 is 2590 mod 2,
      1295 is 2590 // 2,
      collatz(1295, [1295, 3886, 1943, 5830, 2915, 8746, 4373, 13120, 6560, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2590 > 1, builtin, [], []).
step(0 is 2590 mod 2, builtin, [], []).
step(1295 is 2590 // 2, builtin, [], []).
step(collatz(1295, [1295, 3886, 1943, 5830, 2915, 8746, 4373, 13120, 6560, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 1295,
      'J' = [3886, 1943, 5830, 2915, 8746, 4373, 13120, 6560, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 3885,
      'N1' = 3886],
     [1295 > 1,
      1 is 1295 mod 2,
      3885 is 3 * 1295,
      3886 is 3885 + 1,
      collatz(3886, [3886, 1943, 5830, 2915, 8746, 4373, 13120, 6560, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1295 > 1, builtin, [], []).
step(1 is 1295 mod 2, builtin, [], []).
step(3885 is 3 * 1295, builtin, [], []).
step(3886 is 3885 + 1, builtin, [], []).
step(collatz(3886, [3886, 1943, 5830, 2915, 8746, 4373, 13120, 6560, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 3886,
      'J' = [1943, 5830, 2915, 8746, 4373, 13120, 6560, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1943],
     [3886 > 1,
      0 is 3886 mod 2,
      1943 is 3886 // 2,
      collatz(1943, [1943, 5830, 2915, 8746, 4373, 13120, 6560, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(3886 > 1, builtin, [], []).
step(0 is 3886 mod 2, builtin, [], []).
step(1943 is 3886 // 2, builtin, [], []).
step(collatz(1943, [1943, 5830, 2915, 8746, 4373, 13120, 6560, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 1943,
      'J' = [5830, 2915, 8746, 4373, 13120, 6560, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 5829,
      'N1' = 5830],
     [1943 > 1,
      1 is 1943 mod 2,
      5829 is 3 * 1943,
      5830 is 5829 + 1,
      collatz(5830, [5830, 2915, 8746, 4373, 13120, 6560, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1943 > 1, builtin, [], []).
step(1 is 1943 mod 2, builtin, [], []).
step(5829 is 3 * 1943, builtin, [], []).
step(5830 is 5829 + 1, builtin, [], []).
step(collatz(5830, [5830, 2915, 8746, 4373, 13120, 6560, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 5830,
      'J' = [2915, 8746, 4373, 13120, 6560, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 2915],
     [5830 > 1,
      0 is 5830 mod 2,
      2915 is 5830 // 2,
      collatz(2915, [2915, 8746, 4373, 13120, 6560, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(5830 > 1, builtin, [], []).
step(0 is 5830 mod 2, builtin, [], []).
step(2915 is 5830 // 2, builtin, [], []).
step(collatz(2915, [2915, 8746, 4373, 13120, 6560, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 2915,
      'J' = [8746, 4373, 13120, 6560, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 8745,
      'N1' = 8746],
     [2915 > 1,
      1 is 2915 mod 2,
      8745 is 3 * 2915,
      8746 is 8745 + 1,
      collatz(8746, [8746, 4373, 13120, 6560, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2915 > 1, builtin, [], []).
step(1 is 2915 mod 2, builtin, [], []).
step(8745 is 3 * 2915, builtin, [], []).
step(8746 is 8745 + 1, builtin, [], []).
step(collatz(8746, [8746, 4373, 13120, 6560, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 8746,
      'J' = [4373, 13120, 6560, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 4373],
     [8746 > 1,
      0 is 8746 mod 2,
      4373 is 8746 // 2,
      collatz(4373, [4373, 13120, 6560, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(8746 > 1, builtin, [], []).
step(0 is 8746 mod 2, builtin, [], []).
step(4373 is 8746 // 2, builtin, [], []).
step(collatz(4373, [4373, 13120, 6560, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 4373,
      'J' = [13120, 6560, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 13119,
      'N1' = 13120],
     [4373 > 1,
      1 is 4373 mod 2,
      13119 is 3 * 4373,
      13120 is 13119 + 1,
      collatz(13120, [13120, 6560, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(4373 > 1, builtin, [], []).
step(1 is 4373 mod 2, builtin, [], []).
step(13119 is 3 * 4373, builtin, [], []).
step(13120 is 13119 + 1, builtin, [], []).
step(collatz(13120, [13120, 6560, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 13120,
      'J' = [6560, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 6560],
     [13120 > 1,
      0 is 13120 mod 2,
      6560 is 13120 // 2,
      collatz(6560, [6560, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(13120 > 1, builtin, [], []).
step(0 is 13120 mod 2, builtin, [], []).
step(6560 is 13120 // 2, builtin, [], []).
step(collatz(6560, [6560, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 6560,
      'J' = [3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 3280],
     [6560 > 1,
      0 is 6560 mod 2,
      3280 is 6560 // 2,
      collatz(3280, [3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(6560 > 1, builtin, [], []).
step(0 is 6560 mod 2, builtin, [], []).
step(3280 is 6560 // 2, builtin, [], []).
step(collatzTrajectory(906, [906, 453, 1360, 680, 340, 170, 85, 256, 128, 64, 32, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 906,
      'M' = [906, 453, 1360, 680, 340, 170, 85, 256, 128, 64, 32, 16, 8, 4, 2, 1],
      'N0' = 94],
     [repeat(1000, 94),
      906 is 1000 - 94,
      collatz(906, [906, 453, 1360, 680, 340, 170, 85, 256, 128, 64, 32, 16, 8, 4, 2, 1])]).
step(repeat(1000, 94),
     rule(3),
     ['N' = 1000, 'I' = 94, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 94)]).
step(between(0, 999, 94), builtin, [], []).
step(906 is 1000 - 94, builtin, [], []).
step(collatz(906, [906, 453, 1360, 680, 340, 170, 85, 256, 128, 64, 32, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 906,
      'J' = [453, 1360, 680, 340, 170, 85, 256, 128, 64, 32, 16, 8, 4, 2, 1],
      'N1' = 453],
     [906 > 1,
      0 is 906 mod 2,
      453 is 906 // 2,
      collatz(453, [453, 1360, 680, 340, 170, 85, 256, 128, 64, 32, 16, 8, 4, 2, 1])]).
step(906 > 1, builtin, [], []).
step(0 is 906 mod 2, builtin, [], []).
step(453 is 906 // 2, builtin, [], []).
step(collatz(453, [453, 1360, 680, 340, 170, 85, 256, 128, 64, 32, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 453,
      'J' = [1360, 680, 340, 170, 85, 256, 128, 64, 32, 16, 8, 4, 2, 1],
      'T' = 1359,
      'N1' = 1360],
     [453 > 1,
      1 is 453 mod 2,
      1359 is 3 * 453,
      1360 is 1359 + 1,
      collatz(1360, [1360, 680, 340, 170, 85, 256, 128, 64, 32, 16, 8, 4, 2, 1])]).
step(453 > 1, builtin, [], []).
step(1 is 453 mod 2, builtin, [], []).
step(1359 is 3 * 453, builtin, [], []).
step(1360 is 1359 + 1, builtin, [], []).
step(collatz(1360, [1360, 680, 340, 170, 85, 256, 128, 64, 32, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1360, 'J' = [680, 340, 170, 85, 256, 128, 64, 32, 16, 8, 4, 2, 1], 'N1' = 680],
     [1360 > 1,
      0 is 1360 mod 2,
      680 is 1360 // 2,
      collatz(680, [680, 340, 170, 85, 256, 128, 64, 32, 16, 8, 4, 2, 1])]).
step(1360 > 1, builtin, [], []).
step(0 is 1360 mod 2, builtin, [], []).
step(680 is 1360 // 2, builtin, [], []).
step(collatz(680, [680, 340, 170, 85, 256, 128, 64, 32, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 680, 'J' = [340, 170, 85, 256, 128, 64, 32, 16, 8, 4, 2, 1], 'N1' = 340],
     [680 > 1,
      0 is 680 mod 2,
      340 is 680 // 2,
      collatz(340, [340, 170, 85, 256, 128, 64, 32, 16, 8, 4, 2, 1])]).
step(680 > 1, builtin, [], []).
step(0 is 680 mod 2, builtin, [], []).
step(340 is 680 // 2, builtin, [], []).
step(collatzTrajectory(905, [905, 2716, 1358, 679, 2038, 1019, 3058, 1529, 4588, 2294, 1147, 3442, 1721, 5164, 2582, 1291, 3874, 1937, 5812, 2906, 1453, 4360, 2180, 1090, 545, 1636, 818, 409, 1228, 614, 307, 922, 461, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 905,
      'M' = [905, 2716, 1358, 679, 2038, 1019, 3058, 1529, 4588, 2294, 1147, 3442, 1721, 5164, 2582, 1291, 3874, 1937, 5812, 2906, 1453, 4360, 2180, 1090, 545, 1636, 818, 409, 1228, 614, 307, 922, 461, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 95],
     [repeat(1000, 95),
      905 is 1000 - 95,
      collatz(905, [905, 2716, 1358, 679, 2038, 1019, 3058, 1529, 4588, 2294, 1147, 3442, 1721, 5164, 2582, 1291, 3874, 1937, 5812, 2906, 1453, 4360, 2180, 1090, 545, 1636, 818, 409, 1228, 614, 307, 922, 461, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 95),
     rule(3),
     ['N' = 1000, 'I' = 95, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 95)]).
step(between(0, 999, 95), builtin, [], []).
step(905 is 1000 - 95, builtin, [], []).
step(collatz(905, [905, 2716, 1358, 679, 2038, 1019, 3058, 1529, 4588, 2294, 1147, 3442, 1721, 5164, 2582, 1291, 3874, 1937, 5812, 2906, 1453, 4360, 2180, 1090, 545, 1636, 818, 409, 1228, 614, 307, 922, 461, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 905,
      'J' = [2716, 1358, 679, 2038, 1019, 3058, 1529, 4588, 2294, 1147, 3442, 1721, 5164, 2582, 1291, 3874, 1937, 5812, 2906, 1453, 4360, 2180, 1090, 545, 1636, 818, 409, 1228, 614, 307, 922, 461, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 2715,
      'N1' = 2716],
     [905 > 1,
      1 is 905 mod 2,
      2715 is 3 * 905,
      2716 is 2715 + 1,
      collatz(2716, [2716, 1358, 679, 2038, 1019, 3058, 1529, 4588, 2294, 1147, 3442, 1721, 5164, 2582, 1291, 3874, 1937, 5812, 2906, 1453, 4360, 2180, 1090, 545, 1636, 818, 409, 1228, 614, 307, 922, 461, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(905 > 1, builtin, [], []).
step(1 is 905 mod 2, builtin, [], []).
step(2715 is 3 * 905, builtin, [], []).
step(2716 is 2715 + 1, builtin, [], []).
step(collatz(2716, [2716, 1358, 679, 2038, 1019, 3058, 1529, 4588, 2294, 1147, 3442, 1721, 5164, 2582, 1291, 3874, 1937, 5812, 2906, 1453, 4360, 2180, 1090, 545, 1636, 818, 409, 1228, 614, 307, 922, 461, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 2716,
      'J' = [1358, 679, 2038, 1019, 3058, 1529, 4588, 2294, 1147, 3442, 1721, 5164, 2582, 1291, 3874, 1937, 5812, 2906, 1453, 4360, 2180, 1090, 545, 1636, 818, 409, 1228, 614, 307, 922, 461, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1358],
     [2716 > 1,
      0 is 2716 mod 2,
      1358 is 2716 // 2,
      collatz(1358, [1358, 679, 2038, 1019, 3058, 1529, 4588, 2294, 1147, 3442, 1721, 5164, 2582, 1291, 3874, 1937, 5812, 2906, 1453, 4360, 2180, 1090, 545, 1636, 818, 409, 1228, 614, 307, 922, 461, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2716 > 1, builtin, [], []).
step(0 is 2716 mod 2, builtin, [], []).
step(1358 is 2716 // 2, builtin, [], []).
step(collatz(1358, [1358, 679, 2038, 1019, 3058, 1529, 4588, 2294, 1147, 3442, 1721, 5164, 2582, 1291, 3874, 1937, 5812, 2906, 1453, 4360, 2180, 1090, 545, 1636, 818, 409, 1228, 614, 307, 922, 461, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1358,
      'J' = [679, 2038, 1019, 3058, 1529, 4588, 2294, 1147, 3442, 1721, 5164, 2582, 1291, 3874, 1937, 5812, 2906, 1453, 4360, 2180, 1090, 545, 1636, 818, 409, 1228, 614, 307, 922, 461, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 679],
     [1358 > 1,
      0 is 1358 mod 2,
      679 is 1358 // 2,
      collatz(679, [679, 2038, 1019, 3058, 1529, 4588, 2294, 1147, 3442, 1721, 5164, 2582, 1291, 3874, 1937, 5812, 2906, 1453, 4360, 2180, 1090, 545, 1636, 818, 409, 1228, 614, 307, 922, 461, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1358 > 1, builtin, [], []).
step(0 is 1358 mod 2, builtin, [], []).
step(679 is 1358 // 2, builtin, [], []).
step(collatz(679, [679, 2038, 1019, 3058, 1529, 4588, 2294, 1147, 3442, 1721, 5164, 2582, 1291, 3874, 1937, 5812, 2906, 1453, 4360, 2180, 1090, 545, 1636, 818, 409, 1228, 614, 307, 922, 461, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 679,
      'J' = [2038, 1019, 3058, 1529, 4588, 2294, 1147, 3442, 1721, 5164, 2582, 1291, 3874, 1937, 5812, 2906, 1453, 4360, 2180, 1090, 545, 1636, 818, 409, 1228, 614, 307, 922, 461, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 2037,
      'N1' = 2038],
     [679 > 1,
      1 is 679 mod 2,
      2037 is 3 * 679,
      2038 is 2037 + 1,
      collatz(2038, [2038, 1019, 3058, 1529, 4588, 2294, 1147, 3442, 1721, 5164, 2582, 1291, 3874, 1937, 5812, 2906, 1453, 4360, 2180, 1090, 545, 1636, 818, 409, 1228, 614, 307, 922, 461, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(679 > 1, builtin, [], []).
step(1 is 679 mod 2, builtin, [], []).
step(2037 is 3 * 679, builtin, [], []).
step(2038 is 2037 + 1, builtin, [], []).
step(collatz(2038, [2038, 1019, 3058, 1529, 4588, 2294, 1147, 3442, 1721, 5164, 2582, 1291, 3874, 1937, 5812, 2906, 1453, 4360, 2180, 1090, 545, 1636, 818, 409, 1228, 614, 307, 922, 461, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 2038,
      'J' = [1019, 3058, 1529, 4588, 2294, 1147, 3442, 1721, 5164, 2582, 1291, 3874, 1937, 5812, 2906, 1453, 4360, 2180, 1090, 545, 1636, 818, 409, 1228, 614, 307, 922, 461, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1019],
     [2038 > 1,
      0 is 2038 mod 2,
      1019 is 2038 // 2,
      collatz(1019, [1019, 3058, 1529, 4588, 2294, 1147, 3442, 1721, 5164, 2582, 1291, 3874, 1937, 5812, 2906, 1453, 4360, 2180, 1090, 545, 1636, 818, 409, 1228, 614, 307, 922, 461, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2038 > 1, builtin, [], []).
step(0 is 2038 mod 2, builtin, [], []).
step(1019 is 2038 // 2, builtin, [], []).
step(collatz(1019, [1019, 3058, 1529, 4588, 2294, 1147, 3442, 1721, 5164, 2582, 1291, 3874, 1937, 5812, 2906, 1453, 4360, 2180, 1090, 545, 1636, 818, 409, 1228, 614, 307, 922, 461, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 1019,
      'J' = [3058, 1529, 4588, 2294, 1147, 3442, 1721, 5164, 2582, 1291, 3874, 1937, 5812, 2906, 1453, 4360, 2180, 1090, 545, 1636, 818, 409, 1228, 614, 307, 922, 461, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 3057,
      'N1' = 3058],
     [1019 > 1,
      1 is 1019 mod 2,
      3057 is 3 * 1019,
      3058 is 3057 + 1,
      collatz(3058, [3058, 1529, 4588, 2294, 1147, 3442, 1721, 5164, 2582, 1291, 3874, 1937, 5812, 2906, 1453, 4360, 2180, 1090, 545, 1636, 818, 409, 1228, 614, 307, 922, 461, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1019 > 1, builtin, [], []).
step(1 is 1019 mod 2, builtin, [], []).
step(3057 is 3 * 1019, builtin, [], []).
step(3058 is 3057 + 1, builtin, [], []).
step(collatz(3058, [3058, 1529, 4588, 2294, 1147, 3442, 1721, 5164, 2582, 1291, 3874, 1937, 5812, 2906, 1453, 4360, 2180, 1090, 545, 1636, 818, 409, 1228, 614, 307, 922, 461, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 3058,
      'J' = [1529, 4588, 2294, 1147, 3442, 1721, 5164, 2582, 1291, 3874, 1937, 5812, 2906, 1453, 4360, 2180, 1090, 545, 1636, 818, 409, 1228, 614, 307, 922, 461, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1529],
     [3058 > 1,
      0 is 3058 mod 2,
      1529 is 3058 // 2,
      collatz(1529, [1529, 4588, 2294, 1147, 3442, 1721, 5164, 2582, 1291, 3874, 1937, 5812, 2906, 1453, 4360, 2180, 1090, 545, 1636, 818, 409, 1228, 614, 307, 922, 461, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(3058 > 1, builtin, [], []).
step(0 is 3058 mod 2, builtin, [], []).
step(1529 is 3058 // 2, builtin, [], []).
step(collatz(1529, [1529, 4588, 2294, 1147, 3442, 1721, 5164, 2582, 1291, 3874, 1937, 5812, 2906, 1453, 4360, 2180, 1090, 545, 1636, 818, 409, 1228, 614, 307, 922, 461, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 1529,
      'J' = [4588, 2294, 1147, 3442, 1721, 5164, 2582, 1291, 3874, 1937, 5812, 2906, 1453, 4360, 2180, 1090, 545, 1636, 818, 409, 1228, 614, 307, 922, 461, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 4587,
      'N1' = 4588],
     [1529 > 1,
      1 is 1529 mod 2,
      4587 is 3 * 1529,
      4588 is 4587 + 1,
      collatz(4588, [4588, 2294, 1147, 3442, 1721, 5164, 2582, 1291, 3874, 1937, 5812, 2906, 1453, 4360, 2180, 1090, 545, 1636, 818, 409, 1228, 614, 307, 922, 461, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1529 > 1, builtin, [], []).
step(1 is 1529 mod 2, builtin, [], []).
step(4587 is 3 * 1529, builtin, [], []).
step(4588 is 4587 + 1, builtin, [], []).
step(collatz(4588, [4588, 2294, 1147, 3442, 1721, 5164, 2582, 1291, 3874, 1937, 5812, 2906, 1453, 4360, 2180, 1090, 545, 1636, 818, 409, 1228, 614, 307, 922, 461, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 4588,
      'J' = [2294, 1147, 3442, 1721, 5164, 2582, 1291, 3874, 1937, 5812, 2906, 1453, 4360, 2180, 1090, 545, 1636, 818, 409, 1228, 614, 307, 922, 461, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 2294],
     [4588 > 1,
      0 is 4588 mod 2,
      2294 is 4588 // 2,
      collatz(2294, [2294, 1147, 3442, 1721, 5164, 2582, 1291, 3874, 1937, 5812, 2906, 1453, 4360, 2180, 1090, 545, 1636, 818, 409, 1228, 614, 307, 922, 461, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(4588 > 1, builtin, [], []).
step(0 is 4588 mod 2, builtin, [], []).
step(2294 is 4588 // 2, builtin, [], []).
step(collatz(2294, [2294, 1147, 3442, 1721, 5164, 2582, 1291, 3874, 1937, 5812, 2906, 1453, 4360, 2180, 1090, 545, 1636, 818, 409, 1228, 614, 307, 922, 461, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 2294,
      'J' = [1147, 3442, 1721, 5164, 2582, 1291, 3874, 1937, 5812, 2906, 1453, 4360, 2180, 1090, 545, 1636, 818, 409, 1228, 614, 307, 922, 461, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1147],
     [2294 > 1,
      0 is 2294 mod 2,
      1147 is 2294 // 2,
      collatz(1147, [1147, 3442, 1721, 5164, 2582, 1291, 3874, 1937, 5812, 2906, 1453, 4360, 2180, 1090, 545, 1636, 818, 409, 1228, 614, 307, 922, 461, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2294 > 1, builtin, [], []).
step(0 is 2294 mod 2, builtin, [], []).
step(1147 is 2294 // 2, builtin, [], []).
step(collatz(1147, [1147, 3442, 1721, 5164, 2582, 1291, 3874, 1937, 5812, 2906, 1453, 4360, 2180, 1090, 545, 1636, 818, 409, 1228, 614, 307, 922, 461, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 1147,
      'J' = [3442, 1721, 5164, 2582, 1291, 3874, 1937, 5812, 2906, 1453, 4360, 2180, 1090, 545, 1636, 818, 409, 1228, 614, 307, 922, 461, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 3441,
      'N1' = 3442],
     [1147 > 1,
      1 is 1147 mod 2,
      3441 is 3 * 1147,
      3442 is 3441 + 1,
      collatz(3442, [3442, 1721, 5164, 2582, 1291, 3874, 1937, 5812, 2906, 1453, 4360, 2180, 1090, 545, 1636, 818, 409, 1228, 614, 307, 922, 461, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1147 > 1, builtin, [], []).
step(1 is 1147 mod 2, builtin, [], []).
step(3441 is 3 * 1147, builtin, [], []).
step(3442 is 3441 + 1, builtin, [], []).
step(collatz(3442, [3442, 1721, 5164, 2582, 1291, 3874, 1937, 5812, 2906, 1453, 4360, 2180, 1090, 545, 1636, 818, 409, 1228, 614, 307, 922, 461, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 3442,
      'J' = [1721, 5164, 2582, 1291, 3874, 1937, 5812, 2906, 1453, 4360, 2180, 1090, 545, 1636, 818, 409, 1228, 614, 307, 922, 461, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1721],
     [3442 > 1,
      0 is 3442 mod 2,
      1721 is 3442 // 2,
      collatz(1721, [1721, 5164, 2582, 1291, 3874, 1937, 5812, 2906, 1453, 4360, 2180, 1090, 545, 1636, 818, 409, 1228, 614, 307, 922, 461, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(3442 > 1, builtin, [], []).
step(0 is 3442 mod 2, builtin, [], []).
step(1721 is 3442 // 2, builtin, [], []).
step(collatz(1721, [1721, 5164, 2582, 1291, 3874, 1937, 5812, 2906, 1453, 4360, 2180, 1090, 545, 1636, 818, 409, 1228, 614, 307, 922, 461, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 1721,
      'J' = [5164, 2582, 1291, 3874, 1937, 5812, 2906, 1453, 4360, 2180, 1090, 545, 1636, 818, 409, 1228, 614, 307, 922, 461, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 5163,
      'N1' = 5164],
     [1721 > 1,
      1 is 1721 mod 2,
      5163 is 3 * 1721,
      5164 is 5163 + 1,
      collatz(5164, [5164, 2582, 1291, 3874, 1937, 5812, 2906, 1453, 4360, 2180, 1090, 545, 1636, 818, 409, 1228, 614, 307, 922, 461, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1721 > 1, builtin, [], []).
step(1 is 1721 mod 2, builtin, [], []).
step(5163 is 3 * 1721, builtin, [], []).
step(5164 is 5163 + 1, builtin, [], []).
step(collatz(5164, [5164, 2582, 1291, 3874, 1937, 5812, 2906, 1453, 4360, 2180, 1090, 545, 1636, 818, 409, 1228, 614, 307, 922, 461, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 5164,
      'J' = [2582, 1291, 3874, 1937, 5812, 2906, 1453, 4360, 2180, 1090, 545, 1636, 818, 409, 1228, 614, 307, 922, 461, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 2582],
     [5164 > 1,
      0 is 5164 mod 2,
      2582 is 5164 // 2,
      collatz(2582, [2582, 1291, 3874, 1937, 5812, 2906, 1453, 4360, 2180, 1090, 545, 1636, 818, 409, 1228, 614, 307, 922, 461, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(5164 > 1, builtin, [], []).
step(0 is 5164 mod 2, builtin, [], []).
step(2582 is 5164 // 2, builtin, [], []).
step(collatz(2582, [2582, 1291, 3874, 1937, 5812, 2906, 1453, 4360, 2180, 1090, 545, 1636, 818, 409, 1228, 614, 307, 922, 461, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 2582,
      'J' = [1291, 3874, 1937, 5812, 2906, 1453, 4360, 2180, 1090, 545, 1636, 818, 409, 1228, 614, 307, 922, 461, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1291],
     [2582 > 1,
      0 is 2582 mod 2,
      1291 is 2582 // 2,
      collatz(1291, [1291, 3874, 1937, 5812, 2906, 1453, 4360, 2180, 1090, 545, 1636, 818, 409, 1228, 614, 307, 922, 461, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2582 > 1, builtin, [], []).
step(0 is 2582 mod 2, builtin, [], []).
step(1291 is 2582 // 2, builtin, [], []).
step(collatz(1291, [1291, 3874, 1937, 5812, 2906, 1453, 4360, 2180, 1090, 545, 1636, 818, 409, 1228, 614, 307, 922, 461, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 1291,
      'J' = [3874, 1937, 5812, 2906, 1453, 4360, 2180, 1090, 545, 1636, 818, 409, 1228, 614, 307, 922, 461, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 3873,
      'N1' = 3874],
     [1291 > 1,
      1 is 1291 mod 2,
      3873 is 3 * 1291,
      3874 is 3873 + 1,
      collatz(3874, [3874, 1937, 5812, 2906, 1453, 4360, 2180, 1090, 545, 1636, 818, 409, 1228, 614, 307, 922, 461, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1291 > 1, builtin, [], []).
step(1 is 1291 mod 2, builtin, [], []).
step(3873 is 3 * 1291, builtin, [], []).
step(3874 is 3873 + 1, builtin, [], []).
step(collatz(3874, [3874, 1937, 5812, 2906, 1453, 4360, 2180, 1090, 545, 1636, 818, 409, 1228, 614, 307, 922, 461, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 3874,
      'J' = [1937, 5812, 2906, 1453, 4360, 2180, 1090, 545, 1636, 818, 409, 1228, 614, 307, 922, 461, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1937],
     [3874 > 1,
      0 is 3874 mod 2,
      1937 is 3874 // 2,
      collatz(1937, [1937, 5812, 2906, 1453, 4360, 2180, 1090, 545, 1636, 818, 409, 1228, 614, 307, 922, 461, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(3874 > 1, builtin, [], []).
step(0 is 3874 mod 2, builtin, [], []).
step(1937 is 3874 // 2, builtin, [], []).
step(collatz(1937, [1937, 5812, 2906, 1453, 4360, 2180, 1090, 545, 1636, 818, 409, 1228, 614, 307, 922, 461, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 1937,
      'J' = [5812, 2906, 1453, 4360, 2180, 1090, 545, 1636, 818, 409, 1228, 614, 307, 922, 461, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 5811,
      'N1' = 5812],
     [1937 > 1,
      1 is 1937 mod 2,
      5811 is 3 * 1937,
      5812 is 5811 + 1,
      collatz(5812, [5812, 2906, 1453, 4360, 2180, 1090, 545, 1636, 818, 409, 1228, 614, 307, 922, 461, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1937 > 1, builtin, [], []).
step(1 is 1937 mod 2, builtin, [], []).
step(5811 is 3 * 1937, builtin, [], []).
step(5812 is 5811 + 1, builtin, [], []).
step(collatz(5812, [5812, 2906, 1453, 4360, 2180, 1090, 545, 1636, 818, 409, 1228, 614, 307, 922, 461, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 5812,
      'J' = [2906, 1453, 4360, 2180, 1090, 545, 1636, 818, 409, 1228, 614, 307, 922, 461, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 2906],
     [5812 > 1,
      0 is 5812 mod 2,
      2906 is 5812 // 2,
      collatz(2906, [2906, 1453, 4360, 2180, 1090, 545, 1636, 818, 409, 1228, 614, 307, 922, 461, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(5812 > 1, builtin, [], []).
step(0 is 5812 mod 2, builtin, [], []).
step(2906 is 5812 // 2, builtin, [], []).
step(collatz(2906, [2906, 1453, 4360, 2180, 1090, 545, 1636, 818, 409, 1228, 614, 307, 922, 461, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 2906,
      'J' = [1453, 4360, 2180, 1090, 545, 1636, 818, 409, 1228, 614, 307, 922, 461, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1453],
     [2906 > 1,
      0 is 2906 mod 2,
      1453 is 2906 // 2,
      collatz(1453, [1453, 4360, 2180, 1090, 545, 1636, 818, 409, 1228, 614, 307, 922, 461, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2906 > 1, builtin, [], []).
step(0 is 2906 mod 2, builtin, [], []).
step(1453 is 2906 // 2, builtin, [], []).
step(collatz(1453, [1453, 4360, 2180, 1090, 545, 1636, 818, 409, 1228, 614, 307, 922, 461, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 1453,
      'J' = [4360, 2180, 1090, 545, 1636, 818, 409, 1228, 614, 307, 922, 461, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 4359,
      'N1' = 4360],
     [1453 > 1,
      1 is 1453 mod 2,
      4359 is 3 * 1453,
      4360 is 4359 + 1,
      collatz(4360, [4360, 2180, 1090, 545, 1636, 818, 409, 1228, 614, 307, 922, 461, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1453 > 1, builtin, [], []).
step(1 is 1453 mod 2, builtin, [], []).
step(4359 is 3 * 1453, builtin, [], []).
step(4360 is 4359 + 1, builtin, [], []).
step(collatz(4360, [4360, 2180, 1090, 545, 1636, 818, 409, 1228, 614, 307, 922, 461, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 4360,
      'J' = [2180, 1090, 545, 1636, 818, 409, 1228, 614, 307, 922, 461, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 2180],
     [4360 > 1,
      0 is 4360 mod 2,
      2180 is 4360 // 2,
      collatz(2180, [2180, 1090, 545, 1636, 818, 409, 1228, 614, 307, 922, 461, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(4360 > 1, builtin, [], []).
step(0 is 4360 mod 2, builtin, [], []).
step(2180 is 4360 // 2, builtin, [], []).
step(collatz(2180, [2180, 1090, 545, 1636, 818, 409, 1228, 614, 307, 922, 461, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 2180,
      'J' = [1090, 545, 1636, 818, 409, 1228, 614, 307, 922, 461, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1090],
     [2180 > 1,
      0 is 2180 mod 2,
      1090 is 2180 // 2,
      collatz(1090, [1090, 545, 1636, 818, 409, 1228, 614, 307, 922, 461, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2180 > 1, builtin, [], []).
step(0 is 2180 mod 2, builtin, [], []).
step(1090 is 2180 // 2, builtin, [], []).
step(collatz(1090, [1090, 545, 1636, 818, 409, 1228, 614, 307, 922, 461, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1090,
      'J' = [545, 1636, 818, 409, 1228, 614, 307, 922, 461, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 545],
     [1090 > 1,
      0 is 1090 mod 2,
      545 is 1090 // 2,
      collatz(545, [545, 1636, 818, 409, 1228, 614, 307, 922, 461, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1090 > 1, builtin, [], []).
step(0 is 1090 mod 2, builtin, [], []).
step(545 is 1090 // 2, builtin, [], []).
step(collatz(545, [545, 1636, 818, 409, 1228, 614, 307, 922, 461, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 545,
      'J' = [1636, 818, 409, 1228, 614, 307, 922, 461, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 1635,
      'N1' = 1636],
     [545 > 1,
      1 is 545 mod 2,
      1635 is 3 * 545,
      1636 is 1635 + 1,
      collatz(1636, [1636, 818, 409, 1228, 614, 307, 922, 461, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(545 > 1, builtin, [], []).
step(1 is 545 mod 2, builtin, [], []).
step(1635 is 3 * 545, builtin, [], []).
step(1636 is 1635 + 1, builtin, [], []).
step(collatz(1636, [1636, 818, 409, 1228, 614, 307, 922, 461, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1636,
      'J' = [818, 409, 1228, 614, 307, 922, 461, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 818],
     [1636 > 1,
      0 is 1636 mod 2,
      818 is 1636 // 2,
      collatz(818, [818, 409, 1228, 614, 307, 922, 461, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1636 > 1, builtin, [], []).
step(0 is 1636 mod 2, builtin, [], []).
step(818 is 1636 // 2, builtin, [], []).
step(collatz(818, [818, 409, 1228, 614, 307, 922, 461, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 818,
      'J' = [409, 1228, 614, 307, 922, 461, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 409],
     [818 > 1,
      0 is 818 mod 2,
      409 is 818 // 2,
      collatz(409, [409, 1228, 614, 307, 922, 461, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(818 > 1, builtin, [], []).
step(0 is 818 mod 2, builtin, [], []).
step(409 is 818 // 2, builtin, [], []).
step(collatz(409, [409, 1228, 614, 307, 922, 461, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 409,
      'J' = [1228, 614, 307, 922, 461, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 1227,
      'N1' = 1228],
     [409 > 1,
      1 is 409 mod 2,
      1227 is 3 * 409,
      1228 is 1227 + 1,
      collatz(1228, [1228, 614, 307, 922, 461, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(409 > 1, builtin, [], []).
step(1 is 409 mod 2, builtin, [], []).
step(1227 is 3 * 409, builtin, [], []).
step(1228 is 1227 + 1, builtin, [], []).
step(collatzTrajectory(904, [904, 452, 226, 113, 340, 170, 85, 256, 128, 64, 32, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 904,
      'M' = [904, 452, 226, 113, 340, 170, 85, 256, 128, 64, 32, 16, 8, 4, 2, 1],
      'N0' = 96],
     [repeat(1000, 96),
      904 is 1000 - 96,
      collatz(904, [904, 452, 226, 113, 340, 170, 85, 256, 128, 64, 32, 16, 8, 4, 2, 1])]).
step(repeat(1000, 96),
     rule(3),
     ['N' = 1000, 'I' = 96, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 96)]).
step(between(0, 999, 96), builtin, [], []).
step(904 is 1000 - 96, builtin, [], []).
step(collatzTrajectory(903, [903, 2710, 1355, 4066, 2033, 6100, 3050, 1525, 4576, 2288, 1144, 572, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 903,
      'M' = [903, 2710, 1355, 4066, 2033, 6100, 3050, 1525, 4576, 2288, 1144, 572, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 97],
     [repeat(1000, 97),
      903 is 1000 - 97,
      collatz(903, [903, 2710, 1355, 4066, 2033, 6100, 3050, 1525, 4576, 2288, 1144, 572, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 97),
     rule(3),
     ['N' = 1000, 'I' = 97, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 97)]).
step(between(0, 999, 97), builtin, [], []).
step(903 is 1000 - 97, builtin, [], []).
step(collatz(903, [903, 2710, 1355, 4066, 2033, 6100, 3050, 1525, 4576, 2288, 1144, 572, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 903,
      'J' = [2710, 1355, 4066, 2033, 6100, 3050, 1525, 4576, 2288, 1144, 572, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 2709,
      'N1' = 2710],
     [903 > 1,
      1 is 903 mod 2,
      2709 is 3 * 903,
      2710 is 2709 + 1,
      collatz(2710, [2710, 1355, 4066, 2033, 6100, 3050, 1525, 4576, 2288, 1144, 572, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(903 > 1, builtin, [], []).
step(1 is 903 mod 2, builtin, [], []).
step(2709 is 3 * 903, builtin, [], []).
step(2710 is 2709 + 1, builtin, [], []).
step(collatz(2710, [2710, 1355, 4066, 2033, 6100, 3050, 1525, 4576, 2288, 1144, 572, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 2710,
      'J' = [1355, 4066, 2033, 6100, 3050, 1525, 4576, 2288, 1144, 572, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1355],
     [2710 > 1,
      0 is 2710 mod 2,
      1355 is 2710 // 2,
      collatz(1355, [1355, 4066, 2033, 6100, 3050, 1525, 4576, 2288, 1144, 572, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2710 > 1, builtin, [], []).
step(0 is 2710 mod 2, builtin, [], []).
step(1355 is 2710 // 2, builtin, [], []).
step(collatz(1355, [1355, 4066, 2033, 6100, 3050, 1525, 4576, 2288, 1144, 572, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 1355,
      'J' = [4066, 2033, 6100, 3050, 1525, 4576, 2288, 1144, 572, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 4065,
      'N1' = 4066],
     [1355 > 1,
      1 is 1355 mod 2,
      4065 is 3 * 1355,
      4066 is 4065 + 1,
      collatz(4066, [4066, 2033, 6100, 3050, 1525, 4576, 2288, 1144, 572, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1355 > 1, builtin, [], []).
step(1 is 1355 mod 2, builtin, [], []).
step(4065 is 3 * 1355, builtin, [], []).
step(4066 is 4065 + 1, builtin, [], []).
step(collatz(4066, [4066, 2033, 6100, 3050, 1525, 4576, 2288, 1144, 572, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 4066,
      'J' = [2033, 6100, 3050, 1525, 4576, 2288, 1144, 572, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 2033],
     [4066 > 1,
      0 is 4066 mod 2,
      2033 is 4066 // 2,
      collatz(2033, [2033, 6100, 3050, 1525, 4576, 2288, 1144, 572, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(4066 > 1, builtin, [], []).
step(0 is 4066 mod 2, builtin, [], []).
step(2033 is 4066 // 2, builtin, [], []).
step(collatz(2033, [2033, 6100, 3050, 1525, 4576, 2288, 1144, 572, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 2033,
      'J' = [6100, 3050, 1525, 4576, 2288, 1144, 572, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 6099,
      'N1' = 6100],
     [2033 > 1,
      1 is 2033 mod 2,
      6099 is 3 * 2033,
      6100 is 6099 + 1,
      collatz(6100, [6100, 3050, 1525, 4576, 2288, 1144, 572, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2033 > 1, builtin, [], []).
step(1 is 2033 mod 2, builtin, [], []).
step(6099 is 3 * 2033, builtin, [], []).
step(6100 is 6099 + 1, builtin, [], []).
step(collatz(6100, [6100, 3050, 1525, 4576, 2288, 1144, 572, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 6100,
      'J' = [3050, 1525, 4576, 2288, 1144, 572, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 3050],
     [6100 > 1,
      0 is 6100 mod 2,
      3050 is 6100 // 2,
      collatz(3050, [3050, 1525, 4576, 2288, 1144, 572, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(6100 > 1, builtin, [], []).
step(0 is 6100 mod 2, builtin, [], []).
step(3050 is 6100 // 2, builtin, [], []).
step(collatz(3050, [3050, 1525, 4576, 2288, 1144, 572, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 3050,
      'J' = [1525, 4576, 2288, 1144, 572, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1525],
     [3050 > 1,
      0 is 3050 mod 2,
      1525 is 3050 // 2,
      collatz(1525, [1525, 4576, 2288, 1144, 572, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(3050 > 1, builtin, [], []).
step(0 is 3050 mod 2, builtin, [], []).
step(1525 is 3050 // 2, builtin, [], []).
step(collatz(1525, [1525, 4576, 2288, 1144, 572, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 1525,
      'J' = [4576, 2288, 1144, 572, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 4575,
      'N1' = 4576],
     [1525 > 1,
      1 is 1525 mod 2,
      4575 is 3 * 1525,
      4576 is 4575 + 1,
      collatz(4576, [4576, 2288, 1144, 572, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1525 > 1, builtin, [], []).
step(1 is 1525 mod 2, builtin, [], []).
step(4575 is 3 * 1525, builtin, [], []).
step(4576 is 4575 + 1, builtin, [], []).
step(collatz(4576, [4576, 2288, 1144, 572, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 4576,
      'J' = [2288, 1144, 572, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 2288],
     [4576 > 1,
      0 is 4576 mod 2,
      2288 is 4576 // 2,
      collatz(2288, [2288, 1144, 572, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(4576 > 1, builtin, [], []).
step(0 is 4576 mod 2, builtin, [], []).
step(2288 is 4576 // 2, builtin, [], []).
step(collatz(2288, [2288, 1144, 572, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 2288,
      'J' = [1144, 572, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1144],
     [2288 > 1,
      0 is 2288 mod 2,
      1144 is 2288 // 2,
      collatz(1144, [1144, 572, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2288 > 1, builtin, [], []).
step(0 is 2288 mod 2, builtin, [], []).
step(1144 is 2288 // 2, builtin, [], []).
step(collatz(1144, [1144, 572, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1144,
      'J' = [572, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 572],
     [1144 > 1,
      0 is 1144 mod 2,
      572 is 1144 // 2,
      collatz(572, [572, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1144 > 1, builtin, [], []).
step(0 is 1144 mod 2, builtin, [], []).
step(572 is 1144 // 2, builtin, [], []).
step(collatz(572, [572, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 572,
      'J' = [286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 286],
     [572 > 1,
      0 is 572 mod 2,
      286 is 572 // 2,
      collatz(286, [286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(572 > 1, builtin, [], []).
step(0 is 572 mod 2, builtin, [], []).
step(286 is 572 // 2, builtin, [], []).
step(collatzTrajectory(902, [902, 451, 1354, 677, 2032, 1016, 508, 254, 127, 382, 191, 574, 287, 862, 431, 1294, 647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 902,
      'M' = [902, 451, 1354, 677, 2032, 1016, 508, 254, 127, 382, 191, 574, 287, 862, 431, 1294, 647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 98],
     [repeat(1000, 98),
      902 is 1000 - 98,
      collatz(902, [902, 451, 1354, 677, 2032, 1016, 508, 254, 127, 382, 191, 574, 287, 862, 431, 1294, 647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 98),
     rule(3),
     ['N' = 1000, 'I' = 98, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 98)]).
step(between(0, 999, 98), builtin, [], []).
step(902 is 1000 - 98, builtin, [], []).
step(collatz(902, [902, 451, 1354, 677, 2032, 1016, 508, 254, 127, 382, 191, 574, 287, 862, 431, 1294, 647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 902,
      'J' = [451, 1354, 677, 2032, 1016, 508, 254, 127, 382, 191, 574, 287, 862, 431, 1294, 647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 451],
     [902 > 1,
      0 is 902 mod 2,
      451 is 902 // 2,
      collatz(451, [451, 1354, 677, 2032, 1016, 508, 254, 127, 382, 191, 574, 287, 862, 431, 1294, 647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(902 > 1, builtin, [], []).
step(0 is 902 mod 2, builtin, [], []).
step(451 is 902 // 2, builtin, [], []).
step(collatz(451, [451, 1354, 677, 2032, 1016, 508, 254, 127, 382, 191, 574, 287, 862, 431, 1294, 647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 451,
      'J' = [1354, 677, 2032, 1016, 508, 254, 127, 382, 191, 574, 287, 862, 431, 1294, 647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 1353,
      'N1' = 1354],
     [451 > 1,
      1 is 451 mod 2,
      1353 is 3 * 451,
      1354 is 1353 + 1,
      collatz(1354, [1354, 677, 2032, 1016, 508, 254, 127, 382, 191, 574, 287, 862, 431, 1294, 647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(451 > 1, builtin, [], []).
step(1 is 451 mod 2, builtin, [], []).
step(1353 is 3 * 451, builtin, [], []).
step(1354 is 1353 + 1, builtin, [], []).
step(collatz(1354, [1354, 677, 2032, 1016, 508, 254, 127, 382, 191, 574, 287, 862, 431, 1294, 647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1354,
      'J' = [677, 2032, 1016, 508, 254, 127, 382, 191, 574, 287, 862, 431, 1294, 647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 677],
     [1354 > 1,
      0 is 1354 mod 2,
      677 is 1354 // 2,
      collatz(677, [677, 2032, 1016, 508, 254, 127, 382, 191, 574, 287, 862, 431, 1294, 647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1354 > 1, builtin, [], []).
step(0 is 1354 mod 2, builtin, [], []).
step(677 is 1354 // 2, builtin, [], []).
step(collatz(677, [677, 2032, 1016, 508, 254, 127, 382, 191, 574, 287, 862, 431, 1294, 647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 677,
      'J' = [2032, 1016, 508, 254, 127, 382, 191, 574, 287, 862, 431, 1294, 647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 2031,
      'N1' = 2032],
     [677 > 1,
      1 is 677 mod 2,
      2031 is 3 * 677,
      2032 is 2031 + 1,
      collatz(2032, [2032, 1016, 508, 254, 127, 382, 191, 574, 287, 862, 431, 1294, 647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(677 > 1, builtin, [], []).
step(1 is 677 mod 2, builtin, [], []).
step(2031 is 3 * 677, builtin, [], []).
step(2032 is 2031 + 1, builtin, [], []).
step(collatz(2032, [2032, 1016, 508, 254, 127, 382, 191, 574, 287, 862, 431, 1294, 647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 2032,
      'J' = [1016, 508, 254, 127, 382, 191, 574, 287, 862, 431, 1294, 647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1016],
     [2032 > 1,
      0 is 2032 mod 2,
      1016 is 2032 // 2,
      collatz(1016, [1016, 508, 254, 127, 382, 191, 574, 287, 862, 431, 1294, 647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2032 > 1, builtin, [], []).
step(0 is 2032 mod 2, builtin, [], []).
step(1016 is 2032 // 2, builtin, [], []).
step(collatz(1016, [1016, 508, 254, 127, 382, 191, 574, 287, 862, 431, 1294, 647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1016,
      'J' = [508, 254, 127, 382, 191, 574, 287, 862, 431, 1294, 647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 508],
     [1016 > 1,
      0 is 1016 mod 2,
      508 is 1016 // 2,
      collatz(508, [508, 254, 127, 382, 191, 574, 287, 862, 431, 1294, 647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1016 > 1, builtin, [], []).
step(0 is 1016 mod 2, builtin, [], []).
step(508 is 1016 // 2, builtin, [], []).
step(collatz(508, [508, 254, 127, 382, 191, 574, 287, 862, 431, 1294, 647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 508,
      'J' = [254, 127, 382, 191, 574, 287, 862, 431, 1294, 647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 254],
     [508 > 1,
      0 is 508 mod 2,
      254 is 508 // 2,
      collatz(254, [254, 127, 382, 191, 574, 287, 862, 431, 1294, 647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(508 > 1, builtin, [], []).
step(0 is 508 mod 2, builtin, [], []).
step(254 is 508 // 2, builtin, [], []).
step(collatz(254, [254, 127, 382, 191, 574, 287, 862, 431, 1294, 647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 254,
      'J' = [127, 382, 191, 574, 287, 862, 431, 1294, 647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 127],
     [254 > 1,
      0 is 254 mod 2,
      127 is 254 // 2,
      collatz(127, [127, 382, 191, 574, 287, 862, 431, 1294, 647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(254 > 1, builtin, [], []).
step(0 is 254 mod 2, builtin, [], []).
step(127 is 254 // 2, builtin, [], []).
step(collatz(127, [127, 382, 191, 574, 287, 862, 431, 1294, 647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 127,
      'J' = [382, 191, 574, 287, 862, 431, 1294, 647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 381,
      'N1' = 382],
     [127 > 1,
      1 is 127 mod 2,
      381 is 3 * 127,
      382 is 381 + 1,
      collatz(382, [382, 191, 574, 287, 862, 431, 1294, 647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(127 > 1, builtin, [], []).
step(1 is 127 mod 2, builtin, [], []).
step(381 is 3 * 127, builtin, [], []).
step(382 is 381 + 1, builtin, [], []).
step(collatz(382, [382, 191, 574, 287, 862, 431, 1294, 647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 382,
      'J' = [191, 574, 287, 862, 431, 1294, 647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 191],
     [382 > 1,
      0 is 382 mod 2,
      191 is 382 // 2,
      collatz(191, [191, 574, 287, 862, 431, 1294, 647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(382 > 1, builtin, [], []).
step(0 is 382 mod 2, builtin, [], []).
step(191 is 382 // 2, builtin, [], []).
step(collatz(191, [191, 574, 287, 862, 431, 1294, 647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 191,
      'J' = [574, 287, 862, 431, 1294, 647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 573,
      'N1' = 574],
     [191 > 1,
      1 is 191 mod 2,
      573 is 3 * 191,
      574 is 573 + 1,
      collatz(574, [574, 287, 862, 431, 1294, 647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(191 > 1, builtin, [], []).
step(1 is 191 mod 2, builtin, [], []).
step(573 is 3 * 191, builtin, [], []).
step(574 is 573 + 1, builtin, [], []).
step(collatz(574, [574, 287, 862, 431, 1294, 647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 574,
      'J' = [287, 862, 431, 1294, 647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 287],
     [574 > 1,
      0 is 574 mod 2,
      287 is 574 // 2,
      collatz(287, [287, 862, 431, 1294, 647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(574 > 1, builtin, [], []).
step(0 is 574 mod 2, builtin, [], []).
step(287 is 574 // 2, builtin, [], []).
step(collatz(287, [287, 862, 431, 1294, 647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 287,
      'J' = [862, 431, 1294, 647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 861,
      'N1' = 862],
     [287 > 1,
      1 is 287 mod 2,
      861 is 3 * 287,
      862 is 861 + 1,
      collatz(862, [862, 431, 1294, 647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(287 > 1, builtin, [], []).
step(1 is 287 mod 2, builtin, [], []).
step(861 is 3 * 287, builtin, [], []).
step(862 is 861 + 1, builtin, [], []).
step(collatz(862, [862, 431, 1294, 647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 862,
      'J' = [431, 1294, 647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 431],
     [862 > 1,
      0 is 862 mod 2,
      431 is 862 // 2,
      collatz(431, [431, 1294, 647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(862 > 1, builtin, [], []).
step(0 is 862 mod 2, builtin, [], []).
step(431 is 862 // 2, builtin, [], []).
step(collatz(431, [431, 1294, 647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 431,
      'J' = [1294, 647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 1293,
      'N1' = 1294],
     [431 > 1,
      1 is 431 mod 2,
      1293 is 3 * 431,
      1294 is 1293 + 1,
      collatz(1294, [1294, 647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(431 > 1, builtin, [], []).
step(1 is 431 mod 2, builtin, [], []).
step(1293 is 3 * 431, builtin, [], []).
step(1294 is 1293 + 1, builtin, [], []).
step(collatz(1294, [1294, 647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1294,
      'J' = [647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 647],
     [1294 > 1,
      0 is 1294 mod 2,
      647 is 1294 // 2,
      collatz(647, [647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1294 > 1, builtin, [], []).
step(0 is 1294 mod 2, builtin, [], []).
step(647 is 1294 // 2, builtin, [], []).
step(collatz(647, [647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 647,
      'J' = [1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 1941,
      'N1' = 1942],
     [647 > 1,
      1 is 647 mod 2,
      1941 is 3 * 647,
      1942 is 1941 + 1,
      collatz(1942, [1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(647 > 1, builtin, [], []).
step(1 is 647 mod 2, builtin, [], []).
step(1941 is 3 * 647, builtin, [], []).
step(1942 is 1941 + 1, builtin, [], []).
step(collatz(1942, [1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1942,
      'J' = [971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 971],
     [1942 > 1,
      0 is 1942 mod 2,
      971 is 1942 // 2,
      collatz(971, [971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1942 > 1, builtin, [], []).
step(0 is 1942 mod 2, builtin, [], []).
step(971 is 1942 // 2, builtin, [], []).
step(collatzTrajectory(901, [901, 2704, 1352, 676, 338, 169, 508, 254, 127, 382, 191, 574, 287, 862, 431, 1294, 647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 901,
      'M' = [901, 2704, 1352, 676, 338, 169, 508, 254, 127, 382, 191, 574, 287, 862, 431, 1294, 647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 99],
     [repeat(1000, 99),
      901 is 1000 - 99,
      collatz(901, [901, 2704, 1352, 676, 338, 169, 508, 254, 127, 382, 191, 574, 287, 862, 431, 1294, 647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 99),
     rule(3),
     ['N' = 1000, 'I' = 99, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 99)]).
step(between(0, 999, 99), builtin, [], []).
step(901 is 1000 - 99, builtin, [], []).
step(collatz(901, [901, 2704, 1352, 676, 338, 169, 508, 254, 127, 382, 191, 574, 287, 862, 431, 1294, 647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 901,
      'J' = [2704, 1352, 676, 338, 169, 508, 254, 127, 382, 191, 574, 287, 862, 431, 1294, 647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 2703,
      'N1' = 2704],
     [901 > 1,
      1 is 901 mod 2,
      2703 is 3 * 901,
      2704 is 2703 + 1,
      collatz(2704, [2704, 1352, 676, 338, 169, 508, 254, 127, 382, 191, 574, 287, 862, 431, 1294, 647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(901 > 1, builtin, [], []).
step(1 is 901 mod 2, builtin, [], []).
step(2703 is 3 * 901, builtin, [], []).
step(2704 is 2703 + 1, builtin, [], []).
step(collatz(2704, [2704, 1352, 676, 338, 169, 508, 254, 127, 382, 191, 574, 287, 862, 431, 1294, 647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 2704,
      'J' = [1352, 676, 338, 169, 508, 254, 127, 382, 191, 574, 287, 862, 431, 1294, 647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1352],
     [2704 > 1,
      0 is 2704 mod 2,
      1352 is 2704 // 2,
      collatz(1352, [1352, 676, 338, 169, 508, 254, 127, 382, 191, 574, 287, 862, 431, 1294, 647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2704 > 1, builtin, [], []).
step(0 is 2704 mod 2, builtin, [], []).
step(1352 is 2704 // 2, builtin, [], []).
step(collatz(1352, [1352, 676, 338, 169, 508, 254, 127, 382, 191, 574, 287, 862, 431, 1294, 647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1352,
      'J' = [676, 338, 169, 508, 254, 127, 382, 191, 574, 287, 862, 431, 1294, 647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 676],
     [1352 > 1,
      0 is 1352 mod 2,
      676 is 1352 // 2,
      collatz(676, [676, 338, 169, 508, 254, 127, 382, 191, 574, 287, 862, 431, 1294, 647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1352 > 1, builtin, [], []).
step(0 is 1352 mod 2, builtin, [], []).
step(676 is 1352 // 2, builtin, [], []).
step(collatz(676, [676, 338, 169, 508, 254, 127, 382, 191, 574, 287, 862, 431, 1294, 647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 676,
      'J' = [338, 169, 508, 254, 127, 382, 191, 574, 287, 862, 431, 1294, 647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 338],
     [676 > 1,
      0 is 676 mod 2,
      338 is 676 // 2,
      collatz(338, [338, 169, 508, 254, 127, 382, 191, 574, 287, 862, 431, 1294, 647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(676 > 1, builtin, [], []).
step(0 is 676 mod 2, builtin, [], []).
step(338 is 676 // 2, builtin, [], []).
step(collatz(338, [338, 169, 508, 254, 127, 382, 191, 574, 287, 862, 431, 1294, 647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 338,
      'J' = [169, 508, 254, 127, 382, 191, 574, 287, 862, 431, 1294, 647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 169],
     [338 > 1,
      0 is 338 mod 2,
      169 is 338 // 2,
      collatz(169, [169, 508, 254, 127, 382, 191, 574, 287, 862, 431, 1294, 647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(338 > 1, builtin, [], []).
step(0 is 338 mod 2, builtin, [], []).
step(169 is 338 // 2, builtin, [], []).
step(collatz(169, [169, 508, 254, 127, 382, 191, 574, 287, 862, 431, 1294, 647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 169,
      'J' = [508, 254, 127, 382, 191, 574, 287, 862, 431, 1294, 647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 507,
      'N1' = 508],
     [169 > 1,
      1 is 169 mod 2,
      507 is 3 * 169,
      508 is 507 + 1,
      collatz(508, [508, 254, 127, 382, 191, 574, 287, 862, 431, 1294, 647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(169 > 1, builtin, [], []).
step(1 is 169 mod 2, builtin, [], []).
step(507 is 3 * 169, builtin, [], []).
step(508 is 507 + 1, builtin, [], []).
step(collatzTrajectory(900, [900, 450, 225, 676, 338, 169, 508, 254, 127, 382, 191, 574, 287, 862, 431, 1294, 647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 900,
      'M' = [900, 450, 225, 676, 338, 169, 508, 254, 127, 382, 191, 574, 287, 862, 431, 1294, 647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 100],
     [repeat(1000, 100),
      900 is 1000 - 100,
      collatz(900, [900, 450, 225, 676, 338, 169, 508, 254, 127, 382, 191, 574, 287, 862, 431, 1294, 647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 100),
     rule(3),
     ['N' = 1000, 'I' = 100, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 100)]).
step(between(0, 999, 100), builtin, [], []).
step(900 is 1000 - 100, builtin, [], []).
step(collatz(900, [900, 450, 225, 676, 338, 169, 508, 254, 127, 382, 191, 574, 287, 862, 431, 1294, 647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 900,
      'J' = [450, 225, 676, 338, 169, 508, 254, 127, 382, 191, 574, 287, 862, 431, 1294, 647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 450],
     [900 > 1,
      0 is 900 mod 2,
      450 is 900 // 2,
      collatz(450, [450, 225, 676, 338, 169, 508, 254, 127, 382, 191, 574, 287, 862, 431, 1294, 647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(900 > 1, builtin, [], []).
step(0 is 900 mod 2, builtin, [], []).
step(450 is 900 // 2, builtin, [], []).
step(collatz(450, [450, 225, 676, 338, 169, 508, 254, 127, 382, 191, 574, 287, 862, 431, 1294, 647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 450,
      'J' = [225, 676, 338, 169, 508, 254, 127, 382, 191, 574, 287, 862, 431, 1294, 647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 225],
     [450 > 1,
      0 is 450 mod 2,
      225 is 450 // 2,
      collatz(225, [225, 676, 338, 169, 508, 254, 127, 382, 191, 574, 287, 862, 431, 1294, 647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(450 > 1, builtin, [], []).
step(0 is 450 mod 2, builtin, [], []).
step(225 is 450 // 2, builtin, [], []).
step(collatz(225, [225, 676, 338, 169, 508, 254, 127, 382, 191, 574, 287, 862, 431, 1294, 647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 225,
      'J' = [676, 338, 169, 508, 254, 127, 382, 191, 574, 287, 862, 431, 1294, 647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 675,
      'N1' = 676],
     [225 > 1,
      1 is 225 mod 2,
      675 is 3 * 225,
      676 is 675 + 1,
      collatz(676, [676, 338, 169, 508, 254, 127, 382, 191, 574, 287, 862, 431, 1294, 647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(225 > 1, builtin, [], []).
step(1 is 225 mod 2, builtin, [], []).
step(675 is 3 * 225, builtin, [], []).
step(676 is 675 + 1, builtin, [], []).
step(collatzTrajectory(899, [899, 2698, 1349, 4048, 2024, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 899,
      'M' = [899, 2698, 1349, 4048, 2024, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 101],
     [repeat(1000, 101),
      899 is 1000 - 101,
      collatz(899, [899, 2698, 1349, 4048, 2024, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 101),
     rule(3),
     ['N' = 1000, 'I' = 101, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 101)]).
step(between(0, 999, 101), builtin, [], []).
step(899 is 1000 - 101, builtin, [], []).
step(collatz(899, [899, 2698, 1349, 4048, 2024, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 899,
      'J' = [2698, 1349, 4048, 2024, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 2697,
      'N1' = 2698],
     [899 > 1,
      1 is 899 mod 2,
      2697 is 3 * 899,
      2698 is 2697 + 1,
      collatz(2698, [2698, 1349, 4048, 2024, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(899 > 1, builtin, [], []).
step(1 is 899 mod 2, builtin, [], []).
step(2697 is 3 * 899, builtin, [], []).
step(2698 is 2697 + 1, builtin, [], []).
step(collatz(2698, [2698, 1349, 4048, 2024, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 2698,
      'J' = [1349, 4048, 2024, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1349],
     [2698 > 1,
      0 is 2698 mod 2,
      1349 is 2698 // 2,
      collatz(1349, [1349, 4048, 2024, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2698 > 1, builtin, [], []).
step(0 is 2698 mod 2, builtin, [], []).
step(1349 is 2698 // 2, builtin, [], []).
step(collatz(1349, [1349, 4048, 2024, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 1349,
      'J' = [4048, 2024, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 4047,
      'N1' = 4048],
     [1349 > 1,
      1 is 1349 mod 2,
      4047 is 3 * 1349,
      4048 is 4047 + 1,
      collatz(4048, [4048, 2024, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1349 > 1, builtin, [], []).
step(1 is 1349 mod 2, builtin, [], []).
step(4047 is 3 * 1349, builtin, [], []).
step(4048 is 4047 + 1, builtin, [], []).
step(collatz(4048, [4048, 2024, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 4048,
      'J' = [2024, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 2024],
     [4048 > 1,
      0 is 4048 mod 2,
      2024 is 4048 // 2,
      collatz(2024, [2024, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(4048 > 1, builtin, [], []).
step(0 is 4048 mod 2, builtin, [], []).
step(2024 is 4048 // 2, builtin, [], []).
step(collatz(2024, [2024, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 2024,
      'J' = [1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1012],
     [2024 > 1,
      0 is 2024 mod 2,
      1012 is 2024 // 2,
      collatz(1012, [1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2024 > 1, builtin, [], []).
step(0 is 2024 mod 2, builtin, [], []).
step(1012 is 2024 // 2, builtin, [], []).
step(collatzTrajectory(898, [898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 898,
      'M' = [898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 102],
     [repeat(1000, 102),
      898 is 1000 - 102,
      collatz(898, [898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 102),
     rule(3),
     ['N' = 1000, 'I' = 102, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 102)]).
step(between(0, 999, 102), builtin, [], []).
step(898 is 1000 - 102, builtin, [], []).
step(collatzTrajectory(897, [897, 2692, 1346, 673, 2020, 1010, 505, 1516, 758, 379, 1138, 569, 1708, 854, 427, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 897,
      'M' = [897, 2692, 1346, 673, 2020, 1010, 505, 1516, 758, 379, 1138, 569, 1708, 854, 427, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 103],
     [repeat(1000, 103),
      897 is 1000 - 103,
      collatz(897, [897, 2692, 1346, 673, 2020, 1010, 505, 1516, 758, 379, 1138, 569, 1708, 854, 427, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 103),
     rule(3),
     ['N' = 1000, 'I' = 103, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 103)]).
step(between(0, 999, 103), builtin, [], []).
step(897 is 1000 - 103, builtin, [], []).
step(collatz(897, [897, 2692, 1346, 673, 2020, 1010, 505, 1516, 758, 379, 1138, 569, 1708, 854, 427, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 897,
      'J' = [2692, 1346, 673, 2020, 1010, 505, 1516, 758, 379, 1138, 569, 1708, 854, 427, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 2691,
      'N1' = 2692],
     [897 > 1,
      1 is 897 mod 2,
      2691 is 3 * 897,
      2692 is 2691 + 1,
      collatz(2692, [2692, 1346, 673, 2020, 1010, 505, 1516, 758, 379, 1138, 569, 1708, 854, 427, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(897 > 1, builtin, [], []).
step(1 is 897 mod 2, builtin, [], []).
step(2691 is 3 * 897, builtin, [], []).
step(2692 is 2691 + 1, builtin, [], []).
step(collatz(2692, [2692, 1346, 673, 2020, 1010, 505, 1516, 758, 379, 1138, 569, 1708, 854, 427, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 2692,
      'J' = [1346, 673, 2020, 1010, 505, 1516, 758, 379, 1138, 569, 1708, 854, 427, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1346],
     [2692 > 1,
      0 is 2692 mod 2,
      1346 is 2692 // 2,
      collatz(1346, [1346, 673, 2020, 1010, 505, 1516, 758, 379, 1138, 569, 1708, 854, 427, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2692 > 1, builtin, [], []).
step(0 is 2692 mod 2, builtin, [], []).
step(1346 is 2692 // 2, builtin, [], []).
step(collatz(1346, [1346, 673, 2020, 1010, 505, 1516, 758, 379, 1138, 569, 1708, 854, 427, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1346,
      'J' = [673, 2020, 1010, 505, 1516, 758, 379, 1138, 569, 1708, 854, 427, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 673],
     [1346 > 1,
      0 is 1346 mod 2,
      673 is 1346 // 2,
      collatz(673, [673, 2020, 1010, 505, 1516, 758, 379, 1138, 569, 1708, 854, 427, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1346 > 1, builtin, [], []).
step(0 is 1346 mod 2, builtin, [], []).
step(673 is 1346 // 2, builtin, [], []).
step(collatz(673, [673, 2020, 1010, 505, 1516, 758, 379, 1138, 569, 1708, 854, 427, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 673,
      'J' = [2020, 1010, 505, 1516, 758, 379, 1138, 569, 1708, 854, 427, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 2019,
      'N1' = 2020],
     [673 > 1,
      1 is 673 mod 2,
      2019 is 3 * 673,
      2020 is 2019 + 1,
      collatz(2020, [2020, 1010, 505, 1516, 758, 379, 1138, 569, 1708, 854, 427, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(673 > 1, builtin, [], []).
step(1 is 673 mod 2, builtin, [], []).
step(2019 is 3 * 673, builtin, [], []).
step(2020 is 2019 + 1, builtin, [], []).
step(collatzTrajectory(896, [896, 448, 224, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 896,
      'M' = [896, 448, 224, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 104],
     [repeat(1000, 104),
      896 is 1000 - 104,
      collatz(896, [896, 448, 224, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 104),
     rule(3),
     ['N' = 1000, 'I' = 104, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 104)]).
step(between(0, 999, 104), builtin, [], []).
step(896 is 1000 - 104, builtin, [], []).
step(collatzTrajectory(895, [895, 2686, 1343, 4030, 2015, 6046, 3023, 9070, 4535, 13606, 6803, 20410, 10205, 30616, 15308, 7654, 3827, 11482, 5741, 17224, 8612, 4306, 2153, 6460, 3230, 1615, 4846, 2423, 7270, 3635, 10906, 5453, 16360, 8180, 4090, 2045, 6136, 3068, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 895,
      'M' = [895, 2686, 1343, 4030, 2015, 6046, 3023, 9070, 4535, 13606, 6803, 20410, 10205, 30616, 15308, 7654, 3827, 11482, 5741, 17224, 8612, 4306, 2153, 6460, 3230, 1615, 4846, 2423, 7270, 3635, 10906, 5453, 16360, 8180, 4090, 2045, 6136, 3068, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 105],
     [repeat(1000, 105),
      895 is 1000 - 105,
      collatz(895, [895, 2686, 1343, 4030, 2015, 6046, 3023, 9070, 4535, 13606, 6803, 20410, 10205, 30616, 15308, 7654, 3827, 11482, 5741, 17224, 8612, 4306, 2153, 6460, 3230, 1615, 4846, 2423, 7270, 3635, 10906, 5453, 16360, 8180, 4090, 2045, 6136, 3068, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 105),
     rule(3),
     ['N' = 1000, 'I' = 105, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 105)]).
step(between(0, 999, 105), builtin, [], []).
step(895 is 1000 - 105, builtin, [], []).
step(collatz(895, [895, 2686, 1343, 4030, 2015, 6046, 3023, 9070, 4535, 13606, 6803, 20410, 10205, 30616, 15308, 7654, 3827, 11482, 5741, 17224, 8612, 4306, 2153, 6460, 3230, 1615, 4846, 2423, 7270, 3635, 10906, 5453, 16360, 8180, 4090, 2045, 6136, 3068, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 895,
      'J' = [2686, 1343, 4030, 2015, 6046, 3023, 9070, 4535, 13606, 6803, 20410, 10205, 30616, 15308, 7654, 3827, 11482, 5741, 17224, 8612, 4306, 2153, 6460, 3230, 1615, 4846, 2423, 7270, 3635, 10906, 5453, 16360, 8180, 4090, 2045, 6136, 3068, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 2685,
      'N1' = 2686],
     [895 > 1,
      1 is 895 mod 2,
      2685 is 3 * 895,
      2686 is 2685 + 1,
      collatz(2686, [2686, 1343, 4030, 2015, 6046, 3023, 9070, 4535, 13606, 6803, 20410, 10205, 30616, 15308, 7654, 3827, 11482, 5741, 17224, 8612, 4306, 2153, 6460, 3230, 1615, 4846, 2423, 7270, 3635, 10906, 5453, 16360, 8180, 4090, 2045, 6136, 3068, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(895 > 1, builtin, [], []).
step(1 is 895 mod 2, builtin, [], []).
step(2685 is 3 * 895, builtin, [], []).
step(2686 is 2685 + 1, builtin, [], []).
step(collatz(2686, [2686, 1343, 4030, 2015, 6046, 3023, 9070, 4535, 13606, 6803, 20410, 10205, 30616, 15308, 7654, 3827, 11482, 5741, 17224, 8612, 4306, 2153, 6460, 3230, 1615, 4846, 2423, 7270, 3635, 10906, 5453, 16360, 8180, 4090, 2045, 6136, 3068, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 2686,
      'J' = [1343, 4030, 2015, 6046, 3023, 9070, 4535, 13606, 6803, 20410, 10205, 30616, 15308, 7654, 3827, 11482, 5741, 17224, 8612, 4306, 2153, 6460, 3230, 1615, 4846, 2423, 7270, 3635, 10906, 5453, 16360, 8180, 4090, 2045, 6136, 3068, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1343],
     [2686 > 1,
      0 is 2686 mod 2,
      1343 is 2686 // 2,
      collatz(1343, [1343, 4030, 2015, 6046, 3023, 9070, 4535, 13606, 6803, 20410, 10205, 30616, 15308, 7654, 3827, 11482, 5741, 17224, 8612, 4306, 2153, 6460, 3230, 1615, 4846, 2423, 7270, 3635, 10906, 5453, 16360, 8180, 4090, 2045, 6136, 3068, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2686 > 1, builtin, [], []).
step(0 is 2686 mod 2, builtin, [], []).
step(1343 is 2686 // 2, builtin, [], []).
step(collatz(1343, [1343, 4030, 2015, 6046, 3023, 9070, 4535, 13606, 6803, 20410, 10205, 30616, 15308, 7654, 3827, 11482, 5741, 17224, 8612, 4306, 2153, 6460, 3230, 1615, 4846, 2423, 7270, 3635, 10906, 5453, 16360, 8180, 4090, 2045, 6136, 3068, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 1343,
      'J' = [4030, 2015, 6046, 3023, 9070, 4535, 13606, 6803, 20410, 10205, 30616, 15308, 7654, 3827, 11482, 5741, 17224, 8612, 4306, 2153, 6460, 3230, 1615, 4846, 2423, 7270, 3635, 10906, 5453, 16360, 8180, 4090, 2045, 6136, 3068, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 4029,
      'N1' = 4030],
     [1343 > 1,
      1 is 1343 mod 2,
      4029 is 3 * 1343,
      4030 is 4029 + 1,
      collatz(4030, [4030, 2015, 6046, 3023, 9070, 4535, 13606, 6803, 20410, 10205, 30616, 15308, 7654, 3827, 11482, 5741, 17224, 8612, 4306, 2153, 6460, 3230, 1615, 4846, 2423, 7270, 3635, 10906, 5453, 16360, 8180, 4090, 2045, 6136, 3068, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1343 > 1, builtin, [], []).
step(1 is 1343 mod 2, builtin, [], []).
step(4029 is 3 * 1343, builtin, [], []).
step(4030 is 4029 + 1, builtin, [], []).
step(collatz(4030, [4030, 2015, 6046, 3023, 9070, 4535, 13606, 6803, 20410, 10205, 30616, 15308, 7654, 3827, 11482, 5741, 17224, 8612, 4306, 2153, 6460, 3230, 1615, 4846, 2423, 7270, 3635, 10906, 5453, 16360, 8180, 4090, 2045, 6136, 3068, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 4030,
      'J' = [2015, 6046, 3023, 9070, 4535, 13606, 6803, 20410, 10205, 30616, 15308, 7654, 3827, 11482, 5741, 17224, 8612, 4306, 2153, 6460, 3230, 1615, 4846, 2423, 7270, 3635, 10906, 5453, 16360, 8180, 4090, 2045, 6136, 3068, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 2015],
     [4030 > 1,
      0 is 4030 mod 2,
      2015 is 4030 // 2,
      collatz(2015, [2015, 6046, 3023, 9070, 4535, 13606, 6803, 20410, 10205, 30616, 15308, 7654, 3827, 11482, 5741, 17224, 8612, 4306, 2153, 6460, 3230, 1615, 4846, 2423, 7270, 3635, 10906, 5453, 16360, 8180, 4090, 2045, 6136, 3068, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(4030 > 1, builtin, [], []).
step(0 is 4030 mod 2, builtin, [], []).
step(2015 is 4030 // 2, builtin, [], []).
step(collatz(2015, [2015, 6046, 3023, 9070, 4535, 13606, 6803, 20410, 10205, 30616, 15308, 7654, 3827, 11482, 5741, 17224, 8612, 4306, 2153, 6460, 3230, 1615, 4846, 2423, 7270, 3635, 10906, 5453, 16360, 8180, 4090, 2045, 6136, 3068, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 2015,
      'J' = [6046, 3023, 9070, 4535, 13606, 6803, 20410, 10205, 30616, 15308, 7654, 3827, 11482, 5741, 17224, 8612, 4306, 2153, 6460, 3230, 1615, 4846, 2423, 7270, 3635, 10906, 5453, 16360, 8180, 4090, 2045, 6136, 3068, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 6045,
      'N1' = 6046],
     [2015 > 1,
      1 is 2015 mod 2,
      6045 is 3 * 2015,
      6046 is 6045 + 1,
      collatz(6046, [6046, 3023, 9070, 4535, 13606, 6803, 20410, 10205, 30616, 15308, 7654, 3827, 11482, 5741, 17224, 8612, 4306, 2153, 6460, 3230, 1615, 4846, 2423, 7270, 3635, 10906, 5453, 16360, 8180, 4090, 2045, 6136, 3068, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2015 > 1, builtin, [], []).
step(1 is 2015 mod 2, builtin, [], []).
step(6045 is 3 * 2015, builtin, [], []).
step(6046 is 6045 + 1, builtin, [], []).
step(collatz(6046, [6046, 3023, 9070, 4535, 13606, 6803, 20410, 10205, 30616, 15308, 7654, 3827, 11482, 5741, 17224, 8612, 4306, 2153, 6460, 3230, 1615, 4846, 2423, 7270, 3635, 10906, 5453, 16360, 8180, 4090, 2045, 6136, 3068, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 6046,
      'J' = [3023, 9070, 4535, 13606, 6803, 20410, 10205, 30616, 15308, 7654, 3827, 11482, 5741, 17224, 8612, 4306, 2153, 6460, 3230, 1615, 4846, 2423, 7270, 3635, 10906, 5453, 16360, 8180, 4090, 2045, 6136, 3068, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 3023],
     [6046 > 1,
      0 is 6046 mod 2,
      3023 is 6046 // 2,
      collatz(3023, [3023, 9070, 4535, 13606, 6803, 20410, 10205, 30616, 15308, 7654, 3827, 11482, 5741, 17224, 8612, 4306, 2153, 6460, 3230, 1615, 4846, 2423, 7270, 3635, 10906, 5453, 16360, 8180, 4090, 2045, 6136, 3068, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(6046 > 1, builtin, [], []).
step(0 is 6046 mod 2, builtin, [], []).
step(3023 is 6046 // 2, builtin, [], []).
step(collatz(3023, [3023, 9070, 4535, 13606, 6803, 20410, 10205, 30616, 15308, 7654, 3827, 11482, 5741, 17224, 8612, 4306, 2153, 6460, 3230, 1615, 4846, 2423, 7270, 3635, 10906, 5453, 16360, 8180, 4090, 2045, 6136, 3068, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 3023,
      'J' = [9070, 4535, 13606, 6803, 20410, 10205, 30616, 15308, 7654, 3827, 11482, 5741, 17224, 8612, 4306, 2153, 6460, 3230, 1615, 4846, 2423, 7270, 3635, 10906, 5453, 16360, 8180, 4090, 2045, 6136, 3068, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 9069,
      'N1' = 9070],
     [3023 > 1,
      1 is 3023 mod 2,
      9069 is 3 * 3023,
      9070 is 9069 + 1,
      collatz(9070, [9070, 4535, 13606, 6803, 20410, 10205, 30616, 15308, 7654, 3827, 11482, 5741, 17224, 8612, 4306, 2153, 6460, 3230, 1615, 4846, 2423, 7270, 3635, 10906, 5453, 16360, 8180, 4090, 2045, 6136, 3068, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(3023 > 1, builtin, [], []).
step(1 is 3023 mod 2, builtin, [], []).
step(9069 is 3 * 3023, builtin, [], []).
step(9070 is 9069 + 1, builtin, [], []).
step(collatz(9070, [9070, 4535, 13606, 6803, 20410, 10205, 30616, 15308, 7654, 3827, 11482, 5741, 17224, 8612, 4306, 2153, 6460, 3230, 1615, 4846, 2423, 7270, 3635, 10906, 5453, 16360, 8180, 4090, 2045, 6136, 3068, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 9070,
      'J' = [4535, 13606, 6803, 20410, 10205, 30616, 15308, 7654, 3827, 11482, 5741, 17224, 8612, 4306, 2153, 6460, 3230, 1615, 4846, 2423, 7270, 3635, 10906, 5453, 16360, 8180, 4090, 2045, 6136, 3068, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 4535],
     [9070 > 1,
      0 is 9070 mod 2,
      4535 is 9070 // 2,
      collatz(4535, [4535, 13606, 6803, 20410, 10205, 30616, 15308, 7654, 3827, 11482, 5741, 17224, 8612, 4306, 2153, 6460, 3230, 1615, 4846, 2423, 7270, 3635, 10906, 5453, 16360, 8180, 4090, 2045, 6136, 3068, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(9070 > 1, builtin, [], []).
step(0 is 9070 mod 2, builtin, [], []).
step(4535 is 9070 // 2, builtin, [], []).
step(collatz(4535, [4535, 13606, 6803, 20410, 10205, 30616, 15308, 7654, 3827, 11482, 5741, 17224, 8612, 4306, 2153, 6460, 3230, 1615, 4846, 2423, 7270, 3635, 10906, 5453, 16360, 8180, 4090, 2045, 6136, 3068, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 4535,
      'J' = [13606, 6803, 20410, 10205, 30616, 15308, 7654, 3827, 11482, 5741, 17224, 8612, 4306, 2153, 6460, 3230, 1615, 4846, 2423, 7270, 3635, 10906, 5453, 16360, 8180, 4090, 2045, 6136, 3068, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 13605,
      'N1' = 13606],
     [4535 > 1,
      1 is 4535 mod 2,
      13605 is 3 * 4535,
      13606 is 13605 + 1,
      collatz(13606, [13606, 6803, 20410, 10205, 30616, 15308, 7654, 3827, 11482, 5741, 17224, 8612, 4306, 2153, 6460, 3230, 1615, 4846, 2423, 7270, 3635, 10906, 5453, 16360, 8180, 4090, 2045, 6136, 3068, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(4535 > 1, builtin, [], []).
step(1 is 4535 mod 2, builtin, [], []).
step(13605 is 3 * 4535, builtin, [], []).
step(13606 is 13605 + 1, builtin, [], []).
step(collatz(13606, [13606, 6803, 20410, 10205, 30616, 15308, 7654, 3827, 11482, 5741, 17224, 8612, 4306, 2153, 6460, 3230, 1615, 4846, 2423, 7270, 3635, 10906, 5453, 16360, 8180, 4090, 2045, 6136, 3068, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 13606,
      'J' = [6803, 20410, 10205, 30616, 15308, 7654, 3827, 11482, 5741, 17224, 8612, 4306, 2153, 6460, 3230, 1615, 4846, 2423, 7270, 3635, 10906, 5453, 16360, 8180, 4090, 2045, 6136, 3068, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 6803],
     [13606 > 1,
      0 is 13606 mod 2,
      6803 is 13606 // 2,
      collatz(6803, [6803, 20410, 10205, 30616, 15308, 7654, 3827, 11482, 5741, 17224, 8612, 4306, 2153, 6460, 3230, 1615, 4846, 2423, 7270, 3635, 10906, 5453, 16360, 8180, 4090, 2045, 6136, 3068, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(13606 > 1, builtin, [], []).
step(0 is 13606 mod 2, builtin, [], []).
step(6803 is 13606 // 2, builtin, [], []).
step(collatz(6803, [6803, 20410, 10205, 30616, 15308, 7654, 3827, 11482, 5741, 17224, 8612, 4306, 2153, 6460, 3230, 1615, 4846, 2423, 7270, 3635, 10906, 5453, 16360, 8180, 4090, 2045, 6136, 3068, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 6803,
      'J' = [20410, 10205, 30616, 15308, 7654, 3827, 11482, 5741, 17224, 8612, 4306, 2153, 6460, 3230, 1615, 4846, 2423, 7270, 3635, 10906, 5453, 16360, 8180, 4090, 2045, 6136, 3068, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 20409,
      'N1' = 20410],
     [6803 > 1,
      1 is 6803 mod 2,
      20409 is 3 * 6803,
      20410 is 20409 + 1,
      collatz(20410, [20410, 10205, 30616, 15308, 7654, 3827, 11482, 5741, 17224, 8612, 4306, 2153, 6460, 3230, 1615, 4846, 2423, 7270, 3635, 10906, 5453, 16360, 8180, 4090, 2045, 6136, 3068, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(6803 > 1, builtin, [], []).
step(1 is 6803 mod 2, builtin, [], []).
step(20409 is 3 * 6803, builtin, [], []).
step(20410 is 20409 + 1, builtin, [], []).
step(collatz(20410, [20410, 10205, 30616, 15308, 7654, 3827, 11482, 5741, 17224, 8612, 4306, 2153, 6460, 3230, 1615, 4846, 2423, 7270, 3635, 10906, 5453, 16360, 8180, 4090, 2045, 6136, 3068, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 20410,
      'J' = [10205, 30616, 15308, 7654, 3827, 11482, 5741, 17224, 8612, 4306, 2153, 6460, 3230, 1615, 4846, 2423, 7270, 3635, 10906, 5453, 16360, 8180, 4090, 2045, 6136, 3068, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 10205],
     [20410 > 1,
      0 is 20410 mod 2,
      10205 is 20410 // 2,
      collatz(10205, [10205, 30616, 15308, 7654, 3827, 11482, 5741, 17224, 8612, 4306, 2153, 6460, 3230, 1615, 4846, 2423, 7270, 3635, 10906, 5453, 16360, 8180, 4090, 2045, 6136, 3068, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(20410 > 1, builtin, [], []).
step(0 is 20410 mod 2, builtin, [], []).
step(10205 is 20410 // 2, builtin, [], []).
step(collatz(10205, [10205, 30616, 15308, 7654, 3827, 11482, 5741, 17224, 8612, 4306, 2153, 6460, 3230, 1615, 4846, 2423, 7270, 3635, 10906, 5453, 16360, 8180, 4090, 2045, 6136, 3068, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 10205,
      'J' = [30616, 15308, 7654, 3827, 11482, 5741, 17224, 8612, 4306, 2153, 6460, 3230, 1615, 4846, 2423, 7270, 3635, 10906, 5453, 16360, 8180, 4090, 2045, 6136, 3068, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 30615,
      'N1' = 30616],
     [10205 > 1,
      1 is 10205 mod 2,
      30615 is 3 * 10205,
      30616 is 30615 + 1,
      collatz(30616, [30616, 15308, 7654, 3827, 11482, 5741, 17224, 8612, 4306, 2153, 6460, 3230, 1615, 4846, 2423, 7270, 3635, 10906, 5453, 16360, 8180, 4090, 2045, 6136, 3068, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(10205 > 1, builtin, [], []).
step(1 is 10205 mod 2, builtin, [], []).
step(30615 is 3 * 10205, builtin, [], []).
step(30616 is 30615 + 1, builtin, [], []).
step(collatz(30616, [30616, 15308, 7654, 3827, 11482, 5741, 17224, 8612, 4306, 2153, 6460, 3230, 1615, 4846, 2423, 7270, 3635, 10906, 5453, 16360, 8180, 4090, 2045, 6136, 3068, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 30616,
      'J' = [15308, 7654, 3827, 11482, 5741, 17224, 8612, 4306, 2153, 6460, 3230, 1615, 4846, 2423, 7270, 3635, 10906, 5453, 16360, 8180, 4090, 2045, 6136, 3068, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 15308],
     [30616 > 1,
      0 is 30616 mod 2,
      15308 is 30616 // 2,
      collatz(15308, [15308, 7654, 3827, 11482, 5741, 17224, 8612, 4306, 2153, 6460, 3230, 1615, 4846, 2423, 7270, 3635, 10906, 5453, 16360, 8180, 4090, 2045, 6136, 3068, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(30616 > 1, builtin, [], []).
step(0 is 30616 mod 2, builtin, [], []).
step(15308 is 30616 // 2, builtin, [], []).
step(collatz(15308, [15308, 7654, 3827, 11482, 5741, 17224, 8612, 4306, 2153, 6460, 3230, 1615, 4846, 2423, 7270, 3635, 10906, 5453, 16360, 8180, 4090, 2045, 6136, 3068, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 15308,
      'J' = [7654, 3827, 11482, 5741, 17224, 8612, 4306, 2153, 6460, 3230, 1615, 4846, 2423, 7270, 3635, 10906, 5453, 16360, 8180, 4090, 2045, 6136, 3068, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 7654],
     [15308 > 1,
      0 is 15308 mod 2,
      7654 is 15308 // 2,
      collatz(7654, [7654, 3827, 11482, 5741, 17224, 8612, 4306, 2153, 6460, 3230, 1615, 4846, 2423, 7270, 3635, 10906, 5453, 16360, 8180, 4090, 2045, 6136, 3068, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(15308 > 1, builtin, [], []).
step(0 is 15308 mod 2, builtin, [], []).
step(7654 is 15308 // 2, builtin, [], []).
step(collatz(7654, [7654, 3827, 11482, 5741, 17224, 8612, 4306, 2153, 6460, 3230, 1615, 4846, 2423, 7270, 3635, 10906, 5453, 16360, 8180, 4090, 2045, 6136, 3068, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 7654,
      'J' = [3827, 11482, 5741, 17224, 8612, 4306, 2153, 6460, 3230, 1615, 4846, 2423, 7270, 3635, 10906, 5453, 16360, 8180, 4090, 2045, 6136, 3068, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 3827],
     [7654 > 1,
      0 is 7654 mod 2,
      3827 is 7654 // 2,
      collatz(3827, [3827, 11482, 5741, 17224, 8612, 4306, 2153, 6460, 3230, 1615, 4846, 2423, 7270, 3635, 10906, 5453, 16360, 8180, 4090, 2045, 6136, 3068, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(7654 > 1, builtin, [], []).
step(0 is 7654 mod 2, builtin, [], []).
step(3827 is 7654 // 2, builtin, [], []).
step(collatz(3827, [3827, 11482, 5741, 17224, 8612, 4306, 2153, 6460, 3230, 1615, 4846, 2423, 7270, 3635, 10906, 5453, 16360, 8180, 4090, 2045, 6136, 3068, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 3827,
      'J' = [11482, 5741, 17224, 8612, 4306, 2153, 6460, 3230, 1615, 4846, 2423, 7270, 3635, 10906, 5453, 16360, 8180, 4090, 2045, 6136, 3068, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 11481,
      'N1' = 11482],
     [3827 > 1,
      1 is 3827 mod 2,
      11481 is 3 * 3827,
      11482 is 11481 + 1,
      collatz(11482, [11482, 5741, 17224, 8612, 4306, 2153, 6460, 3230, 1615, 4846, 2423, 7270, 3635, 10906, 5453, 16360, 8180, 4090, 2045, 6136, 3068, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(3827 > 1, builtin, [], []).
step(1 is 3827 mod 2, builtin, [], []).
step(11481 is 3 * 3827, builtin, [], []).
step(11482 is 11481 + 1, builtin, [], []).
step(collatz(11482, [11482, 5741, 17224, 8612, 4306, 2153, 6460, 3230, 1615, 4846, 2423, 7270, 3635, 10906, 5453, 16360, 8180, 4090, 2045, 6136, 3068, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 11482,
      'J' = [5741, 17224, 8612, 4306, 2153, 6460, 3230, 1615, 4846, 2423, 7270, 3635, 10906, 5453, 16360, 8180, 4090, 2045, 6136, 3068, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 5741],
     [11482 > 1,
      0 is 11482 mod 2,
      5741 is 11482 // 2,
      collatz(5741, [5741, 17224, 8612, 4306, 2153, 6460, 3230, 1615, 4846, 2423, 7270, 3635, 10906, 5453, 16360, 8180, 4090, 2045, 6136, 3068, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(11482 > 1, builtin, [], []).
step(0 is 11482 mod 2, builtin, [], []).
step(5741 is 11482 // 2, builtin, [], []).
step(collatz(5741, [5741, 17224, 8612, 4306, 2153, 6460, 3230, 1615, 4846, 2423, 7270, 3635, 10906, 5453, 16360, 8180, 4090, 2045, 6136, 3068, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 5741,
      'J' = [17224, 8612, 4306, 2153, 6460, 3230, 1615, 4846, 2423, 7270, 3635, 10906, 5453, 16360, 8180, 4090, 2045, 6136, 3068, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 17223,
      'N1' = 17224],
     [5741 > 1,
      1 is 5741 mod 2,
      17223 is 3 * 5741,
      17224 is 17223 + 1,
      collatz(17224, [17224, 8612, 4306, 2153, 6460, 3230, 1615, 4846, 2423, 7270, 3635, 10906, 5453, 16360, 8180, 4090, 2045, 6136, 3068, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(5741 > 1, builtin, [], []).
step(1 is 5741 mod 2, builtin, [], []).
step(17223 is 3 * 5741, builtin, [], []).
step(17224 is 17223 + 1, builtin, [], []).
step(collatz(17224, [17224, 8612, 4306, 2153, 6460, 3230, 1615, 4846, 2423, 7270, 3635, 10906, 5453, 16360, 8180, 4090, 2045, 6136, 3068, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 17224,
      'J' = [8612, 4306, 2153, 6460, 3230, 1615, 4846, 2423, 7270, 3635, 10906, 5453, 16360, 8180, 4090, 2045, 6136, 3068, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 8612],
     [17224 > 1,
      0 is 17224 mod 2,
      8612 is 17224 // 2,
      collatz(8612, [8612, 4306, 2153, 6460, 3230, 1615, 4846, 2423, 7270, 3635, 10906, 5453, 16360, 8180, 4090, 2045, 6136, 3068, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(17224 > 1, builtin, [], []).
step(0 is 17224 mod 2, builtin, [], []).
step(8612 is 17224 // 2, builtin, [], []).
step(collatz(8612, [8612, 4306, 2153, 6460, 3230, 1615, 4846, 2423, 7270, 3635, 10906, 5453, 16360, 8180, 4090, 2045, 6136, 3068, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 8612,
      'J' = [4306, 2153, 6460, 3230, 1615, 4846, 2423, 7270, 3635, 10906, 5453, 16360, 8180, 4090, 2045, 6136, 3068, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 4306],
     [8612 > 1,
      0 is 8612 mod 2,
      4306 is 8612 // 2,
      collatz(4306, [4306, 2153, 6460, 3230, 1615, 4846, 2423, 7270, 3635, 10906, 5453, 16360, 8180, 4090, 2045, 6136, 3068, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(8612 > 1, builtin, [], []).
step(0 is 8612 mod 2, builtin, [], []).
step(4306 is 8612 // 2, builtin, [], []).
step(collatz(4306, [4306, 2153, 6460, 3230, 1615, 4846, 2423, 7270, 3635, 10906, 5453, 16360, 8180, 4090, 2045, 6136, 3068, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 4306,
      'J' = [2153, 6460, 3230, 1615, 4846, 2423, 7270, 3635, 10906, 5453, 16360, 8180, 4090, 2045, 6136, 3068, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 2153],
     [4306 > 1,
      0 is 4306 mod 2,
      2153 is 4306 // 2,
      collatz(2153, [2153, 6460, 3230, 1615, 4846, 2423, 7270, 3635, 10906, 5453, 16360, 8180, 4090, 2045, 6136, 3068, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(4306 > 1, builtin, [], []).
step(0 is 4306 mod 2, builtin, [], []).
step(2153 is 4306 // 2, builtin, [], []).
step(collatz(2153, [2153, 6460, 3230, 1615, 4846, 2423, 7270, 3635, 10906, 5453, 16360, 8180, 4090, 2045, 6136, 3068, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 2153,
      'J' = [6460, 3230, 1615, 4846, 2423, 7270, 3635, 10906, 5453, 16360, 8180, 4090, 2045, 6136, 3068, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 6459,
      'N1' = 6460],
     [2153 > 1,
      1 is 2153 mod 2,
      6459 is 3 * 2153,
      6460 is 6459 + 1,
      collatz(6460, [6460, 3230, 1615, 4846, 2423, 7270, 3635, 10906, 5453, 16360, 8180, 4090, 2045, 6136, 3068, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2153 > 1, builtin, [], []).
step(1 is 2153 mod 2, builtin, [], []).
step(6459 is 3 * 2153, builtin, [], []).
step(6460 is 6459 + 1, builtin, [], []).
step(collatz(6460, [6460, 3230, 1615, 4846, 2423, 7270, 3635, 10906, 5453, 16360, 8180, 4090, 2045, 6136, 3068, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 6460,
      'J' = [3230, 1615, 4846, 2423, 7270, 3635, 10906, 5453, 16360, 8180, 4090, 2045, 6136, 3068, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 3230],
     [6460 > 1,
      0 is 6460 mod 2,
      3230 is 6460 // 2,
      collatz(3230, [3230, 1615, 4846, 2423, 7270, 3635, 10906, 5453, 16360, 8180, 4090, 2045, 6136, 3068, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(6460 > 1, builtin, [], []).
step(0 is 6460 mod 2, builtin, [], []).
step(3230 is 6460 // 2, builtin, [], []).
step(collatz(3230, [3230, 1615, 4846, 2423, 7270, 3635, 10906, 5453, 16360, 8180, 4090, 2045, 6136, 3068, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 3230,
      'J' = [1615, 4846, 2423, 7270, 3635, 10906, 5453, 16360, 8180, 4090, 2045, 6136, 3068, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1615],
     [3230 > 1,
      0 is 3230 mod 2,
      1615 is 3230 // 2,
      collatz(1615, [1615, 4846, 2423, 7270, 3635, 10906, 5453, 16360, 8180, 4090, 2045, 6136, 3068, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(3230 > 1, builtin, [], []).
step(0 is 3230 mod 2, builtin, [], []).
step(1615 is 3230 // 2, builtin, [], []).
step(collatz(1615, [1615, 4846, 2423, 7270, 3635, 10906, 5453, 16360, 8180, 4090, 2045, 6136, 3068, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 1615,
      'J' = [4846, 2423, 7270, 3635, 10906, 5453, 16360, 8180, 4090, 2045, 6136, 3068, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 4845,
      'N1' = 4846],
     [1615 > 1,
      1 is 1615 mod 2,
      4845 is 3 * 1615,
      4846 is 4845 + 1,
      collatz(4846, [4846, 2423, 7270, 3635, 10906, 5453, 16360, 8180, 4090, 2045, 6136, 3068, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1615 > 1, builtin, [], []).
step(1 is 1615 mod 2, builtin, [], []).
step(4845 is 3 * 1615, builtin, [], []).
step(4846 is 4845 + 1, builtin, [], []).
step(collatz(4846, [4846, 2423, 7270, 3635, 10906, 5453, 16360, 8180, 4090, 2045, 6136, 3068, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 4846,
      'J' = [2423, 7270, 3635, 10906, 5453, 16360, 8180, 4090, 2045, 6136, 3068, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 2423],
     [4846 > 1,
      0 is 4846 mod 2,
      2423 is 4846 // 2,
      collatz(2423, [2423, 7270, 3635, 10906, 5453, 16360, 8180, 4090, 2045, 6136, 3068, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(4846 > 1, builtin, [], []).
step(0 is 4846 mod 2, builtin, [], []).
step(2423 is 4846 // 2, builtin, [], []).
step(collatz(2423, [2423, 7270, 3635, 10906, 5453, 16360, 8180, 4090, 2045, 6136, 3068, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 2423,
      'J' = [7270, 3635, 10906, 5453, 16360, 8180, 4090, 2045, 6136, 3068, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 7269,
      'N1' = 7270],
     [2423 > 1,
      1 is 2423 mod 2,
      7269 is 3 * 2423,
      7270 is 7269 + 1,
      collatz(7270, [7270, 3635, 10906, 5453, 16360, 8180, 4090, 2045, 6136, 3068, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2423 > 1, builtin, [], []).
step(1 is 2423 mod 2, builtin, [], []).
step(7269 is 3 * 2423, builtin, [], []).
step(7270 is 7269 + 1, builtin, [], []).
step(collatz(7270, [7270, 3635, 10906, 5453, 16360, 8180, 4090, 2045, 6136, 3068, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 7270,
      'J' = [3635, 10906, 5453, 16360, 8180, 4090, 2045, 6136, 3068, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 3635],
     [7270 > 1,
      0 is 7270 mod 2,
      3635 is 7270 // 2,
      collatz(3635, [3635, 10906, 5453, 16360, 8180, 4090, 2045, 6136, 3068, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(7270 > 1, builtin, [], []).
step(0 is 7270 mod 2, builtin, [], []).
step(3635 is 7270 // 2, builtin, [], []).
step(collatz(3635, [3635, 10906, 5453, 16360, 8180, 4090, 2045, 6136, 3068, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 3635,
      'J' = [10906, 5453, 16360, 8180, 4090, 2045, 6136, 3068, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 10905,
      'N1' = 10906],
     [3635 > 1,
      1 is 3635 mod 2,
      10905 is 3 * 3635,
      10906 is 10905 + 1,
      collatz(10906, [10906, 5453, 16360, 8180, 4090, 2045, 6136, 3068, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(3635 > 1, builtin, [], []).
step(1 is 3635 mod 2, builtin, [], []).
step(10905 is 3 * 3635, builtin, [], []).
step(10906 is 10905 + 1, builtin, [], []).
step(collatz(10906, [10906, 5453, 16360, 8180, 4090, 2045, 6136, 3068, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 10906,
      'J' = [5453, 16360, 8180, 4090, 2045, 6136, 3068, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 5453],
     [10906 > 1,
      0 is 10906 mod 2,
      5453 is 10906 // 2,
      collatz(5453, [5453, 16360, 8180, 4090, 2045, 6136, 3068, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(10906 > 1, builtin, [], []).
step(0 is 10906 mod 2, builtin, [], []).
step(5453 is 10906 // 2, builtin, [], []).
step(collatz(5453, [5453, 16360, 8180, 4090, 2045, 6136, 3068, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 5453,
      'J' = [16360, 8180, 4090, 2045, 6136, 3068, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 16359,
      'N1' = 16360],
     [5453 > 1,
      1 is 5453 mod 2,
      16359 is 3 * 5453,
      16360 is 16359 + 1,
      collatz(16360, [16360, 8180, 4090, 2045, 6136, 3068, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(5453 > 1, builtin, [], []).
step(1 is 5453 mod 2, builtin, [], []).
step(16359 is 3 * 5453, builtin, [], []).
step(16360 is 16359 + 1, builtin, [], []).
step(collatz(16360, [16360, 8180, 4090, 2045, 6136, 3068, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 16360,
      'J' = [8180, 4090, 2045, 6136, 3068, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 8180],
     [16360 > 1,
      0 is 16360 mod 2,
      8180 is 16360 // 2,
      collatz(8180, [8180, 4090, 2045, 6136, 3068, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(16360 > 1, builtin, [], []).
step(0 is 16360 mod 2, builtin, [], []).
step(8180 is 16360 // 2, builtin, [], []).
step(collatz(8180, [8180, 4090, 2045, 6136, 3068, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 8180,
      'J' = [4090, 2045, 6136, 3068, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 4090],
     [8180 > 1,
      0 is 8180 mod 2,
      4090 is 8180 // 2,
      collatz(4090, [4090, 2045, 6136, 3068, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(8180 > 1, builtin, [], []).
step(0 is 8180 mod 2, builtin, [], []).
step(4090 is 8180 // 2, builtin, [], []).
step(collatz(4090, [4090, 2045, 6136, 3068, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 4090,
      'J' = [2045, 6136, 3068, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 2045],
     [4090 > 1,
      0 is 4090 mod 2,
      2045 is 4090 // 2,
      collatz(2045, [2045, 6136, 3068, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(4090 > 1, builtin, [], []).
step(0 is 4090 mod 2, builtin, [], []).
step(2045 is 4090 // 2, builtin, [], []).
step(collatz(2045, [2045, 6136, 3068, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 2045,
      'J' = [6136, 3068, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 6135,
      'N1' = 6136],
     [2045 > 1,
      1 is 2045 mod 2,
      6135 is 3 * 2045,
      6136 is 6135 + 1,
      collatz(6136, [6136, 3068, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2045 > 1, builtin, [], []).
step(1 is 2045 mod 2, builtin, [], []).
step(6135 is 3 * 2045, builtin, [], []).
step(6136 is 6135 + 1, builtin, [], []).
step(collatz(6136, [6136, 3068, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 6136,
      'J' = [3068, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 3068],
     [6136 > 1,
      0 is 6136 mod 2,
      3068 is 6136 // 2,
      collatz(3068, [3068, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(6136 > 1, builtin, [], []).
step(0 is 6136 mod 2, builtin, [], []).
step(3068 is 6136 // 2, builtin, [], []).
step(collatz(3068, [3068, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 3068,
      'J' = [1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1534],
     [3068 > 1,
      0 is 3068 mod 2,
      1534 is 3068 // 2,
      collatz(1534, [1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(3068 > 1, builtin, [], []).
step(0 is 3068 mod 2, builtin, [], []).
step(1534 is 3068 // 2, builtin, [], []).
step(collatz(1534, [1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1534,
      'J' = [767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 767],
     [1534 > 1,
      0 is 1534 mod 2,
      767 is 1534 // 2,
      collatz(767, [767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1534 > 1, builtin, [], []).
step(0 is 1534 mod 2, builtin, [], []).
step(767 is 1534 // 2, builtin, [], []).
step(collatz(767, [767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 767,
      'J' = [2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 2301,
      'N1' = 2302],
     [767 > 1,
      1 is 767 mod 2,
      2301 is 3 * 767,
      2302 is 2301 + 1,
      collatz(2302, [2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(767 > 1, builtin, [], []).
step(1 is 767 mod 2, builtin, [], []).
step(2301 is 3 * 767, builtin, [], []).
step(2302 is 2301 + 1, builtin, [], []).
step(collatz(2302, [2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 2302,
      'J' = [1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1151],
     [2302 > 1,
      0 is 2302 mod 2,
      1151 is 2302 // 2,
      collatz(1151, [1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2302 > 1, builtin, [], []).
step(0 is 2302 mod 2, builtin, [], []).
step(1151 is 2302 // 2, builtin, [], []).
step(collatz(1151, [1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 1151,
      'J' = [3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 3453,
      'N1' = 3454],
     [1151 > 1,
      1 is 1151 mod 2,
      3453 is 3 * 1151,
      3454 is 3453 + 1,
      collatz(3454, [3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1151 > 1, builtin, [], []).
step(1 is 1151 mod 2, builtin, [], []).
step(3453 is 3 * 1151, builtin, [], []).
step(3454 is 3453 + 1, builtin, [], []).
step(collatz(3454, [3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 3454,
      'J' = [1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1727],
     [3454 > 1,
      0 is 3454 mod 2,
      1727 is 3454 // 2,
      collatz(1727, [1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(3454 > 1, builtin, [], []).
step(0 is 3454 mod 2, builtin, [], []).
step(1727 is 3454 // 2, builtin, [], []).
step(collatz(1727, [1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 1727,
      'J' = [5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 5181,
      'N1' = 5182],
     [1727 > 1,
      1 is 1727 mod 2,
      5181 is 3 * 1727,
      5182 is 5181 + 1,
      collatz(5182, [5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1727 > 1, builtin, [], []).
step(1 is 1727 mod 2, builtin, [], []).
step(5181 is 3 * 1727, builtin, [], []).
step(5182 is 5181 + 1, builtin, [], []).
step(collatz(5182, [5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 5182,
      'J' = [2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 2591],
     [5182 > 1,
      0 is 5182 mod 2,
      2591 is 5182 // 2,
      collatz(2591, [2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(5182 > 1, builtin, [], []).
step(0 is 5182 mod 2, builtin, [], []).
step(2591 is 5182 // 2, builtin, [], []).
step(collatz(2591, [2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 2591,
      'J' = [7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 7773,
      'N1' = 7774],
     [2591 > 1,
      1 is 2591 mod 2,
      7773 is 3 * 2591,
      7774 is 7773 + 1,
      collatz(7774, [7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2591 > 1, builtin, [], []).
step(1 is 2591 mod 2, builtin, [], []).
step(7773 is 3 * 2591, builtin, [], []).
step(7774 is 7773 + 1, builtin, [], []).
step(collatz(7774, [7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 7774,
      'J' = [3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 3887],
     [7774 > 1,
      0 is 7774 mod 2,
      3887 is 7774 // 2,
      collatz(3887, [3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(7774 > 1, builtin, [], []).
step(0 is 7774 mod 2, builtin, [], []).
step(3887 is 7774 // 2, builtin, [], []).
step(collatz(3887, [3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 3887,
      'J' = [11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 11661,
      'N1' = 11662],
     [3887 > 1,
      1 is 3887 mod 2,
      11661 is 3 * 3887,
      11662 is 11661 + 1,
      collatz(11662, [11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(3887 > 1, builtin, [], []).
step(1 is 3887 mod 2, builtin, [], []).
step(11661 is 3 * 3887, builtin, [], []).
step(11662 is 11661 + 1, builtin, [], []).
step(collatz(11662, [11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 11662,
      'J' = [5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 5831],
     [11662 > 1,
      0 is 11662 mod 2,
      5831 is 11662 // 2,
      collatz(5831, [5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(11662 > 1, builtin, [], []).
step(0 is 11662 mod 2, builtin, [], []).
step(5831 is 11662 // 2, builtin, [], []).
step(collatz(5831, [5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 5831,
      'J' = [17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 17493,
      'N1' = 17494],
     [5831 > 1,
      1 is 5831 mod 2,
      17493 is 3 * 5831,
      17494 is 17493 + 1,
      collatz(17494, [17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(5831 > 1, builtin, [], []).
step(1 is 5831 mod 2, builtin, [], []).
step(17493 is 3 * 5831, builtin, [], []).
step(17494 is 17493 + 1, builtin, [], []).
step(collatz(17494, [17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 17494,
      'J' = [8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 8747],
     [17494 > 1,
      0 is 17494 mod 2,
      8747 is 17494 // 2,
      collatz(8747, [8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(17494 > 1, builtin, [], []).
step(0 is 17494 mod 2, builtin, [], []).
step(8747 is 17494 // 2, builtin, [], []).
step(collatz(8747, [8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 8747,
      'J' = [26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 26241,
      'N1' = 26242],
     [8747 > 1,
      1 is 8747 mod 2,
      26241 is 3 * 8747,
      26242 is 26241 + 1,
      collatz(26242, [26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(8747 > 1, builtin, [], []).
step(1 is 8747 mod 2, builtin, [], []).
step(26241 is 3 * 8747, builtin, [], []).
step(26242 is 26241 + 1, builtin, [], []).
step(collatz(26242, [26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 26242,
      'J' = [13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 13121],
     [26242 > 1,
      0 is 26242 mod 2,
      13121 is 26242 // 2,
      collatz(13121, [13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(26242 > 1, builtin, [], []).
step(0 is 26242 mod 2, builtin, [], []).
step(13121 is 26242 // 2, builtin, [], []).
step(collatz(13121, [13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 13121,
      'J' = [39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 39363,
      'N1' = 39364],
     [13121 > 1,
      1 is 13121 mod 2,
      39363 is 3 * 13121,
      39364 is 39363 + 1,
      collatz(39364, [39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(13121 > 1, builtin, [], []).
step(1 is 13121 mod 2, builtin, [], []).
step(39363 is 3 * 13121, builtin, [], []).
step(39364 is 39363 + 1, builtin, [], []).
step(collatz(39364, [39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 39364,
      'J' = [19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 19682],
     [39364 > 1,
      0 is 39364 mod 2,
      19682 is 39364 // 2,
      collatz(19682, [19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(39364 > 1, builtin, [], []).
step(0 is 39364 mod 2, builtin, [], []).
step(19682 is 39364 // 2, builtin, [], []).
step(collatz(19682, [19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 19682,
      'J' = [9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 9841],
     [19682 > 1,
      0 is 19682 mod 2,
      9841 is 19682 // 2,
      collatz(9841, [9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(19682 > 1, builtin, [], []).
step(0 is 19682 mod 2, builtin, [], []).
step(9841 is 19682 // 2, builtin, [], []).
step(collatz(9841, [9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 9841,
      'J' = [29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 29523,
      'N1' = 29524],
     [9841 > 1,
      1 is 9841 mod 2,
      29523 is 3 * 9841,
      29524 is 29523 + 1,
      collatz(29524, [29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(9841 > 1, builtin, [], []).
step(1 is 9841 mod 2, builtin, [], []).
step(29523 is 3 * 9841, builtin, [], []).
step(29524 is 29523 + 1, builtin, [], []).
step(collatz(29524, [29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 29524,
      'J' = [14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 14762],
     [29524 > 1,
      0 is 29524 mod 2,
      14762 is 29524 // 2,
      collatz(14762, [14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(29524 > 1, builtin, [], []).
step(0 is 29524 mod 2, builtin, [], []).
step(14762 is 29524 // 2, builtin, [], []).
step(collatz(14762, [14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 14762,
      'J' = [7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 7381],
     [14762 > 1,
      0 is 14762 mod 2,
      7381 is 14762 // 2,
      collatz(7381, [7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(14762 > 1, builtin, [], []).
step(0 is 14762 mod 2, builtin, [], []).
step(7381 is 14762 // 2, builtin, [], []).
step(collatz(7381, [7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 7381,
      'J' = [22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 22143,
      'N1' = 22144],
     [7381 > 1,
      1 is 7381 mod 2,
      22143 is 3 * 7381,
      22144 is 22143 + 1,
      collatz(22144, [22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(7381 > 1, builtin, [], []).
step(1 is 7381 mod 2, builtin, [], []).
step(22143 is 3 * 7381, builtin, [], []).
step(22144 is 22143 + 1, builtin, [], []).
step(collatz(22144, [22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 22144,
      'J' = [11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 11072],
     [22144 > 1,
      0 is 22144 mod 2,
      11072 is 22144 // 2,
      collatz(11072, [11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(22144 > 1, builtin, [], []).
step(0 is 22144 mod 2, builtin, [], []).
step(11072 is 22144 // 2, builtin, [], []).
step(collatz(11072, [11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 11072,
      'J' = [5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 5536],
     [11072 > 1,
      0 is 11072 mod 2,
      5536 is 11072 // 2,
      collatz(5536, [5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(11072 > 1, builtin, [], []).
step(0 is 11072 mod 2, builtin, [], []).
step(5536 is 11072 // 2, builtin, [], []).
step(collatz(5536, [5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 5536,
      'J' = [2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 2768],
     [5536 > 1,
      0 is 5536 mod 2,
      2768 is 5536 // 2,
      collatz(2768, [2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(5536 > 1, builtin, [], []).
step(0 is 5536 mod 2, builtin, [], []).
step(2768 is 5536 // 2, builtin, [], []).
step(collatz(2768, [2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 2768,
      'J' = [1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1384],
     [2768 > 1,
      0 is 2768 mod 2,
      1384 is 2768 // 2,
      collatz(1384, [1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2768 > 1, builtin, [], []).
step(0 is 2768 mod 2, builtin, [], []).
step(1384 is 2768 // 2, builtin, [], []).
step(collatzTrajectory(894, [894, 447, 1342, 671, 2014, 1007, 3022, 1511, 4534, 2267, 6802, 3401, 10204, 5102, 2551, 7654, 3827, 11482, 5741, 17224, 8612, 4306, 2153, 6460, 3230, 1615, 4846, 2423, 7270, 3635, 10906, 5453, 16360, 8180, 4090, 2045, 6136, 3068, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 894,
      'M' = [894, 447, 1342, 671, 2014, 1007, 3022, 1511, 4534, 2267, 6802, 3401, 10204, 5102, 2551, 7654, 3827, 11482, 5741, 17224, 8612, 4306, 2153, 6460, 3230, 1615, 4846, 2423, 7270, 3635, 10906, 5453, 16360, 8180, 4090, 2045, 6136, 3068, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 106],
     [repeat(1000, 106),
      894 is 1000 - 106,
      collatz(894, [894, 447, 1342, 671, 2014, 1007, 3022, 1511, 4534, 2267, 6802, 3401, 10204, 5102, 2551, 7654, 3827, 11482, 5741, 17224, 8612, 4306, 2153, 6460, 3230, 1615, 4846, 2423, 7270, 3635, 10906, 5453, 16360, 8180, 4090, 2045, 6136, 3068, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 106),
     rule(3),
     ['N' = 1000, 'I' = 106, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 106)]).
step(between(0, 999, 106), builtin, [], []).
step(894 is 1000 - 106, builtin, [], []).
step(collatz(894, [894, 447, 1342, 671, 2014, 1007, 3022, 1511, 4534, 2267, 6802, 3401, 10204, 5102, 2551, 7654, 3827, 11482, 5741, 17224, 8612, 4306, 2153, 6460, 3230, 1615, 4846, 2423, 7270, 3635, 10906, 5453, 16360, 8180, 4090, 2045, 6136, 3068, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 894,
      'J' = [447, 1342, 671, 2014, 1007, 3022, 1511, 4534, 2267, 6802, 3401, 10204, 5102, 2551, 7654, 3827, 11482, 5741, 17224, 8612, 4306, 2153, 6460, 3230, 1615, 4846, 2423, 7270, 3635, 10906, 5453, 16360, 8180, 4090, 2045, 6136, 3068, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 447],
     [894 > 1,
      0 is 894 mod 2,
      447 is 894 // 2,
      collatz(447, [447, 1342, 671, 2014, 1007, 3022, 1511, 4534, 2267, 6802, 3401, 10204, 5102, 2551, 7654, 3827, 11482, 5741, 17224, 8612, 4306, 2153, 6460, 3230, 1615, 4846, 2423, 7270, 3635, 10906, 5453, 16360, 8180, 4090, 2045, 6136, 3068, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(894 > 1, builtin, [], []).
step(0 is 894 mod 2, builtin, [], []).
step(447 is 894 // 2, builtin, [], []).
step(collatz(447, [447, 1342, 671, 2014, 1007, 3022, 1511, 4534, 2267, 6802, 3401, 10204, 5102, 2551, 7654, 3827, 11482, 5741, 17224, 8612, 4306, 2153, 6460, 3230, 1615, 4846, 2423, 7270, 3635, 10906, 5453, 16360, 8180, 4090, 2045, 6136, 3068, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 447,
      'J' = [1342, 671, 2014, 1007, 3022, 1511, 4534, 2267, 6802, 3401, 10204, 5102, 2551, 7654, 3827, 11482, 5741, 17224, 8612, 4306, 2153, 6460, 3230, 1615, 4846, 2423, 7270, 3635, 10906, 5453, 16360, 8180, 4090, 2045, 6136, 3068, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 1341,
      'N1' = 1342],
     [447 > 1,
      1 is 447 mod 2,
      1341 is 3 * 447,
      1342 is 1341 + 1,
      collatz(1342, [1342, 671, 2014, 1007, 3022, 1511, 4534, 2267, 6802, 3401, 10204, 5102, 2551, 7654, 3827, 11482, 5741, 17224, 8612, 4306, 2153, 6460, 3230, 1615, 4846, 2423, 7270, 3635, 10906, 5453, 16360, 8180, 4090, 2045, 6136, 3068, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(447 > 1, builtin, [], []).
step(1 is 447 mod 2, builtin, [], []).
step(1341 is 3 * 447, builtin, [], []).
step(1342 is 1341 + 1, builtin, [], []).
step(collatz(1342, [1342, 671, 2014, 1007, 3022, 1511, 4534, 2267, 6802, 3401, 10204, 5102, 2551, 7654, 3827, 11482, 5741, 17224, 8612, 4306, 2153, 6460, 3230, 1615, 4846, 2423, 7270, 3635, 10906, 5453, 16360, 8180, 4090, 2045, 6136, 3068, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1342,
      'J' = [671, 2014, 1007, 3022, 1511, 4534, 2267, 6802, 3401, 10204, 5102, 2551, 7654, 3827, 11482, 5741, 17224, 8612, 4306, 2153, 6460, 3230, 1615, 4846, 2423, 7270, 3635, 10906, 5453, 16360, 8180, 4090, 2045, 6136, 3068, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 671],
     [1342 > 1,
      0 is 1342 mod 2,
      671 is 1342 // 2,
      collatz(671, [671, 2014, 1007, 3022, 1511, 4534, 2267, 6802, 3401, 10204, 5102, 2551, 7654, 3827, 11482, 5741, 17224, 8612, 4306, 2153, 6460, 3230, 1615, 4846, 2423, 7270, 3635, 10906, 5453, 16360, 8180, 4090, 2045, 6136, 3068, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1342 > 1, builtin, [], []).
step(0 is 1342 mod 2, builtin, [], []).
step(671 is 1342 // 2, builtin, [], []).
step(collatz(671, [671, 2014, 1007, 3022, 1511, 4534, 2267, 6802, 3401, 10204, 5102, 2551, 7654, 3827, 11482, 5741, 17224, 8612, 4306, 2153, 6460, 3230, 1615, 4846, 2423, 7270, 3635, 10906, 5453, 16360, 8180, 4090, 2045, 6136, 3068, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 671,
      'J' = [2014, 1007, 3022, 1511, 4534, 2267, 6802, 3401, 10204, 5102, 2551, 7654, 3827, 11482, 5741, 17224, 8612, 4306, 2153, 6460, 3230, 1615, 4846, 2423, 7270, 3635, 10906, 5453, 16360, 8180, 4090, 2045, 6136, 3068, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 2013,
      'N1' = 2014],
     [671 > 1,
      1 is 671 mod 2,
      2013 is 3 * 671,
      2014 is 2013 + 1,
      collatz(2014, [2014, 1007, 3022, 1511, 4534, 2267, 6802, 3401, 10204, 5102, 2551, 7654, 3827, 11482, 5741, 17224, 8612, 4306, 2153, 6460, 3230, 1615, 4846, 2423, 7270, 3635, 10906, 5453, 16360, 8180, 4090, 2045, 6136, 3068, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(671 > 1, builtin, [], []).
step(1 is 671 mod 2, builtin, [], []).
step(2013 is 3 * 671, builtin, [], []).
step(2014 is 2013 + 1, builtin, [], []).
step(collatz(2014, [2014, 1007, 3022, 1511, 4534, 2267, 6802, 3401, 10204, 5102, 2551, 7654, 3827, 11482, 5741, 17224, 8612, 4306, 2153, 6460, 3230, 1615, 4846, 2423, 7270, 3635, 10906, 5453, 16360, 8180, 4090, 2045, 6136, 3068, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 2014,
      'J' = [1007, 3022, 1511, 4534, 2267, 6802, 3401, 10204, 5102, 2551, 7654, 3827, 11482, 5741, 17224, 8612, 4306, 2153, 6460, 3230, 1615, 4846, 2423, 7270, 3635, 10906, 5453, 16360, 8180, 4090, 2045, 6136, 3068, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1007],
     [2014 > 1,
      0 is 2014 mod 2,
      1007 is 2014 // 2,
      collatz(1007, [1007, 3022, 1511, 4534, 2267, 6802, 3401, 10204, 5102, 2551, 7654, 3827, 11482, 5741, 17224, 8612, 4306, 2153, 6460, 3230, 1615, 4846, 2423, 7270, 3635, 10906, 5453, 16360, 8180, 4090, 2045, 6136, 3068, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2014 > 1, builtin, [], []).
step(0 is 2014 mod 2, builtin, [], []).
step(1007 is 2014 // 2, builtin, [], []).
step(collatz(1007, [1007, 3022, 1511, 4534, 2267, 6802, 3401, 10204, 5102, 2551, 7654, 3827, 11482, 5741, 17224, 8612, 4306, 2153, 6460, 3230, 1615, 4846, 2423, 7270, 3635, 10906, 5453, 16360, 8180, 4090, 2045, 6136, 3068, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 1007,
      'J' = [3022, 1511, 4534, 2267, 6802, 3401, 10204, 5102, 2551, 7654, 3827, 11482, 5741, 17224, 8612, 4306, 2153, 6460, 3230, 1615, 4846, 2423, 7270, 3635, 10906, 5453, 16360, 8180, 4090, 2045, 6136, 3068, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 3021,
      'N1' = 3022],
     [1007 > 1,
      1 is 1007 mod 2,
      3021 is 3 * 1007,
      3022 is 3021 + 1,
      collatz(3022, [3022, 1511, 4534, 2267, 6802, 3401, 10204, 5102, 2551, 7654, 3827, 11482, 5741, 17224, 8612, 4306, 2153, 6460, 3230, 1615, 4846, 2423, 7270, 3635, 10906, 5453, 16360, 8180, 4090, 2045, 6136, 3068, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1007 > 1, builtin, [], []).
step(1 is 1007 mod 2, builtin, [], []).
step(3021 is 3 * 1007, builtin, [], []).
step(3022 is 3021 + 1, builtin, [], []).
step(collatz(3022, [3022, 1511, 4534, 2267, 6802, 3401, 10204, 5102, 2551, 7654, 3827, 11482, 5741, 17224, 8612, 4306, 2153, 6460, 3230, 1615, 4846, 2423, 7270, 3635, 10906, 5453, 16360, 8180, 4090, 2045, 6136, 3068, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 3022,
      'J' = [1511, 4534, 2267, 6802, 3401, 10204, 5102, 2551, 7654, 3827, 11482, 5741, 17224, 8612, 4306, 2153, 6460, 3230, 1615, 4846, 2423, 7270, 3635, 10906, 5453, 16360, 8180, 4090, 2045, 6136, 3068, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1511],
     [3022 > 1,
      0 is 3022 mod 2,
      1511 is 3022 // 2,
      collatz(1511, [1511, 4534, 2267, 6802, 3401, 10204, 5102, 2551, 7654, 3827, 11482, 5741, 17224, 8612, 4306, 2153, 6460, 3230, 1615, 4846, 2423, 7270, 3635, 10906, 5453, 16360, 8180, 4090, 2045, 6136, 3068, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(3022 > 1, builtin, [], []).
step(0 is 3022 mod 2, builtin, [], []).
step(1511 is 3022 // 2, builtin, [], []).
step(collatz(1511, [1511, 4534, 2267, 6802, 3401, 10204, 5102, 2551, 7654, 3827, 11482, 5741, 17224, 8612, 4306, 2153, 6460, 3230, 1615, 4846, 2423, 7270, 3635, 10906, 5453, 16360, 8180, 4090, 2045, 6136, 3068, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 1511,
      'J' = [4534, 2267, 6802, 3401, 10204, 5102, 2551, 7654, 3827, 11482, 5741, 17224, 8612, 4306, 2153, 6460, 3230, 1615, 4846, 2423, 7270, 3635, 10906, 5453, 16360, 8180, 4090, 2045, 6136, 3068, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 4533,
      'N1' = 4534],
     [1511 > 1,
      1 is 1511 mod 2,
      4533 is 3 * 1511,
      4534 is 4533 + 1,
      collatz(4534, [4534, 2267, 6802, 3401, 10204, 5102, 2551, 7654, 3827, 11482, 5741, 17224, 8612, 4306, 2153, 6460, 3230, 1615, 4846, 2423, 7270, 3635, 10906, 5453, 16360, 8180, 4090, 2045, 6136, 3068, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1511 > 1, builtin, [], []).
step(1 is 1511 mod 2, builtin, [], []).
step(4533 is 3 * 1511, builtin, [], []).
step(4534 is 4533 + 1, builtin, [], []).
step(collatz(4534, [4534, 2267, 6802, 3401, 10204, 5102, 2551, 7654, 3827, 11482, 5741, 17224, 8612, 4306, 2153, 6460, 3230, 1615, 4846, 2423, 7270, 3635, 10906, 5453, 16360, 8180, 4090, 2045, 6136, 3068, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 4534,
      'J' = [2267, 6802, 3401, 10204, 5102, 2551, 7654, 3827, 11482, 5741, 17224, 8612, 4306, 2153, 6460, 3230, 1615, 4846, 2423, 7270, 3635, 10906, 5453, 16360, 8180, 4090, 2045, 6136, 3068, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 2267],
     [4534 > 1,
      0 is 4534 mod 2,
      2267 is 4534 // 2,
      collatz(2267, [2267, 6802, 3401, 10204, 5102, 2551, 7654, 3827, 11482, 5741, 17224, 8612, 4306, 2153, 6460, 3230, 1615, 4846, 2423, 7270, 3635, 10906, 5453, 16360, 8180, 4090, 2045, 6136, 3068, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(4534 > 1, builtin, [], []).
step(0 is 4534 mod 2, builtin, [], []).
step(2267 is 4534 // 2, builtin, [], []).
step(collatz(2267, [2267, 6802, 3401, 10204, 5102, 2551, 7654, 3827, 11482, 5741, 17224, 8612, 4306, 2153, 6460, 3230, 1615, 4846, 2423, 7270, 3635, 10906, 5453, 16360, 8180, 4090, 2045, 6136, 3068, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 2267,
      'J' = [6802, 3401, 10204, 5102, 2551, 7654, 3827, 11482, 5741, 17224, 8612, 4306, 2153, 6460, 3230, 1615, 4846, 2423, 7270, 3635, 10906, 5453, 16360, 8180, 4090, 2045, 6136, 3068, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 6801,
      'N1' = 6802],
     [2267 > 1,
      1 is 2267 mod 2,
      6801 is 3 * 2267,
      6802 is 6801 + 1,
      collatz(6802, [6802, 3401, 10204, 5102, 2551, 7654, 3827, 11482, 5741, 17224, 8612, 4306, 2153, 6460, 3230, 1615, 4846, 2423, 7270, 3635, 10906, 5453, 16360, 8180, 4090, 2045, 6136, 3068, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2267 > 1, builtin, [], []).
step(1 is 2267 mod 2, builtin, [], []).
step(6801 is 3 * 2267, builtin, [], []).
step(6802 is 6801 + 1, builtin, [], []).
step(collatz(6802, [6802, 3401, 10204, 5102, 2551, 7654, 3827, 11482, 5741, 17224, 8612, 4306, 2153, 6460, 3230, 1615, 4846, 2423, 7270, 3635, 10906, 5453, 16360, 8180, 4090, 2045, 6136, 3068, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 6802,
      'J' = [3401, 10204, 5102, 2551, 7654, 3827, 11482, 5741, 17224, 8612, 4306, 2153, 6460, 3230, 1615, 4846, 2423, 7270, 3635, 10906, 5453, 16360, 8180, 4090, 2045, 6136, 3068, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 3401],
     [6802 > 1,
      0 is 6802 mod 2,
      3401 is 6802 // 2,
      collatz(3401, [3401, 10204, 5102, 2551, 7654, 3827, 11482, 5741, 17224, 8612, 4306, 2153, 6460, 3230, 1615, 4846, 2423, 7270, 3635, 10906, 5453, 16360, 8180, 4090, 2045, 6136, 3068, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(6802 > 1, builtin, [], []).
step(0 is 6802 mod 2, builtin, [], []).
step(3401 is 6802 // 2, builtin, [], []).
step(collatz(3401, [3401, 10204, 5102, 2551, 7654, 3827, 11482, 5741, 17224, 8612, 4306, 2153, 6460, 3230, 1615, 4846, 2423, 7270, 3635, 10906, 5453, 16360, 8180, 4090, 2045, 6136, 3068, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 3401,
      'J' = [10204, 5102, 2551, 7654, 3827, 11482, 5741, 17224, 8612, 4306, 2153, 6460, 3230, 1615, 4846, 2423, 7270, 3635, 10906, 5453, 16360, 8180, 4090, 2045, 6136, 3068, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 10203,
      'N1' = 10204],
     [3401 > 1,
      1 is 3401 mod 2,
      10203 is 3 * 3401,
      10204 is 10203 + 1,
      collatz(10204, [10204, 5102, 2551, 7654, 3827, 11482, 5741, 17224, 8612, 4306, 2153, 6460, 3230, 1615, 4846, 2423, 7270, 3635, 10906, 5453, 16360, 8180, 4090, 2045, 6136, 3068, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(3401 > 1, builtin, [], []).
step(1 is 3401 mod 2, builtin, [], []).
step(10203 is 3 * 3401, builtin, [], []).
step(10204 is 10203 + 1, builtin, [], []).
step(collatz(10204, [10204, 5102, 2551, 7654, 3827, 11482, 5741, 17224, 8612, 4306, 2153, 6460, 3230, 1615, 4846, 2423, 7270, 3635, 10906, 5453, 16360, 8180, 4090, 2045, 6136, 3068, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 10204,
      'J' = [5102, 2551, 7654, 3827, 11482, 5741, 17224, 8612, 4306, 2153, 6460, 3230, 1615, 4846, 2423, 7270, 3635, 10906, 5453, 16360, 8180, 4090, 2045, 6136, 3068, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 5102],
     [10204 > 1,
      0 is 10204 mod 2,
      5102 is 10204 // 2,
      collatz(5102, [5102, 2551, 7654, 3827, 11482, 5741, 17224, 8612, 4306, 2153, 6460, 3230, 1615, 4846, 2423, 7270, 3635, 10906, 5453, 16360, 8180, 4090, 2045, 6136, 3068, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(10204 > 1, builtin, [], []).
step(0 is 10204 mod 2, builtin, [], []).
step(5102 is 10204 // 2, builtin, [], []).
step(collatz(5102, [5102, 2551, 7654, 3827, 11482, 5741, 17224, 8612, 4306, 2153, 6460, 3230, 1615, 4846, 2423, 7270, 3635, 10906, 5453, 16360, 8180, 4090, 2045, 6136, 3068, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 5102,
      'J' = [2551, 7654, 3827, 11482, 5741, 17224, 8612, 4306, 2153, 6460, 3230, 1615, 4846, 2423, 7270, 3635, 10906, 5453, 16360, 8180, 4090, 2045, 6136, 3068, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 2551],
     [5102 > 1,
      0 is 5102 mod 2,
      2551 is 5102 // 2,
      collatz(2551, [2551, 7654, 3827, 11482, 5741, 17224, 8612, 4306, 2153, 6460, 3230, 1615, 4846, 2423, 7270, 3635, 10906, 5453, 16360, 8180, 4090, 2045, 6136, 3068, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(5102 > 1, builtin, [], []).
step(0 is 5102 mod 2, builtin, [], []).
step(2551 is 5102 // 2, builtin, [], []).
step(collatz(2551, [2551, 7654, 3827, 11482, 5741, 17224, 8612, 4306, 2153, 6460, 3230, 1615, 4846, 2423, 7270, 3635, 10906, 5453, 16360, 8180, 4090, 2045, 6136, 3068, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 2551,
      'J' = [7654, 3827, 11482, 5741, 17224, 8612, 4306, 2153, 6460, 3230, 1615, 4846, 2423, 7270, 3635, 10906, 5453, 16360, 8180, 4090, 2045, 6136, 3068, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 7653,
      'N1' = 7654],
     [2551 > 1,
      1 is 2551 mod 2,
      7653 is 3 * 2551,
      7654 is 7653 + 1,
      collatz(7654, [7654, 3827, 11482, 5741, 17224, 8612, 4306, 2153, 6460, 3230, 1615, 4846, 2423, 7270, 3635, 10906, 5453, 16360, 8180, 4090, 2045, 6136, 3068, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2551 > 1, builtin, [], []).
step(1 is 2551 mod 2, builtin, [], []).
step(7653 is 3 * 2551, builtin, [], []).
step(7654 is 7653 + 1, builtin, [], []).
step(collatzTrajectory(893, [893, 2680, 1340, 670, 335, 1006, 503, 1510, 755, 2266, 1133, 3400, 1700, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 893,
      'M' = [893, 2680, 1340, 670, 335, 1006, 503, 1510, 755, 2266, 1133, 3400, 1700, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 107],
     [repeat(1000, 107),
      893 is 1000 - 107,
      collatz(893, [893, 2680, 1340, 670, 335, 1006, 503, 1510, 755, 2266, 1133, 3400, 1700, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 107),
     rule(3),
     ['N' = 1000, 'I' = 107, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 107)]).
step(between(0, 999, 107), builtin, [], []).
step(893 is 1000 - 107, builtin, [], []).
step(collatzTrajectory(892, [892, 446, 223, 670, 335, 1006, 503, 1510, 755, 2266, 1133, 3400, 1700, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 892,
      'M' = [892, 446, 223, 670, 335, 1006, 503, 1510, 755, 2266, 1133, 3400, 1700, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 108],
     [repeat(1000, 108),
      892 is 1000 - 108,
      collatz(892, [892, 446, 223, 670, 335, 1006, 503, 1510, 755, 2266, 1133, 3400, 1700, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 108),
     rule(3),
     ['N' = 1000, 'I' = 108, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 108)]).
step(between(0, 999, 108), builtin, [], []).
step(892 is 1000 - 108, builtin, [], []).
step(collatz(892, [892, 446, 223, 670, 335, 1006, 503, 1510, 755, 2266, 1133, 3400, 1700, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 892,
      'J' = [446, 223, 670, 335, 1006, 503, 1510, 755, 2266, 1133, 3400, 1700, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 446],
     [892 > 1,
      0 is 892 mod 2,
      446 is 892 // 2,
      collatz(446, [446, 223, 670, 335, 1006, 503, 1510, 755, 2266, 1133, 3400, 1700, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(892 > 1, builtin, [], []).
step(0 is 892 mod 2, builtin, [], []).
step(446 is 892 // 2, builtin, [], []).
step(collatz(446, [446, 223, 670, 335, 1006, 503, 1510, 755, 2266, 1133, 3400, 1700, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 446,
      'J' = [223, 670, 335, 1006, 503, 1510, 755, 2266, 1133, 3400, 1700, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 223],
     [446 > 1,
      0 is 446 mod 2,
      223 is 446 // 2,
      collatz(223, [223, 670, 335, 1006, 503, 1510, 755, 2266, 1133, 3400, 1700, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(446 > 1, builtin, [], []).
step(0 is 446 mod 2, builtin, [], []).
step(223 is 446 // 2, builtin, [], []).
step(collatz(223, [223, 670, 335, 1006, 503, 1510, 755, 2266, 1133, 3400, 1700, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 223,
      'J' = [670, 335, 1006, 503, 1510, 755, 2266, 1133, 3400, 1700, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 669,
      'N1' = 670],
     [223 > 1,
      1 is 223 mod 2,
      669 is 3 * 223,
      670 is 669 + 1,
      collatz(670, [670, 335, 1006, 503, 1510, 755, 2266, 1133, 3400, 1700, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(223 > 1, builtin, [], []).
step(1 is 223 mod 2, builtin, [], []).
step(669 is 3 * 223, builtin, [], []).
step(670 is 669 + 1, builtin, [], []).
step(collatzTrajectory(891, [891, 2674, 1337, 4012, 2006, 1003, 3010, 1505, 4516, 2258, 1129, 3388, 1694, 847, 2542, 1271, 3814, 1907, 5722, 2861, 8584, 4292, 2146, 1073, 3220, 1610, 805, 2416, 1208, 604, 302, 151, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 891,
      'M' = [891, 2674, 1337, 4012, 2006, 1003, 3010, 1505, 4516, 2258, 1129, 3388, 1694, 847, 2542, 1271, 3814, 1907, 5722, 2861, 8584, 4292, 2146, 1073, 3220, 1610, 805, 2416, 1208, 604, 302, 151, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1],
      'N0' = 109],
     [repeat(1000, 109),
      891 is 1000 - 109,
      collatz(891, [891, 2674, 1337, 4012, 2006, 1003, 3010, 1505, 4516, 2258, 1129, 3388, 1694, 847, 2542, 1271, 3814, 1907, 5722, 2861, 8584, 4292, 2146, 1073, 3220, 1610, 805, 2416, 1208, 604, 302, 151, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1])]).
step(repeat(1000, 109),
     rule(3),
     ['N' = 1000, 'I' = 109, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 109)]).
step(between(0, 999, 109), builtin, [], []).
step(891 is 1000 - 109, builtin, [], []).
step(collatz(891, [891, 2674, 1337, 4012, 2006, 1003, 3010, 1505, 4516, 2258, 1129, 3388, 1694, 847, 2542, 1271, 3814, 1907, 5722, 2861, 8584, 4292, 2146, 1073, 3220, 1610, 805, 2416, 1208, 604, 302, 151, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 891,
      'J' = [2674, 1337, 4012, 2006, 1003, 3010, 1505, 4516, 2258, 1129, 3388, 1694, 847, 2542, 1271, 3814, 1907, 5722, 2861, 8584, 4292, 2146, 1073, 3220, 1610, 805, 2416, 1208, 604, 302, 151, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1],
      'T' = 2673,
      'N1' = 2674],
     [891 > 1,
      1 is 891 mod 2,
      2673 is 3 * 891,
      2674 is 2673 + 1,
      collatz(2674, [2674, 1337, 4012, 2006, 1003, 3010, 1505, 4516, 2258, 1129, 3388, 1694, 847, 2542, 1271, 3814, 1907, 5722, 2861, 8584, 4292, 2146, 1073, 3220, 1610, 805, 2416, 1208, 604, 302, 151, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1])]).
step(891 > 1, builtin, [], []).
step(1 is 891 mod 2, builtin, [], []).
step(2673 is 3 * 891, builtin, [], []).
step(2674 is 2673 + 1, builtin, [], []).
step(collatz(2674, [2674, 1337, 4012, 2006, 1003, 3010, 1505, 4516, 2258, 1129, 3388, 1694, 847, 2542, 1271, 3814, 1907, 5722, 2861, 8584, 4292, 2146, 1073, 3220, 1610, 805, 2416, 1208, 604, 302, 151, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 2674,
      'J' = [1337, 4012, 2006, 1003, 3010, 1505, 4516, 2258, 1129, 3388, 1694, 847, 2542, 1271, 3814, 1907, 5722, 2861, 8584, 4292, 2146, 1073, 3220, 1610, 805, 2416, 1208, 604, 302, 151, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1],
      'N1' = 1337],
     [2674 > 1,
      0 is 2674 mod 2,
      1337 is 2674 // 2,
      collatz(1337, [1337, 4012, 2006, 1003, 3010, 1505, 4516, 2258, 1129, 3388, 1694, 847, 2542, 1271, 3814, 1907, 5722, 2861, 8584, 4292, 2146, 1073, 3220, 1610, 805, 2416, 1208, 604, 302, 151, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1])]).
step(2674 > 1, builtin, [], []).
step(0 is 2674 mod 2, builtin, [], []).
step(1337 is 2674 // 2, builtin, [], []).
step(collatz(1337, [1337, 4012, 2006, 1003, 3010, 1505, 4516, 2258, 1129, 3388, 1694, 847, 2542, 1271, 3814, 1907, 5722, 2861, 8584, 4292, 2146, 1073, 3220, 1610, 805, 2416, 1208, 604, 302, 151, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 1337,
      'J' = [4012, 2006, 1003, 3010, 1505, 4516, 2258, 1129, 3388, 1694, 847, 2542, 1271, 3814, 1907, 5722, 2861, 8584, 4292, 2146, 1073, 3220, 1610, 805, 2416, 1208, 604, 302, 151, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1],
      'T' = 4011,
      'N1' = 4012],
     [1337 > 1,
      1 is 1337 mod 2,
      4011 is 3 * 1337,
      4012 is 4011 + 1,
      collatz(4012, [4012, 2006, 1003, 3010, 1505, 4516, 2258, 1129, 3388, 1694, 847, 2542, 1271, 3814, 1907, 5722, 2861, 8584, 4292, 2146, 1073, 3220, 1610, 805, 2416, 1208, 604, 302, 151, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1])]).
step(1337 > 1, builtin, [], []).
step(1 is 1337 mod 2, builtin, [], []).
step(4011 is 3 * 1337, builtin, [], []).
step(4012 is 4011 + 1, builtin, [], []).
step(collatz(4012, [4012, 2006, 1003, 3010, 1505, 4516, 2258, 1129, 3388, 1694, 847, 2542, 1271, 3814, 1907, 5722, 2861, 8584, 4292, 2146, 1073, 3220, 1610, 805, 2416, 1208, 604, 302, 151, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 4012,
      'J' = [2006, 1003, 3010, 1505, 4516, 2258, 1129, 3388, 1694, 847, 2542, 1271, 3814, 1907, 5722, 2861, 8584, 4292, 2146, 1073, 3220, 1610, 805, 2416, 1208, 604, 302, 151, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1],
      'N1' = 2006],
     [4012 > 1,
      0 is 4012 mod 2,
      2006 is 4012 // 2,
      collatz(2006, [2006, 1003, 3010, 1505, 4516, 2258, 1129, 3388, 1694, 847, 2542, 1271, 3814, 1907, 5722, 2861, 8584, 4292, 2146, 1073, 3220, 1610, 805, 2416, 1208, 604, 302, 151, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1])]).
step(4012 > 1, builtin, [], []).
step(0 is 4012 mod 2, builtin, [], []).
step(2006 is 4012 // 2, builtin, [], []).
step(collatz(2006, [2006, 1003, 3010, 1505, 4516, 2258, 1129, 3388, 1694, 847, 2542, 1271, 3814, 1907, 5722, 2861, 8584, 4292, 2146, 1073, 3220, 1610, 805, 2416, 1208, 604, 302, 151, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 2006,
      'J' = [1003, 3010, 1505, 4516, 2258, 1129, 3388, 1694, 847, 2542, 1271, 3814, 1907, 5722, 2861, 8584, 4292, 2146, 1073, 3220, 1610, 805, 2416, 1208, 604, 302, 151, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1],
      'N1' = 1003],
     [2006 > 1,
      0 is 2006 mod 2,
      1003 is 2006 // 2,
      collatz(1003, [1003, 3010, 1505, 4516, 2258, 1129, 3388, 1694, 847, 2542, 1271, 3814, 1907, 5722, 2861, 8584, 4292, 2146, 1073, 3220, 1610, 805, 2416, 1208, 604, 302, 151, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1])]).
step(2006 > 1, builtin, [], []).
step(0 is 2006 mod 2, builtin, [], []).
step(1003 is 2006 // 2, builtin, [], []).
step(collatz(1003, [1003, 3010, 1505, 4516, 2258, 1129, 3388, 1694, 847, 2542, 1271, 3814, 1907, 5722, 2861, 8584, 4292, 2146, 1073, 3220, 1610, 805, 2416, 1208, 604, 302, 151, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 1003,
      'J' = [3010, 1505, 4516, 2258, 1129, 3388, 1694, 847, 2542, 1271, 3814, 1907, 5722, 2861, 8584, 4292, 2146, 1073, 3220, 1610, 805, 2416, 1208, 604, 302, 151, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1],
      'T' = 3009,
      'N1' = 3010],
     [1003 > 1,
      1 is 1003 mod 2,
      3009 is 3 * 1003,
      3010 is 3009 + 1,
      collatz(3010, [3010, 1505, 4516, 2258, 1129, 3388, 1694, 847, 2542, 1271, 3814, 1907, 5722, 2861, 8584, 4292, 2146, 1073, 3220, 1610, 805, 2416, 1208, 604, 302, 151, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1])]).
step(1003 > 1, builtin, [], []).
step(1 is 1003 mod 2, builtin, [], []).
step(3009 is 3 * 1003, builtin, [], []).
step(3010 is 3009 + 1, builtin, [], []).
step(collatz(3010, [3010, 1505, 4516, 2258, 1129, 3388, 1694, 847, 2542, 1271, 3814, 1907, 5722, 2861, 8584, 4292, 2146, 1073, 3220, 1610, 805, 2416, 1208, 604, 302, 151, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 3010,
      'J' = [1505, 4516, 2258, 1129, 3388, 1694, 847, 2542, 1271, 3814, 1907, 5722, 2861, 8584, 4292, 2146, 1073, 3220, 1610, 805, 2416, 1208, 604, 302, 151, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1],
      'N1' = 1505],
     [3010 > 1,
      0 is 3010 mod 2,
      1505 is 3010 // 2,
      collatz(1505, [1505, 4516, 2258, 1129, 3388, 1694, 847, 2542, 1271, 3814, 1907, 5722, 2861, 8584, 4292, 2146, 1073, 3220, 1610, 805, 2416, 1208, 604, 302, 151, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1])]).
step(3010 > 1, builtin, [], []).
step(0 is 3010 mod 2, builtin, [], []).
step(1505 is 3010 // 2, builtin, [], []).
step(collatz(1505, [1505, 4516, 2258, 1129, 3388, 1694, 847, 2542, 1271, 3814, 1907, 5722, 2861, 8584, 4292, 2146, 1073, 3220, 1610, 805, 2416, 1208, 604, 302, 151, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 1505,
      'J' = [4516, 2258, 1129, 3388, 1694, 847, 2542, 1271, 3814, 1907, 5722, 2861, 8584, 4292, 2146, 1073, 3220, 1610, 805, 2416, 1208, 604, 302, 151, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1],
      'T' = 4515,
      'N1' = 4516],
     [1505 > 1,
      1 is 1505 mod 2,
      4515 is 3 * 1505,
      4516 is 4515 + 1,
      collatz(4516, [4516, 2258, 1129, 3388, 1694, 847, 2542, 1271, 3814, 1907, 5722, 2861, 8584, 4292, 2146, 1073, 3220, 1610, 805, 2416, 1208, 604, 302, 151, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1])]).
step(1505 > 1, builtin, [], []).
step(1 is 1505 mod 2, builtin, [], []).
step(4515 is 3 * 1505, builtin, [], []).
step(4516 is 4515 + 1, builtin, [], []).
step(collatz(4516, [4516, 2258, 1129, 3388, 1694, 847, 2542, 1271, 3814, 1907, 5722, 2861, 8584, 4292, 2146, 1073, 3220, 1610, 805, 2416, 1208, 604, 302, 151, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 4516,
      'J' = [2258, 1129, 3388, 1694, 847, 2542, 1271, 3814, 1907, 5722, 2861, 8584, 4292, 2146, 1073, 3220, 1610, 805, 2416, 1208, 604, 302, 151, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1],
      'N1' = 2258],
     [4516 > 1,
      0 is 4516 mod 2,
      2258 is 4516 // 2,
      collatz(2258, [2258, 1129, 3388, 1694, 847, 2542, 1271, 3814, 1907, 5722, 2861, 8584, 4292, 2146, 1073, 3220, 1610, 805, 2416, 1208, 604, 302, 151, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1])]).
step(4516 > 1, builtin, [], []).
step(0 is 4516 mod 2, builtin, [], []).
step(2258 is 4516 // 2, builtin, [], []).
step(collatz(2258, [2258, 1129, 3388, 1694, 847, 2542, 1271, 3814, 1907, 5722, 2861, 8584, 4292, 2146, 1073, 3220, 1610, 805, 2416, 1208, 604, 302, 151, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 2258,
      'J' = [1129, 3388, 1694, 847, 2542, 1271, 3814, 1907, 5722, 2861, 8584, 4292, 2146, 1073, 3220, 1610, 805, 2416, 1208, 604, 302, 151, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1],
      'N1' = 1129],
     [2258 > 1,
      0 is 2258 mod 2,
      1129 is 2258 // 2,
      collatz(1129, [1129, 3388, 1694, 847, 2542, 1271, 3814, 1907, 5722, 2861, 8584, 4292, 2146, 1073, 3220, 1610, 805, 2416, 1208, 604, 302, 151, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1])]).
step(2258 > 1, builtin, [], []).
step(0 is 2258 mod 2, builtin, [], []).
step(1129 is 2258 // 2, builtin, [], []).
step(collatz(1129, [1129, 3388, 1694, 847, 2542, 1271, 3814, 1907, 5722, 2861, 8584, 4292, 2146, 1073, 3220, 1610, 805, 2416, 1208, 604, 302, 151, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 1129,
      'J' = [3388, 1694, 847, 2542, 1271, 3814, 1907, 5722, 2861, 8584, 4292, 2146, 1073, 3220, 1610, 805, 2416, 1208, 604, 302, 151, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1],
      'T' = 3387,
      'N1' = 3388],
     [1129 > 1,
      1 is 1129 mod 2,
      3387 is 3 * 1129,
      3388 is 3387 + 1,
      collatz(3388, [3388, 1694, 847, 2542, 1271, 3814, 1907, 5722, 2861, 8584, 4292, 2146, 1073, 3220, 1610, 805, 2416, 1208, 604, 302, 151, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1])]).
step(1129 > 1, builtin, [], []).
step(1 is 1129 mod 2, builtin, [], []).
step(3387 is 3 * 1129, builtin, [], []).
step(3388 is 3387 + 1, builtin, [], []).
step(collatz(3388, [3388, 1694, 847, 2542, 1271, 3814, 1907, 5722, 2861, 8584, 4292, 2146, 1073, 3220, 1610, 805, 2416, 1208, 604, 302, 151, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 3388,
      'J' = [1694, 847, 2542, 1271, 3814, 1907, 5722, 2861, 8584, 4292, 2146, 1073, 3220, 1610, 805, 2416, 1208, 604, 302, 151, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1],
      'N1' = 1694],
     [3388 > 1,
      0 is 3388 mod 2,
      1694 is 3388 // 2,
      collatz(1694, [1694, 847, 2542, 1271, 3814, 1907, 5722, 2861, 8584, 4292, 2146, 1073, 3220, 1610, 805, 2416, 1208, 604, 302, 151, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1])]).
step(3388 > 1, builtin, [], []).
step(0 is 3388 mod 2, builtin, [], []).
step(1694 is 3388 // 2, builtin, [], []).
step(collatz(1694, [1694, 847, 2542, 1271, 3814, 1907, 5722, 2861, 8584, 4292, 2146, 1073, 3220, 1610, 805, 2416, 1208, 604, 302, 151, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1694,
      'J' = [847, 2542, 1271, 3814, 1907, 5722, 2861, 8584, 4292, 2146, 1073, 3220, 1610, 805, 2416, 1208, 604, 302, 151, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1],
      'N1' = 847],
     [1694 > 1,
      0 is 1694 mod 2,
      847 is 1694 // 2,
      collatz(847, [847, 2542, 1271, 3814, 1907, 5722, 2861, 8584, 4292, 2146, 1073, 3220, 1610, 805, 2416, 1208, 604, 302, 151, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1])]).
step(1694 > 1, builtin, [], []).
step(0 is 1694 mod 2, builtin, [], []).
step(847 is 1694 // 2, builtin, [], []).
step(collatz(847, [847, 2542, 1271, 3814, 1907, 5722, 2861, 8584, 4292, 2146, 1073, 3220, 1610, 805, 2416, 1208, 604, 302, 151, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 847,
      'J' = [2542, 1271, 3814, 1907, 5722, 2861, 8584, 4292, 2146, 1073, 3220, 1610, 805, 2416, 1208, 604, 302, 151, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1],
      'T' = 2541,
      'N1' = 2542],
     [847 > 1,
      1 is 847 mod 2,
      2541 is 3 * 847,
      2542 is 2541 + 1,
      collatz(2542, [2542, 1271, 3814, 1907, 5722, 2861, 8584, 4292, 2146, 1073, 3220, 1610, 805, 2416, 1208, 604, 302, 151, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1])]).
step(847 > 1, builtin, [], []).
step(1 is 847 mod 2, builtin, [], []).
step(2541 is 3 * 847, builtin, [], []).
step(2542 is 2541 + 1, builtin, [], []).
step(collatz(2542, [2542, 1271, 3814, 1907, 5722, 2861, 8584, 4292, 2146, 1073, 3220, 1610, 805, 2416, 1208, 604, 302, 151, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 2542,
      'J' = [1271, 3814, 1907, 5722, 2861, 8584, 4292, 2146, 1073, 3220, 1610, 805, 2416, 1208, 604, 302, 151, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1],
      'N1' = 1271],
     [2542 > 1,
      0 is 2542 mod 2,
      1271 is 2542 // 2,
      collatz(1271, [1271, 3814, 1907, 5722, 2861, 8584, 4292, 2146, 1073, 3220, 1610, 805, 2416, 1208, 604, 302, 151, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1])]).
step(2542 > 1, builtin, [], []).
step(0 is 2542 mod 2, builtin, [], []).
step(1271 is 2542 // 2, builtin, [], []).
step(collatz(1271, [1271, 3814, 1907, 5722, 2861, 8584, 4292, 2146, 1073, 3220, 1610, 805, 2416, 1208, 604, 302, 151, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 1271,
      'J' = [3814, 1907, 5722, 2861, 8584, 4292, 2146, 1073, 3220, 1610, 805, 2416, 1208, 604, 302, 151, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1],
      'T' = 3813,
      'N1' = 3814],
     [1271 > 1,
      1 is 1271 mod 2,
      3813 is 3 * 1271,
      3814 is 3813 + 1,
      collatz(3814, [3814, 1907, 5722, 2861, 8584, 4292, 2146, 1073, 3220, 1610, 805, 2416, 1208, 604, 302, 151, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1])]).
step(1271 > 1, builtin, [], []).
step(1 is 1271 mod 2, builtin, [], []).
step(3813 is 3 * 1271, builtin, [], []).
step(3814 is 3813 + 1, builtin, [], []).
step(collatz(3814, [3814, 1907, 5722, 2861, 8584, 4292, 2146, 1073, 3220, 1610, 805, 2416, 1208, 604, 302, 151, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 3814,
      'J' = [1907, 5722, 2861, 8584, 4292, 2146, 1073, 3220, 1610, 805, 2416, 1208, 604, 302, 151, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1],
      'N1' = 1907],
     [3814 > 1,
      0 is 3814 mod 2,
      1907 is 3814 // 2,
      collatz(1907, [1907, 5722, 2861, 8584, 4292, 2146, 1073, 3220, 1610, 805, 2416, 1208, 604, 302, 151, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1])]).
step(3814 > 1, builtin, [], []).
step(0 is 3814 mod 2, builtin, [], []).
step(1907 is 3814 // 2, builtin, [], []).
step(collatz(1907, [1907, 5722, 2861, 8584, 4292, 2146, 1073, 3220, 1610, 805, 2416, 1208, 604, 302, 151, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 1907,
      'J' = [5722, 2861, 8584, 4292, 2146, 1073, 3220, 1610, 805, 2416, 1208, 604, 302, 151, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1],
      'T' = 5721,
      'N1' = 5722],
     [1907 > 1,
      1 is 1907 mod 2,
      5721 is 3 * 1907,
      5722 is 5721 + 1,
      collatz(5722, [5722, 2861, 8584, 4292, 2146, 1073, 3220, 1610, 805, 2416, 1208, 604, 302, 151, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1])]).
step(1907 > 1, builtin, [], []).
step(1 is 1907 mod 2, builtin, [], []).
step(5721 is 3 * 1907, builtin, [], []).
step(5722 is 5721 + 1, builtin, [], []).
step(collatz(5722, [5722, 2861, 8584, 4292, 2146, 1073, 3220, 1610, 805, 2416, 1208, 604, 302, 151, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 5722,
      'J' = [2861, 8584, 4292, 2146, 1073, 3220, 1610, 805, 2416, 1208, 604, 302, 151, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1],
      'N1' = 2861],
     [5722 > 1,
      0 is 5722 mod 2,
      2861 is 5722 // 2,
      collatz(2861, [2861, 8584, 4292, 2146, 1073, 3220, 1610, 805, 2416, 1208, 604, 302, 151, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1])]).
step(5722 > 1, builtin, [], []).
step(0 is 5722 mod 2, builtin, [], []).
step(2861 is 5722 // 2, builtin, [], []).
step(collatz(2861, [2861, 8584, 4292, 2146, 1073, 3220, 1610, 805, 2416, 1208, 604, 302, 151, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 2861,
      'J' = [8584, 4292, 2146, 1073, 3220, 1610, 805, 2416, 1208, 604, 302, 151, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1],
      'T' = 8583,
      'N1' = 8584],
     [2861 > 1,
      1 is 2861 mod 2,
      8583 is 3 * 2861,
      8584 is 8583 + 1,
      collatz(8584, [8584, 4292, 2146, 1073, 3220, 1610, 805, 2416, 1208, 604, 302, 151, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1])]).
step(2861 > 1, builtin, [], []).
step(1 is 2861 mod 2, builtin, [], []).
step(8583 is 3 * 2861, builtin, [], []).
step(8584 is 8583 + 1, builtin, [], []).
step(collatz(8584, [8584, 4292, 2146, 1073, 3220, 1610, 805, 2416, 1208, 604, 302, 151, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 8584,
      'J' = [4292, 2146, 1073, 3220, 1610, 805, 2416, 1208, 604, 302, 151, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1],
      'N1' = 4292],
     [8584 > 1,
      0 is 8584 mod 2,
      4292 is 8584 // 2,
      collatz(4292, [4292, 2146, 1073, 3220, 1610, 805, 2416, 1208, 604, 302, 151, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1])]).
step(8584 > 1, builtin, [], []).
step(0 is 8584 mod 2, builtin, [], []).
step(4292 is 8584 // 2, builtin, [], []).
step(collatz(4292, [4292, 2146, 1073, 3220, 1610, 805, 2416, 1208, 604, 302, 151, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 4292,
      'J' = [2146, 1073, 3220, 1610, 805, 2416, 1208, 604, 302, 151, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1],
      'N1' = 2146],
     [4292 > 1,
      0 is 4292 mod 2,
      2146 is 4292 // 2,
      collatz(2146, [2146, 1073, 3220, 1610, 805, 2416, 1208, 604, 302, 151, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1])]).
step(4292 > 1, builtin, [], []).
step(0 is 4292 mod 2, builtin, [], []).
step(2146 is 4292 // 2, builtin, [], []).
step(collatzTrajectory(890, [890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 890,
      'M' = [890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 110],
     [repeat(1000, 110),
      890 is 1000 - 110,
      collatz(890, [890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 110),
     rule(3),
     ['N' = 1000, 'I' = 110, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 110)]).
step(between(0, 999, 110), builtin, [], []).
step(890 is 1000 - 110, builtin, [], []).
step(collatzTrajectory(889, [889, 2668, 1334, 667, 2002, 1001, 3004, 1502, 751, 2254, 1127, 3382, 1691, 5074, 2537, 7612, 3806, 1903, 5710, 2855, 8566, 4283, 12850, 6425, 19276, 9638, 4819, 14458, 7229, 21688, 10844, 5422, 2711, 8134, 4067, 12202, 6101, 18304, 9152, 4576, 2288, 1144, 572, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 889,
      'M' = [889, 2668, 1334, 667, 2002, 1001, 3004, 1502, 751, 2254, 1127, 3382, 1691, 5074, 2537, 7612, 3806, 1903, 5710, 2855, 8566, 4283, 12850, 6425, 19276, 9638, 4819, 14458, 7229, 21688, 10844, 5422, 2711, 8134, 4067, 12202, 6101, 18304, 9152, 4576, 2288, 1144, 572, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 111],
     [repeat(1000, 111),
      889 is 1000 - 111,
      collatz(889, [889, 2668, 1334, 667, 2002, 1001, 3004, 1502, 751, 2254, 1127, 3382, 1691, 5074, 2537, 7612, 3806, 1903, 5710, 2855, 8566, 4283, 12850, 6425, 19276, 9638, 4819, 14458, 7229, 21688, 10844, 5422, 2711, 8134, 4067, 12202, 6101, 18304, 9152, 4576, 2288, 1144, 572, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 111),
     rule(3),
     ['N' = 1000, 'I' = 111, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 111)]).
step(between(0, 999, 111), builtin, [], []).
step(889 is 1000 - 111, builtin, [], []).
step(collatz(889, [889, 2668, 1334, 667, 2002, 1001, 3004, 1502, 751, 2254, 1127, 3382, 1691, 5074, 2537, 7612, 3806, 1903, 5710, 2855, 8566, 4283, 12850, 6425, 19276, 9638, 4819, 14458, 7229, 21688, 10844, 5422, 2711, 8134, 4067, 12202, 6101, 18304, 9152, 4576, 2288, 1144, 572, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 889,
      'J' = [2668, 1334, 667, 2002, 1001, 3004, 1502, 751, 2254, 1127, 3382, 1691, 5074, 2537, 7612, 3806, 1903, 5710, 2855, 8566, 4283, 12850, 6425, 19276, 9638, 4819, 14458, 7229, 21688, 10844, 5422, 2711, 8134, 4067, 12202, 6101, 18304, 9152, 4576, 2288, 1144, 572, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 2667,
      'N1' = 2668],
     [889 > 1,
      1 is 889 mod 2,
      2667 is 3 * 889,
      2668 is 2667 + 1,
      collatz(2668, [2668, 1334, 667, 2002, 1001, 3004, 1502, 751, 2254, 1127, 3382, 1691, 5074, 2537, 7612, 3806, 1903, 5710, 2855, 8566, 4283, 12850, 6425, 19276, 9638, 4819, 14458, 7229, 21688, 10844, 5422, 2711, 8134, 4067, 12202, 6101, 18304, 9152, 4576, 2288, 1144, 572, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(889 > 1, builtin, [], []).
step(1 is 889 mod 2, builtin, [], []).
step(2667 is 3 * 889, builtin, [], []).
step(2668 is 2667 + 1, builtin, [], []).
step(collatz(2668, [2668, 1334, 667, 2002, 1001, 3004, 1502, 751, 2254, 1127, 3382, 1691, 5074, 2537, 7612, 3806, 1903, 5710, 2855, 8566, 4283, 12850, 6425, 19276, 9638, 4819, 14458, 7229, 21688, 10844, 5422, 2711, 8134, 4067, 12202, 6101, 18304, 9152, 4576, 2288, 1144, 572, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 2668,
      'J' = [1334, 667, 2002, 1001, 3004, 1502, 751, 2254, 1127, 3382, 1691, 5074, 2537, 7612, 3806, 1903, 5710, 2855, 8566, 4283, 12850, 6425, 19276, 9638, 4819, 14458, 7229, 21688, 10844, 5422, 2711, 8134, 4067, 12202, 6101, 18304, 9152, 4576, 2288, 1144, 572, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1334],
     [2668 > 1,
      0 is 2668 mod 2,
      1334 is 2668 // 2,
      collatz(1334, [1334, 667, 2002, 1001, 3004, 1502, 751, 2254, 1127, 3382, 1691, 5074, 2537, 7612, 3806, 1903, 5710, 2855, 8566, 4283, 12850, 6425, 19276, 9638, 4819, 14458, 7229, 21688, 10844, 5422, 2711, 8134, 4067, 12202, 6101, 18304, 9152, 4576, 2288, 1144, 572, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2668 > 1, builtin, [], []).
step(0 is 2668 mod 2, builtin, [], []).
step(1334 is 2668 // 2, builtin, [], []).
step(collatz(1334, [1334, 667, 2002, 1001, 3004, 1502, 751, 2254, 1127, 3382, 1691, 5074, 2537, 7612, 3806, 1903, 5710, 2855, 8566, 4283, 12850, 6425, 19276, 9638, 4819, 14458, 7229, 21688, 10844, 5422, 2711, 8134, 4067, 12202, 6101, 18304, 9152, 4576, 2288, 1144, 572, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1334,
      'J' = [667, 2002, 1001, 3004, 1502, 751, 2254, 1127, 3382, 1691, 5074, 2537, 7612, 3806, 1903, 5710, 2855, 8566, 4283, 12850, 6425, 19276, 9638, 4819, 14458, 7229, 21688, 10844, 5422, 2711, 8134, 4067, 12202, 6101, 18304, 9152, 4576, 2288, 1144, 572, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 667],
     [1334 > 1,
      0 is 1334 mod 2,
      667 is 1334 // 2,
      collatz(667, [667, 2002, 1001, 3004, 1502, 751, 2254, 1127, 3382, 1691, 5074, 2537, 7612, 3806, 1903, 5710, 2855, 8566, 4283, 12850, 6425, 19276, 9638, 4819, 14458, 7229, 21688, 10844, 5422, 2711, 8134, 4067, 12202, 6101, 18304, 9152, 4576, 2288, 1144, 572, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1334 > 1, builtin, [], []).
step(0 is 1334 mod 2, builtin, [], []).
step(667 is 1334 // 2, builtin, [], []).
step(collatz(667, [667, 2002, 1001, 3004, 1502, 751, 2254, 1127, 3382, 1691, 5074, 2537, 7612, 3806, 1903, 5710, 2855, 8566, 4283, 12850, 6425, 19276, 9638, 4819, 14458, 7229, 21688, 10844, 5422, 2711, 8134, 4067, 12202, 6101, 18304, 9152, 4576, 2288, 1144, 572, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 667,
      'J' = [2002, 1001, 3004, 1502, 751, 2254, 1127, 3382, 1691, 5074, 2537, 7612, 3806, 1903, 5710, 2855, 8566, 4283, 12850, 6425, 19276, 9638, 4819, 14458, 7229, 21688, 10844, 5422, 2711, 8134, 4067, 12202, 6101, 18304, 9152, 4576, 2288, 1144, 572, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 2001,
      'N1' = 2002],
     [667 > 1,
      1 is 667 mod 2,
      2001 is 3 * 667,
      2002 is 2001 + 1,
      collatz(2002, [2002, 1001, 3004, 1502, 751, 2254, 1127, 3382, 1691, 5074, 2537, 7612, 3806, 1903, 5710, 2855, 8566, 4283, 12850, 6425, 19276, 9638, 4819, 14458, 7229, 21688, 10844, 5422, 2711, 8134, 4067, 12202, 6101, 18304, 9152, 4576, 2288, 1144, 572, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(667 > 1, builtin, [], []).
step(1 is 667 mod 2, builtin, [], []).
step(2001 is 3 * 667, builtin, [], []).
step(2002 is 2001 + 1, builtin, [], []).
step(collatz(2002, [2002, 1001, 3004, 1502, 751, 2254, 1127, 3382, 1691, 5074, 2537, 7612, 3806, 1903, 5710, 2855, 8566, 4283, 12850, 6425, 19276, 9638, 4819, 14458, 7229, 21688, 10844, 5422, 2711, 8134, 4067, 12202, 6101, 18304, 9152, 4576, 2288, 1144, 572, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 2002,
      'J' = [1001, 3004, 1502, 751, 2254, 1127, 3382, 1691, 5074, 2537, 7612, 3806, 1903, 5710, 2855, 8566, 4283, 12850, 6425, 19276, 9638, 4819, 14458, 7229, 21688, 10844, 5422, 2711, 8134, 4067, 12202, 6101, 18304, 9152, 4576, 2288, 1144, 572, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1001],
     [2002 > 1,
      0 is 2002 mod 2,
      1001 is 2002 // 2,
      collatz(1001, [1001, 3004, 1502, 751, 2254, 1127, 3382, 1691, 5074, 2537, 7612, 3806, 1903, 5710, 2855, 8566, 4283, 12850, 6425, 19276, 9638, 4819, 14458, 7229, 21688, 10844, 5422, 2711, 8134, 4067, 12202, 6101, 18304, 9152, 4576, 2288, 1144, 572, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2002 > 1, builtin, [], []).
step(0 is 2002 mod 2, builtin, [], []).
step(1001 is 2002 // 2, builtin, [], []).
step(collatz(1001, [1001, 3004, 1502, 751, 2254, 1127, 3382, 1691, 5074, 2537, 7612, 3806, 1903, 5710, 2855, 8566, 4283, 12850, 6425, 19276, 9638, 4819, 14458, 7229, 21688, 10844, 5422, 2711, 8134, 4067, 12202, 6101, 18304, 9152, 4576, 2288, 1144, 572, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 1001,
      'J' = [3004, 1502, 751, 2254, 1127, 3382, 1691, 5074, 2537, 7612, 3806, 1903, 5710, 2855, 8566, 4283, 12850, 6425, 19276, 9638, 4819, 14458, 7229, 21688, 10844, 5422, 2711, 8134, 4067, 12202, 6101, 18304, 9152, 4576, 2288, 1144, 572, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 3003,
      'N1' = 3004],
     [1001 > 1,
      1 is 1001 mod 2,
      3003 is 3 * 1001,
      3004 is 3003 + 1,
      collatz(3004, [3004, 1502, 751, 2254, 1127, 3382, 1691, 5074, 2537, 7612, 3806, 1903, 5710, 2855, 8566, 4283, 12850, 6425, 19276, 9638, 4819, 14458, 7229, 21688, 10844, 5422, 2711, 8134, 4067, 12202, 6101, 18304, 9152, 4576, 2288, 1144, 572, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1001 > 1, builtin, [], []).
step(1 is 1001 mod 2, builtin, [], []).
step(3003 is 3 * 1001, builtin, [], []).
step(3004 is 3003 + 1, builtin, [], []).
step(collatz(3004, [3004, 1502, 751, 2254, 1127, 3382, 1691, 5074, 2537, 7612, 3806, 1903, 5710, 2855, 8566, 4283, 12850, 6425, 19276, 9638, 4819, 14458, 7229, 21688, 10844, 5422, 2711, 8134, 4067, 12202, 6101, 18304, 9152, 4576, 2288, 1144, 572, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 3004,
      'J' = [1502, 751, 2254, 1127, 3382, 1691, 5074, 2537, 7612, 3806, 1903, 5710, 2855, 8566, 4283, 12850, 6425, 19276, 9638, 4819, 14458, 7229, 21688, 10844, 5422, 2711, 8134, 4067, 12202, 6101, 18304, 9152, 4576, 2288, 1144, 572, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1502],
     [3004 > 1,
      0 is 3004 mod 2,
      1502 is 3004 // 2,
      collatz(1502, [1502, 751, 2254, 1127, 3382, 1691, 5074, 2537, 7612, 3806, 1903, 5710, 2855, 8566, 4283, 12850, 6425, 19276, 9638, 4819, 14458, 7229, 21688, 10844, 5422, 2711, 8134, 4067, 12202, 6101, 18304, 9152, 4576, 2288, 1144, 572, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(3004 > 1, builtin, [], []).
step(0 is 3004 mod 2, builtin, [], []).
step(1502 is 3004 // 2, builtin, [], []).
step(collatz(1502, [1502, 751, 2254, 1127, 3382, 1691, 5074, 2537, 7612, 3806, 1903, 5710, 2855, 8566, 4283, 12850, 6425, 19276, 9638, 4819, 14458, 7229, 21688, 10844, 5422, 2711, 8134, 4067, 12202, 6101, 18304, 9152, 4576, 2288, 1144, 572, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1502,
      'J' = [751, 2254, 1127, 3382, 1691, 5074, 2537, 7612, 3806, 1903, 5710, 2855, 8566, 4283, 12850, 6425, 19276, 9638, 4819, 14458, 7229, 21688, 10844, 5422, 2711, 8134, 4067, 12202, 6101, 18304, 9152, 4576, 2288, 1144, 572, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 751],
     [1502 > 1,
      0 is 1502 mod 2,
      751 is 1502 // 2,
      collatz(751, [751, 2254, 1127, 3382, 1691, 5074, 2537, 7612, 3806, 1903, 5710, 2855, 8566, 4283, 12850, 6425, 19276, 9638, 4819, 14458, 7229, 21688, 10844, 5422, 2711, 8134, 4067, 12202, 6101, 18304, 9152, 4576, 2288, 1144, 572, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1502 > 1, builtin, [], []).
step(0 is 1502 mod 2, builtin, [], []).
step(751 is 1502 // 2, builtin, [], []).
step(collatz(751, [751, 2254, 1127, 3382, 1691, 5074, 2537, 7612, 3806, 1903, 5710, 2855, 8566, 4283, 12850, 6425, 19276, 9638, 4819, 14458, 7229, 21688, 10844, 5422, 2711, 8134, 4067, 12202, 6101, 18304, 9152, 4576, 2288, 1144, 572, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 751,
      'J' = [2254, 1127, 3382, 1691, 5074, 2537, 7612, 3806, 1903, 5710, 2855, 8566, 4283, 12850, 6425, 19276, 9638, 4819, 14458, 7229, 21688, 10844, 5422, 2711, 8134, 4067, 12202, 6101, 18304, 9152, 4576, 2288, 1144, 572, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 2253,
      'N1' = 2254],
     [751 > 1,
      1 is 751 mod 2,
      2253 is 3 * 751,
      2254 is 2253 + 1,
      collatz(2254, [2254, 1127, 3382, 1691, 5074, 2537, 7612, 3806, 1903, 5710, 2855, 8566, 4283, 12850, 6425, 19276, 9638, 4819, 14458, 7229, 21688, 10844, 5422, 2711, 8134, 4067, 12202, 6101, 18304, 9152, 4576, 2288, 1144, 572, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(751 > 1, builtin, [], []).
step(1 is 751 mod 2, builtin, [], []).
step(2253 is 3 * 751, builtin, [], []).
step(2254 is 2253 + 1, builtin, [], []).
step(collatz(2254, [2254, 1127, 3382, 1691, 5074, 2537, 7612, 3806, 1903, 5710, 2855, 8566, 4283, 12850, 6425, 19276, 9638, 4819, 14458, 7229, 21688, 10844, 5422, 2711, 8134, 4067, 12202, 6101, 18304, 9152, 4576, 2288, 1144, 572, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 2254,
      'J' = [1127, 3382, 1691, 5074, 2537, 7612, 3806, 1903, 5710, 2855, 8566, 4283, 12850, 6425, 19276, 9638, 4819, 14458, 7229, 21688, 10844, 5422, 2711, 8134, 4067, 12202, 6101, 18304, 9152, 4576, 2288, 1144, 572, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1127],
     [2254 > 1,
      0 is 2254 mod 2,
      1127 is 2254 // 2,
      collatz(1127, [1127, 3382, 1691, 5074, 2537, 7612, 3806, 1903, 5710, 2855, 8566, 4283, 12850, 6425, 19276, 9638, 4819, 14458, 7229, 21688, 10844, 5422, 2711, 8134, 4067, 12202, 6101, 18304, 9152, 4576, 2288, 1144, 572, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2254 > 1, builtin, [], []).
step(0 is 2254 mod 2, builtin, [], []).
step(1127 is 2254 // 2, builtin, [], []).
step(collatz(1127, [1127, 3382, 1691, 5074, 2537, 7612, 3806, 1903, 5710, 2855, 8566, 4283, 12850, 6425, 19276, 9638, 4819, 14458, 7229, 21688, 10844, 5422, 2711, 8134, 4067, 12202, 6101, 18304, 9152, 4576, 2288, 1144, 572, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 1127,
      'J' = [3382, 1691, 5074, 2537, 7612, 3806, 1903, 5710, 2855, 8566, 4283, 12850, 6425, 19276, 9638, 4819, 14458, 7229, 21688, 10844, 5422, 2711, 8134, 4067, 12202, 6101, 18304, 9152, 4576, 2288, 1144, 572, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 3381,
      'N1' = 3382],
     [1127 > 1,
      1 is 1127 mod 2,
      3381 is 3 * 1127,
      3382 is 3381 + 1,
      collatz(3382, [3382, 1691, 5074, 2537, 7612, 3806, 1903, 5710, 2855, 8566, 4283, 12850, 6425, 19276, 9638, 4819, 14458, 7229, 21688, 10844, 5422, 2711, 8134, 4067, 12202, 6101, 18304, 9152, 4576, 2288, 1144, 572, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1127 > 1, builtin, [], []).
step(1 is 1127 mod 2, builtin, [], []).
step(3381 is 3 * 1127, builtin, [], []).
step(3382 is 3381 + 1, builtin, [], []).
step(collatz(3382, [3382, 1691, 5074, 2537, 7612, 3806, 1903, 5710, 2855, 8566, 4283, 12850, 6425, 19276, 9638, 4819, 14458, 7229, 21688, 10844, 5422, 2711, 8134, 4067, 12202, 6101, 18304, 9152, 4576, 2288, 1144, 572, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 3382,
      'J' = [1691, 5074, 2537, 7612, 3806, 1903, 5710, 2855, 8566, 4283, 12850, 6425, 19276, 9638, 4819, 14458, 7229, 21688, 10844, 5422, 2711, 8134, 4067, 12202, 6101, 18304, 9152, 4576, 2288, 1144, 572, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1691],
     [3382 > 1,
      0 is 3382 mod 2,
      1691 is 3382 // 2,
      collatz(1691, [1691, 5074, 2537, 7612, 3806, 1903, 5710, 2855, 8566, 4283, 12850, 6425, 19276, 9638, 4819, 14458, 7229, 21688, 10844, 5422, 2711, 8134, 4067, 12202, 6101, 18304, 9152, 4576, 2288, 1144, 572, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(3382 > 1, builtin, [], []).
step(0 is 3382 mod 2, builtin, [], []).
step(1691 is 3382 // 2, builtin, [], []).
step(collatz(1691, [1691, 5074, 2537, 7612, 3806, 1903, 5710, 2855, 8566, 4283, 12850, 6425, 19276, 9638, 4819, 14458, 7229, 21688, 10844, 5422, 2711, 8134, 4067, 12202, 6101, 18304, 9152, 4576, 2288, 1144, 572, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 1691,
      'J' = [5074, 2537, 7612, 3806, 1903, 5710, 2855, 8566, 4283, 12850, 6425, 19276, 9638, 4819, 14458, 7229, 21688, 10844, 5422, 2711, 8134, 4067, 12202, 6101, 18304, 9152, 4576, 2288, 1144, 572, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 5073,
      'N1' = 5074],
     [1691 > 1,
      1 is 1691 mod 2,
      5073 is 3 * 1691,
      5074 is 5073 + 1,
      collatz(5074, [5074, 2537, 7612, 3806, 1903, 5710, 2855, 8566, 4283, 12850, 6425, 19276, 9638, 4819, 14458, 7229, 21688, 10844, 5422, 2711, 8134, 4067, 12202, 6101, 18304, 9152, 4576, 2288, 1144, 572, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1691 > 1, builtin, [], []).
step(1 is 1691 mod 2, builtin, [], []).
step(5073 is 3 * 1691, builtin, [], []).
step(5074 is 5073 + 1, builtin, [], []).
step(collatz(5074, [5074, 2537, 7612, 3806, 1903, 5710, 2855, 8566, 4283, 12850, 6425, 19276, 9638, 4819, 14458, 7229, 21688, 10844, 5422, 2711, 8134, 4067, 12202, 6101, 18304, 9152, 4576, 2288, 1144, 572, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 5074,
      'J' = [2537, 7612, 3806, 1903, 5710, 2855, 8566, 4283, 12850, 6425, 19276, 9638, 4819, 14458, 7229, 21688, 10844, 5422, 2711, 8134, 4067, 12202, 6101, 18304, 9152, 4576, 2288, 1144, 572, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 2537],
     [5074 > 1,
      0 is 5074 mod 2,
      2537 is 5074 // 2,
      collatz(2537, [2537, 7612, 3806, 1903, 5710, 2855, 8566, 4283, 12850, 6425, 19276, 9638, 4819, 14458, 7229, 21688, 10844, 5422, 2711, 8134, 4067, 12202, 6101, 18304, 9152, 4576, 2288, 1144, 572, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(5074 > 1, builtin, [], []).
step(0 is 5074 mod 2, builtin, [], []).
step(2537 is 5074 // 2, builtin, [], []).
step(collatz(2537, [2537, 7612, 3806, 1903, 5710, 2855, 8566, 4283, 12850, 6425, 19276, 9638, 4819, 14458, 7229, 21688, 10844, 5422, 2711, 8134, 4067, 12202, 6101, 18304, 9152, 4576, 2288, 1144, 572, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 2537,
      'J' = [7612, 3806, 1903, 5710, 2855, 8566, 4283, 12850, 6425, 19276, 9638, 4819, 14458, 7229, 21688, 10844, 5422, 2711, 8134, 4067, 12202, 6101, 18304, 9152, 4576, 2288, 1144, 572, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 7611,
      'N1' = 7612],
     [2537 > 1,
      1 is 2537 mod 2,
      7611 is 3 * 2537,
      7612 is 7611 + 1,
      collatz(7612, [7612, 3806, 1903, 5710, 2855, 8566, 4283, 12850, 6425, 19276, 9638, 4819, 14458, 7229, 21688, 10844, 5422, 2711, 8134, 4067, 12202, 6101, 18304, 9152, 4576, 2288, 1144, 572, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2537 > 1, builtin, [], []).
step(1 is 2537 mod 2, builtin, [], []).
step(7611 is 3 * 2537, builtin, [], []).
step(7612 is 7611 + 1, builtin, [], []).
step(collatz(7612, [7612, 3806, 1903, 5710, 2855, 8566, 4283, 12850, 6425, 19276, 9638, 4819, 14458, 7229, 21688, 10844, 5422, 2711, 8134, 4067, 12202, 6101, 18304, 9152, 4576, 2288, 1144, 572, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 7612,
      'J' = [3806, 1903, 5710, 2855, 8566, 4283, 12850, 6425, 19276, 9638, 4819, 14458, 7229, 21688, 10844, 5422, 2711, 8134, 4067, 12202, 6101, 18304, 9152, 4576, 2288, 1144, 572, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 3806],
     [7612 > 1,
      0 is 7612 mod 2,
      3806 is 7612 // 2,
      collatz(3806, [3806, 1903, 5710, 2855, 8566, 4283, 12850, 6425, 19276, 9638, 4819, 14458, 7229, 21688, 10844, 5422, 2711, 8134, 4067, 12202, 6101, 18304, 9152, 4576, 2288, 1144, 572, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(7612 > 1, builtin, [], []).
step(0 is 7612 mod 2, builtin, [], []).
step(3806 is 7612 // 2, builtin, [], []).
step(collatz(3806, [3806, 1903, 5710, 2855, 8566, 4283, 12850, 6425, 19276, 9638, 4819, 14458, 7229, 21688, 10844, 5422, 2711, 8134, 4067, 12202, 6101, 18304, 9152, 4576, 2288, 1144, 572, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 3806,
      'J' = [1903, 5710, 2855, 8566, 4283, 12850, 6425, 19276, 9638, 4819, 14458, 7229, 21688, 10844, 5422, 2711, 8134, 4067, 12202, 6101, 18304, 9152, 4576, 2288, 1144, 572, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1903],
     [3806 > 1,
      0 is 3806 mod 2,
      1903 is 3806 // 2,
      collatz(1903, [1903, 5710, 2855, 8566, 4283, 12850, 6425, 19276, 9638, 4819, 14458, 7229, 21688, 10844, 5422, 2711, 8134, 4067, 12202, 6101, 18304, 9152, 4576, 2288, 1144, 572, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(3806 > 1, builtin, [], []).
step(0 is 3806 mod 2, builtin, [], []).
step(1903 is 3806 // 2, builtin, [], []).
step(collatz(1903, [1903, 5710, 2855, 8566, 4283, 12850, 6425, 19276, 9638, 4819, 14458, 7229, 21688, 10844, 5422, 2711, 8134, 4067, 12202, 6101, 18304, 9152, 4576, 2288, 1144, 572, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 1903,
      'J' = [5710, 2855, 8566, 4283, 12850, 6425, 19276, 9638, 4819, 14458, 7229, 21688, 10844, 5422, 2711, 8134, 4067, 12202, 6101, 18304, 9152, 4576, 2288, 1144, 572, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 5709,
      'N1' = 5710],
     [1903 > 1,
      1 is 1903 mod 2,
      5709 is 3 * 1903,
      5710 is 5709 + 1,
      collatz(5710, [5710, 2855, 8566, 4283, 12850, 6425, 19276, 9638, 4819, 14458, 7229, 21688, 10844, 5422, 2711, 8134, 4067, 12202, 6101, 18304, 9152, 4576, 2288, 1144, 572, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1903 > 1, builtin, [], []).
step(1 is 1903 mod 2, builtin, [], []).
step(5709 is 3 * 1903, builtin, [], []).
step(5710 is 5709 + 1, builtin, [], []).
step(collatz(5710, [5710, 2855, 8566, 4283, 12850, 6425, 19276, 9638, 4819, 14458, 7229, 21688, 10844, 5422, 2711, 8134, 4067, 12202, 6101, 18304, 9152, 4576, 2288, 1144, 572, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 5710,
      'J' = [2855, 8566, 4283, 12850, 6425, 19276, 9638, 4819, 14458, 7229, 21688, 10844, 5422, 2711, 8134, 4067, 12202, 6101, 18304, 9152, 4576, 2288, 1144, 572, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 2855],
     [5710 > 1,
      0 is 5710 mod 2,
      2855 is 5710 // 2,
      collatz(2855, [2855, 8566, 4283, 12850, 6425, 19276, 9638, 4819, 14458, 7229, 21688, 10844, 5422, 2711, 8134, 4067, 12202, 6101, 18304, 9152, 4576, 2288, 1144, 572, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(5710 > 1, builtin, [], []).
step(0 is 5710 mod 2, builtin, [], []).
step(2855 is 5710 // 2, builtin, [], []).
step(collatz(2855, [2855, 8566, 4283, 12850, 6425, 19276, 9638, 4819, 14458, 7229, 21688, 10844, 5422, 2711, 8134, 4067, 12202, 6101, 18304, 9152, 4576, 2288, 1144, 572, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 2855,
      'J' = [8566, 4283, 12850, 6425, 19276, 9638, 4819, 14458, 7229, 21688, 10844, 5422, 2711, 8134, 4067, 12202, 6101, 18304, 9152, 4576, 2288, 1144, 572, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 8565,
      'N1' = 8566],
     [2855 > 1,
      1 is 2855 mod 2,
      8565 is 3 * 2855,
      8566 is 8565 + 1,
      collatz(8566, [8566, 4283, 12850, 6425, 19276, 9638, 4819, 14458, 7229, 21688, 10844, 5422, 2711, 8134, 4067, 12202, 6101, 18304, 9152, 4576, 2288, 1144, 572, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2855 > 1, builtin, [], []).
step(1 is 2855 mod 2, builtin, [], []).
step(8565 is 3 * 2855, builtin, [], []).
step(8566 is 8565 + 1, builtin, [], []).
step(collatz(8566, [8566, 4283, 12850, 6425, 19276, 9638, 4819, 14458, 7229, 21688, 10844, 5422, 2711, 8134, 4067, 12202, 6101, 18304, 9152, 4576, 2288, 1144, 572, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 8566,
      'J' = [4283, 12850, 6425, 19276, 9638, 4819, 14458, 7229, 21688, 10844, 5422, 2711, 8134, 4067, 12202, 6101, 18304, 9152, 4576, 2288, 1144, 572, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 4283],
     [8566 > 1,
      0 is 8566 mod 2,
      4283 is 8566 // 2,
      collatz(4283, [4283, 12850, 6425, 19276, 9638, 4819, 14458, 7229, 21688, 10844, 5422, 2711, 8134, 4067, 12202, 6101, 18304, 9152, 4576, 2288, 1144, 572, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(8566 > 1, builtin, [], []).
step(0 is 8566 mod 2, builtin, [], []).
step(4283 is 8566 // 2, builtin, [], []).
step(collatz(4283, [4283, 12850, 6425, 19276, 9638, 4819, 14458, 7229, 21688, 10844, 5422, 2711, 8134, 4067, 12202, 6101, 18304, 9152, 4576, 2288, 1144, 572, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 4283,
      'J' = [12850, 6425, 19276, 9638, 4819, 14458, 7229, 21688, 10844, 5422, 2711, 8134, 4067, 12202, 6101, 18304, 9152, 4576, 2288, 1144, 572, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 12849,
      'N1' = 12850],
     [4283 > 1,
      1 is 4283 mod 2,
      12849 is 3 * 4283,
      12850 is 12849 + 1,
      collatz(12850, [12850, 6425, 19276, 9638, 4819, 14458, 7229, 21688, 10844, 5422, 2711, 8134, 4067, 12202, 6101, 18304, 9152, 4576, 2288, 1144, 572, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(4283 > 1, builtin, [], []).
step(1 is 4283 mod 2, builtin, [], []).
step(12849 is 3 * 4283, builtin, [], []).
step(12850 is 12849 + 1, builtin, [], []).
step(collatz(12850, [12850, 6425, 19276, 9638, 4819, 14458, 7229, 21688, 10844, 5422, 2711, 8134, 4067, 12202, 6101, 18304, 9152, 4576, 2288, 1144, 572, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 12850,
      'J' = [6425, 19276, 9638, 4819, 14458, 7229, 21688, 10844, 5422, 2711, 8134, 4067, 12202, 6101, 18304, 9152, 4576, 2288, 1144, 572, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 6425],
     [12850 > 1,
      0 is 12850 mod 2,
      6425 is 12850 // 2,
      collatz(6425, [6425, 19276, 9638, 4819, 14458, 7229, 21688, 10844, 5422, 2711, 8134, 4067, 12202, 6101, 18304, 9152, 4576, 2288, 1144, 572, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(12850 > 1, builtin, [], []).
step(0 is 12850 mod 2, builtin, [], []).
step(6425 is 12850 // 2, builtin, [], []).
step(collatz(6425, [6425, 19276, 9638, 4819, 14458, 7229, 21688, 10844, 5422, 2711, 8134, 4067, 12202, 6101, 18304, 9152, 4576, 2288, 1144, 572, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 6425,
      'J' = [19276, 9638, 4819, 14458, 7229, 21688, 10844, 5422, 2711, 8134, 4067, 12202, 6101, 18304, 9152, 4576, 2288, 1144, 572, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 19275,
      'N1' = 19276],
     [6425 > 1,
      1 is 6425 mod 2,
      19275 is 3 * 6425,
      19276 is 19275 + 1,
      collatz(19276, [19276, 9638, 4819, 14458, 7229, 21688, 10844, 5422, 2711, 8134, 4067, 12202, 6101, 18304, 9152, 4576, 2288, 1144, 572, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(6425 > 1, builtin, [], []).
step(1 is 6425 mod 2, builtin, [], []).
step(19275 is 3 * 6425, builtin, [], []).
step(19276 is 19275 + 1, builtin, [], []).
step(collatz(19276, [19276, 9638, 4819, 14458, 7229, 21688, 10844, 5422, 2711, 8134, 4067, 12202, 6101, 18304, 9152, 4576, 2288, 1144, 572, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 19276,
      'J' = [9638, 4819, 14458, 7229, 21688, 10844, 5422, 2711, 8134, 4067, 12202, 6101, 18304, 9152, 4576, 2288, 1144, 572, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 9638],
     [19276 > 1,
      0 is 19276 mod 2,
      9638 is 19276 // 2,
      collatz(9638, [9638, 4819, 14458, 7229, 21688, 10844, 5422, 2711, 8134, 4067, 12202, 6101, 18304, 9152, 4576, 2288, 1144, 572, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(19276 > 1, builtin, [], []).
step(0 is 19276 mod 2, builtin, [], []).
step(9638 is 19276 // 2, builtin, [], []).
step(collatz(9638, [9638, 4819, 14458, 7229, 21688, 10844, 5422, 2711, 8134, 4067, 12202, 6101, 18304, 9152, 4576, 2288, 1144, 572, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 9638,
      'J' = [4819, 14458, 7229, 21688, 10844, 5422, 2711, 8134, 4067, 12202, 6101, 18304, 9152, 4576, 2288, 1144, 572, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 4819],
     [9638 > 1,
      0 is 9638 mod 2,
      4819 is 9638 // 2,
      collatz(4819, [4819, 14458, 7229, 21688, 10844, 5422, 2711, 8134, 4067, 12202, 6101, 18304, 9152, 4576, 2288, 1144, 572, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(9638 > 1, builtin, [], []).
step(0 is 9638 mod 2, builtin, [], []).
step(4819 is 9638 // 2, builtin, [], []).
step(collatz(4819, [4819, 14458, 7229, 21688, 10844, 5422, 2711, 8134, 4067, 12202, 6101, 18304, 9152, 4576, 2288, 1144, 572, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 4819,
      'J' = [14458, 7229, 21688, 10844, 5422, 2711, 8134, 4067, 12202, 6101, 18304, 9152, 4576, 2288, 1144, 572, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 14457,
      'N1' = 14458],
     [4819 > 1,
      1 is 4819 mod 2,
      14457 is 3 * 4819,
      14458 is 14457 + 1,
      collatz(14458, [14458, 7229, 21688, 10844, 5422, 2711, 8134, 4067, 12202, 6101, 18304, 9152, 4576, 2288, 1144, 572, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(4819 > 1, builtin, [], []).
step(1 is 4819 mod 2, builtin, [], []).
step(14457 is 3 * 4819, builtin, [], []).
step(14458 is 14457 + 1, builtin, [], []).
step(collatz(14458, [14458, 7229, 21688, 10844, 5422, 2711, 8134, 4067, 12202, 6101, 18304, 9152, 4576, 2288, 1144, 572, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 14458,
      'J' = [7229, 21688, 10844, 5422, 2711, 8134, 4067, 12202, 6101, 18304, 9152, 4576, 2288, 1144, 572, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 7229],
     [14458 > 1,
      0 is 14458 mod 2,
      7229 is 14458 // 2,
      collatz(7229, [7229, 21688, 10844, 5422, 2711, 8134, 4067, 12202, 6101, 18304, 9152, 4576, 2288, 1144, 572, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(14458 > 1, builtin, [], []).
step(0 is 14458 mod 2, builtin, [], []).
step(7229 is 14458 // 2, builtin, [], []).
step(collatz(7229, [7229, 21688, 10844, 5422, 2711, 8134, 4067, 12202, 6101, 18304, 9152, 4576, 2288, 1144, 572, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 7229,
      'J' = [21688, 10844, 5422, 2711, 8134, 4067, 12202, 6101, 18304, 9152, 4576, 2288, 1144, 572, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 21687,
      'N1' = 21688],
     [7229 > 1,
      1 is 7229 mod 2,
      21687 is 3 * 7229,
      21688 is 21687 + 1,
      collatz(21688, [21688, 10844, 5422, 2711, 8134, 4067, 12202, 6101, 18304, 9152, 4576, 2288, 1144, 572, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(7229 > 1, builtin, [], []).
step(1 is 7229 mod 2, builtin, [], []).
step(21687 is 3 * 7229, builtin, [], []).
step(21688 is 21687 + 1, builtin, [], []).
step(collatz(21688, [21688, 10844, 5422, 2711, 8134, 4067, 12202, 6101, 18304, 9152, 4576, 2288, 1144, 572, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 21688,
      'J' = [10844, 5422, 2711, 8134, 4067, 12202, 6101, 18304, 9152, 4576, 2288, 1144, 572, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 10844],
     [21688 > 1,
      0 is 21688 mod 2,
      10844 is 21688 // 2,
      collatz(10844, [10844, 5422, 2711, 8134, 4067, 12202, 6101, 18304, 9152, 4576, 2288, 1144, 572, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(21688 > 1, builtin, [], []).
step(0 is 21688 mod 2, builtin, [], []).
step(10844 is 21688 // 2, builtin, [], []).
step(collatz(10844, [10844, 5422, 2711, 8134, 4067, 12202, 6101, 18304, 9152, 4576, 2288, 1144, 572, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 10844,
      'J' = [5422, 2711, 8134, 4067, 12202, 6101, 18304, 9152, 4576, 2288, 1144, 572, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 5422],
     [10844 > 1,
      0 is 10844 mod 2,
      5422 is 10844 // 2,
      collatz(5422, [5422, 2711, 8134, 4067, 12202, 6101, 18304, 9152, 4576, 2288, 1144, 572, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(10844 > 1, builtin, [], []).
step(0 is 10844 mod 2, builtin, [], []).
step(5422 is 10844 // 2, builtin, [], []).
step(collatz(5422, [5422, 2711, 8134, 4067, 12202, 6101, 18304, 9152, 4576, 2288, 1144, 572, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 5422,
      'J' = [2711, 8134, 4067, 12202, 6101, 18304, 9152, 4576, 2288, 1144, 572, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 2711],
     [5422 > 1,
      0 is 5422 mod 2,
      2711 is 5422 // 2,
      collatz(2711, [2711, 8134, 4067, 12202, 6101, 18304, 9152, 4576, 2288, 1144, 572, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(5422 > 1, builtin, [], []).
step(0 is 5422 mod 2, builtin, [], []).
step(2711 is 5422 // 2, builtin, [], []).
step(collatz(2711, [2711, 8134, 4067, 12202, 6101, 18304, 9152, 4576, 2288, 1144, 572, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 2711,
      'J' = [8134, 4067, 12202, 6101, 18304, 9152, 4576, 2288, 1144, 572, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 8133,
      'N1' = 8134],
     [2711 > 1,
      1 is 2711 mod 2,
      8133 is 3 * 2711,
      8134 is 8133 + 1,
      collatz(8134, [8134, 4067, 12202, 6101, 18304, 9152, 4576, 2288, 1144, 572, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2711 > 1, builtin, [], []).
step(1 is 2711 mod 2, builtin, [], []).
step(8133 is 3 * 2711, builtin, [], []).
step(8134 is 8133 + 1, builtin, [], []).
step(collatz(8134, [8134, 4067, 12202, 6101, 18304, 9152, 4576, 2288, 1144, 572, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 8134,
      'J' = [4067, 12202, 6101, 18304, 9152, 4576, 2288, 1144, 572, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 4067],
     [8134 > 1,
      0 is 8134 mod 2,
      4067 is 8134 // 2,
      collatz(4067, [4067, 12202, 6101, 18304, 9152, 4576, 2288, 1144, 572, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(8134 > 1, builtin, [], []).
step(0 is 8134 mod 2, builtin, [], []).
step(4067 is 8134 // 2, builtin, [], []).
step(collatz(4067, [4067, 12202, 6101, 18304, 9152, 4576, 2288, 1144, 572, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 4067,
      'J' = [12202, 6101, 18304, 9152, 4576, 2288, 1144, 572, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 12201,
      'N1' = 12202],
     [4067 > 1,
      1 is 4067 mod 2,
      12201 is 3 * 4067,
      12202 is 12201 + 1,
      collatz(12202, [12202, 6101, 18304, 9152, 4576, 2288, 1144, 572, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(4067 > 1, builtin, [], []).
step(1 is 4067 mod 2, builtin, [], []).
step(12201 is 3 * 4067, builtin, [], []).
step(12202 is 12201 + 1, builtin, [], []).
step(collatz(12202, [12202, 6101, 18304, 9152, 4576, 2288, 1144, 572, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 12202,
      'J' = [6101, 18304, 9152, 4576, 2288, 1144, 572, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 6101],
     [12202 > 1,
      0 is 12202 mod 2,
      6101 is 12202 // 2,
      collatz(6101, [6101, 18304, 9152, 4576, 2288, 1144, 572, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(12202 > 1, builtin, [], []).
step(0 is 12202 mod 2, builtin, [], []).
step(6101 is 12202 // 2, builtin, [], []).
step(collatz(6101, [6101, 18304, 9152, 4576, 2288, 1144, 572, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 6101,
      'J' = [18304, 9152, 4576, 2288, 1144, 572, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 18303,
      'N1' = 18304],
     [6101 > 1,
      1 is 6101 mod 2,
      18303 is 3 * 6101,
      18304 is 18303 + 1,
      collatz(18304, [18304, 9152, 4576, 2288, 1144, 572, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(6101 > 1, builtin, [], []).
step(1 is 6101 mod 2, builtin, [], []).
step(18303 is 3 * 6101, builtin, [], []).
step(18304 is 18303 + 1, builtin, [], []).
step(collatz(18304, [18304, 9152, 4576, 2288, 1144, 572, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 18304,
      'J' = [9152, 4576, 2288, 1144, 572, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 9152],
     [18304 > 1,
      0 is 18304 mod 2,
      9152 is 18304 // 2,
      collatz(9152, [9152, 4576, 2288, 1144, 572, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(18304 > 1, builtin, [], []).
step(0 is 18304 mod 2, builtin, [], []).
step(9152 is 18304 // 2, builtin, [], []).
step(collatz(9152, [9152, 4576, 2288, 1144, 572, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 9152,
      'J' = [4576, 2288, 1144, 572, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 4576],
     [9152 > 1,
      0 is 9152 mod 2,
      4576 is 9152 // 2,
      collatz(4576, [4576, 2288, 1144, 572, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(9152 > 1, builtin, [], []).
step(0 is 9152 mod 2, builtin, [], []).
step(4576 is 9152 // 2, builtin, [], []).
step(collatzTrajectory(888, [888, 444, 222, 111, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 888,
      'M' = [888, 444, 222, 111, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 112],
     [repeat(1000, 112),
      888 is 1000 - 112,
      collatz(888, [888, 444, 222, 111, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 112),
     rule(3),
     ['N' = 1000, 'I' = 112, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 112)]).
step(between(0, 999, 112), builtin, [], []).
step(888 is 1000 - 112, builtin, [], []).
step(collatz(888, [888, 444, 222, 111, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 888,
      'J' = [444, 222, 111, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 444],
     [888 > 1,
      0 is 888 mod 2,
      444 is 888 // 2,
      collatz(444, [444, 222, 111, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(888 > 1, builtin, [], []).
step(0 is 888 mod 2, builtin, [], []).
step(444 is 888 // 2, builtin, [], []).
step(collatz(444, [444, 222, 111, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 444,
      'J' = [222, 111, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 222],
     [444 > 1,
      0 is 444 mod 2,
      222 is 444 // 2,
      collatz(222, [222, 111, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(444 > 1, builtin, [], []).
step(0 is 444 mod 2, builtin, [], []).
step(222 is 444 // 2, builtin, [], []).
step(collatz(222, [222, 111, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 222,
      'J' = [111, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 111],
     [222 > 1,
      0 is 222 mod 2,
      111 is 222 // 2,
      collatz(111, [111, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(222 > 1, builtin, [], []).
step(0 is 222 mod 2, builtin, [], []).
step(111 is 222 // 2, builtin, [], []).
step(collatz(111, [111, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 111,
      'J' = [334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 333,
      'N1' = 334],
     [111 > 1,
      1 is 111 mod 2,
      333 is 3 * 111,
      334 is 333 + 1,
      collatz(334, [334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(111 > 1, builtin, [], []).
step(1 is 111 mod 2, builtin, [], []).
step(333 is 3 * 111, builtin, [], []).
step(334 is 333 + 1, builtin, [], []).
step(collatzTrajectory(887, [887, 2662, 1331, 3994, 1997, 5992, 2996, 1498, 749, 2248, 1124, 562, 281, 844, 422, 211, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 887,
      'M' = [887, 2662, 1331, 3994, 1997, 5992, 2996, 1498, 749, 2248, 1124, 562, 281, 844, 422, 211, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 113],
     [repeat(1000, 113),
      887 is 1000 - 113,
      collatz(887, [887, 2662, 1331, 3994, 1997, 5992, 2996, 1498, 749, 2248, 1124, 562, 281, 844, 422, 211, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 113),
     rule(3),
     ['N' = 1000, 'I' = 113, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 113)]).
step(between(0, 999, 113), builtin, [], []).
step(887 is 1000 - 113, builtin, [], []).
step(collatz(887, [887, 2662, 1331, 3994, 1997, 5992, 2996, 1498, 749, 2248, 1124, 562, 281, 844, 422, 211, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 887,
      'J' = [2662, 1331, 3994, 1997, 5992, 2996, 1498, 749, 2248, 1124, 562, 281, 844, 422, 211, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 2661,
      'N1' = 2662],
     [887 > 1,
      1 is 887 mod 2,
      2661 is 3 * 887,
      2662 is 2661 + 1,
      collatz(2662, [2662, 1331, 3994, 1997, 5992, 2996, 1498, 749, 2248, 1124, 562, 281, 844, 422, 211, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(887 > 1, builtin, [], []).
step(1 is 887 mod 2, builtin, [], []).
step(2661 is 3 * 887, builtin, [], []).
step(2662 is 2661 + 1, builtin, [], []).
step(collatz(2662, [2662, 1331, 3994, 1997, 5992, 2996, 1498, 749, 2248, 1124, 562, 281, 844, 422, 211, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 2662,
      'J' = [1331, 3994, 1997, 5992, 2996, 1498, 749, 2248, 1124, 562, 281, 844, 422, 211, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1331],
     [2662 > 1,
      0 is 2662 mod 2,
      1331 is 2662 // 2,
      collatz(1331, [1331, 3994, 1997, 5992, 2996, 1498, 749, 2248, 1124, 562, 281, 844, 422, 211, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2662 > 1, builtin, [], []).
step(0 is 2662 mod 2, builtin, [], []).
step(1331 is 2662 // 2, builtin, [], []).
step(collatz(1331, [1331, 3994, 1997, 5992, 2996, 1498, 749, 2248, 1124, 562, 281, 844, 422, 211, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 1331,
      'J' = [3994, 1997, 5992, 2996, 1498, 749, 2248, 1124, 562, 281, 844, 422, 211, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 3993,
      'N1' = 3994],
     [1331 > 1,
      1 is 1331 mod 2,
      3993 is 3 * 1331,
      3994 is 3993 + 1,
      collatz(3994, [3994, 1997, 5992, 2996, 1498, 749, 2248, 1124, 562, 281, 844, 422, 211, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1331 > 1, builtin, [], []).
step(1 is 1331 mod 2, builtin, [], []).
step(3993 is 3 * 1331, builtin, [], []).
step(3994 is 3993 + 1, builtin, [], []).
step(collatz(3994, [3994, 1997, 5992, 2996, 1498, 749, 2248, 1124, 562, 281, 844, 422, 211, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 3994,
      'J' = [1997, 5992, 2996, 1498, 749, 2248, 1124, 562, 281, 844, 422, 211, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1997],
     [3994 > 1,
      0 is 3994 mod 2,
      1997 is 3994 // 2,
      collatz(1997, [1997, 5992, 2996, 1498, 749, 2248, 1124, 562, 281, 844, 422, 211, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(3994 > 1, builtin, [], []).
step(0 is 3994 mod 2, builtin, [], []).
step(1997 is 3994 // 2, builtin, [], []).
step(collatz(1997, [1997, 5992, 2996, 1498, 749, 2248, 1124, 562, 281, 844, 422, 211, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 1997,
      'J' = [5992, 2996, 1498, 749, 2248, 1124, 562, 281, 844, 422, 211, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 5991,
      'N1' = 5992],
     [1997 > 1,
      1 is 1997 mod 2,
      5991 is 3 * 1997,
      5992 is 5991 + 1,
      collatz(5992, [5992, 2996, 1498, 749, 2248, 1124, 562, 281, 844, 422, 211, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1997 > 1, builtin, [], []).
step(1 is 1997 mod 2, builtin, [], []).
step(5991 is 3 * 1997, builtin, [], []).
step(5992 is 5991 + 1, builtin, [], []).
step(collatz(5992, [5992, 2996, 1498, 749, 2248, 1124, 562, 281, 844, 422, 211, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 5992,
      'J' = [2996, 1498, 749, 2248, 1124, 562, 281, 844, 422, 211, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 2996],
     [5992 > 1,
      0 is 5992 mod 2,
      2996 is 5992 // 2,
      collatz(2996, [2996, 1498, 749, 2248, 1124, 562, 281, 844, 422, 211, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(5992 > 1, builtin, [], []).
step(0 is 5992 mod 2, builtin, [], []).
step(2996 is 5992 // 2, builtin, [], []).
step(collatz(2996, [2996, 1498, 749, 2248, 1124, 562, 281, 844, 422, 211, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 2996,
      'J' = [1498, 749, 2248, 1124, 562, 281, 844, 422, 211, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1498],
     [2996 > 1,
      0 is 2996 mod 2,
      1498 is 2996 // 2,
      collatz(1498, [1498, 749, 2248, 1124, 562, 281, 844, 422, 211, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2996 > 1, builtin, [], []).
step(0 is 2996 mod 2, builtin, [], []).
step(1498 is 2996 // 2, builtin, [], []).
step(collatzTrajectory(886, [886, 443, 1330, 665, 1996, 998, 499, 1498, 749, 2248, 1124, 562, 281, 844, 422, 211, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 886,
      'M' = [886, 443, 1330, 665, 1996, 998, 499, 1498, 749, 2248, 1124, 562, 281, 844, 422, 211, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 114],
     [repeat(1000, 114),
      886 is 1000 - 114,
      collatz(886, [886, 443, 1330, 665, 1996, 998, 499, 1498, 749, 2248, 1124, 562, 281, 844, 422, 211, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 114),
     rule(3),
     ['N' = 1000, 'I' = 114, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 114)]).
step(between(0, 999, 114), builtin, [], []).
step(886 is 1000 - 114, builtin, [], []).
step(collatz(886, [886, 443, 1330, 665, 1996, 998, 499, 1498, 749, 2248, 1124, 562, 281, 844, 422, 211, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 886,
      'J' = [443, 1330, 665, 1996, 998, 499, 1498, 749, 2248, 1124, 562, 281, 844, 422, 211, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 443],
     [886 > 1,
      0 is 886 mod 2,
      443 is 886 // 2,
      collatz(443, [443, 1330, 665, 1996, 998, 499, 1498, 749, 2248, 1124, 562, 281, 844, 422, 211, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(886 > 1, builtin, [], []).
step(0 is 886 mod 2, builtin, [], []).
step(443 is 886 // 2, builtin, [], []).
step(collatz(443, [443, 1330, 665, 1996, 998, 499, 1498, 749, 2248, 1124, 562, 281, 844, 422, 211, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 443,
      'J' = [1330, 665, 1996, 998, 499, 1498, 749, 2248, 1124, 562, 281, 844, 422, 211, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 1329,
      'N1' = 1330],
     [443 > 1,
      1 is 443 mod 2,
      1329 is 3 * 443,
      1330 is 1329 + 1,
      collatz(1330, [1330, 665, 1996, 998, 499, 1498, 749, 2248, 1124, 562, 281, 844, 422, 211, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(443 > 1, builtin, [], []).
step(1 is 443 mod 2, builtin, [], []).
step(1329 is 3 * 443, builtin, [], []).
step(1330 is 1329 + 1, builtin, [], []).
step(collatz(1330, [1330, 665, 1996, 998, 499, 1498, 749, 2248, 1124, 562, 281, 844, 422, 211, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1330,
      'J' = [665, 1996, 998, 499, 1498, 749, 2248, 1124, 562, 281, 844, 422, 211, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 665],
     [1330 > 1,
      0 is 1330 mod 2,
      665 is 1330 // 2,
      collatz(665, [665, 1996, 998, 499, 1498, 749, 2248, 1124, 562, 281, 844, 422, 211, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1330 > 1, builtin, [], []).
step(0 is 1330 mod 2, builtin, [], []).
step(665 is 1330 // 2, builtin, [], []).
step(collatz(665, [665, 1996, 998, 499, 1498, 749, 2248, 1124, 562, 281, 844, 422, 211, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 665,
      'J' = [1996, 998, 499, 1498, 749, 2248, 1124, 562, 281, 844, 422, 211, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 1995,
      'N1' = 1996],
     [665 > 1,
      1 is 665 mod 2,
      1995 is 3 * 665,
      1996 is 1995 + 1,
      collatz(1996, [1996, 998, 499, 1498, 749, 2248, 1124, 562, 281, 844, 422, 211, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(665 > 1, builtin, [], []).
step(1 is 665 mod 2, builtin, [], []).
step(1995 is 3 * 665, builtin, [], []).
step(1996 is 1995 + 1, builtin, [], []).
step(collatz(1996, [1996, 998, 499, 1498, 749, 2248, 1124, 562, 281, 844, 422, 211, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1996,
      'J' = [998, 499, 1498, 749, 2248, 1124, 562, 281, 844, 422, 211, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 998],
     [1996 > 1,
      0 is 1996 mod 2,
      998 is 1996 // 2,
      collatz(998, [998, 499, 1498, 749, 2248, 1124, 562, 281, 844, 422, 211, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1996 > 1, builtin, [], []).
step(0 is 1996 mod 2, builtin, [], []).
step(998 is 1996 // 2, builtin, [], []).
step(collatzTrajectory(885, [885, 2656, 1328, 664, 332, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 885,
      'M' = [885, 2656, 1328, 664, 332, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 115],
     [repeat(1000, 115),
      885 is 1000 - 115,
      collatz(885, [885, 2656, 1328, 664, 332, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 115),
     rule(3),
     ['N' = 1000, 'I' = 115, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 115)]).
step(between(0, 999, 115), builtin, [], []).
step(885 is 1000 - 115, builtin, [], []).
step(collatz(885, [885, 2656, 1328, 664, 332, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 885,
      'J' = [2656, 1328, 664, 332, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 2655,
      'N1' = 2656],
     [885 > 1,
      1 is 885 mod 2,
      2655 is 3 * 885,
      2656 is 2655 + 1,
      collatz(2656, [2656, 1328, 664, 332, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(885 > 1, builtin, [], []).
step(1 is 885 mod 2, builtin, [], []).
step(2655 is 3 * 885, builtin, [], []).
step(2656 is 2655 + 1, builtin, [], []).
step(collatz(2656, [2656, 1328, 664, 332, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 2656,
      'J' = [1328, 664, 332, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1328],
     [2656 > 1,
      0 is 2656 mod 2,
      1328 is 2656 // 2,
      collatz(1328, [1328, 664, 332, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2656 > 1, builtin, [], []).
step(0 is 2656 mod 2, builtin, [], []).
step(1328 is 2656 // 2, builtin, [], []).
step(collatz(1328, [1328, 664, 332, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1328,
      'J' = [664, 332, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 664],
     [1328 > 1,
      0 is 1328 mod 2,
      664 is 1328 // 2,
      collatz(664, [664, 332, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1328 > 1, builtin, [], []).
step(0 is 1328 mod 2, builtin, [], []).
step(664 is 1328 // 2, builtin, [], []).
step(collatzTrajectory(884, [884, 442, 221, 664, 332, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 884,
      'M' = [884, 442, 221, 664, 332, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 116],
     [repeat(1000, 116),
      884 is 1000 - 116,
      collatz(884, [884, 442, 221, 664, 332, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 116),
     rule(3),
     ['N' = 1000, 'I' = 116, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 116)]).
step(between(0, 999, 116), builtin, [], []).
step(884 is 1000 - 116, builtin, [], []).
step(collatzTrajectory(883, [883, 2650, 1325, 3976, 1988, 994, 497, 1492, 746, 373, 1120, 560, 280, 140, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 883,
      'M' = [883, 2650, 1325, 3976, 1988, 994, 497, 1492, 746, 373, 1120, 560, 280, 140, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 117],
     [repeat(1000, 117),
      883 is 1000 - 117,
      collatz(883, [883, 2650, 1325, 3976, 1988, 994, 497, 1492, 746, 373, 1120, 560, 280, 140, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 117),
     rule(3),
     ['N' = 1000, 'I' = 117, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 117)]).
step(between(0, 999, 117), builtin, [], []).
step(883 is 1000 - 117, builtin, [], []).
step(collatz(883, [883, 2650, 1325, 3976, 1988, 994, 497, 1492, 746, 373, 1120, 560, 280, 140, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 883,
      'J' = [2650, 1325, 3976, 1988, 994, 497, 1492, 746, 373, 1120, 560, 280, 140, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 2649,
      'N1' = 2650],
     [883 > 1,
      1 is 883 mod 2,
      2649 is 3 * 883,
      2650 is 2649 + 1,
      collatz(2650, [2650, 1325, 3976, 1988, 994, 497, 1492, 746, 373, 1120, 560, 280, 140, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(883 > 1, builtin, [], []).
step(1 is 883 mod 2, builtin, [], []).
step(2649 is 3 * 883, builtin, [], []).
step(2650 is 2649 + 1, builtin, [], []).
step(collatz(2650, [2650, 1325, 3976, 1988, 994, 497, 1492, 746, 373, 1120, 560, 280, 140, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 2650,
      'J' = [1325, 3976, 1988, 994, 497, 1492, 746, 373, 1120, 560, 280, 140, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1325],
     [2650 > 1,
      0 is 2650 mod 2,
      1325 is 2650 // 2,
      collatz(1325, [1325, 3976, 1988, 994, 497, 1492, 746, 373, 1120, 560, 280, 140, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2650 > 1, builtin, [], []).
step(0 is 2650 mod 2, builtin, [], []).
step(1325 is 2650 // 2, builtin, [], []).
step(collatz(1325, [1325, 3976, 1988, 994, 497, 1492, 746, 373, 1120, 560, 280, 140, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 1325,
      'J' = [3976, 1988, 994, 497, 1492, 746, 373, 1120, 560, 280, 140, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 3975,
      'N1' = 3976],
     [1325 > 1,
      1 is 1325 mod 2,
      3975 is 3 * 1325,
      3976 is 3975 + 1,
      collatz(3976, [3976, 1988, 994, 497, 1492, 746, 373, 1120, 560, 280, 140, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1325 > 1, builtin, [], []).
step(1 is 1325 mod 2, builtin, [], []).
step(3975 is 3 * 1325, builtin, [], []).
step(3976 is 3975 + 1, builtin, [], []).
step(collatz(3976, [3976, 1988, 994, 497, 1492, 746, 373, 1120, 560, 280, 140, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 3976,
      'J' = [1988, 994, 497, 1492, 746, 373, 1120, 560, 280, 140, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1988],
     [3976 > 1,
      0 is 3976 mod 2,
      1988 is 3976 // 2,
      collatz(1988, [1988, 994, 497, 1492, 746, 373, 1120, 560, 280, 140, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(3976 > 1, builtin, [], []).
step(0 is 3976 mod 2, builtin, [], []).
step(1988 is 3976 // 2, builtin, [], []).
step(collatz(1988, [1988, 994, 497, 1492, 746, 373, 1120, 560, 280, 140, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1988,
      'J' = [994, 497, 1492, 746, 373, 1120, 560, 280, 140, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 994],
     [1988 > 1,
      0 is 1988 mod 2,
      994 is 1988 // 2,
      collatz(994, [994, 497, 1492, 746, 373, 1120, 560, 280, 140, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1988 > 1, builtin, [], []).
step(0 is 1988 mod 2, builtin, [], []).
step(994 is 1988 // 2, builtin, [], []).
step(collatzTrajectory(882, [882, 441, 1324, 662, 331, 994, 497, 1492, 746, 373, 1120, 560, 280, 140, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 882,
      'M' = [882, 441, 1324, 662, 331, 994, 497, 1492, 746, 373, 1120, 560, 280, 140, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 118],
     [repeat(1000, 118),
      882 is 1000 - 118,
      collatz(882, [882, 441, 1324, 662, 331, 994, 497, 1492, 746, 373, 1120, 560, 280, 140, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 118),
     rule(3),
     ['N' = 1000, 'I' = 118, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 118)]).
step(between(0, 999, 118), builtin, [], []).
step(882 is 1000 - 118, builtin, [], []).
step(collatz(882, [882, 441, 1324, 662, 331, 994, 497, 1492, 746, 373, 1120, 560, 280, 140, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 882,
      'J' = [441, 1324, 662, 331, 994, 497, 1492, 746, 373, 1120, 560, 280, 140, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 441],
     [882 > 1,
      0 is 882 mod 2,
      441 is 882 // 2,
      collatz(441, [441, 1324, 662, 331, 994, 497, 1492, 746, 373, 1120, 560, 280, 140, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(882 > 1, builtin, [], []).
step(0 is 882 mod 2, builtin, [], []).
step(441 is 882 // 2, builtin, [], []).
step(collatz(441, [441, 1324, 662, 331, 994, 497, 1492, 746, 373, 1120, 560, 280, 140, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 441,
      'J' = [1324, 662, 331, 994, 497, 1492, 746, 373, 1120, 560, 280, 140, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 1323,
      'N1' = 1324],
     [441 > 1,
      1 is 441 mod 2,
      1323 is 3 * 441,
      1324 is 1323 + 1,
      collatz(1324, [1324, 662, 331, 994, 497, 1492, 746, 373, 1120, 560, 280, 140, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(441 > 1, builtin, [], []).
step(1 is 441 mod 2, builtin, [], []).
step(1323 is 3 * 441, builtin, [], []).
step(1324 is 1323 + 1, builtin, [], []).
step(collatz(1324, [1324, 662, 331, 994, 497, 1492, 746, 373, 1120, 560, 280, 140, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1324,
      'J' = [662, 331, 994, 497, 1492, 746, 373, 1120, 560, 280, 140, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 662],
     [1324 > 1,
      0 is 1324 mod 2,
      662 is 1324 // 2,
      collatz(662, [662, 331, 994, 497, 1492, 746, 373, 1120, 560, 280, 140, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1324 > 1, builtin, [], []).
step(0 is 1324 mod 2, builtin, [], []).
step(662 is 1324 // 2, builtin, [], []).
step(collatz(662, [662, 331, 994, 497, 1492, 746, 373, 1120, 560, 280, 140, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 662,
      'J' = [331, 994, 497, 1492, 746, 373, 1120, 560, 280, 140, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 331],
     [662 > 1,
      0 is 662 mod 2,
      331 is 662 // 2,
      collatz(331, [331, 994, 497, 1492, 746, 373, 1120, 560, 280, 140, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(662 > 1, builtin, [], []).
step(0 is 662 mod 2, builtin, [], []).
step(331 is 662 // 2, builtin, [], []).
step(collatz(331, [331, 994, 497, 1492, 746, 373, 1120, 560, 280, 140, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 331,
      'J' = [994, 497, 1492, 746, 373, 1120, 560, 280, 140, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 993,
      'N1' = 994],
     [331 > 1,
      1 is 331 mod 2,
      993 is 3 * 331,
      994 is 993 + 1,
      collatz(994, [994, 497, 1492, 746, 373, 1120, 560, 280, 140, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(331 > 1, builtin, [], []).
step(1 is 331 mod 2, builtin, [], []).
step(993 is 3 * 331, builtin, [], []).
step(994 is 993 + 1, builtin, [], []).
step(collatzTrajectory(881, [881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 881,
      'M' = [881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 119],
     [repeat(1000, 119),
      881 is 1000 - 119,
      collatz(881, [881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 119),
     rule(3),
     ['N' = 1000, 'I' = 119, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 119)]).
step(between(0, 999, 119), builtin, [], []).
step(881 is 1000 - 119, builtin, [], []).
step(collatzTrajectory(880, [880, 440, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 880,
      'M' = [880, 440, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 120],
     [repeat(1000, 120),
      880 is 1000 - 120,
      collatz(880, [880, 440, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 120),
     rule(3),
     ['N' = 1000, 'I' = 120, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 120)]).
step(between(0, 999, 120), builtin, [], []).
step(880 is 1000 - 120, builtin, [], []).
step(collatz(880, [880, 440, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 880,
      'J' = [440, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 440],
     [880 > 1,
      0 is 880 mod 2,
      440 is 880 // 2,
      collatz(440, [440, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(880 > 1, builtin, [], []).
step(0 is 880 mod 2, builtin, [], []).
step(440 is 880 // 2, builtin, [], []).
step(collatz(440, [440, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 440,
      'J' = [220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 220],
     [440 > 1,
      0 is 440 mod 2,
      220 is 440 // 2,
      collatz(220, [220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(440 > 1, builtin, [], []).
step(0 is 440 mod 2, builtin, [], []).
step(220 is 440 // 2, builtin, [], []).
step(collatzTrajectory(879, [879, 2638, 1319, 3958, 1979, 5938, 2969, 8908, 4454, 2227, 6682, 3341, 10024, 5012, 2506, 1253, 3760, 1880, 940, 470, 235, 706, 353, 1060, 530, 265, 796, 398, 199, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 879,
      'M' = [879, 2638, 1319, 3958, 1979, 5938, 2969, 8908, 4454, 2227, 6682, 3341, 10024, 5012, 2506, 1253, 3760, 1880, 940, 470, 235, 706, 353, 1060, 530, 265, 796, 398, 199, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 121],
     [repeat(1000, 121),
      879 is 1000 - 121,
      collatz(879, [879, 2638, 1319, 3958, 1979, 5938, 2969, 8908, 4454, 2227, 6682, 3341, 10024, 5012, 2506, 1253, 3760, 1880, 940, 470, 235, 706, 353, 1060, 530, 265, 796, 398, 199, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 121),
     rule(3),
     ['N' = 1000, 'I' = 121, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 121)]).
step(between(0, 999, 121), builtin, [], []).
step(879 is 1000 - 121, builtin, [], []).
step(collatz(879, [879, 2638, 1319, 3958, 1979, 5938, 2969, 8908, 4454, 2227, 6682, 3341, 10024, 5012, 2506, 1253, 3760, 1880, 940, 470, 235, 706, 353, 1060, 530, 265, 796, 398, 199, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 879,
      'J' = [2638, 1319, 3958, 1979, 5938, 2969, 8908, 4454, 2227, 6682, 3341, 10024, 5012, 2506, 1253, 3760, 1880, 940, 470, 235, 706, 353, 1060, 530, 265, 796, 398, 199, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 2637,
      'N1' = 2638],
     [879 > 1,
      1 is 879 mod 2,
      2637 is 3 * 879,
      2638 is 2637 + 1,
      collatz(2638, [2638, 1319, 3958, 1979, 5938, 2969, 8908, 4454, 2227, 6682, 3341, 10024, 5012, 2506, 1253, 3760, 1880, 940, 470, 235, 706, 353, 1060, 530, 265, 796, 398, 199, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(879 > 1, builtin, [], []).
step(1 is 879 mod 2, builtin, [], []).
step(2637 is 3 * 879, builtin, [], []).
step(2638 is 2637 + 1, builtin, [], []).
step(collatz(2638, [2638, 1319, 3958, 1979, 5938, 2969, 8908, 4454, 2227, 6682, 3341, 10024, 5012, 2506, 1253, 3760, 1880, 940, 470, 235, 706, 353, 1060, 530, 265, 796, 398, 199, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 2638,
      'J' = [1319, 3958, 1979, 5938, 2969, 8908, 4454, 2227, 6682, 3341, 10024, 5012, 2506, 1253, 3760, 1880, 940, 470, 235, 706, 353, 1060, 530, 265, 796, 398, 199, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1319],
     [2638 > 1,
      0 is 2638 mod 2,
      1319 is 2638 // 2,
      collatz(1319, [1319, 3958, 1979, 5938, 2969, 8908, 4454, 2227, 6682, 3341, 10024, 5012, 2506, 1253, 3760, 1880, 940, 470, 235, 706, 353, 1060, 530, 265, 796, 398, 199, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2638 > 1, builtin, [], []).
step(0 is 2638 mod 2, builtin, [], []).
step(1319 is 2638 // 2, builtin, [], []).
step(collatz(1319, [1319, 3958, 1979, 5938, 2969, 8908, 4454, 2227, 6682, 3341, 10024, 5012, 2506, 1253, 3760, 1880, 940, 470, 235, 706, 353, 1060, 530, 265, 796, 398, 199, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 1319,
      'J' = [3958, 1979, 5938, 2969, 8908, 4454, 2227, 6682, 3341, 10024, 5012, 2506, 1253, 3760, 1880, 940, 470, 235, 706, 353, 1060, 530, 265, 796, 398, 199, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 3957,
      'N1' = 3958],
     [1319 > 1,
      1 is 1319 mod 2,
      3957 is 3 * 1319,
      3958 is 3957 + 1,
      collatz(3958, [3958, 1979, 5938, 2969, 8908, 4454, 2227, 6682, 3341, 10024, 5012, 2506, 1253, 3760, 1880, 940, 470, 235, 706, 353, 1060, 530, 265, 796, 398, 199, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1319 > 1, builtin, [], []).
step(1 is 1319 mod 2, builtin, [], []).
step(3957 is 3 * 1319, builtin, [], []).
step(3958 is 3957 + 1, builtin, [], []).
step(collatz(3958, [3958, 1979, 5938, 2969, 8908, 4454, 2227, 6682, 3341, 10024, 5012, 2506, 1253, 3760, 1880, 940, 470, 235, 706, 353, 1060, 530, 265, 796, 398, 199, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 3958,
      'J' = [1979, 5938, 2969, 8908, 4454, 2227, 6682, 3341, 10024, 5012, 2506, 1253, 3760, 1880, 940, 470, 235, 706, 353, 1060, 530, 265, 796, 398, 199, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1979],
     [3958 > 1,
      0 is 3958 mod 2,
      1979 is 3958 // 2,
      collatz(1979, [1979, 5938, 2969, 8908, 4454, 2227, 6682, 3341, 10024, 5012, 2506, 1253, 3760, 1880, 940, 470, 235, 706, 353, 1060, 530, 265, 796, 398, 199, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(3958 > 1, builtin, [], []).
step(0 is 3958 mod 2, builtin, [], []).
step(1979 is 3958 // 2, builtin, [], []).
step(collatz(1979, [1979, 5938, 2969, 8908, 4454, 2227, 6682, 3341, 10024, 5012, 2506, 1253, 3760, 1880, 940, 470, 235, 706, 353, 1060, 530, 265, 796, 398, 199, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 1979,
      'J' = [5938, 2969, 8908, 4454, 2227, 6682, 3341, 10024, 5012, 2506, 1253, 3760, 1880, 940, 470, 235, 706, 353, 1060, 530, 265, 796, 398, 199, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 5937,
      'N1' = 5938],
     [1979 > 1,
      1 is 1979 mod 2,
      5937 is 3 * 1979,
      5938 is 5937 + 1,
      collatz(5938, [5938, 2969, 8908, 4454, 2227, 6682, 3341, 10024, 5012, 2506, 1253, 3760, 1880, 940, 470, 235, 706, 353, 1060, 530, 265, 796, 398, 199, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1979 > 1, builtin, [], []).
step(1 is 1979 mod 2, builtin, [], []).
step(5937 is 3 * 1979, builtin, [], []).
step(5938 is 5937 + 1, builtin, [], []).
step(collatz(5938, [5938, 2969, 8908, 4454, 2227, 6682, 3341, 10024, 5012, 2506, 1253, 3760, 1880, 940, 470, 235, 706, 353, 1060, 530, 265, 796, 398, 199, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 5938,
      'J' = [2969, 8908, 4454, 2227, 6682, 3341, 10024, 5012, 2506, 1253, 3760, 1880, 940, 470, 235, 706, 353, 1060, 530, 265, 796, 398, 199, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 2969],
     [5938 > 1,
      0 is 5938 mod 2,
      2969 is 5938 // 2,
      collatz(2969, [2969, 8908, 4454, 2227, 6682, 3341, 10024, 5012, 2506, 1253, 3760, 1880, 940, 470, 235, 706, 353, 1060, 530, 265, 796, 398, 199, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(5938 > 1, builtin, [], []).
step(0 is 5938 mod 2, builtin, [], []).
step(2969 is 5938 // 2, builtin, [], []).
step(collatz(2969, [2969, 8908, 4454, 2227, 6682, 3341, 10024, 5012, 2506, 1253, 3760, 1880, 940, 470, 235, 706, 353, 1060, 530, 265, 796, 398, 199, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 2969,
      'J' = [8908, 4454, 2227, 6682, 3341, 10024, 5012, 2506, 1253, 3760, 1880, 940, 470, 235, 706, 353, 1060, 530, 265, 796, 398, 199, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 8907,
      'N1' = 8908],
     [2969 > 1,
      1 is 2969 mod 2,
      8907 is 3 * 2969,
      8908 is 8907 + 1,
      collatz(8908, [8908, 4454, 2227, 6682, 3341, 10024, 5012, 2506, 1253, 3760, 1880, 940, 470, 235, 706, 353, 1060, 530, 265, 796, 398, 199, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2969 > 1, builtin, [], []).
step(1 is 2969 mod 2, builtin, [], []).
step(8907 is 3 * 2969, builtin, [], []).
step(8908 is 8907 + 1, builtin, [], []).
step(collatz(8908, [8908, 4454, 2227, 6682, 3341, 10024, 5012, 2506, 1253, 3760, 1880, 940, 470, 235, 706, 353, 1060, 530, 265, 796, 398, 199, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 8908,
      'J' = [4454, 2227, 6682, 3341, 10024, 5012, 2506, 1253, 3760, 1880, 940, 470, 235, 706, 353, 1060, 530, 265, 796, 398, 199, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 4454],
     [8908 > 1,
      0 is 8908 mod 2,
      4454 is 8908 // 2,
      collatz(4454, [4454, 2227, 6682, 3341, 10024, 5012, 2506, 1253, 3760, 1880, 940, 470, 235, 706, 353, 1060, 530, 265, 796, 398, 199, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(8908 > 1, builtin, [], []).
step(0 is 8908 mod 2, builtin, [], []).
step(4454 is 8908 // 2, builtin, [], []).
step(collatz(4454, [4454, 2227, 6682, 3341, 10024, 5012, 2506, 1253, 3760, 1880, 940, 470, 235, 706, 353, 1060, 530, 265, 796, 398, 199, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 4454,
      'J' = [2227, 6682, 3341, 10024, 5012, 2506, 1253, 3760, 1880, 940, 470, 235, 706, 353, 1060, 530, 265, 796, 398, 199, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 2227],
     [4454 > 1,
      0 is 4454 mod 2,
      2227 is 4454 // 2,
      collatz(2227, [2227, 6682, 3341, 10024, 5012, 2506, 1253, 3760, 1880, 940, 470, 235, 706, 353, 1060, 530, 265, 796, 398, 199, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(4454 > 1, builtin, [], []).
step(0 is 4454 mod 2, builtin, [], []).
step(2227 is 4454 // 2, builtin, [], []).
step(collatz(2227, [2227, 6682, 3341, 10024, 5012, 2506, 1253, 3760, 1880, 940, 470, 235, 706, 353, 1060, 530, 265, 796, 398, 199, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 2227,
      'J' = [6682, 3341, 10024, 5012, 2506, 1253, 3760, 1880, 940, 470, 235, 706, 353, 1060, 530, 265, 796, 398, 199, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 6681,
      'N1' = 6682],
     [2227 > 1,
      1 is 2227 mod 2,
      6681 is 3 * 2227,
      6682 is 6681 + 1,
      collatz(6682, [6682, 3341, 10024, 5012, 2506, 1253, 3760, 1880, 940, 470, 235, 706, 353, 1060, 530, 265, 796, 398, 199, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2227 > 1, builtin, [], []).
step(1 is 2227 mod 2, builtin, [], []).
step(6681 is 3 * 2227, builtin, [], []).
step(6682 is 6681 + 1, builtin, [], []).
step(collatz(6682, [6682, 3341, 10024, 5012, 2506, 1253, 3760, 1880, 940, 470, 235, 706, 353, 1060, 530, 265, 796, 398, 199, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 6682,
      'J' = [3341, 10024, 5012, 2506, 1253, 3760, 1880, 940, 470, 235, 706, 353, 1060, 530, 265, 796, 398, 199, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 3341],
     [6682 > 1,
      0 is 6682 mod 2,
      3341 is 6682 // 2,
      collatz(3341, [3341, 10024, 5012, 2506, 1253, 3760, 1880, 940, 470, 235, 706, 353, 1060, 530, 265, 796, 398, 199, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(6682 > 1, builtin, [], []).
step(0 is 6682 mod 2, builtin, [], []).
step(3341 is 6682 // 2, builtin, [], []).
step(collatz(3341, [3341, 10024, 5012, 2506, 1253, 3760, 1880, 940, 470, 235, 706, 353, 1060, 530, 265, 796, 398, 199, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 3341,
      'J' = [10024, 5012, 2506, 1253, 3760, 1880, 940, 470, 235, 706, 353, 1060, 530, 265, 796, 398, 199, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 10023,
      'N1' = 10024],
     [3341 > 1,
      1 is 3341 mod 2,
      10023 is 3 * 3341,
      10024 is 10023 + 1,
      collatz(10024, [10024, 5012, 2506, 1253, 3760, 1880, 940, 470, 235, 706, 353, 1060, 530, 265, 796, 398, 199, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(3341 > 1, builtin, [], []).
step(1 is 3341 mod 2, builtin, [], []).
step(10023 is 3 * 3341, builtin, [], []).
step(10024 is 10023 + 1, builtin, [], []).
step(collatz(10024, [10024, 5012, 2506, 1253, 3760, 1880, 940, 470, 235, 706, 353, 1060, 530, 265, 796, 398, 199, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 10024,
      'J' = [5012, 2506, 1253, 3760, 1880, 940, 470, 235, 706, 353, 1060, 530, 265, 796, 398, 199, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 5012],
     [10024 > 1,
      0 is 10024 mod 2,
      5012 is 10024 // 2,
      collatz(5012, [5012, 2506, 1253, 3760, 1880, 940, 470, 235, 706, 353, 1060, 530, 265, 796, 398, 199, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(10024 > 1, builtin, [], []).
step(0 is 10024 mod 2, builtin, [], []).
step(5012 is 10024 // 2, builtin, [], []).
step(collatz(5012, [5012, 2506, 1253, 3760, 1880, 940, 470, 235, 706, 353, 1060, 530, 265, 796, 398, 199, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 5012,
      'J' = [2506, 1253, 3760, 1880, 940, 470, 235, 706, 353, 1060, 530, 265, 796, 398, 199, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 2506],
     [5012 > 1,
      0 is 5012 mod 2,
      2506 is 5012 // 2,
      collatz(2506, [2506, 1253, 3760, 1880, 940, 470, 235, 706, 353, 1060, 530, 265, 796, 398, 199, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(5012 > 1, builtin, [], []).
step(0 is 5012 mod 2, builtin, [], []).
step(2506 is 5012 // 2, builtin, [], []).
step(collatz(2506, [2506, 1253, 3760, 1880, 940, 470, 235, 706, 353, 1060, 530, 265, 796, 398, 199, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 2506,
      'J' = [1253, 3760, 1880, 940, 470, 235, 706, 353, 1060, 530, 265, 796, 398, 199, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1253],
     [2506 > 1,
      0 is 2506 mod 2,
      1253 is 2506 // 2,
      collatz(1253, [1253, 3760, 1880, 940, 470, 235, 706, 353, 1060, 530, 265, 796, 398, 199, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2506 > 1, builtin, [], []).
step(0 is 2506 mod 2, builtin, [], []).
step(1253 is 2506 // 2, builtin, [], []).
step(collatz(1253, [1253, 3760, 1880, 940, 470, 235, 706, 353, 1060, 530, 265, 796, 398, 199, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 1253,
      'J' = [3760, 1880, 940, 470, 235, 706, 353, 1060, 530, 265, 796, 398, 199, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 3759,
      'N1' = 3760],
     [1253 > 1,
      1 is 1253 mod 2,
      3759 is 3 * 1253,
      3760 is 3759 + 1,
      collatz(3760, [3760, 1880, 940, 470, 235, 706, 353, 1060, 530, 265, 796, 398, 199, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1253 > 1, builtin, [], []).
step(1 is 1253 mod 2, builtin, [], []).
step(3759 is 3 * 1253, builtin, [], []).
step(3760 is 3759 + 1, builtin, [], []).
step(collatz(3760, [3760, 1880, 940, 470, 235, 706, 353, 1060, 530, 265, 796, 398, 199, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 3760,
      'J' = [1880, 940, 470, 235, 706, 353, 1060, 530, 265, 796, 398, 199, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1880],
     [3760 > 1,
      0 is 3760 mod 2,
      1880 is 3760 // 2,
      collatz(1880, [1880, 940, 470, 235, 706, 353, 1060, 530, 265, 796, 398, 199, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(3760 > 1, builtin, [], []).
step(0 is 3760 mod 2, builtin, [], []).
step(1880 is 3760 // 2, builtin, [], []).
step(collatz(1880, [1880, 940, 470, 235, 706, 353, 1060, 530, 265, 796, 398, 199, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1880,
      'J' = [940, 470, 235, 706, 353, 1060, 530, 265, 796, 398, 199, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 940],
     [1880 > 1,
      0 is 1880 mod 2,
      940 is 1880 // 2,
      collatz(940, [940, 470, 235, 706, 353, 1060, 530, 265, 796, 398, 199, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1880 > 1, builtin, [], []).
step(0 is 1880 mod 2, builtin, [], []).
step(940 is 1880 // 2, builtin, [], []).
step(collatzTrajectory(878, [878, 439, 1318, 659, 1978, 989, 2968, 1484, 742, 371, 1114, 557, 1672, 836, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 878,
      'M' = [878, 439, 1318, 659, 1978, 989, 2968, 1484, 742, 371, 1114, 557, 1672, 836, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 122],
     [repeat(1000, 122),
      878 is 1000 - 122,
      collatz(878, [878, 439, 1318, 659, 1978, 989, 2968, 1484, 742, 371, 1114, 557, 1672, 836, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 122),
     rule(3),
     ['N' = 1000, 'I' = 122, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 122)]).
step(between(0, 999, 122), builtin, [], []).
step(878 is 1000 - 122, builtin, [], []).
step(collatz(878, [878, 439, 1318, 659, 1978, 989, 2968, 1484, 742, 371, 1114, 557, 1672, 836, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 878,
      'J' = [439, 1318, 659, 1978, 989, 2968, 1484, 742, 371, 1114, 557, 1672, 836, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 439],
     [878 > 1,
      0 is 878 mod 2,
      439 is 878 // 2,
      collatz(439, [439, 1318, 659, 1978, 989, 2968, 1484, 742, 371, 1114, 557, 1672, 836, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(878 > 1, builtin, [], []).
step(0 is 878 mod 2, builtin, [], []).
step(439 is 878 // 2, builtin, [], []).
step(collatz(439, [439, 1318, 659, 1978, 989, 2968, 1484, 742, 371, 1114, 557, 1672, 836, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 439,
      'J' = [1318, 659, 1978, 989, 2968, 1484, 742, 371, 1114, 557, 1672, 836, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 1317,
      'N1' = 1318],
     [439 > 1,
      1 is 439 mod 2,
      1317 is 3 * 439,
      1318 is 1317 + 1,
      collatz(1318, [1318, 659, 1978, 989, 2968, 1484, 742, 371, 1114, 557, 1672, 836, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(439 > 1, builtin, [], []).
step(1 is 439 mod 2, builtin, [], []).
step(1317 is 3 * 439, builtin, [], []).
step(1318 is 1317 + 1, builtin, [], []).
step(collatz(1318, [1318, 659, 1978, 989, 2968, 1484, 742, 371, 1114, 557, 1672, 836, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1318,
      'J' = [659, 1978, 989, 2968, 1484, 742, 371, 1114, 557, 1672, 836, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 659],
     [1318 > 1,
      0 is 1318 mod 2,
      659 is 1318 // 2,
      collatz(659, [659, 1978, 989, 2968, 1484, 742, 371, 1114, 557, 1672, 836, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1318 > 1, builtin, [], []).
step(0 is 1318 mod 2, builtin, [], []).
step(659 is 1318 // 2, builtin, [], []).
step(collatz(659, [659, 1978, 989, 2968, 1484, 742, 371, 1114, 557, 1672, 836, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 659,
      'J' = [1978, 989, 2968, 1484, 742, 371, 1114, 557, 1672, 836, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 1977,
      'N1' = 1978],
     [659 > 1,
      1 is 659 mod 2,
      1977 is 3 * 659,
      1978 is 1977 + 1,
      collatz(1978, [1978, 989, 2968, 1484, 742, 371, 1114, 557, 1672, 836, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(659 > 1, builtin, [], []).
step(1 is 659 mod 2, builtin, [], []).
step(1977 is 3 * 659, builtin, [], []).
step(1978 is 1977 + 1, builtin, [], []).
step(collatz(1978, [1978, 989, 2968, 1484, 742, 371, 1114, 557, 1672, 836, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1978,
      'J' = [989, 2968, 1484, 742, 371, 1114, 557, 1672, 836, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 989],
     [1978 > 1,
      0 is 1978 mod 2,
      989 is 1978 // 2,
      collatz(989, [989, 2968, 1484, 742, 371, 1114, 557, 1672, 836, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1978 > 1, builtin, [], []).
step(0 is 1978 mod 2, builtin, [], []).
step(989 is 1978 // 2, builtin, [], []).
step(collatzTrajectory(877, [877, 2632, 1316, 658, 329, 988, 494, 247, 742, 371, 1114, 557, 1672, 836, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 877,
      'M' = [877, 2632, 1316, 658, 329, 988, 494, 247, 742, 371, 1114, 557, 1672, 836, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 123],
     [repeat(1000, 123),
      877 is 1000 - 123,
      collatz(877, [877, 2632, 1316, 658, 329, 988, 494, 247, 742, 371, 1114, 557, 1672, 836, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 123),
     rule(3),
     ['N' = 1000, 'I' = 123, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 123)]).
step(between(0, 999, 123), builtin, [], []).
step(877 is 1000 - 123, builtin, [], []).
step(collatz(877, [877, 2632, 1316, 658, 329, 988, 494, 247, 742, 371, 1114, 557, 1672, 836, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 877,
      'J' = [2632, 1316, 658, 329, 988, 494, 247, 742, 371, 1114, 557, 1672, 836, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 2631,
      'N1' = 2632],
     [877 > 1,
      1 is 877 mod 2,
      2631 is 3 * 877,
      2632 is 2631 + 1,
      collatz(2632, [2632, 1316, 658, 329, 988, 494, 247, 742, 371, 1114, 557, 1672, 836, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(877 > 1, builtin, [], []).
step(1 is 877 mod 2, builtin, [], []).
step(2631 is 3 * 877, builtin, [], []).
step(2632 is 2631 + 1, builtin, [], []).
step(collatzTrajectory(876, [876, 438, 219, 658, 329, 988, 494, 247, 742, 371, 1114, 557, 1672, 836, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 876,
      'M' = [876, 438, 219, 658, 329, 988, 494, 247, 742, 371, 1114, 557, 1672, 836, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 124],
     [repeat(1000, 124),
      876 is 1000 - 124,
      collatz(876, [876, 438, 219, 658, 329, 988, 494, 247, 742, 371, 1114, 557, 1672, 836, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 124),
     rule(3),
     ['N' = 1000, 'I' = 124, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 124)]).
step(between(0, 999, 124), builtin, [], []).
step(876 is 1000 - 124, builtin, [], []).
step(collatz(876, [876, 438, 219, 658, 329, 988, 494, 247, 742, 371, 1114, 557, 1672, 836, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 876,
      'J' = [438, 219, 658, 329, 988, 494, 247, 742, 371, 1114, 557, 1672, 836, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 438],
     [876 > 1,
      0 is 876 mod 2,
      438 is 876 // 2,
      collatz(438, [438, 219, 658, 329, 988, 494, 247, 742, 371, 1114, 557, 1672, 836, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(876 > 1, builtin, [], []).
step(0 is 876 mod 2, builtin, [], []).
step(438 is 876 // 2, builtin, [], []).
step(collatz(438, [438, 219, 658, 329, 988, 494, 247, 742, 371, 1114, 557, 1672, 836, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 438,
      'J' = [219, 658, 329, 988, 494, 247, 742, 371, 1114, 557, 1672, 836, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 219],
     [438 > 1,
      0 is 438 mod 2,
      219 is 438 // 2,
      collatz(219, [219, 658, 329, 988, 494, 247, 742, 371, 1114, 557, 1672, 836, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(438 > 1, builtin, [], []).
step(0 is 438 mod 2, builtin, [], []).
step(219 is 438 // 2, builtin, [], []).
step(collatz(219, [219, 658, 329, 988, 494, 247, 742, 371, 1114, 557, 1672, 836, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 219,
      'J' = [658, 329, 988, 494, 247, 742, 371, 1114, 557, 1672, 836, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 657,
      'N1' = 658],
     [219 > 1,
      1 is 219 mod 2,
      657 is 3 * 219,
      658 is 657 + 1,
      collatz(658, [658, 329, 988, 494, 247, 742, 371, 1114, 557, 1672, 836, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(219 > 1, builtin, [], []).
step(1 is 219 mod 2, builtin, [], []).
step(657 is 3 * 219, builtin, [], []).
step(658 is 657 + 1, builtin, [], []).
step(collatzTrajectory(875, [875, 2626, 1313, 3940, 1970, 985, 2956, 1478, 739, 2218, 1109, 3328, 1664, 832, 416, 208, 104, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 875,
      'M' = [875, 2626, 1313, 3940, 1970, 985, 2956, 1478, 739, 2218, 1109, 3328, 1664, 832, 416, 208, 104, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 125],
     [repeat(1000, 125),
      875 is 1000 - 125,
      collatz(875, [875, 2626, 1313, 3940, 1970, 985, 2956, 1478, 739, 2218, 1109, 3328, 1664, 832, 416, 208, 104, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 125),
     rule(3),
     ['N' = 1000, 'I' = 125, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 125)]).
step(between(0, 999, 125), builtin, [], []).
step(875 is 1000 - 125, builtin, [], []).
step(collatz(875, [875, 2626, 1313, 3940, 1970, 985, 2956, 1478, 739, 2218, 1109, 3328, 1664, 832, 416, 208, 104, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 875,
      'J' = [2626, 1313, 3940, 1970, 985, 2956, 1478, 739, 2218, 1109, 3328, 1664, 832, 416, 208, 104, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 2625,
      'N1' = 2626],
     [875 > 1,
      1 is 875 mod 2,
      2625 is 3 * 875,
      2626 is 2625 + 1,
      collatz(2626, [2626, 1313, 3940, 1970, 985, 2956, 1478, 739, 2218, 1109, 3328, 1664, 832, 416, 208, 104, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(875 > 1, builtin, [], []).
step(1 is 875 mod 2, builtin, [], []).
step(2625 is 3 * 875, builtin, [], []).
step(2626 is 2625 + 1, builtin, [], []).
step(collatz(2626, [2626, 1313, 3940, 1970, 985, 2956, 1478, 739, 2218, 1109, 3328, 1664, 832, 416, 208, 104, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 2626,
      'J' = [1313, 3940, 1970, 985, 2956, 1478, 739, 2218, 1109, 3328, 1664, 832, 416, 208, 104, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1313],
     [2626 > 1,
      0 is 2626 mod 2,
      1313 is 2626 // 2,
      collatz(1313, [1313, 3940, 1970, 985, 2956, 1478, 739, 2218, 1109, 3328, 1664, 832, 416, 208, 104, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2626 > 1, builtin, [], []).
step(0 is 2626 mod 2, builtin, [], []).
step(1313 is 2626 // 2, builtin, [], []).
step(collatz(1313, [1313, 3940, 1970, 985, 2956, 1478, 739, 2218, 1109, 3328, 1664, 832, 416, 208, 104, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 1313,
      'J' = [3940, 1970, 985, 2956, 1478, 739, 2218, 1109, 3328, 1664, 832, 416, 208, 104, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 3939,
      'N1' = 3940],
     [1313 > 1,
      1 is 1313 mod 2,
      3939 is 3 * 1313,
      3940 is 3939 + 1,
      collatz(3940, [3940, 1970, 985, 2956, 1478, 739, 2218, 1109, 3328, 1664, 832, 416, 208, 104, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1313 > 1, builtin, [], []).
step(1 is 1313 mod 2, builtin, [], []).
step(3939 is 3 * 1313, builtin, [], []).
step(3940 is 3939 + 1, builtin, [], []).
step(collatz(3940, [3940, 1970, 985, 2956, 1478, 739, 2218, 1109, 3328, 1664, 832, 416, 208, 104, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 3940,
      'J' = [1970, 985, 2956, 1478, 739, 2218, 1109, 3328, 1664, 832, 416, 208, 104, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1970],
     [3940 > 1,
      0 is 3940 mod 2,
      1970 is 3940 // 2,
      collatz(1970, [1970, 985, 2956, 1478, 739, 2218, 1109, 3328, 1664, 832, 416, 208, 104, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(3940 > 1, builtin, [], []).
step(0 is 3940 mod 2, builtin, [], []).
step(1970 is 3940 // 2, builtin, [], []).
step(collatz(1970, [1970, 985, 2956, 1478, 739, 2218, 1109, 3328, 1664, 832, 416, 208, 104, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1970,
      'J' = [985, 2956, 1478, 739, 2218, 1109, 3328, 1664, 832, 416, 208, 104, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 985],
     [1970 > 1,
      0 is 1970 mod 2,
      985 is 1970 // 2,
      collatz(985, [985, 2956, 1478, 739, 2218, 1109, 3328, 1664, 832, 416, 208, 104, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1970 > 1, builtin, [], []).
step(0 is 1970 mod 2, builtin, [], []).
step(985 is 1970 // 2, builtin, [], []).
step(collatzTrajectory(874, [874, 437, 1312, 656, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 874,
      'M' = [874, 437, 1312, 656, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 126],
     [repeat(1000, 126),
      874 is 1000 - 126,
      collatz(874, [874, 437, 1312, 656, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 126),
     rule(3),
     ['N' = 1000, 'I' = 126, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 126)]).
step(between(0, 999, 126), builtin, [], []).
step(874 is 1000 - 126, builtin, [], []).
step(collatz(874, [874, 437, 1312, 656, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 874,
      'J' = [437, 1312, 656, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 437],
     [874 > 1,
      0 is 874 mod 2,
      437 is 874 // 2,
      collatz(437, [437, 1312, 656, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(874 > 1, builtin, [], []).
step(0 is 874 mod 2, builtin, [], []).
step(437 is 874 // 2, builtin, [], []).
step(collatz(437, [437, 1312, 656, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 437,
      'J' = [1312, 656, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 1311,
      'N1' = 1312],
     [437 > 1,
      1 is 437 mod 2,
      1311 is 3 * 437,
      1312 is 1311 + 1,
      collatz(1312, [1312, 656, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(437 > 1, builtin, [], []).
step(1 is 437 mod 2, builtin, [], []).
step(1311 is 3 * 437, builtin, [], []).
step(1312 is 1311 + 1, builtin, [], []).
step(collatz(1312, [1312, 656, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1312,
      'J' = [656, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 656],
     [1312 > 1,
      0 is 1312 mod 2,
      656 is 1312 // 2,
      collatz(656, [656, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1312 > 1, builtin, [], []).
step(0 is 1312 mod 2, builtin, [], []).
step(656 is 1312 // 2, builtin, [], []).
step(collatz(656, [656, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 656,
      'J' = [328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 328],
     [656 > 1,
      0 is 656 mod 2,
      328 is 656 // 2,
      collatz(328, [328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(656 > 1, builtin, [], []).
step(0 is 656 mod 2, builtin, [], []).
step(328 is 656 // 2, builtin, [], []).
step(collatzTrajectory(873, [873, 2620, 1310, 655, 1966, 983, 2950, 1475, 4426, 2213, 6640, 3320, 1660, 830, 415, 1246, 623, 1870, 935, 2806, 1403, 4210, 2105, 6316, 3158, 1579, 4738, 2369, 7108, 3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 873,
      'M' = [873, 2620, 1310, 655, 1966, 983, 2950, 1475, 4426, 2213, 6640, 3320, 1660, 830, 415, 1246, 623, 1870, 935, 2806, 1403, 4210, 2105, 6316, 3158, 1579, 4738, 2369, 7108, 3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 127],
     [repeat(1000, 127),
      873 is 1000 - 127,
      collatz(873, [873, 2620, 1310, 655, 1966, 983, 2950, 1475, 4426, 2213, 6640, 3320, 1660, 830, 415, 1246, 623, 1870, 935, 2806, 1403, 4210, 2105, 6316, 3158, 1579, 4738, 2369, 7108, 3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 127),
     rule(3),
     ['N' = 1000, 'I' = 127, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 127)]).
step(between(0, 999, 127), builtin, [], []).
step(873 is 1000 - 127, builtin, [], []).
step(collatz(873, [873, 2620, 1310, 655, 1966, 983, 2950, 1475, 4426, 2213, 6640, 3320, 1660, 830, 415, 1246, 623, 1870, 935, 2806, 1403, 4210, 2105, 6316, 3158, 1579, 4738, 2369, 7108, 3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 873,
      'J' = [2620, 1310, 655, 1966, 983, 2950, 1475, 4426, 2213, 6640, 3320, 1660, 830, 415, 1246, 623, 1870, 935, 2806, 1403, 4210, 2105, 6316, 3158, 1579, 4738, 2369, 7108, 3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 2619,
      'N1' = 2620],
     [873 > 1,
      1 is 873 mod 2,
      2619 is 3 * 873,
      2620 is 2619 + 1,
      collatz(2620, [2620, 1310, 655, 1966, 983, 2950, 1475, 4426, 2213, 6640, 3320, 1660, 830, 415, 1246, 623, 1870, 935, 2806, 1403, 4210, 2105, 6316, 3158, 1579, 4738, 2369, 7108, 3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(873 > 1, builtin, [], []).
step(1 is 873 mod 2, builtin, [], []).
step(2619 is 3 * 873, builtin, [], []).
step(2620 is 2619 + 1, builtin, [], []).
step(collatz(2620, [2620, 1310, 655, 1966, 983, 2950, 1475, 4426, 2213, 6640, 3320, 1660, 830, 415, 1246, 623, 1870, 935, 2806, 1403, 4210, 2105, 6316, 3158, 1579, 4738, 2369, 7108, 3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 2620,
      'J' = [1310, 655, 1966, 983, 2950, 1475, 4426, 2213, 6640, 3320, 1660, 830, 415, 1246, 623, 1870, 935, 2806, 1403, 4210, 2105, 6316, 3158, 1579, 4738, 2369, 7108, 3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1310],
     [2620 > 1,
      0 is 2620 mod 2,
      1310 is 2620 // 2,
      collatz(1310, [1310, 655, 1966, 983, 2950, 1475, 4426, 2213, 6640, 3320, 1660, 830, 415, 1246, 623, 1870, 935, 2806, 1403, 4210, 2105, 6316, 3158, 1579, 4738, 2369, 7108, 3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2620 > 1, builtin, [], []).
step(0 is 2620 mod 2, builtin, [], []).
step(1310 is 2620 // 2, builtin, [], []).
step(collatz(1310, [1310, 655, 1966, 983, 2950, 1475, 4426, 2213, 6640, 3320, 1660, 830, 415, 1246, 623, 1870, 935, 2806, 1403, 4210, 2105, 6316, 3158, 1579, 4738, 2369, 7108, 3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1310,
      'J' = [655, 1966, 983, 2950, 1475, 4426, 2213, 6640, 3320, 1660, 830, 415, 1246, 623, 1870, 935, 2806, 1403, 4210, 2105, 6316, 3158, 1579, 4738, 2369, 7108, 3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 655],
     [1310 > 1,
      0 is 1310 mod 2,
      655 is 1310 // 2,
      collatz(655, [655, 1966, 983, 2950, 1475, 4426, 2213, 6640, 3320, 1660, 830, 415, 1246, 623, 1870, 935, 2806, 1403, 4210, 2105, 6316, 3158, 1579, 4738, 2369, 7108, 3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1310 > 1, builtin, [], []).
step(0 is 1310 mod 2, builtin, [], []).
step(655 is 1310 // 2, builtin, [], []).
step(collatz(655, [655, 1966, 983, 2950, 1475, 4426, 2213, 6640, 3320, 1660, 830, 415, 1246, 623, 1870, 935, 2806, 1403, 4210, 2105, 6316, 3158, 1579, 4738, 2369, 7108, 3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 655,
      'J' = [1966, 983, 2950, 1475, 4426, 2213, 6640, 3320, 1660, 830, 415, 1246, 623, 1870, 935, 2806, 1403, 4210, 2105, 6316, 3158, 1579, 4738, 2369, 7108, 3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 1965,
      'N1' = 1966],
     [655 > 1,
      1 is 655 mod 2,
      1965 is 3 * 655,
      1966 is 1965 + 1,
      collatz(1966, [1966, 983, 2950, 1475, 4426, 2213, 6640, 3320, 1660, 830, 415, 1246, 623, 1870, 935, 2806, 1403, 4210, 2105, 6316, 3158, 1579, 4738, 2369, 7108, 3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(655 > 1, builtin, [], []).
step(1 is 655 mod 2, builtin, [], []).
step(1965 is 3 * 655, builtin, [], []).
step(1966 is 1965 + 1, builtin, [], []).
step(collatz(1966, [1966, 983, 2950, 1475, 4426, 2213, 6640, 3320, 1660, 830, 415, 1246, 623, 1870, 935, 2806, 1403, 4210, 2105, 6316, 3158, 1579, 4738, 2369, 7108, 3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1966,
      'J' = [983, 2950, 1475, 4426, 2213, 6640, 3320, 1660, 830, 415, 1246, 623, 1870, 935, 2806, 1403, 4210, 2105, 6316, 3158, 1579, 4738, 2369, 7108, 3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 983],
     [1966 > 1,
      0 is 1966 mod 2,
      983 is 1966 // 2,
      collatz(983, [983, 2950, 1475, 4426, 2213, 6640, 3320, 1660, 830, 415, 1246, 623, 1870, 935, 2806, 1403, 4210, 2105, 6316, 3158, 1579, 4738, 2369, 7108, 3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1966 > 1, builtin, [], []).
step(0 is 1966 mod 2, builtin, [], []).
step(983 is 1966 // 2, builtin, [], []).
step(collatzTrajectory(872, [872, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 872,
      'M' = [872, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 128],
     [repeat(1000, 128),
      872 is 1000 - 128,
      collatz(872, [872, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 128),
     rule(3),
     ['N' = 1000, 'I' = 128, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 128)]).
step(between(0, 999, 128), builtin, [], []).
step(872 is 1000 - 128, builtin, [], []).
step(collatz(872, [872, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 872,
      'J' = [436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 436],
     [872 > 1,
      0 is 872 mod 2,
      436 is 872 // 2,
      collatz(436, [436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(872 > 1, builtin, [], []).
step(0 is 872 mod 2, builtin, [], []).
step(436 is 872 // 2, builtin, [], []).
step(collatzTrajectory(871, [871, 2614, 1307, 3922, 1961, 5884, 2942, 1471, 4414, 2207, 6622, 3311, 9934, 4967, 14902, 7451, 22354, 11177, 33532, 16766, 8383, 25150, 12575, 37726, 18863, 56590, 28295, 84886, 42443, 127330, 63665, 190996, 95498, 47749, 143248, 71624, 35812, 17906, 8953, 26860, 13430, 6715, 20146, 10073, 30220, 15110, 7555, 22666, 11333, 34000, 17000, 8500, 4250, 2125, 6376, 3188, 1594, 797, 2392, 1196, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 871,
      'M' = [871, 2614, 1307, 3922, 1961, 5884, 2942, 1471, 4414, 2207, 6622, 3311, 9934, 4967, 14902, 7451, 22354, 11177, 33532, 16766, 8383, 25150, 12575, 37726, 18863, 56590, 28295, 84886, 42443, 127330, 63665, 190996, 95498, 47749, 143248, 71624, 35812, 17906, 8953, 26860, 13430, 6715, 20146, 10073, 30220, 15110, 7555, 22666, 11333, 34000, 17000, 8500, 4250, 2125, 6376, 3188, 1594, 797, 2392, 1196, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 129],
     [repeat(1000, 129),
      871 is 1000 - 129,
      collatz(871, [871, 2614, 1307, 3922, 1961, 5884, 2942, 1471, 4414, 2207, 6622, 3311, 9934, 4967, 14902, 7451, 22354, 11177, 33532, 16766, 8383, 25150, 12575, 37726, 18863, 56590, 28295, 84886, 42443, 127330, 63665, 190996, 95498, 47749, 143248, 71624, 35812, 17906, 8953, 26860, 13430, 6715, 20146, 10073, 30220, 15110, 7555, 22666, 11333, 34000, 17000, 8500, 4250, 2125, 6376, 3188, 1594, 797, 2392, 1196, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 129),
     rule(3),
     ['N' = 1000, 'I' = 129, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 129)]).
step(between(0, 999, 129), builtin, [], []).
step(871 is 1000 - 129, builtin, [], []).
step(collatz(871, [871, 2614, 1307, 3922, 1961, 5884, 2942, 1471, 4414, 2207, 6622, 3311, 9934, 4967, 14902, 7451, 22354, 11177, 33532, 16766, 8383, 25150, 12575, 37726, 18863, 56590, 28295, 84886, 42443, 127330, 63665, 190996, 95498, 47749, 143248, 71624, 35812, 17906, 8953, 26860, 13430, 6715, 20146, 10073, 30220, 15110, 7555, 22666, 11333, 34000, 17000, 8500, 4250, 2125, 6376, 3188, 1594, 797, 2392, 1196, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 871,
      'J' = [2614, 1307, 3922, 1961, 5884, 2942, 1471, 4414, 2207, 6622, 3311, 9934, 4967, 14902, 7451, 22354, 11177, 33532, 16766, 8383, 25150, 12575, 37726, 18863, 56590, 28295, 84886, 42443, 127330, 63665, 190996, 95498, 47749, 143248, 71624, 35812, 17906, 8953, 26860, 13430, 6715, 20146, 10073, 30220, 15110, 7555, 22666, 11333, 34000, 17000, 8500, 4250, 2125, 6376, 3188, 1594, 797, 2392, 1196, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 2613,
      'N1' = 2614],
     [871 > 1,
      1 is 871 mod 2,
      2613 is 3 * 871,
      2614 is 2613 + 1,
      collatz(2614, [2614, 1307, 3922, 1961, 5884, 2942, 1471, 4414, 2207, 6622, 3311, 9934, 4967, 14902, 7451, 22354, 11177, 33532, 16766, 8383, 25150, 12575, 37726, 18863, 56590, 28295, 84886, 42443, 127330, 63665, 190996, 95498, 47749, 143248, 71624, 35812, 17906, 8953, 26860, 13430, 6715, 20146, 10073, 30220, 15110, 7555, 22666, 11333, 34000, 17000, 8500, 4250, 2125, 6376, 3188, 1594, 797, 2392, 1196, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(871 > 1, builtin, [], []).
step(1 is 871 mod 2, builtin, [], []).
step(2613 is 3 * 871, builtin, [], []).
step(2614 is 2613 + 1, builtin, [], []).
step(collatz(2614, [2614, 1307, 3922, 1961, 5884, 2942, 1471, 4414, 2207, 6622, 3311, 9934, 4967, 14902, 7451, 22354, 11177, 33532, 16766, 8383, 25150, 12575, 37726, 18863, 56590, 28295, 84886, 42443, 127330, 63665, 190996, 95498, 47749, 143248, 71624, 35812, 17906, 8953, 26860, 13430, 6715, 20146, 10073, 30220, 15110, 7555, 22666, 11333, 34000, 17000, 8500, 4250, 2125, 6376, 3188, 1594, 797, 2392, 1196, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 2614,
      'J' = [1307, 3922, 1961, 5884, 2942, 1471, 4414, 2207, 6622, 3311, 9934, 4967, 14902, 7451, 22354, 11177, 33532, 16766, 8383, 25150, 12575, 37726, 18863, 56590, 28295, 84886, 42443, 127330, 63665, 190996, 95498, 47749, 143248, 71624, 35812, 17906, 8953, 26860, 13430, 6715, 20146, 10073, 30220, 15110, 7555, 22666, 11333, 34000, 17000, 8500, 4250, 2125, 6376, 3188, 1594, 797, 2392, 1196, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1307],
     [2614 > 1,
      0 is 2614 mod 2,
      1307 is 2614 // 2,
      collatz(1307, [1307, 3922, 1961, 5884, 2942, 1471, 4414, 2207, 6622, 3311, 9934, 4967, 14902, 7451, 22354, 11177, 33532, 16766, 8383, 25150, 12575, 37726, 18863, 56590, 28295, 84886, 42443, 127330, 63665, 190996, 95498, 47749, 143248, 71624, 35812, 17906, 8953, 26860, 13430, 6715, 20146, 10073, 30220, 15110, 7555, 22666, 11333, 34000, 17000, 8500, 4250, 2125, 6376, 3188, 1594, 797, 2392, 1196, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2614 > 1, builtin, [], []).
step(0 is 2614 mod 2, builtin, [], []).
step(1307 is 2614 // 2, builtin, [], []).
step(collatz(1307, [1307, 3922, 1961, 5884, 2942, 1471, 4414, 2207, 6622, 3311, 9934, 4967, 14902, 7451, 22354, 11177, 33532, 16766, 8383, 25150, 12575, 37726, 18863, 56590, 28295, 84886, 42443, 127330, 63665, 190996, 95498, 47749, 143248, 71624, 35812, 17906, 8953, 26860, 13430, 6715, 20146, 10073, 30220, 15110, 7555, 22666, 11333, 34000, 17000, 8500, 4250, 2125, 6376, 3188, 1594, 797, 2392, 1196, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 1307,
      'J' = [3922, 1961, 5884, 2942, 1471, 4414, 2207, 6622, 3311, 9934, 4967, 14902, 7451, 22354, 11177, 33532, 16766, 8383, 25150, 12575, 37726, 18863, 56590, 28295, 84886, 42443, 127330, 63665, 190996, 95498, 47749, 143248, 71624, 35812, 17906, 8953, 26860, 13430, 6715, 20146, 10073, 30220, 15110, 7555, 22666, 11333, 34000, 17000, 8500, 4250, 2125, 6376, 3188, 1594, 797, 2392, 1196, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 3921,
      'N1' = 3922],
     [1307 > 1,
      1 is 1307 mod 2,
      3921 is 3 * 1307,
      3922 is 3921 + 1,
      collatz(3922, [3922, 1961, 5884, 2942, 1471, 4414, 2207, 6622, 3311, 9934, 4967, 14902, 7451, 22354, 11177, 33532, 16766, 8383, 25150, 12575, 37726, 18863, 56590, 28295, 84886, 42443, 127330, 63665, 190996, 95498, 47749, 143248, 71624, 35812, 17906, 8953, 26860, 13430, 6715, 20146, 10073, 30220, 15110, 7555, 22666, 11333, 34000, 17000, 8500, 4250, 2125, 6376, 3188, 1594, 797, 2392, 1196, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1307 > 1, builtin, [], []).
step(1 is 1307 mod 2, builtin, [], []).
step(3921 is 3 * 1307, builtin, [], []).
step(3922 is 3921 + 1, builtin, [], []).
step(collatz(3922, [3922, 1961, 5884, 2942, 1471, 4414, 2207, 6622, 3311, 9934, 4967, 14902, 7451, 22354, 11177, 33532, 16766, 8383, 25150, 12575, 37726, 18863, 56590, 28295, 84886, 42443, 127330, 63665, 190996, 95498, 47749, 143248, 71624, 35812, 17906, 8953, 26860, 13430, 6715, 20146, 10073, 30220, 15110, 7555, 22666, 11333, 34000, 17000, 8500, 4250, 2125, 6376, 3188, 1594, 797, 2392, 1196, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 3922,
      'J' = [1961, 5884, 2942, 1471, 4414, 2207, 6622, 3311, 9934, 4967, 14902, 7451, 22354, 11177, 33532, 16766, 8383, 25150, 12575, 37726, 18863, 56590, 28295, 84886, 42443, 127330, 63665, 190996, 95498, 47749, 143248, 71624, 35812, 17906, 8953, 26860, 13430, 6715, 20146, 10073, 30220, 15110, 7555, 22666, 11333, 34000, 17000, 8500, 4250, 2125, 6376, 3188, 1594, 797, 2392, 1196, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1961],
     [3922 > 1,
      0 is 3922 mod 2,
      1961 is 3922 // 2,
      collatz(1961, [1961, 5884, 2942, 1471, 4414, 2207, 6622, 3311, 9934, 4967, 14902, 7451, 22354, 11177, 33532, 16766, 8383, 25150, 12575, 37726, 18863, 56590, 28295, 84886, 42443, 127330, 63665, 190996, 95498, 47749, 143248, 71624, 35812, 17906, 8953, 26860, 13430, 6715, 20146, 10073, 30220, 15110, 7555, 22666, 11333, 34000, 17000, 8500, 4250, 2125, 6376, 3188, 1594, 797, 2392, 1196, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(3922 > 1, builtin, [], []).
step(0 is 3922 mod 2, builtin, [], []).
step(1961 is 3922 // 2, builtin, [], []).
step(collatz(1961, [1961, 5884, 2942, 1471, 4414, 2207, 6622, 3311, 9934, 4967, 14902, 7451, 22354, 11177, 33532, 16766, 8383, 25150, 12575, 37726, 18863, 56590, 28295, 84886, 42443, 127330, 63665, 190996, 95498, 47749, 143248, 71624, 35812, 17906, 8953, 26860, 13430, 6715, 20146, 10073, 30220, 15110, 7555, 22666, 11333, 34000, 17000, 8500, 4250, 2125, 6376, 3188, 1594, 797, 2392, 1196, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 1961,
      'J' = [5884, 2942, 1471, 4414, 2207, 6622, 3311, 9934, 4967, 14902, 7451, 22354, 11177, 33532, 16766, 8383, 25150, 12575, 37726, 18863, 56590, 28295, 84886, 42443, 127330, 63665, 190996, 95498, 47749, 143248, 71624, 35812, 17906, 8953, 26860, 13430, 6715, 20146, 10073, 30220, 15110, 7555, 22666, 11333, 34000, 17000, 8500, 4250, 2125, 6376, 3188, 1594, 797, 2392, 1196, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 5883,
      'N1' = 5884],
     [1961 > 1,
      1 is 1961 mod 2,
      5883 is 3 * 1961,
      5884 is 5883 + 1,
      collatz(5884, [5884, 2942, 1471, 4414, 2207, 6622, 3311, 9934, 4967, 14902, 7451, 22354, 11177, 33532, 16766, 8383, 25150, 12575, 37726, 18863, 56590, 28295, 84886, 42443, 127330, 63665, 190996, 95498, 47749, 143248, 71624, 35812, 17906, 8953, 26860, 13430, 6715, 20146, 10073, 30220, 15110, 7555, 22666, 11333, 34000, 17000, 8500, 4250, 2125, 6376, 3188, 1594, 797, 2392, 1196, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1961 > 1, builtin, [], []).
step(1 is 1961 mod 2, builtin, [], []).
step(5883 is 3 * 1961, builtin, [], []).
step(5884 is 5883 + 1, builtin, [], []).
step(collatz(5884, [5884, 2942, 1471, 4414, 2207, 6622, 3311, 9934, 4967, 14902, 7451, 22354, 11177, 33532, 16766, 8383, 25150, 12575, 37726, 18863, 56590, 28295, 84886, 42443, 127330, 63665, 190996, 95498, 47749, 143248, 71624, 35812, 17906, 8953, 26860, 13430, 6715, 20146, 10073, 30220, 15110, 7555, 22666, 11333, 34000, 17000, 8500, 4250, 2125, 6376, 3188, 1594, 797, 2392, 1196, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 5884,
      'J' = [2942, 1471, 4414, 2207, 6622, 3311, 9934, 4967, 14902, 7451, 22354, 11177, 33532, 16766, 8383, 25150, 12575, 37726, 18863, 56590, 28295, 84886, 42443, 127330, 63665, 190996, 95498, 47749, 143248, 71624, 35812, 17906, 8953, 26860, 13430, 6715, 20146, 10073, 30220, 15110, 7555, 22666, 11333, 34000, 17000, 8500, 4250, 2125, 6376, 3188, 1594, 797, 2392, 1196, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 2942],
     [5884 > 1,
      0 is 5884 mod 2,
      2942 is 5884 // 2,
      collatz(2942, [2942, 1471, 4414, 2207, 6622, 3311, 9934, 4967, 14902, 7451, 22354, 11177, 33532, 16766, 8383, 25150, 12575, 37726, 18863, 56590, 28295, 84886, 42443, 127330, 63665, 190996, 95498, 47749, 143248, 71624, 35812, 17906, 8953, 26860, 13430, 6715, 20146, 10073, 30220, 15110, 7555, 22666, 11333, 34000, 17000, 8500, 4250, 2125, 6376, 3188, 1594, 797, 2392, 1196, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(5884 > 1, builtin, [], []).
step(0 is 5884 mod 2, builtin, [], []).
step(2942 is 5884 // 2, builtin, [], []).
step(collatz(2942, [2942, 1471, 4414, 2207, 6622, 3311, 9934, 4967, 14902, 7451, 22354, 11177, 33532, 16766, 8383, 25150, 12575, 37726, 18863, 56590, 28295, 84886, 42443, 127330, 63665, 190996, 95498, 47749, 143248, 71624, 35812, 17906, 8953, 26860, 13430, 6715, 20146, 10073, 30220, 15110, 7555, 22666, 11333, 34000, 17000, 8500, 4250, 2125, 6376, 3188, 1594, 797, 2392, 1196, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 2942,
      'J' = [1471, 4414, 2207, 6622, 3311, 9934, 4967, 14902, 7451, 22354, 11177, 33532, 16766, 8383, 25150, 12575, 37726, 18863, 56590, 28295, 84886, 42443, 127330, 63665, 190996, 95498, 47749, 143248, 71624, 35812, 17906, 8953, 26860, 13430, 6715, 20146, 10073, 30220, 15110, 7555, 22666, 11333, 34000, 17000, 8500, 4250, 2125, 6376, 3188, 1594, 797, 2392, 1196, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1471],
     [2942 > 1,
      0 is 2942 mod 2,
      1471 is 2942 // 2,
      collatz(1471, [1471, 4414, 2207, 6622, 3311, 9934, 4967, 14902, 7451, 22354, 11177, 33532, 16766, 8383, 25150, 12575, 37726, 18863, 56590, 28295, 84886, 42443, 127330, 63665, 190996, 95498, 47749, 143248, 71624, 35812, 17906, 8953, 26860, 13430, 6715, 20146, 10073, 30220, 15110, 7555, 22666, 11333, 34000, 17000, 8500, 4250, 2125, 6376, 3188, 1594, 797, 2392, 1196, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2942 > 1, builtin, [], []).
step(0 is 2942 mod 2, builtin, [], []).
step(1471 is 2942 // 2, builtin, [], []).
step(collatz(1471, [1471, 4414, 2207, 6622, 3311, 9934, 4967, 14902, 7451, 22354, 11177, 33532, 16766, 8383, 25150, 12575, 37726, 18863, 56590, 28295, 84886, 42443, 127330, 63665, 190996, 95498, 47749, 143248, 71624, 35812, 17906, 8953, 26860, 13430, 6715, 20146, 10073, 30220, 15110, 7555, 22666, 11333, 34000, 17000, 8500, 4250, 2125, 6376, 3188, 1594, 797, 2392, 1196, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 1471,
      'J' = [4414, 2207, 6622, 3311, 9934, 4967, 14902, 7451, 22354, 11177, 33532, 16766, 8383, 25150, 12575, 37726, 18863, 56590, 28295, 84886, 42443, 127330, 63665, 190996, 95498, 47749, 143248, 71624, 35812, 17906, 8953, 26860, 13430, 6715, 20146, 10073, 30220, 15110, 7555, 22666, 11333, 34000, 17000, 8500, 4250, 2125, 6376, 3188, 1594, 797, 2392, 1196, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 4413,
      'N1' = 4414],
     [1471 > 1,
      1 is 1471 mod 2,
      4413 is 3 * 1471,
      4414 is 4413 + 1,
      collatz(4414, [4414, 2207, 6622, 3311, 9934, 4967, 14902, 7451, 22354, 11177, 33532, 16766, 8383, 25150, 12575, 37726, 18863, 56590, 28295, 84886, 42443, 127330, 63665, 190996, 95498, 47749, 143248, 71624, 35812, 17906, 8953, 26860, 13430, 6715, 20146, 10073, 30220, 15110, 7555, 22666, 11333, 34000, 17000, 8500, 4250, 2125, 6376, 3188, 1594, 797, 2392, 1196, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1471 > 1, builtin, [], []).
step(1 is 1471 mod 2, builtin, [], []).
step(4413 is 3 * 1471, builtin, [], []).
step(4414 is 4413 + 1, builtin, [], []).
step(collatz(4414, [4414, 2207, 6622, 3311, 9934, 4967, 14902, 7451, 22354, 11177, 33532, 16766, 8383, 25150, 12575, 37726, 18863, 56590, 28295, 84886, 42443, 127330, 63665, 190996, 95498, 47749, 143248, 71624, 35812, 17906, 8953, 26860, 13430, 6715, 20146, 10073, 30220, 15110, 7555, 22666, 11333, 34000, 17000, 8500, 4250, 2125, 6376, 3188, 1594, 797, 2392, 1196, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 4414,
      'J' = [2207, 6622, 3311, 9934, 4967, 14902, 7451, 22354, 11177, 33532, 16766, 8383, 25150, 12575, 37726, 18863, 56590, 28295, 84886, 42443, 127330, 63665, 190996, 95498, 47749, 143248, 71624, 35812, 17906, 8953, 26860, 13430, 6715, 20146, 10073, 30220, 15110, 7555, 22666, 11333, 34000, 17000, 8500, 4250, 2125, 6376, 3188, 1594, 797, 2392, 1196, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 2207],
     [4414 > 1,
      0 is 4414 mod 2,
      2207 is 4414 // 2,
      collatz(2207, [2207, 6622, 3311, 9934, 4967, 14902, 7451, 22354, 11177, 33532, 16766, 8383, 25150, 12575, 37726, 18863, 56590, 28295, 84886, 42443, 127330, 63665, 190996, 95498, 47749, 143248, 71624, 35812, 17906, 8953, 26860, 13430, 6715, 20146, 10073, 30220, 15110, 7555, 22666, 11333, 34000, 17000, 8500, 4250, 2125, 6376, 3188, 1594, 797, 2392, 1196, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(4414 > 1, builtin, [], []).
step(0 is 4414 mod 2, builtin, [], []).
step(2207 is 4414 // 2, builtin, [], []).
step(collatz(2207, [2207, 6622, 3311, 9934, 4967, 14902, 7451, 22354, 11177, 33532, 16766, 8383, 25150, 12575, 37726, 18863, 56590, 28295, 84886, 42443, 127330, 63665, 190996, 95498, 47749, 143248, 71624, 35812, 17906, 8953, 26860, 13430, 6715, 20146, 10073, 30220, 15110, 7555, 22666, 11333, 34000, 17000, 8500, 4250, 2125, 6376, 3188, 1594, 797, 2392, 1196, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 2207,
      'J' = [6622, 3311, 9934, 4967, 14902, 7451, 22354, 11177, 33532, 16766, 8383, 25150, 12575, 37726, 18863, 56590, 28295, 84886, 42443, 127330, 63665, 190996, 95498, 47749, 143248, 71624, 35812, 17906, 8953, 26860, 13430, 6715, 20146, 10073, 30220, 15110, 7555, 22666, 11333, 34000, 17000, 8500, 4250, 2125, 6376, 3188, 1594, 797, 2392, 1196, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 6621,
      'N1' = 6622],
     [2207 > 1,
      1 is 2207 mod 2,
      6621 is 3 * 2207,
      6622 is 6621 + 1,
      collatz(6622, [6622, 3311, 9934, 4967, 14902, 7451, 22354, 11177, 33532, 16766, 8383, 25150, 12575, 37726, 18863, 56590, 28295, 84886, 42443, 127330, 63665, 190996, 95498, 47749, 143248, 71624, 35812, 17906, 8953, 26860, 13430, 6715, 20146, 10073, 30220, 15110, 7555, 22666, 11333, 34000, 17000, 8500, 4250, 2125, 6376, 3188, 1594, 797, 2392, 1196, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2207 > 1, builtin, [], []).
step(1 is 2207 mod 2, builtin, [], []).
step(6621 is 3 * 2207, builtin, [], []).
step(6622 is 6621 + 1, builtin, [], []).
step(collatz(6622, [6622, 3311, 9934, 4967, 14902, 7451, 22354, 11177, 33532, 16766, 8383, 25150, 12575, 37726, 18863, 56590, 28295, 84886, 42443, 127330, 63665, 190996, 95498, 47749, 143248, 71624, 35812, 17906, 8953, 26860, 13430, 6715, 20146, 10073, 30220, 15110, 7555, 22666, 11333, 34000, 17000, 8500, 4250, 2125, 6376, 3188, 1594, 797, 2392, 1196, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 6622,
      'J' = [3311, 9934, 4967, 14902, 7451, 22354, 11177, 33532, 16766, 8383, 25150, 12575, 37726, 18863, 56590, 28295, 84886, 42443, 127330, 63665, 190996, 95498, 47749, 143248, 71624, 35812, 17906, 8953, 26860, 13430, 6715, 20146, 10073, 30220, 15110, 7555, 22666, 11333, 34000, 17000, 8500, 4250, 2125, 6376, 3188, 1594, 797, 2392, 1196, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 3311],
     [6622 > 1,
      0 is 6622 mod 2,
      3311 is 6622 // 2,
      collatz(3311, [3311, 9934, 4967, 14902, 7451, 22354, 11177, 33532, 16766, 8383, 25150, 12575, 37726, 18863, 56590, 28295, 84886, 42443, 127330, 63665, 190996, 95498, 47749, 143248, 71624, 35812, 17906, 8953, 26860, 13430, 6715, 20146, 10073, 30220, 15110, 7555, 22666, 11333, 34000, 17000, 8500, 4250, 2125, 6376, 3188, 1594, 797, 2392, 1196, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(6622 > 1, builtin, [], []).
step(0 is 6622 mod 2, builtin, [], []).
step(3311 is 6622 // 2, builtin, [], []).
step(collatz(3311, [3311, 9934, 4967, 14902, 7451, 22354, 11177, 33532, 16766, 8383, 25150, 12575, 37726, 18863, 56590, 28295, 84886, 42443, 127330, 63665, 190996, 95498, 47749, 143248, 71624, 35812, 17906, 8953, 26860, 13430, 6715, 20146, 10073, 30220, 15110, 7555, 22666, 11333, 34000, 17000, 8500, 4250, 2125, 6376, 3188, 1594, 797, 2392, 1196, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 3311,
      'J' = [9934, 4967, 14902, 7451, 22354, 11177, 33532, 16766, 8383, 25150, 12575, 37726, 18863, 56590, 28295, 84886, 42443, 127330, 63665, 190996, 95498, 47749, 143248, 71624, 35812, 17906, 8953, 26860, 13430, 6715, 20146, 10073, 30220, 15110, 7555, 22666, 11333, 34000, 17000, 8500, 4250, 2125, 6376, 3188, 1594, 797, 2392, 1196, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 9933,
      'N1' = 9934],
     [3311 > 1,
      1 is 3311 mod 2,
      9933 is 3 * 3311,
      9934 is 9933 + 1,
      collatz(9934, [9934, 4967, 14902, 7451, 22354, 11177, 33532, 16766, 8383, 25150, 12575, 37726, 18863, 56590, 28295, 84886, 42443, 127330, 63665, 190996, 95498, 47749, 143248, 71624, 35812, 17906, 8953, 26860, 13430, 6715, 20146, 10073, 30220, 15110, 7555, 22666, 11333, 34000, 17000, 8500, 4250, 2125, 6376, 3188, 1594, 797, 2392, 1196, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(3311 > 1, builtin, [], []).
step(1 is 3311 mod 2, builtin, [], []).
step(9933 is 3 * 3311, builtin, [], []).
step(9934 is 9933 + 1, builtin, [], []).
step(collatz(9934, [9934, 4967, 14902, 7451, 22354, 11177, 33532, 16766, 8383, 25150, 12575, 37726, 18863, 56590, 28295, 84886, 42443, 127330, 63665, 190996, 95498, 47749, 143248, 71624, 35812, 17906, 8953, 26860, 13430, 6715, 20146, 10073, 30220, 15110, 7555, 22666, 11333, 34000, 17000, 8500, 4250, 2125, 6376, 3188, 1594, 797, 2392, 1196, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 9934,
      'J' = [4967, 14902, 7451, 22354, 11177, 33532, 16766, 8383, 25150, 12575, 37726, 18863, 56590, 28295, 84886, 42443, 127330, 63665, 190996, 95498, 47749, 143248, 71624, 35812, 17906, 8953, 26860, 13430, 6715, 20146, 10073, 30220, 15110, 7555, 22666, 11333, 34000, 17000, 8500, 4250, 2125, 6376, 3188, 1594, 797, 2392, 1196, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 4967],
     [9934 > 1,
      0 is 9934 mod 2,
      4967 is 9934 // 2,
      collatz(4967, [4967, 14902, 7451, 22354, 11177, 33532, 16766, 8383, 25150, 12575, 37726, 18863, 56590, 28295, 84886, 42443, 127330, 63665, 190996, 95498, 47749, 143248, 71624, 35812, 17906, 8953, 26860, 13430, 6715, 20146, 10073, 30220, 15110, 7555, 22666, 11333, 34000, 17000, 8500, 4250, 2125, 6376, 3188, 1594, 797, 2392, 1196, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(9934 > 1, builtin, [], []).
step(0 is 9934 mod 2, builtin, [], []).
step(4967 is 9934 // 2, builtin, [], []).
step(collatz(4967, [4967, 14902, 7451, 22354, 11177, 33532, 16766, 8383, 25150, 12575, 37726, 18863, 56590, 28295, 84886, 42443, 127330, 63665, 190996, 95498, 47749, 143248, 71624, 35812, 17906, 8953, 26860, 13430, 6715, 20146, 10073, 30220, 15110, 7555, 22666, 11333, 34000, 17000, 8500, 4250, 2125, 6376, 3188, 1594, 797, 2392, 1196, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 4967,
      'J' = [14902, 7451, 22354, 11177, 33532, 16766, 8383, 25150, 12575, 37726, 18863, 56590, 28295, 84886, 42443, 127330, 63665, 190996, 95498, 47749, 143248, 71624, 35812, 17906, 8953, 26860, 13430, 6715, 20146, 10073, 30220, 15110, 7555, 22666, 11333, 34000, 17000, 8500, 4250, 2125, 6376, 3188, 1594, 797, 2392, 1196, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 14901,
      'N1' = 14902],
     [4967 > 1,
      1 is 4967 mod 2,
      14901 is 3 * 4967,
      14902 is 14901 + 1,
      collatz(14902, [14902, 7451, 22354, 11177, 33532, 16766, 8383, 25150, 12575, 37726, 18863, 56590, 28295, 84886, 42443, 127330, 63665, 190996, 95498, 47749, 143248, 71624, 35812, 17906, 8953, 26860, 13430, 6715, 20146, 10073, 30220, 15110, 7555, 22666, 11333, 34000, 17000, 8500, 4250, 2125, 6376, 3188, 1594, 797, 2392, 1196, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(4967 > 1, builtin, [], []).
step(1 is 4967 mod 2, builtin, [], []).
step(14901 is 3 * 4967, builtin, [], []).
step(14902 is 14901 + 1, builtin, [], []).
step(collatz(14902, [14902, 7451, 22354, 11177, 33532, 16766, 8383, 25150, 12575, 37726, 18863, 56590, 28295, 84886, 42443, 127330, 63665, 190996, 95498, 47749, 143248, 71624, 35812, 17906, 8953, 26860, 13430, 6715, 20146, 10073, 30220, 15110, 7555, 22666, 11333, 34000, 17000, 8500, 4250, 2125, 6376, 3188, 1594, 797, 2392, 1196, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 14902,
      'J' = [7451, 22354, 11177, 33532, 16766, 8383, 25150, 12575, 37726, 18863, 56590, 28295, 84886, 42443, 127330, 63665, 190996, 95498, 47749, 143248, 71624, 35812, 17906, 8953, 26860, 13430, 6715, 20146, 10073, 30220, 15110, 7555, 22666, 11333, 34000, 17000, 8500, 4250, 2125, 6376, 3188, 1594, 797, 2392, 1196, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 7451],
     [14902 > 1,
      0 is 14902 mod 2,
      7451 is 14902 // 2,
      collatz(7451, [7451, 22354, 11177, 33532, 16766, 8383, 25150, 12575, 37726, 18863, 56590, 28295, 84886, 42443, 127330, 63665, 190996, 95498, 47749, 143248, 71624, 35812, 17906, 8953, 26860, 13430, 6715, 20146, 10073, 30220, 15110, 7555, 22666, 11333, 34000, 17000, 8500, 4250, 2125, 6376, 3188, 1594, 797, 2392, 1196, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(14902 > 1, builtin, [], []).
step(0 is 14902 mod 2, builtin, [], []).
step(7451 is 14902 // 2, builtin, [], []).
step(collatz(7451, [7451, 22354, 11177, 33532, 16766, 8383, 25150, 12575, 37726, 18863, 56590, 28295, 84886, 42443, 127330, 63665, 190996, 95498, 47749, 143248, 71624, 35812, 17906, 8953, 26860, 13430, 6715, 20146, 10073, 30220, 15110, 7555, 22666, 11333, 34000, 17000, 8500, 4250, 2125, 6376, 3188, 1594, 797, 2392, 1196, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 7451,
      'J' = [22354, 11177, 33532, 16766, 8383, 25150, 12575, 37726, 18863, 56590, 28295, 84886, 42443, 127330, 63665, 190996, 95498, 47749, 143248, 71624, 35812, 17906, 8953, 26860, 13430, 6715, 20146, 10073, 30220, 15110, 7555, 22666, 11333, 34000, 17000, 8500, 4250, 2125, 6376, 3188, 1594, 797, 2392, 1196, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 22353,
      'N1' = 22354],
     [7451 > 1,
      1 is 7451 mod 2,
      22353 is 3 * 7451,
      22354 is 22353 + 1,
      collatz(22354, [22354, 11177, 33532, 16766, 8383, 25150, 12575, 37726, 18863, 56590, 28295, 84886, 42443, 127330, 63665, 190996, 95498, 47749, 143248, 71624, 35812, 17906, 8953, 26860, 13430, 6715, 20146, 10073, 30220, 15110, 7555, 22666, 11333, 34000, 17000, 8500, 4250, 2125, 6376, 3188, 1594, 797, 2392, 1196, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(7451 > 1, builtin, [], []).
step(1 is 7451 mod 2, builtin, [], []).
step(22353 is 3 * 7451, builtin, [], []).
step(22354 is 22353 + 1, builtin, [], []).
step(collatz(22354, [22354, 11177, 33532, 16766, 8383, 25150, 12575, 37726, 18863, 56590, 28295, 84886, 42443, 127330, 63665, 190996, 95498, 47749, 143248, 71624, 35812, 17906, 8953, 26860, 13430, 6715, 20146, 10073, 30220, 15110, 7555, 22666, 11333, 34000, 17000, 8500, 4250, 2125, 6376, 3188, 1594, 797, 2392, 1196, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 22354,
      'J' = [11177, 33532, 16766, 8383, 25150, 12575, 37726, 18863, 56590, 28295, 84886, 42443, 127330, 63665, 190996, 95498, 47749, 143248, 71624, 35812, 17906, 8953, 26860, 13430, 6715, 20146, 10073, 30220, 15110, 7555, 22666, 11333, 34000, 17000, 8500, 4250, 2125, 6376, 3188, 1594, 797, 2392, 1196, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 11177],
     [22354 > 1,
      0 is 22354 mod 2,
      11177 is 22354 // 2,
      collatz(11177, [11177, 33532, 16766, 8383, 25150, 12575, 37726, 18863, 56590, 28295, 84886, 42443, 127330, 63665, 190996, 95498, 47749, 143248, 71624, 35812, 17906, 8953, 26860, 13430, 6715, 20146, 10073, 30220, 15110, 7555, 22666, 11333, 34000, 17000, 8500, 4250, 2125, 6376, 3188, 1594, 797, 2392, 1196, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(22354 > 1, builtin, [], []).
step(0 is 22354 mod 2, builtin, [], []).
step(11177 is 22354 // 2, builtin, [], []).
step(collatz(11177, [11177, 33532, 16766, 8383, 25150, 12575, 37726, 18863, 56590, 28295, 84886, 42443, 127330, 63665, 190996, 95498, 47749, 143248, 71624, 35812, 17906, 8953, 26860, 13430, 6715, 20146, 10073, 30220, 15110, 7555, 22666, 11333, 34000, 17000, 8500, 4250, 2125, 6376, 3188, 1594, 797, 2392, 1196, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 11177,
      'J' = [33532, 16766, 8383, 25150, 12575, 37726, 18863, 56590, 28295, 84886, 42443, 127330, 63665, 190996, 95498, 47749, 143248, 71624, 35812, 17906, 8953, 26860, 13430, 6715, 20146, 10073, 30220, 15110, 7555, 22666, 11333, 34000, 17000, 8500, 4250, 2125, 6376, 3188, 1594, 797, 2392, 1196, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 33531,
      'N1' = 33532],
     [11177 > 1,
      1 is 11177 mod 2,
      33531 is 3 * 11177,
      33532 is 33531 + 1,
      collatz(33532, [33532, 16766, 8383, 25150, 12575, 37726, 18863, 56590, 28295, 84886, 42443, 127330, 63665, 190996, 95498, 47749, 143248, 71624, 35812, 17906, 8953, 26860, 13430, 6715, 20146, 10073, 30220, 15110, 7555, 22666, 11333, 34000, 17000, 8500, 4250, 2125, 6376, 3188, 1594, 797, 2392, 1196, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(11177 > 1, builtin, [], []).
step(1 is 11177 mod 2, builtin, [], []).
step(33531 is 3 * 11177, builtin, [], []).
step(33532 is 33531 + 1, builtin, [], []).
step(collatz(33532, [33532, 16766, 8383, 25150, 12575, 37726, 18863, 56590, 28295, 84886, 42443, 127330, 63665, 190996, 95498, 47749, 143248, 71624, 35812, 17906, 8953, 26860, 13430, 6715, 20146, 10073, 30220, 15110, 7555, 22666, 11333, 34000, 17000, 8500, 4250, 2125, 6376, 3188, 1594, 797, 2392, 1196, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 33532,
      'J' = [16766, 8383, 25150, 12575, 37726, 18863, 56590, 28295, 84886, 42443, 127330, 63665, 190996, 95498, 47749, 143248, 71624, 35812, 17906, 8953, 26860, 13430, 6715, 20146, 10073, 30220, 15110, 7555, 22666, 11333, 34000, 17000, 8500, 4250, 2125, 6376, 3188, 1594, 797, 2392, 1196, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 16766],
     [33532 > 1,
      0 is 33532 mod 2,
      16766 is 33532 // 2,
      collatz(16766, [16766, 8383, 25150, 12575, 37726, 18863, 56590, 28295, 84886, 42443, 127330, 63665, 190996, 95498, 47749, 143248, 71624, 35812, 17906, 8953, 26860, 13430, 6715, 20146, 10073, 30220, 15110, 7555, 22666, 11333, 34000, 17000, 8500, 4250, 2125, 6376, 3188, 1594, 797, 2392, 1196, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(33532 > 1, builtin, [], []).
step(0 is 33532 mod 2, builtin, [], []).
step(16766 is 33532 // 2, builtin, [], []).
step(collatz(16766, [16766, 8383, 25150, 12575, 37726, 18863, 56590, 28295, 84886, 42443, 127330, 63665, 190996, 95498, 47749, 143248, 71624, 35812, 17906, 8953, 26860, 13430, 6715, 20146, 10073, 30220, 15110, 7555, 22666, 11333, 34000, 17000, 8500, 4250, 2125, 6376, 3188, 1594, 797, 2392, 1196, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 16766,
      'J' = [8383, 25150, 12575, 37726, 18863, 56590, 28295, 84886, 42443, 127330, 63665, 190996, 95498, 47749, 143248, 71624, 35812, 17906, 8953, 26860, 13430, 6715, 20146, 10073, 30220, 15110, 7555, 22666, 11333, 34000, 17000, 8500, 4250, 2125, 6376, 3188, 1594, 797, 2392, 1196, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 8383],
     [16766 > 1,
      0 is 16766 mod 2,
      8383 is 16766 // 2,
      collatz(8383, [8383, 25150, 12575, 37726, 18863, 56590, 28295, 84886, 42443, 127330, 63665, 190996, 95498, 47749, 143248, 71624, 35812, 17906, 8953, 26860, 13430, 6715, 20146, 10073, 30220, 15110, 7555, 22666, 11333, 34000, 17000, 8500, 4250, 2125, 6376, 3188, 1594, 797, 2392, 1196, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(16766 > 1, builtin, [], []).
step(0 is 16766 mod 2, builtin, [], []).
step(8383 is 16766 // 2, builtin, [], []).
step(collatz(8383, [8383, 25150, 12575, 37726, 18863, 56590, 28295, 84886, 42443, 127330, 63665, 190996, 95498, 47749, 143248, 71624, 35812, 17906, 8953, 26860, 13430, 6715, 20146, 10073, 30220, 15110, 7555, 22666, 11333, 34000, 17000, 8500, 4250, 2125, 6376, 3188, 1594, 797, 2392, 1196, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 8383,
      'J' = [25150, 12575, 37726, 18863, 56590, 28295, 84886, 42443, 127330, 63665, 190996, 95498, 47749, 143248, 71624, 35812, 17906, 8953, 26860, 13430, 6715, 20146, 10073, 30220, 15110, 7555, 22666, 11333, 34000, 17000, 8500, 4250, 2125, 6376, 3188, 1594, 797, 2392, 1196, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 25149,
      'N1' = 25150],
     [8383 > 1,
      1 is 8383 mod 2,
      25149 is 3 * 8383,
      25150 is 25149 + 1,
      collatz(25150, [25150, 12575, 37726, 18863, 56590, 28295, 84886, 42443, 127330, 63665, 190996, 95498, 47749, 143248, 71624, 35812, 17906, 8953, 26860, 13430, 6715, 20146, 10073, 30220, 15110, 7555, 22666, 11333, 34000, 17000, 8500, 4250, 2125, 6376, 3188, 1594, 797, 2392, 1196, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(8383 > 1, builtin, [], []).
step(1 is 8383 mod 2, builtin, [], []).
step(25149 is 3 * 8383, builtin, [], []).
step(25150 is 25149 + 1, builtin, [], []).
step(collatz(25150, [25150, 12575, 37726, 18863, 56590, 28295, 84886, 42443, 127330, 63665, 190996, 95498, 47749, 143248, 71624, 35812, 17906, 8953, 26860, 13430, 6715, 20146, 10073, 30220, 15110, 7555, 22666, 11333, 34000, 17000, 8500, 4250, 2125, 6376, 3188, 1594, 797, 2392, 1196, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 25150,
      'J' = [12575, 37726, 18863, 56590, 28295, 84886, 42443, 127330, 63665, 190996, 95498, 47749, 143248, 71624, 35812, 17906, 8953, 26860, 13430, 6715, 20146, 10073, 30220, 15110, 7555, 22666, 11333, 34000, 17000, 8500, 4250, 2125, 6376, 3188, 1594, 797, 2392, 1196, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 12575],
     [25150 > 1,
      0 is 25150 mod 2,
      12575 is 25150 // 2,
      collatz(12575, [12575, 37726, 18863, 56590, 28295, 84886, 42443, 127330, 63665, 190996, 95498, 47749, 143248, 71624, 35812, 17906, 8953, 26860, 13430, 6715, 20146, 10073, 30220, 15110, 7555, 22666, 11333, 34000, 17000, 8500, 4250, 2125, 6376, 3188, 1594, 797, 2392, 1196, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(25150 > 1, builtin, [], []).
step(0 is 25150 mod 2, builtin, [], []).
step(12575 is 25150 // 2, builtin, [], []).
step(collatz(12575, [12575, 37726, 18863, 56590, 28295, 84886, 42443, 127330, 63665, 190996, 95498, 47749, 143248, 71624, 35812, 17906, 8953, 26860, 13430, 6715, 20146, 10073, 30220, 15110, 7555, 22666, 11333, 34000, 17000, 8500, 4250, 2125, 6376, 3188, 1594, 797, 2392, 1196, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 12575,
      'J' = [37726, 18863, 56590, 28295, 84886, 42443, 127330, 63665, 190996, 95498, 47749, 143248, 71624, 35812, 17906, 8953, 26860, 13430, 6715, 20146, 10073, 30220, 15110, 7555, 22666, 11333, 34000, 17000, 8500, 4250, 2125, 6376, 3188, 1594, 797, 2392, 1196, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 37725,
      'N1' = 37726],
     [12575 > 1,
      1 is 12575 mod 2,
      37725 is 3 * 12575,
      37726 is 37725 + 1,
      collatz(37726, [37726, 18863, 56590, 28295, 84886, 42443, 127330, 63665, 190996, 95498, 47749, 143248, 71624, 35812, 17906, 8953, 26860, 13430, 6715, 20146, 10073, 30220, 15110, 7555, 22666, 11333, 34000, 17000, 8500, 4250, 2125, 6376, 3188, 1594, 797, 2392, 1196, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(12575 > 1, builtin, [], []).
step(1 is 12575 mod 2, builtin, [], []).
step(37725 is 3 * 12575, builtin, [], []).
step(37726 is 37725 + 1, builtin, [], []).
step(collatz(37726, [37726, 18863, 56590, 28295, 84886, 42443, 127330, 63665, 190996, 95498, 47749, 143248, 71624, 35812, 17906, 8953, 26860, 13430, 6715, 20146, 10073, 30220, 15110, 7555, 22666, 11333, 34000, 17000, 8500, 4250, 2125, 6376, 3188, 1594, 797, 2392, 1196, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 37726,
      'J' = [18863, 56590, 28295, 84886, 42443, 127330, 63665, 190996, 95498, 47749, 143248, 71624, 35812, 17906, 8953, 26860, 13430, 6715, 20146, 10073, 30220, 15110, 7555, 22666, 11333, 34000, 17000, 8500, 4250, 2125, 6376, 3188, 1594, 797, 2392, 1196, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 18863],
     [37726 > 1,
      0 is 37726 mod 2,
      18863 is 37726 // 2,
      collatz(18863, [18863, 56590, 28295, 84886, 42443, 127330, 63665, 190996, 95498, 47749, 143248, 71624, 35812, 17906, 8953, 26860, 13430, 6715, 20146, 10073, 30220, 15110, 7555, 22666, 11333, 34000, 17000, 8500, 4250, 2125, 6376, 3188, 1594, 797, 2392, 1196, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(37726 > 1, builtin, [], []).
step(0 is 37726 mod 2, builtin, [], []).
step(18863 is 37726 // 2, builtin, [], []).
step(collatz(18863, [18863, 56590, 28295, 84886, 42443, 127330, 63665, 190996, 95498, 47749, 143248, 71624, 35812, 17906, 8953, 26860, 13430, 6715, 20146, 10073, 30220, 15110, 7555, 22666, 11333, 34000, 17000, 8500, 4250, 2125, 6376, 3188, 1594, 797, 2392, 1196, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 18863,
      'J' = [56590, 28295, 84886, 42443, 127330, 63665, 190996, 95498, 47749, 143248, 71624, 35812, 17906, 8953, 26860, 13430, 6715, 20146, 10073, 30220, 15110, 7555, 22666, 11333, 34000, 17000, 8500, 4250, 2125, 6376, 3188, 1594, 797, 2392, 1196, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 56589,
      'N1' = 56590],
     [18863 > 1,
      1 is 18863 mod 2,
      56589 is 3 * 18863,
      56590 is 56589 + 1,
      collatz(56590, [56590, 28295, 84886, 42443, 127330, 63665, 190996, 95498, 47749, 143248, 71624, 35812, 17906, 8953, 26860, 13430, 6715, 20146, 10073, 30220, 15110, 7555, 22666, 11333, 34000, 17000, 8500, 4250, 2125, 6376, 3188, 1594, 797, 2392, 1196, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(18863 > 1, builtin, [], []).
step(1 is 18863 mod 2, builtin, [], []).
step(56589 is 3 * 18863, builtin, [], []).
step(56590 is 56589 + 1, builtin, [], []).
step(collatz(56590, [56590, 28295, 84886, 42443, 127330, 63665, 190996, 95498, 47749, 143248, 71624, 35812, 17906, 8953, 26860, 13430, 6715, 20146, 10073, 30220, 15110, 7555, 22666, 11333, 34000, 17000, 8500, 4250, 2125, 6376, 3188, 1594, 797, 2392, 1196, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 56590,
      'J' = [28295, 84886, 42443, 127330, 63665, 190996, 95498, 47749, 143248, 71624, 35812, 17906, 8953, 26860, 13430, 6715, 20146, 10073, 30220, 15110, 7555, 22666, 11333, 34000, 17000, 8500, 4250, 2125, 6376, 3188, 1594, 797, 2392, 1196, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 28295],
     [56590 > 1,
      0 is 56590 mod 2,
      28295 is 56590 // 2,
      collatz(28295, [28295, 84886, 42443, 127330, 63665, 190996, 95498, 47749, 143248, 71624, 35812, 17906, 8953, 26860, 13430, 6715, 20146, 10073, 30220, 15110, 7555, 22666, 11333, 34000, 17000, 8500, 4250, 2125, 6376, 3188, 1594, 797, 2392, 1196, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(56590 > 1, builtin, [], []).
step(0 is 56590 mod 2, builtin, [], []).
step(28295 is 56590 // 2, builtin, [], []).
step(collatz(28295, [28295, 84886, 42443, 127330, 63665, 190996, 95498, 47749, 143248, 71624, 35812, 17906, 8953, 26860, 13430, 6715, 20146, 10073, 30220, 15110, 7555, 22666, 11333, 34000, 17000, 8500, 4250, 2125, 6376, 3188, 1594, 797, 2392, 1196, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 28295,
      'J' = [84886, 42443, 127330, 63665, 190996, 95498, 47749, 143248, 71624, 35812, 17906, 8953, 26860, 13430, 6715, 20146, 10073, 30220, 15110, 7555, 22666, 11333, 34000, 17000, 8500, 4250, 2125, 6376, 3188, 1594, 797, 2392, 1196, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 84885,
      'N1' = 84886],
     [28295 > 1,
      1 is 28295 mod 2,
      84885 is 3 * 28295,
      84886 is 84885 + 1,
      collatz(84886, [84886, 42443, 127330, 63665, 190996, 95498, 47749, 143248, 71624, 35812, 17906, 8953, 26860, 13430, 6715, 20146, 10073, 30220, 15110, 7555, 22666, 11333, 34000, 17000, 8500, 4250, 2125, 6376, 3188, 1594, 797, 2392, 1196, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(28295 > 1, builtin, [], []).
step(1 is 28295 mod 2, builtin, [], []).
step(84885 is 3 * 28295, builtin, [], []).
step(84886 is 84885 + 1, builtin, [], []).
step(collatz(84886, [84886, 42443, 127330, 63665, 190996, 95498, 47749, 143248, 71624, 35812, 17906, 8953, 26860, 13430, 6715, 20146, 10073, 30220, 15110, 7555, 22666, 11333, 34000, 17000, 8500, 4250, 2125, 6376, 3188, 1594, 797, 2392, 1196, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 84886,
      'J' = [42443, 127330, 63665, 190996, 95498, 47749, 143248, 71624, 35812, 17906, 8953, 26860, 13430, 6715, 20146, 10073, 30220, 15110, 7555, 22666, 11333, 34000, 17000, 8500, 4250, 2125, 6376, 3188, 1594, 797, 2392, 1196, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 42443],
     [84886 > 1,
      0 is 84886 mod 2,
      42443 is 84886 // 2,
      collatz(42443, [42443, 127330, 63665, 190996, 95498, 47749, 143248, 71624, 35812, 17906, 8953, 26860, 13430, 6715, 20146, 10073, 30220, 15110, 7555, 22666, 11333, 34000, 17000, 8500, 4250, 2125, 6376, 3188, 1594, 797, 2392, 1196, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(84886 > 1, builtin, [], []).
step(0 is 84886 mod 2, builtin, [], []).
step(42443 is 84886 // 2, builtin, [], []).
step(collatz(42443, [42443, 127330, 63665, 190996, 95498, 47749, 143248, 71624, 35812, 17906, 8953, 26860, 13430, 6715, 20146, 10073, 30220, 15110, 7555, 22666, 11333, 34000, 17000, 8500, 4250, 2125, 6376, 3188, 1594, 797, 2392, 1196, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 42443,
      'J' = [127330, 63665, 190996, 95498, 47749, 143248, 71624, 35812, 17906, 8953, 26860, 13430, 6715, 20146, 10073, 30220, 15110, 7555, 22666, 11333, 34000, 17000, 8500, 4250, 2125, 6376, 3188, 1594, 797, 2392, 1196, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 127329,
      'N1' = 127330],
     [42443 > 1,
      1 is 42443 mod 2,
      127329 is 3 * 42443,
      127330 is 127329 + 1,
      collatz(127330, [127330, 63665, 190996, 95498, 47749, 143248, 71624, 35812, 17906, 8953, 26860, 13430, 6715, 20146, 10073, 30220, 15110, 7555, 22666, 11333, 34000, 17000, 8500, 4250, 2125, 6376, 3188, 1594, 797, 2392, 1196, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(42443 > 1, builtin, [], []).
step(1 is 42443 mod 2, builtin, [], []).
step(127329 is 3 * 42443, builtin, [], []).
step(127330 is 127329 + 1, builtin, [], []).
step(collatz(127330, [127330, 63665, 190996, 95498, 47749, 143248, 71624, 35812, 17906, 8953, 26860, 13430, 6715, 20146, 10073, 30220, 15110, 7555, 22666, 11333, 34000, 17000, 8500, 4250, 2125, 6376, 3188, 1594, 797, 2392, 1196, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 127330,
      'J' = [63665, 190996, 95498, 47749, 143248, 71624, 35812, 17906, 8953, 26860, 13430, 6715, 20146, 10073, 30220, 15110, 7555, 22666, 11333, 34000, 17000, 8500, 4250, 2125, 6376, 3188, 1594, 797, 2392, 1196, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 63665],
     [127330 > 1,
      0 is 127330 mod 2,
      63665 is 127330 // 2,
      collatz(63665, [63665, 190996, 95498, 47749, 143248, 71624, 35812, 17906, 8953, 26860, 13430, 6715, 20146, 10073, 30220, 15110, 7555, 22666, 11333, 34000, 17000, 8500, 4250, 2125, 6376, 3188, 1594, 797, 2392, 1196, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(127330 > 1, builtin, [], []).
step(0 is 127330 mod 2, builtin, [], []).
step(63665 is 127330 // 2, builtin, [], []).
step(collatz(63665, [63665, 190996, 95498, 47749, 143248, 71624, 35812, 17906, 8953, 26860, 13430, 6715, 20146, 10073, 30220, 15110, 7555, 22666, 11333, 34000, 17000, 8500, 4250, 2125, 6376, 3188, 1594, 797, 2392, 1196, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 63665,
      'J' = [190996, 95498, 47749, 143248, 71624, 35812, 17906, 8953, 26860, 13430, 6715, 20146, 10073, 30220, 15110, 7555, 22666, 11333, 34000, 17000, 8500, 4250, 2125, 6376, 3188, 1594, 797, 2392, 1196, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 190995,
      'N1' = 190996],
     [63665 > 1,
      1 is 63665 mod 2,
      190995 is 3 * 63665,
      190996 is 190995 + 1,
      collatz(190996, [190996, 95498, 47749, 143248, 71624, 35812, 17906, 8953, 26860, 13430, 6715, 20146, 10073, 30220, 15110, 7555, 22666, 11333, 34000, 17000, 8500, 4250, 2125, 6376, 3188, 1594, 797, 2392, 1196, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(63665 > 1, builtin, [], []).
step(1 is 63665 mod 2, builtin, [], []).
step(190995 is 3 * 63665, builtin, [], []).
step(190996 is 190995 + 1, builtin, [], []).
step(collatz(190996, [190996, 95498, 47749, 143248, 71624, 35812, 17906, 8953, 26860, 13430, 6715, 20146, 10073, 30220, 15110, 7555, 22666, 11333, 34000, 17000, 8500, 4250, 2125, 6376, 3188, 1594, 797, 2392, 1196, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 190996,
      'J' = [95498, 47749, 143248, 71624, 35812, 17906, 8953, 26860, 13430, 6715, 20146, 10073, 30220, 15110, 7555, 22666, 11333, 34000, 17000, 8500, 4250, 2125, 6376, 3188, 1594, 797, 2392, 1196, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 95498],
     [190996 > 1,
      0 is 190996 mod 2,
      95498 is 190996 // 2,
      collatz(95498, [95498, 47749, 143248, 71624, 35812, 17906, 8953, 26860, 13430, 6715, 20146, 10073, 30220, 15110, 7555, 22666, 11333, 34000, 17000, 8500, 4250, 2125, 6376, 3188, 1594, 797, 2392, 1196, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(190996 > 1, builtin, [], []).
step(0 is 190996 mod 2, builtin, [], []).
step(95498 is 190996 // 2, builtin, [], []).
step(collatz(95498, [95498, 47749, 143248, 71624, 35812, 17906, 8953, 26860, 13430, 6715, 20146, 10073, 30220, 15110, 7555, 22666, 11333, 34000, 17000, 8500, 4250, 2125, 6376, 3188, 1594, 797, 2392, 1196, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 95498,
      'J' = [47749, 143248, 71624, 35812, 17906, 8953, 26860, 13430, 6715, 20146, 10073, 30220, 15110, 7555, 22666, 11333, 34000, 17000, 8500, 4250, 2125, 6376, 3188, 1594, 797, 2392, 1196, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 47749],
     [95498 > 1,
      0 is 95498 mod 2,
      47749 is 95498 // 2,
      collatz(47749, [47749, 143248, 71624, 35812, 17906, 8953, 26860, 13430, 6715, 20146, 10073, 30220, 15110, 7555, 22666, 11333, 34000, 17000, 8500, 4250, 2125, 6376, 3188, 1594, 797, 2392, 1196, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(95498 > 1, builtin, [], []).
step(0 is 95498 mod 2, builtin, [], []).
step(47749 is 95498 // 2, builtin, [], []).
step(collatz(47749, [47749, 143248, 71624, 35812, 17906, 8953, 26860, 13430, 6715, 20146, 10073, 30220, 15110, 7555, 22666, 11333, 34000, 17000, 8500, 4250, 2125, 6376, 3188, 1594, 797, 2392, 1196, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 47749,
      'J' = [143248, 71624, 35812, 17906, 8953, 26860, 13430, 6715, 20146, 10073, 30220, 15110, 7555, 22666, 11333, 34000, 17000, 8500, 4250, 2125, 6376, 3188, 1594, 797, 2392, 1196, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 143247,
      'N1' = 143248],
     [47749 > 1,
      1 is 47749 mod 2,
      143247 is 3 * 47749,
      143248 is 143247 + 1,
      collatz(143248, [143248, 71624, 35812, 17906, 8953, 26860, 13430, 6715, 20146, 10073, 30220, 15110, 7555, 22666, 11333, 34000, 17000, 8500, 4250, 2125, 6376, 3188, 1594, 797, 2392, 1196, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(47749 > 1, builtin, [], []).
step(1 is 47749 mod 2, builtin, [], []).
step(143247 is 3 * 47749, builtin, [], []).
step(143248 is 143247 + 1, builtin, [], []).
step(collatz(143248, [143248, 71624, 35812, 17906, 8953, 26860, 13430, 6715, 20146, 10073, 30220, 15110, 7555, 22666, 11333, 34000, 17000, 8500, 4250, 2125, 6376, 3188, 1594, 797, 2392, 1196, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 143248,
      'J' = [71624, 35812, 17906, 8953, 26860, 13430, 6715, 20146, 10073, 30220, 15110, 7555, 22666, 11333, 34000, 17000, 8500, 4250, 2125, 6376, 3188, 1594, 797, 2392, 1196, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 71624],
     [143248 > 1,
      0 is 143248 mod 2,
      71624 is 143248 // 2,
      collatz(71624, [71624, 35812, 17906, 8953, 26860, 13430, 6715, 20146, 10073, 30220, 15110, 7555, 22666, 11333, 34000, 17000, 8500, 4250, 2125, 6376, 3188, 1594, 797, 2392, 1196, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(143248 > 1, builtin, [], []).
step(0 is 143248 mod 2, builtin, [], []).
step(71624 is 143248 // 2, builtin, [], []).
step(collatz(71624, [71624, 35812, 17906, 8953, 26860, 13430, 6715, 20146, 10073, 30220, 15110, 7555, 22666, 11333, 34000, 17000, 8500, 4250, 2125, 6376, 3188, 1594, 797, 2392, 1196, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 71624,
      'J' = [35812, 17906, 8953, 26860, 13430, 6715, 20146, 10073, 30220, 15110, 7555, 22666, 11333, 34000, 17000, 8500, 4250, 2125, 6376, 3188, 1594, 797, 2392, 1196, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 35812],
     [71624 > 1,
      0 is 71624 mod 2,
      35812 is 71624 // 2,
      collatz(35812, [35812, 17906, 8953, 26860, 13430, 6715, 20146, 10073, 30220, 15110, 7555, 22666, 11333, 34000, 17000, 8500, 4250, 2125, 6376, 3188, 1594, 797, 2392, 1196, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(71624 > 1, builtin, [], []).
step(0 is 71624 mod 2, builtin, [], []).
step(35812 is 71624 // 2, builtin, [], []).
step(collatz(35812, [35812, 17906, 8953, 26860, 13430, 6715, 20146, 10073, 30220, 15110, 7555, 22666, 11333, 34000, 17000, 8500, 4250, 2125, 6376, 3188, 1594, 797, 2392, 1196, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 35812,
      'J' = [17906, 8953, 26860, 13430, 6715, 20146, 10073, 30220, 15110, 7555, 22666, 11333, 34000, 17000, 8500, 4250, 2125, 6376, 3188, 1594, 797, 2392, 1196, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 17906],
     [35812 > 1,
      0 is 35812 mod 2,
      17906 is 35812 // 2,
      collatz(17906, [17906, 8953, 26860, 13430, 6715, 20146, 10073, 30220, 15110, 7555, 22666, 11333, 34000, 17000, 8500, 4250, 2125, 6376, 3188, 1594, 797, 2392, 1196, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(35812 > 1, builtin, [], []).
step(0 is 35812 mod 2, builtin, [], []).
step(17906 is 35812 // 2, builtin, [], []).
step(collatz(17906, [17906, 8953, 26860, 13430, 6715, 20146, 10073, 30220, 15110, 7555, 22666, 11333, 34000, 17000, 8500, 4250, 2125, 6376, 3188, 1594, 797, 2392, 1196, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 17906,
      'J' = [8953, 26860, 13430, 6715, 20146, 10073, 30220, 15110, 7555, 22666, 11333, 34000, 17000, 8500, 4250, 2125, 6376, 3188, 1594, 797, 2392, 1196, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 8953],
     [17906 > 1,
      0 is 17906 mod 2,
      8953 is 17906 // 2,
      collatz(8953, [8953, 26860, 13430, 6715, 20146, 10073, 30220, 15110, 7555, 22666, 11333, 34000, 17000, 8500, 4250, 2125, 6376, 3188, 1594, 797, 2392, 1196, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(17906 > 1, builtin, [], []).
step(0 is 17906 mod 2, builtin, [], []).
step(8953 is 17906 // 2, builtin, [], []).
step(collatz(8953, [8953, 26860, 13430, 6715, 20146, 10073, 30220, 15110, 7555, 22666, 11333, 34000, 17000, 8500, 4250, 2125, 6376, 3188, 1594, 797, 2392, 1196, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 8953,
      'J' = [26860, 13430, 6715, 20146, 10073, 30220, 15110, 7555, 22666, 11333, 34000, 17000, 8500, 4250, 2125, 6376, 3188, 1594, 797, 2392, 1196, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 26859,
      'N1' = 26860],
     [8953 > 1,
      1 is 8953 mod 2,
      26859 is 3 * 8953,
      26860 is 26859 + 1,
      collatz(26860, [26860, 13430, 6715, 20146, 10073, 30220, 15110, 7555, 22666, 11333, 34000, 17000, 8500, 4250, 2125, 6376, 3188, 1594, 797, 2392, 1196, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(8953 > 1, builtin, [], []).
step(1 is 8953 mod 2, builtin, [], []).
step(26859 is 3 * 8953, builtin, [], []).
step(26860 is 26859 + 1, builtin, [], []).
step(collatz(26860, [26860, 13430, 6715, 20146, 10073, 30220, 15110, 7555, 22666, 11333, 34000, 17000, 8500, 4250, 2125, 6376, 3188, 1594, 797, 2392, 1196, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 26860,
      'J' = [13430, 6715, 20146, 10073, 30220, 15110, 7555, 22666, 11333, 34000, 17000, 8500, 4250, 2125, 6376, 3188, 1594, 797, 2392, 1196, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 13430],
     [26860 > 1,
      0 is 26860 mod 2,
      13430 is 26860 // 2,
      collatz(13430, [13430, 6715, 20146, 10073, 30220, 15110, 7555, 22666, 11333, 34000, 17000, 8500, 4250, 2125, 6376, 3188, 1594, 797, 2392, 1196, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(26860 > 1, builtin, [], []).
step(0 is 26860 mod 2, builtin, [], []).
step(13430 is 26860 // 2, builtin, [], []).
step(collatz(13430, [13430, 6715, 20146, 10073, 30220, 15110, 7555, 22666, 11333, 34000, 17000, 8500, 4250, 2125, 6376, 3188, 1594, 797, 2392, 1196, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 13430,
      'J' = [6715, 20146, 10073, 30220, 15110, 7555, 22666, 11333, 34000, 17000, 8500, 4250, 2125, 6376, 3188, 1594, 797, 2392, 1196, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 6715],
     [13430 > 1,
      0 is 13430 mod 2,
      6715 is 13430 // 2,
      collatz(6715, [6715, 20146, 10073, 30220, 15110, 7555, 22666, 11333, 34000, 17000, 8500, 4250, 2125, 6376, 3188, 1594, 797, 2392, 1196, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(13430 > 1, builtin, [], []).
step(0 is 13430 mod 2, builtin, [], []).
step(6715 is 13430 // 2, builtin, [], []).
step(collatz(6715, [6715, 20146, 10073, 30220, 15110, 7555, 22666, 11333, 34000, 17000, 8500, 4250, 2125, 6376, 3188, 1594, 797, 2392, 1196, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 6715,
      'J' = [20146, 10073, 30220, 15110, 7555, 22666, 11333, 34000, 17000, 8500, 4250, 2125, 6376, 3188, 1594, 797, 2392, 1196, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 20145,
      'N1' = 20146],
     [6715 > 1,
      1 is 6715 mod 2,
      20145 is 3 * 6715,
      20146 is 20145 + 1,
      collatz(20146, [20146, 10073, 30220, 15110, 7555, 22666, 11333, 34000, 17000, 8500, 4250, 2125, 6376, 3188, 1594, 797, 2392, 1196, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(6715 > 1, builtin, [], []).
step(1 is 6715 mod 2, builtin, [], []).
step(20145 is 3 * 6715, builtin, [], []).
step(20146 is 20145 + 1, builtin, [], []).
step(collatz(20146, [20146, 10073, 30220, 15110, 7555, 22666, 11333, 34000, 17000, 8500, 4250, 2125, 6376, 3188, 1594, 797, 2392, 1196, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 20146,
      'J' = [10073, 30220, 15110, 7555, 22666, 11333, 34000, 17000, 8500, 4250, 2125, 6376, 3188, 1594, 797, 2392, 1196, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 10073],
     [20146 > 1,
      0 is 20146 mod 2,
      10073 is 20146 // 2,
      collatz(10073, [10073, 30220, 15110, 7555, 22666, 11333, 34000, 17000, 8500, 4250, 2125, 6376, 3188, 1594, 797, 2392, 1196, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(20146 > 1, builtin, [], []).
step(0 is 20146 mod 2, builtin, [], []).
step(10073 is 20146 // 2, builtin, [], []).
step(collatz(10073, [10073, 30220, 15110, 7555, 22666, 11333, 34000, 17000, 8500, 4250, 2125, 6376, 3188, 1594, 797, 2392, 1196, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 10073,
      'J' = [30220, 15110, 7555, 22666, 11333, 34000, 17000, 8500, 4250, 2125, 6376, 3188, 1594, 797, 2392, 1196, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 30219,
      'N1' = 30220],
     [10073 > 1,
      1 is 10073 mod 2,
      30219 is 3 * 10073,
      30220 is 30219 + 1,
      collatz(30220, [30220, 15110, 7555, 22666, 11333, 34000, 17000, 8500, 4250, 2125, 6376, 3188, 1594, 797, 2392, 1196, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(10073 > 1, builtin, [], []).
step(1 is 10073 mod 2, builtin, [], []).
step(30219 is 3 * 10073, builtin, [], []).
step(30220 is 30219 + 1, builtin, [], []).
step(collatz(30220, [30220, 15110, 7555, 22666, 11333, 34000, 17000, 8500, 4250, 2125, 6376, 3188, 1594, 797, 2392, 1196, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 30220,
      'J' = [15110, 7555, 22666, 11333, 34000, 17000, 8500, 4250, 2125, 6376, 3188, 1594, 797, 2392, 1196, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 15110],
     [30220 > 1,
      0 is 30220 mod 2,
      15110 is 30220 // 2,
      collatz(15110, [15110, 7555, 22666, 11333, 34000, 17000, 8500, 4250, 2125, 6376, 3188, 1594, 797, 2392, 1196, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(30220 > 1, builtin, [], []).
step(0 is 30220 mod 2, builtin, [], []).
step(15110 is 30220 // 2, builtin, [], []).
step(collatz(15110, [15110, 7555, 22666, 11333, 34000, 17000, 8500, 4250, 2125, 6376, 3188, 1594, 797, 2392, 1196, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 15110,
      'J' = [7555, 22666, 11333, 34000, 17000, 8500, 4250, 2125, 6376, 3188, 1594, 797, 2392, 1196, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 7555],
     [15110 > 1,
      0 is 15110 mod 2,
      7555 is 15110 // 2,
      collatz(7555, [7555, 22666, 11333, 34000, 17000, 8500, 4250, 2125, 6376, 3188, 1594, 797, 2392, 1196, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(15110 > 1, builtin, [], []).
step(0 is 15110 mod 2, builtin, [], []).
step(7555 is 15110 // 2, builtin, [], []).
step(collatz(7555, [7555, 22666, 11333, 34000, 17000, 8500, 4250, 2125, 6376, 3188, 1594, 797, 2392, 1196, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 7555,
      'J' = [22666, 11333, 34000, 17000, 8500, 4250, 2125, 6376, 3188, 1594, 797, 2392, 1196, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 22665,
      'N1' = 22666],
     [7555 > 1,
      1 is 7555 mod 2,
      22665 is 3 * 7555,
      22666 is 22665 + 1,
      collatz(22666, [22666, 11333, 34000, 17000, 8500, 4250, 2125, 6376, 3188, 1594, 797, 2392, 1196, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(7555 > 1, builtin, [], []).
step(1 is 7555 mod 2, builtin, [], []).
step(22665 is 3 * 7555, builtin, [], []).
step(22666 is 22665 + 1, builtin, [], []).
step(collatz(22666, [22666, 11333, 34000, 17000, 8500, 4250, 2125, 6376, 3188, 1594, 797, 2392, 1196, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 22666,
      'J' = [11333, 34000, 17000, 8500, 4250, 2125, 6376, 3188, 1594, 797, 2392, 1196, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 11333],
     [22666 > 1,
      0 is 22666 mod 2,
      11333 is 22666 // 2,
      collatz(11333, [11333, 34000, 17000, 8500, 4250, 2125, 6376, 3188, 1594, 797, 2392, 1196, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(22666 > 1, builtin, [], []).
step(0 is 22666 mod 2, builtin, [], []).
step(11333 is 22666 // 2, builtin, [], []).
step(collatz(11333, [11333, 34000, 17000, 8500, 4250, 2125, 6376, 3188, 1594, 797, 2392, 1196, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 11333,
      'J' = [34000, 17000, 8500, 4250, 2125, 6376, 3188, 1594, 797, 2392, 1196, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 33999,
      'N1' = 34000],
     [11333 > 1,
      1 is 11333 mod 2,
      33999 is 3 * 11333,
      34000 is 33999 + 1,
      collatz(34000, [34000, 17000, 8500, 4250, 2125, 6376, 3188, 1594, 797, 2392, 1196, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(11333 > 1, builtin, [], []).
step(1 is 11333 mod 2, builtin, [], []).
step(33999 is 3 * 11333, builtin, [], []).
step(34000 is 33999 + 1, builtin, [], []).
step(collatz(34000, [34000, 17000, 8500, 4250, 2125, 6376, 3188, 1594, 797, 2392, 1196, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 34000,
      'J' = [17000, 8500, 4250, 2125, 6376, 3188, 1594, 797, 2392, 1196, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 17000],
     [34000 > 1,
      0 is 34000 mod 2,
      17000 is 34000 // 2,
      collatz(17000, [17000, 8500, 4250, 2125, 6376, 3188, 1594, 797, 2392, 1196, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(34000 > 1, builtin, [], []).
step(0 is 34000 mod 2, builtin, [], []).
step(17000 is 34000 // 2, builtin, [], []).
step(collatz(17000, [17000, 8500, 4250, 2125, 6376, 3188, 1594, 797, 2392, 1196, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 17000,
      'J' = [8500, 4250, 2125, 6376, 3188, 1594, 797, 2392, 1196, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 8500],
     [17000 > 1,
      0 is 17000 mod 2,
      8500 is 17000 // 2,
      collatz(8500, [8500, 4250, 2125, 6376, 3188, 1594, 797, 2392, 1196, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(17000 > 1, builtin, [], []).
step(0 is 17000 mod 2, builtin, [], []).
step(8500 is 17000 // 2, builtin, [], []).
step(collatz(8500, [8500, 4250, 2125, 6376, 3188, 1594, 797, 2392, 1196, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 8500,
      'J' = [4250, 2125, 6376, 3188, 1594, 797, 2392, 1196, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 4250],
     [8500 > 1,
      0 is 8500 mod 2,
      4250 is 8500 // 2,
      collatz(4250, [4250, 2125, 6376, 3188, 1594, 797, 2392, 1196, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(8500 > 1, builtin, [], []).
step(0 is 8500 mod 2, builtin, [], []).
step(4250 is 8500 // 2, builtin, [], []).
step(collatz(4250, [4250, 2125, 6376, 3188, 1594, 797, 2392, 1196, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 4250,
      'J' = [2125, 6376, 3188, 1594, 797, 2392, 1196, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 2125],
     [4250 > 1,
      0 is 4250 mod 2,
      2125 is 4250 // 2,
      collatz(2125, [2125, 6376, 3188, 1594, 797, 2392, 1196, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(4250 > 1, builtin, [], []).
step(0 is 4250 mod 2, builtin, [], []).
step(2125 is 4250 // 2, builtin, [], []).
step(collatz(2125, [2125, 6376, 3188, 1594, 797, 2392, 1196, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 2125,
      'J' = [6376, 3188, 1594, 797, 2392, 1196, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 6375,
      'N1' = 6376],
     [2125 > 1,
      1 is 2125 mod 2,
      6375 is 3 * 2125,
      6376 is 6375 + 1,
      collatz(6376, [6376, 3188, 1594, 797, 2392, 1196, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2125 > 1, builtin, [], []).
step(1 is 2125 mod 2, builtin, [], []).
step(6375 is 3 * 2125, builtin, [], []).
step(6376 is 6375 + 1, builtin, [], []).
step(collatz(6376, [6376, 3188, 1594, 797, 2392, 1196, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 6376,
      'J' = [3188, 1594, 797, 2392, 1196, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 3188],
     [6376 > 1,
      0 is 6376 mod 2,
      3188 is 6376 // 2,
      collatz(3188, [3188, 1594, 797, 2392, 1196, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(6376 > 1, builtin, [], []).
step(0 is 6376 mod 2, builtin, [], []).
step(3188 is 6376 // 2, builtin, [], []).
step(collatz(3188, [3188, 1594, 797, 2392, 1196, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 3188,
      'J' = [1594, 797, 2392, 1196, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1594],
     [3188 > 1,
      0 is 3188 mod 2,
      1594 is 3188 // 2,
      collatz(1594, [1594, 797, 2392, 1196, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(3188 > 1, builtin, [], []).
step(0 is 3188 mod 2, builtin, [], []).
step(1594 is 3188 // 2, builtin, [], []).
step(collatz(1594, [1594, 797, 2392, 1196, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1594,
      'J' = [797, 2392, 1196, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 797],
     [1594 > 1,
      0 is 1594 mod 2,
      797 is 1594 // 2,
      collatz(797, [797, 2392, 1196, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1594 > 1, builtin, [], []).
step(0 is 1594 mod 2, builtin, [], []).
step(797 is 1594 // 2, builtin, [], []).
step(collatz(797, [797, 2392, 1196, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 797,
      'J' = [2392, 1196, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 2391,
      'N1' = 2392],
     [797 > 1,
      1 is 797 mod 2,
      2391 is 3 * 797,
      2392 is 2391 + 1,
      collatz(2392, [2392, 1196, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(797 > 1, builtin, [], []).
step(1 is 797 mod 2, builtin, [], []).
step(2391 is 3 * 797, builtin, [], []).
step(2392 is 2391 + 1, builtin, [], []).
step(collatz(2392, [2392, 1196, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 2392,
      'J' = [1196, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1196],
     [2392 > 1,
      0 is 2392 mod 2,
      1196 is 2392 // 2,
      collatz(1196, [1196, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2392 > 1, builtin, [], []).
step(0 is 2392 mod 2, builtin, [], []).
step(1196 is 2392 // 2, builtin, [], []).
step(collatz(1196, [1196, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1196,
      'J' = [598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 598],
     [1196 > 1,
      0 is 1196 mod 2,
      598 is 1196 // 2,
      collatz(598, [598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1196 > 1, builtin, [], []).
step(0 is 1196 mod 2, builtin, [], []).
step(598 is 1196 // 2, builtin, [], []).
step(collatzTrajectory(870, [870, 435, 1306, 653, 1960, 980, 490, 245, 736, 368, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 870,
      'M' = [870, 435, 1306, 653, 1960, 980, 490, 245, 736, 368, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 130],
     [repeat(1000, 130),
      870 is 1000 - 130,
      collatz(870, [870, 435, 1306, 653, 1960, 980, 490, 245, 736, 368, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 130),
     rule(3),
     ['N' = 1000, 'I' = 130, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 130)]).
step(between(0, 999, 130), builtin, [], []).
step(870 is 1000 - 130, builtin, [], []).
step(collatz(870, [870, 435, 1306, 653, 1960, 980, 490, 245, 736, 368, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 870,
      'J' = [435, 1306, 653, 1960, 980, 490, 245, 736, 368, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 435],
     [870 > 1,
      0 is 870 mod 2,
      435 is 870 // 2,
      collatz(435, [435, 1306, 653, 1960, 980, 490, 245, 736, 368, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(870 > 1, builtin, [], []).
step(0 is 870 mod 2, builtin, [], []).
step(435 is 870 // 2, builtin, [], []).
step(collatz(435, [435, 1306, 653, 1960, 980, 490, 245, 736, 368, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 435,
      'J' = [1306, 653, 1960, 980, 490, 245, 736, 368, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 1305,
      'N1' = 1306],
     [435 > 1,
      1 is 435 mod 2,
      1305 is 3 * 435,
      1306 is 1305 + 1,
      collatz(1306, [1306, 653, 1960, 980, 490, 245, 736, 368, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(435 > 1, builtin, [], []).
step(1 is 435 mod 2, builtin, [], []).
step(1305 is 3 * 435, builtin, [], []).
step(1306 is 1305 + 1, builtin, [], []).
step(collatz(1306, [1306, 653, 1960, 980, 490, 245, 736, 368, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1306,
      'J' = [653, 1960, 980, 490, 245, 736, 368, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 653],
     [1306 > 1,
      0 is 1306 mod 2,
      653 is 1306 // 2,
      collatz(653, [653, 1960, 980, 490, 245, 736, 368, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1306 > 1, builtin, [], []).
step(0 is 1306 mod 2, builtin, [], []).
step(653 is 1306 // 2, builtin, [], []).
step(collatz(653, [653, 1960, 980, 490, 245, 736, 368, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 653,
      'J' = [1960, 980, 490, 245, 736, 368, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 1959,
      'N1' = 1960],
     [653 > 1,
      1 is 653 mod 2,
      1959 is 3 * 653,
      1960 is 1959 + 1,
      collatz(1960, [1960, 980, 490, 245, 736, 368, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(653 > 1, builtin, [], []).
step(1 is 653 mod 2, builtin, [], []).
step(1959 is 3 * 653, builtin, [], []).
step(1960 is 1959 + 1, builtin, [], []).
step(collatz(1960, [1960, 980, 490, 245, 736, 368, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1960,
      'J' = [980, 490, 245, 736, 368, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 980],
     [1960 > 1,
      0 is 1960 mod 2,
      980 is 1960 // 2,
      collatz(980, [980, 490, 245, 736, 368, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1960 > 1, builtin, [], []).
step(0 is 1960 mod 2, builtin, [], []).
step(980 is 1960 // 2, builtin, [], []).
step(collatzTrajectory(869, [869, 2608, 1304, 652, 326, 163, 490, 245, 736, 368, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 869,
      'M' = [869, 2608, 1304, 652, 326, 163, 490, 245, 736, 368, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 131],
     [repeat(1000, 131),
      869 is 1000 - 131,
      collatz(869, [869, 2608, 1304, 652, 326, 163, 490, 245, 736, 368, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 131),
     rule(3),
     ['N' = 1000, 'I' = 131, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 131)]).
step(between(0, 999, 131), builtin, [], []).
step(869 is 1000 - 131, builtin, [], []).
step(collatz(869, [869, 2608, 1304, 652, 326, 163, 490, 245, 736, 368, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 869,
      'J' = [2608, 1304, 652, 326, 163, 490, 245, 736, 368, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 2607,
      'N1' = 2608],
     [869 > 1,
      1 is 869 mod 2,
      2607 is 3 * 869,
      2608 is 2607 + 1,
      collatz(2608, [2608, 1304, 652, 326, 163, 490, 245, 736, 368, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(869 > 1, builtin, [], []).
step(1 is 869 mod 2, builtin, [], []).
step(2607 is 3 * 869, builtin, [], []).
step(2608 is 2607 + 1, builtin, [], []).
step(collatz(2608, [2608, 1304, 652, 326, 163, 490, 245, 736, 368, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 2608,
      'J' = [1304, 652, 326, 163, 490, 245, 736, 368, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1304],
     [2608 > 1,
      0 is 2608 mod 2,
      1304 is 2608 // 2,
      collatz(1304, [1304, 652, 326, 163, 490, 245, 736, 368, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2608 > 1, builtin, [], []).
step(0 is 2608 mod 2, builtin, [], []).
step(1304 is 2608 // 2, builtin, [], []).
step(collatz(1304, [1304, 652, 326, 163, 490, 245, 736, 368, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1304,
      'J' = [652, 326, 163, 490, 245, 736, 368, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 652],
     [1304 > 1,
      0 is 1304 mod 2,
      652 is 1304 // 2,
      collatz(652, [652, 326, 163, 490, 245, 736, 368, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1304 > 1, builtin, [], []).
step(0 is 1304 mod 2, builtin, [], []).
step(652 is 1304 // 2, builtin, [], []).
step(collatz(652, [652, 326, 163, 490, 245, 736, 368, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 652,
      'J' = [326, 163, 490, 245, 736, 368, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 326],
     [652 > 1,
      0 is 652 mod 2,
      326 is 652 // 2,
      collatz(326, [326, 163, 490, 245, 736, 368, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(652 > 1, builtin, [], []).
step(0 is 652 mod 2, builtin, [], []).
step(326 is 652 // 2, builtin, [], []).
step(collatz(326, [326, 163, 490, 245, 736, 368, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 326,
      'J' = [163, 490, 245, 736, 368, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 163],
     [326 > 1,
      0 is 326 mod 2,
      163 is 326 // 2,
      collatz(163, [163, 490, 245, 736, 368, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(326 > 1, builtin, [], []).
step(0 is 326 mod 2, builtin, [], []).
step(163 is 326 // 2, builtin, [], []).
step(collatz(163, [163, 490, 245, 736, 368, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 163,
      'J' = [490, 245, 736, 368, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 489,
      'N1' = 490],
     [163 > 1,
      1 is 163 mod 2,
      489 is 3 * 163,
      490 is 489 + 1,
      collatz(490, [490, 245, 736, 368, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(163 > 1, builtin, [], []).
step(1 is 163 mod 2, builtin, [], []).
step(489 is 3 * 163, builtin, [], []).
step(490 is 489 + 1, builtin, [], []).
step(collatzTrajectory(868, [868, 434, 217, 652, 326, 163, 490, 245, 736, 368, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 868,
      'M' = [868, 434, 217, 652, 326, 163, 490, 245, 736, 368, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 132],
     [repeat(1000, 132),
      868 is 1000 - 132,
      collatz(868, [868, 434, 217, 652, 326, 163, 490, 245, 736, 368, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 132),
     rule(3),
     ['N' = 1000, 'I' = 132, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 132)]).
step(between(0, 999, 132), builtin, [], []).
step(868 is 1000 - 132, builtin, [], []).
step(collatz(868, [868, 434, 217, 652, 326, 163, 490, 245, 736, 368, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 868,
      'J' = [434, 217, 652, 326, 163, 490, 245, 736, 368, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 434],
     [868 > 1,
      0 is 868 mod 2,
      434 is 868 // 2,
      collatz(434, [434, 217, 652, 326, 163, 490, 245, 736, 368, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(868 > 1, builtin, [], []).
step(0 is 868 mod 2, builtin, [], []).
step(434 is 868 // 2, builtin, [], []).
step(collatz(434, [434, 217, 652, 326, 163, 490, 245, 736, 368, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 434,
      'J' = [217, 652, 326, 163, 490, 245, 736, 368, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 217],
     [434 > 1,
      0 is 434 mod 2,
      217 is 434 // 2,
      collatz(217, [217, 652, 326, 163, 490, 245, 736, 368, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(434 > 1, builtin, [], []).
step(0 is 434 mod 2, builtin, [], []).
step(217 is 434 // 2, builtin, [], []).
step(collatz(217, [217, 652, 326, 163, 490, 245, 736, 368, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 217,
      'J' = [652, 326, 163, 490, 245, 736, 368, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 651,
      'N1' = 652],
     [217 > 1,
      1 is 217 mod 2,
      651 is 3 * 217,
      652 is 651 + 1,
      collatz(652, [652, 326, 163, 490, 245, 736, 368, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(217 > 1, builtin, [], []).
step(1 is 217 mod 2, builtin, [], []).
step(651 is 3 * 217, builtin, [], []).
step(652 is 651 + 1, builtin, [], []).
step(collatzTrajectory(867, [867, 2602, 1301, 3904, 1952, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 867,
      'M' = [867, 2602, 1301, 3904, 1952, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 133],
     [repeat(1000, 133),
      867 is 1000 - 133,
      collatz(867, [867, 2602, 1301, 3904, 1952, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 133),
     rule(3),
     ['N' = 1000, 'I' = 133, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 133)]).
step(between(0, 999, 133), builtin, [], []).
step(867 is 1000 - 133, builtin, [], []).
step(collatz(867, [867, 2602, 1301, 3904, 1952, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 867,
      'J' = [2602, 1301, 3904, 1952, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 2601,
      'N1' = 2602],
     [867 > 1,
      1 is 867 mod 2,
      2601 is 3 * 867,
      2602 is 2601 + 1,
      collatz(2602, [2602, 1301, 3904, 1952, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(867 > 1, builtin, [], []).
step(1 is 867 mod 2, builtin, [], []).
step(2601 is 3 * 867, builtin, [], []).
step(2602 is 2601 + 1, builtin, [], []).
step(collatz(2602, [2602, 1301, 3904, 1952, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 2602,
      'J' = [1301, 3904, 1952, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1301],
     [2602 > 1,
      0 is 2602 mod 2,
      1301 is 2602 // 2,
      collatz(1301, [1301, 3904, 1952, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2602 > 1, builtin, [], []).
step(0 is 2602 mod 2, builtin, [], []).
step(1301 is 2602 // 2, builtin, [], []).
step(collatz(1301, [1301, 3904, 1952, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 1301,
      'J' = [3904, 1952, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 3903,
      'N1' = 3904],
     [1301 > 1,
      1 is 1301 mod 2,
      3903 is 3 * 1301,
      3904 is 3903 + 1,
      collatz(3904, [3904, 1952, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1301 > 1, builtin, [], []).
step(1 is 1301 mod 2, builtin, [], []).
step(3903 is 3 * 1301, builtin, [], []).
step(3904 is 3903 + 1, builtin, [], []).
step(collatz(3904, [3904, 1952, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 3904,
      'J' = [1952, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1952],
     [3904 > 1,
      0 is 3904 mod 2,
      1952 is 3904 // 2,
      collatz(1952, [1952, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(3904 > 1, builtin, [], []).
step(0 is 3904 mod 2, builtin, [], []).
step(1952 is 3904 // 2, builtin, [], []).
step(collatz(1952, [1952, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1952,
      'J' = [976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 976],
     [1952 > 1,
      0 is 1952 mod 2,
      976 is 1952 // 2,
      collatz(976, [976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1952 > 1, builtin, [], []).
step(0 is 1952 mod 2, builtin, [], []).
step(976 is 1952 // 2, builtin, [], []).
step(collatzTrajectory(866, [866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 866,
      'M' = [866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 134],
     [repeat(1000, 134),
      866 is 1000 - 134,
      collatz(866, [866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 134),
     rule(3),
     ['N' = 1000, 'I' = 134, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 134)]).
step(between(0, 999, 134), builtin, [], []).
step(866 is 1000 - 134, builtin, [], []).
step(collatzTrajectory(865, [865, 2596, 1298, 649, 1948, 974, 487, 1462, 731, 2194, 1097, 3292, 1646, 823, 2470, 1235, 3706, 1853, 5560, 2780, 1390, 695, 2086, 1043, 3130, 1565, 4696, 2348, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 865,
      'M' = [865, 2596, 1298, 649, 1948, 974, 487, 1462, 731, 2194, 1097, 3292, 1646, 823, 2470, 1235, 3706, 1853, 5560, 2780, 1390, 695, 2086, 1043, 3130, 1565, 4696, 2348, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 135],
     [repeat(1000, 135),
      865 is 1000 - 135,
      collatz(865, [865, 2596, 1298, 649, 1948, 974, 487, 1462, 731, 2194, 1097, 3292, 1646, 823, 2470, 1235, 3706, 1853, 5560, 2780, 1390, 695, 2086, 1043, 3130, 1565, 4696, 2348, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 135),
     rule(3),
     ['N' = 1000, 'I' = 135, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 135)]).
step(between(0, 999, 135), builtin, [], []).
step(865 is 1000 - 135, builtin, [], []).
step(collatz(865, [865, 2596, 1298, 649, 1948, 974, 487, 1462, 731, 2194, 1097, 3292, 1646, 823, 2470, 1235, 3706, 1853, 5560, 2780, 1390, 695, 2086, 1043, 3130, 1565, 4696, 2348, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 865,
      'J' = [2596, 1298, 649, 1948, 974, 487, 1462, 731, 2194, 1097, 3292, 1646, 823, 2470, 1235, 3706, 1853, 5560, 2780, 1390, 695, 2086, 1043, 3130, 1565, 4696, 2348, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 2595,
      'N1' = 2596],
     [865 > 1,
      1 is 865 mod 2,
      2595 is 3 * 865,
      2596 is 2595 + 1,
      collatz(2596, [2596, 1298, 649, 1948, 974, 487, 1462, 731, 2194, 1097, 3292, 1646, 823, 2470, 1235, 3706, 1853, 5560, 2780, 1390, 695, 2086, 1043, 3130, 1565, 4696, 2348, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(865 > 1, builtin, [], []).
step(1 is 865 mod 2, builtin, [], []).
step(2595 is 3 * 865, builtin, [], []).
step(2596 is 2595 + 1, builtin, [], []).
step(collatz(2596, [2596, 1298, 649, 1948, 974, 487, 1462, 731, 2194, 1097, 3292, 1646, 823, 2470, 1235, 3706, 1853, 5560, 2780, 1390, 695, 2086, 1043, 3130, 1565, 4696, 2348, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 2596,
      'J' = [1298, 649, 1948, 974, 487, 1462, 731, 2194, 1097, 3292, 1646, 823, 2470, 1235, 3706, 1853, 5560, 2780, 1390, 695, 2086, 1043, 3130, 1565, 4696, 2348, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1298],
     [2596 > 1,
      0 is 2596 mod 2,
      1298 is 2596 // 2,
      collatz(1298, [1298, 649, 1948, 974, 487, 1462, 731, 2194, 1097, 3292, 1646, 823, 2470, 1235, 3706, 1853, 5560, 2780, 1390, 695, 2086, 1043, 3130, 1565, 4696, 2348, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2596 > 1, builtin, [], []).
step(0 is 2596 mod 2, builtin, [], []).
step(1298 is 2596 // 2, builtin, [], []).
step(collatz(1298, [1298, 649, 1948, 974, 487, 1462, 731, 2194, 1097, 3292, 1646, 823, 2470, 1235, 3706, 1853, 5560, 2780, 1390, 695, 2086, 1043, 3130, 1565, 4696, 2348, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1298,
      'J' = [649, 1948, 974, 487, 1462, 731, 2194, 1097, 3292, 1646, 823, 2470, 1235, 3706, 1853, 5560, 2780, 1390, 695, 2086, 1043, 3130, 1565, 4696, 2348, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 649],
     [1298 > 1,
      0 is 1298 mod 2,
      649 is 1298 // 2,
      collatz(649, [649, 1948, 974, 487, 1462, 731, 2194, 1097, 3292, 1646, 823, 2470, 1235, 3706, 1853, 5560, 2780, 1390, 695, 2086, 1043, 3130, 1565, 4696, 2348, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1298 > 1, builtin, [], []).
step(0 is 1298 mod 2, builtin, [], []).
step(649 is 1298 // 2, builtin, [], []).
step(collatz(649, [649, 1948, 974, 487, 1462, 731, 2194, 1097, 3292, 1646, 823, 2470, 1235, 3706, 1853, 5560, 2780, 1390, 695, 2086, 1043, 3130, 1565, 4696, 2348, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 649,
      'J' = [1948, 974, 487, 1462, 731, 2194, 1097, 3292, 1646, 823, 2470, 1235, 3706, 1853, 5560, 2780, 1390, 695, 2086, 1043, 3130, 1565, 4696, 2348, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 1947,
      'N1' = 1948],
     [649 > 1,
      1 is 649 mod 2,
      1947 is 3 * 649,
      1948 is 1947 + 1,
      collatz(1948, [1948, 974, 487, 1462, 731, 2194, 1097, 3292, 1646, 823, 2470, 1235, 3706, 1853, 5560, 2780, 1390, 695, 2086, 1043, 3130, 1565, 4696, 2348, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(649 > 1, builtin, [], []).
step(1 is 649 mod 2, builtin, [], []).
step(1947 is 3 * 649, builtin, [], []).
step(1948 is 1947 + 1, builtin, [], []).
step(collatz(1948, [1948, 974, 487, 1462, 731, 2194, 1097, 3292, 1646, 823, 2470, 1235, 3706, 1853, 5560, 2780, 1390, 695, 2086, 1043, 3130, 1565, 4696, 2348, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1948,
      'J' = [974, 487, 1462, 731, 2194, 1097, 3292, 1646, 823, 2470, 1235, 3706, 1853, 5560, 2780, 1390, 695, 2086, 1043, 3130, 1565, 4696, 2348, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 974],
     [1948 > 1,
      0 is 1948 mod 2,
      974 is 1948 // 2,
      collatz(974, [974, 487, 1462, 731, 2194, 1097, 3292, 1646, 823, 2470, 1235, 3706, 1853, 5560, 2780, 1390, 695, 2086, 1043, 3130, 1565, 4696, 2348, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1948 > 1, builtin, [], []).
step(0 is 1948 mod 2, builtin, [], []).
step(974 is 1948 // 2, builtin, [], []).
step(collatzTrajectory(864, [864, 432, 216, 108, 54, 27, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 864,
      'M' = [864, 432, 216, 108, 54, 27, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 136],
     [repeat(1000, 136),
      864 is 1000 - 136,
      collatz(864, [864, 432, 216, 108, 54, 27, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 136),
     rule(3),
     ['N' = 1000, 'I' = 136, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 136)]).
step(between(0, 999, 136), builtin, [], []).
step(864 is 1000 - 136, builtin, [], []).
step(collatz(864, [864, 432, 216, 108, 54, 27, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 864,
      'J' = [432, 216, 108, 54, 27, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 432],
     [864 > 1,
      0 is 864 mod 2,
      432 is 864 // 2,
      collatz(432, [432, 216, 108, 54, 27, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(864 > 1, builtin, [], []).
step(0 is 864 mod 2, builtin, [], []).
step(432 is 864 // 2, builtin, [], []).
step(collatz(432, [432, 216, 108, 54, 27, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 432,
      'J' = [216, 108, 54, 27, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 216],
     [432 > 1,
      0 is 432 mod 2,
      216 is 432 // 2,
      collatz(216, [216, 108, 54, 27, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(432 > 1, builtin, [], []).
step(0 is 432 mod 2, builtin, [], []).
step(216 is 432 // 2, builtin, [], []).
step(collatz(216, [216, 108, 54, 27, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 216,
      'J' = [108, 54, 27, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 108],
     [216 > 1,
      0 is 216 mod 2,
      108 is 216 // 2,
      collatz(108, [108, 54, 27, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(216 > 1, builtin, [], []).
step(0 is 216 mod 2, builtin, [], []).
step(108 is 216 // 2, builtin, [], []).
step(collatz(108, [108, 54, 27, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 108,
      'J' = [54, 27, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 54],
     [108 > 1,
      0 is 108 mod 2,
      54 is 108 // 2,
      collatz(54, [54, 27, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(108 > 1, builtin, [], []).
step(0 is 108 mod 2, builtin, [], []).
step(54 is 108 // 2, builtin, [], []).
step(collatz(54, [54, 27, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 54,
      'J' = [27, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 27],
     [54 > 1,
      0 is 54 mod 2,
      27 is 54 // 2,
      collatz(27, [27, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(54 > 1, builtin, [], []).
step(0 is 54 mod 2, builtin, [], []).
step(27 is 54 // 2, builtin, [], []).
step(collatz(27, [27, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 27,
      'J' = [82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 81,
      'N1' = 82],
     [27 > 1,
      1 is 27 mod 2,
      81 is 3 * 27,
      82 is 81 + 1,
      collatz(82, [82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(27 > 1, builtin, [], []).
step(1 is 27 mod 2, builtin, [], []).
step(81 is 3 * 27, builtin, [], []).
step(82 is 81 + 1, builtin, [], []).
step(collatzTrajectory(863, [863, 2590, 1295, 3886, 1943, 5830, 2915, 8746, 4373, 13120, 6560, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 863,
      'M' = [863, 2590, 1295, 3886, 1943, 5830, 2915, 8746, 4373, 13120, 6560, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 137],
     [repeat(1000, 137),
      863 is 1000 - 137,
      collatz(863, [863, 2590, 1295, 3886, 1943, 5830, 2915, 8746, 4373, 13120, 6560, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 137),
     rule(3),
     ['N' = 1000, 'I' = 137, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 137)]).
step(between(0, 999, 137), builtin, [], []).
step(863 is 1000 - 137, builtin, [], []).
step(collatzTrajectory(862, [862, 431, 1294, 647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 862,
      'M' = [862, 431, 1294, 647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 138],
     [repeat(1000, 138),
      862 is 1000 - 138,
      collatz(862, [862, 431, 1294, 647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 138),
     rule(3),
     ['N' = 1000, 'I' = 138, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 138)]).
step(between(0, 999, 138), builtin, [], []).
step(862 is 1000 - 138, builtin, [], []).
step(collatzTrajectory(861, [861, 2584, 1292, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 861,
      'M' = [861, 2584, 1292, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 139],
     [repeat(1000, 139),
      861 is 1000 - 139,
      collatz(861, [861, 2584, 1292, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 139),
     rule(3),
     ['N' = 1000, 'I' = 139, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 139)]).
step(between(0, 999, 139), builtin, [], []).
step(861 is 1000 - 139, builtin, [], []).
step(collatz(861, [861, 2584, 1292, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 861,
      'J' = [2584, 1292, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 2583,
      'N1' = 2584],
     [861 > 1,
      1 is 861 mod 2,
      2583 is 3 * 861,
      2584 is 2583 + 1,
      collatz(2584, [2584, 1292, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(861 > 1, builtin, [], []).
step(1 is 861 mod 2, builtin, [], []).
step(2583 is 3 * 861, builtin, [], []).
step(2584 is 2583 + 1, builtin, [], []).
step(collatz(2584, [2584, 1292, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 2584,
      'J' = [1292, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1292],
     [2584 > 1,
      0 is 2584 mod 2,
      1292 is 2584 // 2,
      collatz(1292, [1292, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2584 > 1, builtin, [], []).
step(0 is 2584 mod 2, builtin, [], []).
step(1292 is 2584 // 2, builtin, [], []).
step(collatz(1292, [1292, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1292,
      'J' = [646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 646],
     [1292 > 1,
      0 is 1292 mod 2,
      646 is 1292 // 2,
      collatz(646, [646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1292 > 1, builtin, [], []).
step(0 is 1292 mod 2, builtin, [], []).
step(646 is 1292 // 2, builtin, [], []).
step(collatzTrajectory(860, [860, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 860,
      'M' = [860, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 140],
     [repeat(1000, 140),
      860 is 1000 - 140,
      collatz(860, [860, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 140),
     rule(3),
     ['N' = 1000, 'I' = 140, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 140)]).
step(between(0, 999, 140), builtin, [], []).
step(860 is 1000 - 140, builtin, [], []).
step(collatz(860, [860, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 860,
      'J' = [430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 430],
     [860 > 1,
      0 is 860 mod 2,
      430 is 860 // 2,
      collatz(430, [430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(860 > 1, builtin, [], []).
step(0 is 860 mod 2, builtin, [], []).
step(430 is 860 // 2, builtin, [], []).
step(collatzTrajectory(859, [859, 2578, 1289, 3868, 1934, 967, 2902, 1451, 4354, 2177, 6532, 3266, 1633, 4900, 2450, 1225, 3676, 1838, 919, 2758, 1379, 4138, 2069, 6208, 3104, 1552, 776, 388, 194, 97, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 859,
      'M' = [859, 2578, 1289, 3868, 1934, 967, 2902, 1451, 4354, 2177, 6532, 3266, 1633, 4900, 2450, 1225, 3676, 1838, 919, 2758, 1379, 4138, 2069, 6208, 3104, 1552, 776, 388, 194, 97, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 141],
     [repeat(1000, 141),
      859 is 1000 - 141,
      collatz(859, [859, 2578, 1289, 3868, 1934, 967, 2902, 1451, 4354, 2177, 6532, 3266, 1633, 4900, 2450, 1225, 3676, 1838, 919, 2758, 1379, 4138, 2069, 6208, 3104, 1552, 776, 388, 194, 97, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 141),
     rule(3),
     ['N' = 1000, 'I' = 141, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 141)]).
step(between(0, 999, 141), builtin, [], []).
step(859 is 1000 - 141, builtin, [], []).
step(collatz(859, [859, 2578, 1289, 3868, 1934, 967, 2902, 1451, 4354, 2177, 6532, 3266, 1633, 4900, 2450, 1225, 3676, 1838, 919, 2758, 1379, 4138, 2069, 6208, 3104, 1552, 776, 388, 194, 97, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 859,
      'J' = [2578, 1289, 3868, 1934, 967, 2902, 1451, 4354, 2177, 6532, 3266, 1633, 4900, 2450, 1225, 3676, 1838, 919, 2758, 1379, 4138, 2069, 6208, 3104, 1552, 776, 388, 194, 97, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 2577,
      'N1' = 2578],
     [859 > 1,
      1 is 859 mod 2,
      2577 is 3 * 859,
      2578 is 2577 + 1,
      collatz(2578, [2578, 1289, 3868, 1934, 967, 2902, 1451, 4354, 2177, 6532, 3266, 1633, 4900, 2450, 1225, 3676, 1838, 919, 2758, 1379, 4138, 2069, 6208, 3104, 1552, 776, 388, 194, 97, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(859 > 1, builtin, [], []).
step(1 is 859 mod 2, builtin, [], []).
step(2577 is 3 * 859, builtin, [], []).
step(2578 is 2577 + 1, builtin, [], []).
step(collatz(2578, [2578, 1289, 3868, 1934, 967, 2902, 1451, 4354, 2177, 6532, 3266, 1633, 4900, 2450, 1225, 3676, 1838, 919, 2758, 1379, 4138, 2069, 6208, 3104, 1552, 776, 388, 194, 97, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 2578,
      'J' = [1289, 3868, 1934, 967, 2902, 1451, 4354, 2177, 6532, 3266, 1633, 4900, 2450, 1225, 3676, 1838, 919, 2758, 1379, 4138, 2069, 6208, 3104, 1552, 776, 388, 194, 97, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1289],
     [2578 > 1,
      0 is 2578 mod 2,
      1289 is 2578 // 2,
      collatz(1289, [1289, 3868, 1934, 967, 2902, 1451, 4354, 2177, 6532, 3266, 1633, 4900, 2450, 1225, 3676, 1838, 919, 2758, 1379, 4138, 2069, 6208, 3104, 1552, 776, 388, 194, 97, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2578 > 1, builtin, [], []).
step(0 is 2578 mod 2, builtin, [], []).
step(1289 is 2578 // 2, builtin, [], []).
step(collatz(1289, [1289, 3868, 1934, 967, 2902, 1451, 4354, 2177, 6532, 3266, 1633, 4900, 2450, 1225, 3676, 1838, 919, 2758, 1379, 4138, 2069, 6208, 3104, 1552, 776, 388, 194, 97, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 1289,
      'J' = [3868, 1934, 967, 2902, 1451, 4354, 2177, 6532, 3266, 1633, 4900, 2450, 1225, 3676, 1838, 919, 2758, 1379, 4138, 2069, 6208, 3104, 1552, 776, 388, 194, 97, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 3867,
      'N1' = 3868],
     [1289 > 1,
      1 is 1289 mod 2,
      3867 is 3 * 1289,
      3868 is 3867 + 1,
      collatz(3868, [3868, 1934, 967, 2902, 1451, 4354, 2177, 6532, 3266, 1633, 4900, 2450, 1225, 3676, 1838, 919, 2758, 1379, 4138, 2069, 6208, 3104, 1552, 776, 388, 194, 97, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1289 > 1, builtin, [], []).
step(1 is 1289 mod 2, builtin, [], []).
step(3867 is 3 * 1289, builtin, [], []).
step(3868 is 3867 + 1, builtin, [], []).
step(collatz(3868, [3868, 1934, 967, 2902, 1451, 4354, 2177, 6532, 3266, 1633, 4900, 2450, 1225, 3676, 1838, 919, 2758, 1379, 4138, 2069, 6208, 3104, 1552, 776, 388, 194, 97, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 3868,
      'J' = [1934, 967, 2902, 1451, 4354, 2177, 6532, 3266, 1633, 4900, 2450, 1225, 3676, 1838, 919, 2758, 1379, 4138, 2069, 6208, 3104, 1552, 776, 388, 194, 97, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1934],
     [3868 > 1,
      0 is 3868 mod 2,
      1934 is 3868 // 2,
      collatz(1934, [1934, 967, 2902, 1451, 4354, 2177, 6532, 3266, 1633, 4900, 2450, 1225, 3676, 1838, 919, 2758, 1379, 4138, 2069, 6208, 3104, 1552, 776, 388, 194, 97, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(3868 > 1, builtin, [], []).
step(0 is 3868 mod 2, builtin, [], []).
step(1934 is 3868 // 2, builtin, [], []).
step(collatz(1934, [1934, 967, 2902, 1451, 4354, 2177, 6532, 3266, 1633, 4900, 2450, 1225, 3676, 1838, 919, 2758, 1379, 4138, 2069, 6208, 3104, 1552, 776, 388, 194, 97, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1934,
      'J' = [967, 2902, 1451, 4354, 2177, 6532, 3266, 1633, 4900, 2450, 1225, 3676, 1838, 919, 2758, 1379, 4138, 2069, 6208, 3104, 1552, 776, 388, 194, 97, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 967],
     [1934 > 1,
      0 is 1934 mod 2,
      967 is 1934 // 2,
      collatz(967, [967, 2902, 1451, 4354, 2177, 6532, 3266, 1633, 4900, 2450, 1225, 3676, 1838, 919, 2758, 1379, 4138, 2069, 6208, 3104, 1552, 776, 388, 194, 97, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1934 > 1, builtin, [], []).
step(0 is 1934 mod 2, builtin, [], []).
step(967 is 1934 // 2, builtin, [], []).
step(collatzTrajectory(858, [858, 429, 1288, 644, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 858,
      'M' = [858, 429, 1288, 644, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 142],
     [repeat(1000, 142),
      858 is 1000 - 142,
      collatz(858, [858, 429, 1288, 644, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 142),
     rule(3),
     ['N' = 1000, 'I' = 142, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 142)]).
step(between(0, 999, 142), builtin, [], []).
step(858 is 1000 - 142, builtin, [], []).
step(collatz(858, [858, 429, 1288, 644, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 858,
      'J' = [429, 1288, 644, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 429],
     [858 > 1,
      0 is 858 mod 2,
      429 is 858 // 2,
      collatz(429, [429, 1288, 644, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(858 > 1, builtin, [], []).
step(0 is 858 mod 2, builtin, [], []).
step(429 is 858 // 2, builtin, [], []).
step(collatz(429, [429, 1288, 644, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 429,
      'J' = [1288, 644, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 1287,
      'N1' = 1288],
     [429 > 1,
      1 is 429 mod 2,
      1287 is 3 * 429,
      1288 is 1287 + 1,
      collatz(1288, [1288, 644, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(429 > 1, builtin, [], []).
step(1 is 429 mod 2, builtin, [], []).
step(1287 is 3 * 429, builtin, [], []).
step(1288 is 1287 + 1, builtin, [], []).
step(collatz(1288, [1288, 644, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1288,
      'J' = [644, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 644],
     [1288 > 1,
      0 is 1288 mod 2,
      644 is 1288 // 2,
      collatz(644, [644, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1288 > 1, builtin, [], []).
step(0 is 1288 mod 2, builtin, [], []).
step(644 is 1288 // 2, builtin, [], []).
step(collatz(644, [644, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 644,
      'J' = [322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 322],
     [644 > 1,
      0 is 644 mod 2,
      322 is 644 // 2,
      collatz(322, [322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(644 > 1, builtin, [], []).
step(0 is 644 mod 2, builtin, [], []).
step(322 is 644 // 2, builtin, [], []).
step(collatzTrajectory(857, [857, 2572, 1286, 643, 1930, 965, 2896, 1448, 724, 362, 181, 544, 272, 136, 68, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 857,
      'M' = [857, 2572, 1286, 643, 1930, 965, 2896, 1448, 724, 362, 181, 544, 272, 136, 68, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 143],
     [repeat(1000, 143),
      857 is 1000 - 143,
      collatz(857, [857, 2572, 1286, 643, 1930, 965, 2896, 1448, 724, 362, 181, 544, 272, 136, 68, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 143),
     rule(3),
     ['N' = 1000, 'I' = 143, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 143)]).
step(between(0, 999, 143), builtin, [], []).
step(857 is 1000 - 143, builtin, [], []).
step(collatz(857, [857, 2572, 1286, 643, 1930, 965, 2896, 1448, 724, 362, 181, 544, 272, 136, 68, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 857,
      'J' = [2572, 1286, 643, 1930, 965, 2896, 1448, 724, 362, 181, 544, 272, 136, 68, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 2571,
      'N1' = 2572],
     [857 > 1,
      1 is 857 mod 2,
      2571 is 3 * 857,
      2572 is 2571 + 1,
      collatz(2572, [2572, 1286, 643, 1930, 965, 2896, 1448, 724, 362, 181, 544, 272, 136, 68, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(857 > 1, builtin, [], []).
step(1 is 857 mod 2, builtin, [], []).
step(2571 is 3 * 857, builtin, [], []).
step(2572 is 2571 + 1, builtin, [], []).
step(collatz(2572, [2572, 1286, 643, 1930, 965, 2896, 1448, 724, 362, 181, 544, 272, 136, 68, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 2572,
      'J' = [1286, 643, 1930, 965, 2896, 1448, 724, 362, 181, 544, 272, 136, 68, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1286],
     [2572 > 1,
      0 is 2572 mod 2,
      1286 is 2572 // 2,
      collatz(1286, [1286, 643, 1930, 965, 2896, 1448, 724, 362, 181, 544, 272, 136, 68, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2572 > 1, builtin, [], []).
step(0 is 2572 mod 2, builtin, [], []).
step(1286 is 2572 // 2, builtin, [], []).
step(collatz(1286, [1286, 643, 1930, 965, 2896, 1448, 724, 362, 181, 544, 272, 136, 68, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1286,
      'J' = [643, 1930, 965, 2896, 1448, 724, 362, 181, 544, 272, 136, 68, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 643],
     [1286 > 1,
      0 is 1286 mod 2,
      643 is 1286 // 2,
      collatz(643, [643, 1930, 965, 2896, 1448, 724, 362, 181, 544, 272, 136, 68, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1286 > 1, builtin, [], []).
step(0 is 1286 mod 2, builtin, [], []).
step(643 is 1286 // 2, builtin, [], []).
step(collatz(643, [643, 1930, 965, 2896, 1448, 724, 362, 181, 544, 272, 136, 68, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 643,
      'J' = [1930, 965, 2896, 1448, 724, 362, 181, 544, 272, 136, 68, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 1929,
      'N1' = 1930],
     [643 > 1,
      1 is 643 mod 2,
      1929 is 3 * 643,
      1930 is 1929 + 1,
      collatz(1930, [1930, 965, 2896, 1448, 724, 362, 181, 544, 272, 136, 68, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(643 > 1, builtin, [], []).
step(1 is 643 mod 2, builtin, [], []).
step(1929 is 3 * 643, builtin, [], []).
step(1930 is 1929 + 1, builtin, [], []).
step(collatz(1930, [1930, 965, 2896, 1448, 724, 362, 181, 544, 272, 136, 68, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1930,
      'J' = [965, 2896, 1448, 724, 362, 181, 544, 272, 136, 68, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 965],
     [1930 > 1,
      0 is 1930 mod 2,
      965 is 1930 // 2,
      collatz(965, [965, 2896, 1448, 724, 362, 181, 544, 272, 136, 68, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1930 > 1, builtin, [], []).
step(0 is 1930 mod 2, builtin, [], []).
step(965 is 1930 // 2, builtin, [], []).
step(collatzTrajectory(856, [856, 428, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 856,
      'M' = [856, 428, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 144],
     [repeat(1000, 144),
      856 is 1000 - 144,
      collatz(856, [856, 428, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 144),
     rule(3),
     ['N' = 1000, 'I' = 144, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 144)]).
step(between(0, 999, 144), builtin, [], []).
step(856 is 1000 - 144, builtin, [], []).
step(collatz(856, [856, 428, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 856,
      'J' = [428, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 428],
     [856 > 1,
      0 is 856 mod 2,
      428 is 856 // 2,
      collatz(428, [428, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(856 > 1, builtin, [], []).
step(0 is 856 mod 2, builtin, [], []).
step(428 is 856 // 2, builtin, [], []).
step(collatz(428, [428, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 428,
      'J' = [214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 214],
     [428 > 1,
      0 is 428 mod 2,
      214 is 428 // 2,
      collatz(214, [214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(428 > 1, builtin, [], []).
step(0 is 428 mod 2, builtin, [], []).
step(214 is 428 // 2, builtin, [], []).
step(collatzTrajectory(855, [855, 2566, 1283, 3850, 1925, 5776, 2888, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 855,
      'M' = [855, 2566, 1283, 3850, 1925, 5776, 2888, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 145],
     [repeat(1000, 145),
      855 is 1000 - 145,
      collatz(855, [855, 2566, 1283, 3850, 1925, 5776, 2888, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 145),
     rule(3),
     ['N' = 1000, 'I' = 145, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 145)]).
step(between(0, 999, 145), builtin, [], []).
step(855 is 1000 - 145, builtin, [], []).
step(collatz(855, [855, 2566, 1283, 3850, 1925, 5776, 2888, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 855,
      'J' = [2566, 1283, 3850, 1925, 5776, 2888, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 2565,
      'N1' = 2566],
     [855 > 1,
      1 is 855 mod 2,
      2565 is 3 * 855,
      2566 is 2565 + 1,
      collatz(2566, [2566, 1283, 3850, 1925, 5776, 2888, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(855 > 1, builtin, [], []).
step(1 is 855 mod 2, builtin, [], []).
step(2565 is 3 * 855, builtin, [], []).
step(2566 is 2565 + 1, builtin, [], []).
step(collatz(2566, [2566, 1283, 3850, 1925, 5776, 2888, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 2566,
      'J' = [1283, 3850, 1925, 5776, 2888, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1283],
     [2566 > 1,
      0 is 2566 mod 2,
      1283 is 2566 // 2,
      collatz(1283, [1283, 3850, 1925, 5776, 2888, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2566 > 1, builtin, [], []).
step(0 is 2566 mod 2, builtin, [], []).
step(1283 is 2566 // 2, builtin, [], []).
step(collatz(1283, [1283, 3850, 1925, 5776, 2888, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 1283,
      'J' = [3850, 1925, 5776, 2888, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 3849,
      'N1' = 3850],
     [1283 > 1,
      1 is 1283 mod 2,
      3849 is 3 * 1283,
      3850 is 3849 + 1,
      collatz(3850, [3850, 1925, 5776, 2888, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1283 > 1, builtin, [], []).
step(1 is 1283 mod 2, builtin, [], []).
step(3849 is 3 * 1283, builtin, [], []).
step(3850 is 3849 + 1, builtin, [], []).
step(collatz(3850, [3850, 1925, 5776, 2888, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 3850,
      'J' = [1925, 5776, 2888, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1925],
     [3850 > 1,
      0 is 3850 mod 2,
      1925 is 3850 // 2,
      collatz(1925, [1925, 5776, 2888, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(3850 > 1, builtin, [], []).
step(0 is 3850 mod 2, builtin, [], []).
step(1925 is 3850 // 2, builtin, [], []).
step(collatz(1925, [1925, 5776, 2888, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 1925,
      'J' = [5776, 2888, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 5775,
      'N1' = 5776],
     [1925 > 1,
      1 is 1925 mod 2,
      5775 is 3 * 1925,
      5776 is 5775 + 1,
      collatz(5776, [5776, 2888, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1925 > 1, builtin, [], []).
step(1 is 1925 mod 2, builtin, [], []).
step(5775 is 3 * 1925, builtin, [], []).
step(5776 is 5775 + 1, builtin, [], []).
step(collatz(5776, [5776, 2888, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 5776,
      'J' = [2888, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 2888],
     [5776 > 1,
      0 is 5776 mod 2,
      2888 is 5776 // 2,
      collatz(2888, [2888, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(5776 > 1, builtin, [], []).
step(0 is 5776 mod 2, builtin, [], []).
step(2888 is 5776 // 2, builtin, [], []).
step(collatz(2888, [2888, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 2888,
      'J' = [1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1444],
     [2888 > 1,
      0 is 2888 mod 2,
      1444 is 2888 // 2,
      collatz(1444, [1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2888 > 1, builtin, [], []).
step(0 is 2888 mod 2, builtin, [], []).
step(1444 is 2888 // 2, builtin, [], []).
step(collatzTrajectory(854, [854, 427, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 854,
      'M' = [854, 427, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 146],
     [repeat(1000, 146),
      854 is 1000 - 146,
      collatz(854, [854, 427, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 146),
     rule(3),
     ['N' = 1000, 'I' = 146, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 146)]).
step(between(0, 999, 146), builtin, [], []).
step(854 is 1000 - 146, builtin, [], []).
step(collatzTrajectory(853, [853, 2560, 1280, 640, 320, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 853,
      'M' = [853, 2560, 1280, 640, 320, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 147],
     [repeat(1000, 147),
      853 is 1000 - 147,
      collatz(853, [853, 2560, 1280, 640, 320, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 147),
     rule(3),
     ['N' = 1000, 'I' = 147, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 147)]).
step(between(0, 999, 147), builtin, [], []).
step(853 is 1000 - 147, builtin, [], []).
step(collatz(853, [853, 2560, 1280, 640, 320, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 853,
      'J' = [2560, 1280, 640, 320, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 2559,
      'N1' = 2560],
     [853 > 1,
      1 is 853 mod 2,
      2559 is 3 * 853,
      2560 is 2559 + 1,
      collatz(2560, [2560, 1280, 640, 320, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(853 > 1, builtin, [], []).
step(1 is 853 mod 2, builtin, [], []).
step(2559 is 3 * 853, builtin, [], []).
step(2560 is 2559 + 1, builtin, [], []).
step(collatz(2560, [2560, 1280, 640, 320, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 2560, 'J' = [1280, 640, 320, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1], 'N1' = 1280],
     [2560 > 1,
      0 is 2560 mod 2,
      1280 is 2560 // 2,
      collatz(1280, [1280, 640, 320, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2560 > 1, builtin, [], []).
step(0 is 2560 mod 2, builtin, [], []).
step(1280 is 2560 // 2, builtin, [], []).
step(collatz(1280, [1280, 640, 320, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1280, 'J' = [640, 320, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1], 'N1' = 640],
     [1280 > 1,
      0 is 1280 mod 2,
      640 is 1280 // 2,
      collatz(640, [640, 320, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1280 > 1, builtin, [], []).
step(0 is 1280 mod 2, builtin, [], []).
step(640 is 1280 // 2, builtin, [], []).
step(collatz(640, [640, 320, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 640, 'J' = [320, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1], 'N1' = 320],
     [640 > 1,
      0 is 640 mod 2,
      320 is 640 // 2,
      collatz(320, [320, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(640 > 1, builtin, [], []).
step(0 is 640 mod 2, builtin, [], []).
step(320 is 640 // 2, builtin, [], []).
step(collatz(320, [320, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 320, 'J' = [160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1], 'N1' = 160],
     [320 > 1,
      0 is 320 mod 2,
      160 is 320 // 2,
      collatz(160, [160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(320 > 1, builtin, [], []).
step(0 is 320 mod 2, builtin, [], []).
step(160 is 320 // 2, builtin, [], []).
step(collatzTrajectory(852, [852, 426, 213, 640, 320, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 852,
      'M' = [852, 426, 213, 640, 320, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 148],
     [repeat(1000, 148),
      852 is 1000 - 148,
      collatz(852, [852, 426, 213, 640, 320, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 148),
     rule(3),
     ['N' = 1000, 'I' = 148, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 148)]).
step(between(0, 999, 148), builtin, [], []).
step(852 is 1000 - 148, builtin, [], []).
step(collatz(852, [852, 426, 213, 640, 320, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 852, 'J' = [426, 213, 640, 320, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1], 'N1' = 426],
     [852 > 1,
      0 is 852 mod 2,
      426 is 852 // 2,
      collatz(426, [426, 213, 640, 320, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(852 > 1, builtin, [], []).
step(0 is 852 mod 2, builtin, [], []).
step(426 is 852 // 2, builtin, [], []).
step(collatz(426, [426, 213, 640, 320, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 426, 'J' = [213, 640, 320, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1], 'N1' = 213],
     [426 > 1,
      0 is 426 mod 2,
      213 is 426 // 2,
      collatz(213, [213, 640, 320, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(426 > 1, builtin, [], []).
step(0 is 426 mod 2, builtin, [], []).
step(213 is 426 // 2, builtin, [], []).
step(collatz(213, [213, 640, 320, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 213,
      'J' = [640, 320, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 639,
      'N1' = 640],
     [213 > 1,
      1 is 213 mod 2,
      639 is 3 * 213,
      640 is 639 + 1,
      collatz(640, [640, 320, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(213 > 1, builtin, [], []).
step(1 is 213 mod 2, builtin, [], []).
step(639 is 3 * 213, builtin, [], []).
step(640 is 639 + 1, builtin, [], []).
step(collatzTrajectory(851, [851, 2554, 1277, 3832, 1916, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 851,
      'M' = [851, 2554, 1277, 3832, 1916, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 149],
     [repeat(1000, 149),
      851 is 1000 - 149,
      collatz(851, [851, 2554, 1277, 3832, 1916, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 149),
     rule(3),
     ['N' = 1000, 'I' = 149, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 149)]).
step(between(0, 999, 149), builtin, [], []).
step(851 is 1000 - 149, builtin, [], []).
step(collatz(851, [851, 2554, 1277, 3832, 1916, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 851,
      'J' = [2554, 1277, 3832, 1916, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 2553,
      'N1' = 2554],
     [851 > 1,
      1 is 851 mod 2,
      2553 is 3 * 851,
      2554 is 2553 + 1,
      collatz(2554, [2554, 1277, 3832, 1916, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(851 > 1, builtin, [], []).
step(1 is 851 mod 2, builtin, [], []).
step(2553 is 3 * 851, builtin, [], []).
step(2554 is 2553 + 1, builtin, [], []).
step(collatz(2554, [2554, 1277, 3832, 1916, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 2554,
      'J' = [1277, 3832, 1916, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1277],
     [2554 > 1,
      0 is 2554 mod 2,
      1277 is 2554 // 2,
      collatz(1277, [1277, 3832, 1916, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2554 > 1, builtin, [], []).
step(0 is 2554 mod 2, builtin, [], []).
step(1277 is 2554 // 2, builtin, [], []).
step(collatz(1277, [1277, 3832, 1916, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 1277,
      'J' = [3832, 1916, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 3831,
      'N1' = 3832],
     [1277 > 1,
      1 is 1277 mod 2,
      3831 is 3 * 1277,
      3832 is 3831 + 1,
      collatz(3832, [3832, 1916, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1277 > 1, builtin, [], []).
step(1 is 1277 mod 2, builtin, [], []).
step(3831 is 3 * 1277, builtin, [], []).
step(3832 is 3831 + 1, builtin, [], []).
step(collatz(3832, [3832, 1916, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 3832,
      'J' = [1916, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1916],
     [3832 > 1,
      0 is 3832 mod 2,
      1916 is 3832 // 2,
      collatz(1916, [1916, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(3832 > 1, builtin, [], []).
step(0 is 3832 mod 2, builtin, [], []).
step(1916 is 3832 // 2, builtin, [], []).
step(collatz(1916, [1916, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1916,
      'J' = [958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 958],
     [1916 > 1,
      0 is 1916 mod 2,
      958 is 1916 // 2,
      collatz(958, [958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1916 > 1, builtin, [], []).
step(0 is 1916 mod 2, builtin, [], []).
step(958 is 1916 // 2, builtin, [], []).
step(collatzTrajectory(850, [850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 850,
      'M' = [850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 150],
     [repeat(1000, 150),
      850 is 1000 - 150,
      collatz(850, [850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 150),
     rule(3),
     ['N' = 1000, 'I' = 150, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 150)]).
step(between(0, 999, 150), builtin, [], []).
step(850 is 1000 - 150, builtin, [], []).
step(collatzTrajectory(849, [849, 2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 849,
      'M' = [849, 2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 151],
     [repeat(1000, 151),
      849 is 1000 - 151,
      collatz(849, [849, 2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 151),
     rule(3),
     ['N' = 1000, 'I' = 151, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 151)]).
step(between(0, 999, 151), builtin, [], []).
step(849 is 1000 - 151, builtin, [], []).
step(collatz(849, [849, 2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 849,
      'J' = [2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 2547,
      'N1' = 2548],
     [849 > 1,
      1 is 849 mod 2,
      2547 is 3 * 849,
      2548 is 2547 + 1,
      collatz(2548, [2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(849 > 1, builtin, [], []).
step(1 is 849 mod 2, builtin, [], []).
step(2547 is 3 * 849, builtin, [], []).
step(2548 is 2547 + 1, builtin, [], []).
step(collatzTrajectory(848, [848, 424, 212, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 848,
      'M' = [848, 424, 212, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 152],
     [repeat(1000, 152),
      848 is 1000 - 152,
      collatz(848, [848, 424, 212, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 152),
     rule(3),
     ['N' = 1000, 'I' = 152, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 152)]).
step(between(0, 999, 152), builtin, [], []).
step(848 is 1000 - 152, builtin, [], []).
step(collatz(848, [848, 424, 212, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 848, 'J' = [424, 212, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1], 'N1' = 424],
     [848 > 1,
      0 is 848 mod 2,
      424 is 848 // 2,
      collatz(424, [424, 212, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(848 > 1, builtin, [], []).
step(0 is 848 mod 2, builtin, [], []).
step(424 is 848 // 2, builtin, [], []).
step(collatz(424, [424, 212, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 424, 'J' = [212, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1], 'N1' = 212],
     [424 > 1,
      0 is 424 mod 2,
      212 is 424 // 2,
      collatz(212, [212, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(424 > 1, builtin, [], []).
step(0 is 424 mod 2, builtin, [], []).
step(212 is 424 // 2, builtin, [], []).
step(collatz(212, [212, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 212, 'J' = [106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1], 'N1' = 106],
     [212 > 1,
      0 is 212 mod 2,
      106 is 212 // 2,
      collatz(106, [106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(212 > 1, builtin, [], []).
step(0 is 212 mod 2, builtin, [], []).
step(106 is 212 // 2, builtin, [], []).
step(collatzTrajectory(847, [847, 2542, 1271, 3814, 1907, 5722, 2861, 8584, 4292, 2146, 1073, 3220, 1610, 805, 2416, 1208, 604, 302, 151, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 847,
      'M' = [847, 2542, 1271, 3814, 1907, 5722, 2861, 8584, 4292, 2146, 1073, 3220, 1610, 805, 2416, 1208, 604, 302, 151, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1],
      'N0' = 153],
     [repeat(1000, 153),
      847 is 1000 - 153,
      collatz(847, [847, 2542, 1271, 3814, 1907, 5722, 2861, 8584, 4292, 2146, 1073, 3220, 1610, 805, 2416, 1208, 604, 302, 151, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1])]).
step(repeat(1000, 153),
     rule(3),
     ['N' = 1000, 'I' = 153, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 153)]).
step(between(0, 999, 153), builtin, [], []).
step(847 is 1000 - 153, builtin, [], []).
step(collatzTrajectory(846, [846, 423, 1270, 635, 1906, 953, 2860, 1430, 715, 2146, 1073, 3220, 1610, 805, 2416, 1208, 604, 302, 151, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 846,
      'M' = [846, 423, 1270, 635, 1906, 953, 2860, 1430, 715, 2146, 1073, 3220, 1610, 805, 2416, 1208, 604, 302, 151, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1],
      'N0' = 154],
     [repeat(1000, 154),
      846 is 1000 - 154,
      collatz(846, [846, 423, 1270, 635, 1906, 953, 2860, 1430, 715, 2146, 1073, 3220, 1610, 805, 2416, 1208, 604, 302, 151, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1])]).
step(repeat(1000, 154),
     rule(3),
     ['N' = 1000, 'I' = 154, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 154)]).
step(between(0, 999, 154), builtin, [], []).
step(846 is 1000 - 154, builtin, [], []).
step(collatz(846, [846, 423, 1270, 635, 1906, 953, 2860, 1430, 715, 2146, 1073, 3220, 1610, 805, 2416, 1208, 604, 302, 151, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 846,
      'J' = [423, 1270, 635, 1906, 953, 2860, 1430, 715, 2146, 1073, 3220, 1610, 805, 2416, 1208, 604, 302, 151, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1],
      'N1' = 423],
     [846 > 1,
      0 is 846 mod 2,
      423 is 846 // 2,
      collatz(423, [423, 1270, 635, 1906, 953, 2860, 1430, 715, 2146, 1073, 3220, 1610, 805, 2416, 1208, 604, 302, 151, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1])]).
step(846 > 1, builtin, [], []).
step(0 is 846 mod 2, builtin, [], []).
step(423 is 846 // 2, builtin, [], []).
step(collatz(423, [423, 1270, 635, 1906, 953, 2860, 1430, 715, 2146, 1073, 3220, 1610, 805, 2416, 1208, 604, 302, 151, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 423,
      'J' = [1270, 635, 1906, 953, 2860, 1430, 715, 2146, 1073, 3220, 1610, 805, 2416, 1208, 604, 302, 151, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1],
      'T' = 1269,
      'N1' = 1270],
     [423 > 1,
      1 is 423 mod 2,
      1269 is 3 * 423,
      1270 is 1269 + 1,
      collatz(1270, [1270, 635, 1906, 953, 2860, 1430, 715, 2146, 1073, 3220, 1610, 805, 2416, 1208, 604, 302, 151, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1])]).
step(423 > 1, builtin, [], []).
step(1 is 423 mod 2, builtin, [], []).
step(1269 is 3 * 423, builtin, [], []).
step(1270 is 1269 + 1, builtin, [], []).
step(collatz(1270, [1270, 635, 1906, 953, 2860, 1430, 715, 2146, 1073, 3220, 1610, 805, 2416, 1208, 604, 302, 151, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1270,
      'J' = [635, 1906, 953, 2860, 1430, 715, 2146, 1073, 3220, 1610, 805, 2416, 1208, 604, 302, 151, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1],
      'N1' = 635],
     [1270 > 1,
      0 is 1270 mod 2,
      635 is 1270 // 2,
      collatz(635, [635, 1906, 953, 2860, 1430, 715, 2146, 1073, 3220, 1610, 805, 2416, 1208, 604, 302, 151, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1])]).
step(1270 > 1, builtin, [], []).
step(0 is 1270 mod 2, builtin, [], []).
step(635 is 1270 // 2, builtin, [], []).
step(collatz(635, [635, 1906, 953, 2860, 1430, 715, 2146, 1073, 3220, 1610, 805, 2416, 1208, 604, 302, 151, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 635,
      'J' = [1906, 953, 2860, 1430, 715, 2146, 1073, 3220, 1610, 805, 2416, 1208, 604, 302, 151, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1],
      'T' = 1905,
      'N1' = 1906],
     [635 > 1,
      1 is 635 mod 2,
      1905 is 3 * 635,
      1906 is 1905 + 1,
      collatz(1906, [1906, 953, 2860, 1430, 715, 2146, 1073, 3220, 1610, 805, 2416, 1208, 604, 302, 151, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1])]).
step(635 > 1, builtin, [], []).
step(1 is 635 mod 2, builtin, [], []).
step(1905 is 3 * 635, builtin, [], []).
step(1906 is 1905 + 1, builtin, [], []).
step(collatz(1906, [1906, 953, 2860, 1430, 715, 2146, 1073, 3220, 1610, 805, 2416, 1208, 604, 302, 151, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1906,
      'J' = [953, 2860, 1430, 715, 2146, 1073, 3220, 1610, 805, 2416, 1208, 604, 302, 151, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1],
      'N1' = 953],
     [1906 > 1,
      0 is 1906 mod 2,
      953 is 1906 // 2,
      collatz(953, [953, 2860, 1430, 715, 2146, 1073, 3220, 1610, 805, 2416, 1208, 604, 302, 151, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1])]).
step(1906 > 1, builtin, [], []).
step(0 is 1906 mod 2, builtin, [], []).
step(953 is 1906 // 2, builtin, [], []).
step(collatzTrajectory(845, [845, 2536, 1268, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 845,
      'M' = [845, 2536, 1268, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 155],
     [repeat(1000, 155),
      845 is 1000 - 155,
      collatz(845, [845, 2536, 1268, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 155),
     rule(3),
     ['N' = 1000, 'I' = 155, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 155)]).
step(between(0, 999, 155), builtin, [], []).
step(845 is 1000 - 155, builtin, [], []).
step(collatz(845, [845, 2536, 1268, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 845,
      'J' = [2536, 1268, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 2535,
      'N1' = 2536],
     [845 > 1,
      1 is 845 mod 2,
      2535 is 3 * 845,
      2536 is 2535 + 1,
      collatz(2536, [2536, 1268, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(845 > 1, builtin, [], []).
step(1 is 845 mod 2, builtin, [], []).
step(2535 is 3 * 845, builtin, [], []).
step(2536 is 2535 + 1, builtin, [], []).
step(collatz(2536, [2536, 1268, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 2536,
      'J' = [1268, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1268],
     [2536 > 1,
      0 is 2536 mod 2,
      1268 is 2536 // 2,
      collatz(1268, [1268, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2536 > 1, builtin, [], []).
step(0 is 2536 mod 2, builtin, [], []).
step(1268 is 2536 // 2, builtin, [], []).
step(collatz(1268, [1268, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1268,
      'J' = [634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 634],
     [1268 > 1,
      0 is 1268 mod 2,
      634 is 1268 // 2,
      collatz(634, [634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1268 > 1, builtin, [], []).
step(0 is 1268 mod 2, builtin, [], []).
step(634 is 1268 // 2, builtin, [], []).
step(collatzTrajectory(844, [844, 422, 211, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 844,
      'M' = [844, 422, 211, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 156],
     [repeat(1000, 156),
      844 is 1000 - 156,
      collatz(844, [844, 422, 211, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 156),
     rule(3),
     ['N' = 1000, 'I' = 156, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 156)]).
step(between(0, 999, 156), builtin, [], []).
step(844 is 1000 - 156, builtin, [], []).
step(collatzTrajectory(843, [843, 2530, 1265, 3796, 1898, 949, 2848, 1424, 712, 356, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 843,
      'M' = [843, 2530, 1265, 3796, 1898, 949, 2848, 1424, 712, 356, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 157],
     [repeat(1000, 157),
      843 is 1000 - 157,
      collatz(843, [843, 2530, 1265, 3796, 1898, 949, 2848, 1424, 712, 356, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 157),
     rule(3),
     ['N' = 1000, 'I' = 157, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 157)]).
step(between(0, 999, 157), builtin, [], []).
step(843 is 1000 - 157, builtin, [], []).
step(collatz(843, [843, 2530, 1265, 3796, 1898, 949, 2848, 1424, 712, 356, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 843,
      'J' = [2530, 1265, 3796, 1898, 949, 2848, 1424, 712, 356, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 2529,
      'N1' = 2530],
     [843 > 1,
      1 is 843 mod 2,
      2529 is 3 * 843,
      2530 is 2529 + 1,
      collatz(2530, [2530, 1265, 3796, 1898, 949, 2848, 1424, 712, 356, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(843 > 1, builtin, [], []).
step(1 is 843 mod 2, builtin, [], []).
step(2529 is 3 * 843, builtin, [], []).
step(2530 is 2529 + 1, builtin, [], []).
step(collatz(2530, [2530, 1265, 3796, 1898, 949, 2848, 1424, 712, 356, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 2530,
      'J' = [1265, 3796, 1898, 949, 2848, 1424, 712, 356, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1265],
     [2530 > 1,
      0 is 2530 mod 2,
      1265 is 2530 // 2,
      collatz(1265, [1265, 3796, 1898, 949, 2848, 1424, 712, 356, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2530 > 1, builtin, [], []).
step(0 is 2530 mod 2, builtin, [], []).
step(1265 is 2530 // 2, builtin, [], []).
step(collatz(1265, [1265, 3796, 1898, 949, 2848, 1424, 712, 356, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 1265,
      'J' = [3796, 1898, 949, 2848, 1424, 712, 356, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 3795,
      'N1' = 3796],
     [1265 > 1,
      1 is 1265 mod 2,
      3795 is 3 * 1265,
      3796 is 3795 + 1,
      collatz(3796, [3796, 1898, 949, 2848, 1424, 712, 356, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1265 > 1, builtin, [], []).
step(1 is 1265 mod 2, builtin, [], []).
step(3795 is 3 * 1265, builtin, [], []).
step(3796 is 3795 + 1, builtin, [], []).
step(collatz(3796, [3796, 1898, 949, 2848, 1424, 712, 356, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 3796,
      'J' = [1898, 949, 2848, 1424, 712, 356, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1898],
     [3796 > 1,
      0 is 3796 mod 2,
      1898 is 3796 // 2,
      collatz(1898, [1898, 949, 2848, 1424, 712, 356, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(3796 > 1, builtin, [], []).
step(0 is 3796 mod 2, builtin, [], []).
step(1898 is 3796 // 2, builtin, [], []).
step(collatz(1898, [1898, 949, 2848, 1424, 712, 356, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1898,
      'J' = [949, 2848, 1424, 712, 356, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 949],
     [1898 > 1,
      0 is 1898 mod 2,
      949 is 1898 // 2,
      collatz(949, [949, 2848, 1424, 712, 356, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1898 > 1, builtin, [], []).
step(0 is 1898 mod 2, builtin, [], []).
step(949 is 1898 // 2, builtin, [], []).
step(collatzTrajectory(842, [842, 421, 1264, 632, 316, 158, 79, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 842,
      'M' = [842, 421, 1264, 632, 316, 158, 79, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 158],
     [repeat(1000, 158),
      842 is 1000 - 158,
      collatz(842, [842, 421, 1264, 632, 316, 158, 79, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 158),
     rule(3),
     ['N' = 1000, 'I' = 158, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 158)]).
step(between(0, 999, 158), builtin, [], []).
step(842 is 1000 - 158, builtin, [], []).
step(collatz(842, [842, 421, 1264, 632, 316, 158, 79, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 842,
      'J' = [421, 1264, 632, 316, 158, 79, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 421],
     [842 > 1,
      0 is 842 mod 2,
      421 is 842 // 2,
      collatz(421, [421, 1264, 632, 316, 158, 79, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(842 > 1, builtin, [], []).
step(0 is 842 mod 2, builtin, [], []).
step(421 is 842 // 2, builtin, [], []).
step(collatz(421, [421, 1264, 632, 316, 158, 79, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 421,
      'J' = [1264, 632, 316, 158, 79, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 1263,
      'N1' = 1264],
     [421 > 1,
      1 is 421 mod 2,
      1263 is 3 * 421,
      1264 is 1263 + 1,
      collatz(1264, [1264, 632, 316, 158, 79, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(421 > 1, builtin, [], []).
step(1 is 421 mod 2, builtin, [], []).
step(1263 is 3 * 421, builtin, [], []).
step(1264 is 1263 + 1, builtin, [], []).
step(collatz(1264, [1264, 632, 316, 158, 79, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1264,
      'J' = [632, 316, 158, 79, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 632],
     [1264 > 1,
      0 is 1264 mod 2,
      632 is 1264 // 2,
      collatz(632, [632, 316, 158, 79, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1264 > 1, builtin, [], []).
step(0 is 1264 mod 2, builtin, [], []).
step(632 is 1264 // 2, builtin, [], []).
step(collatz(632, [632, 316, 158, 79, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 632,
      'J' = [316, 158, 79, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 316],
     [632 > 1,
      0 is 632 mod 2,
      316 is 632 // 2,
      collatz(316, [316, 158, 79, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(632 > 1, builtin, [], []).
step(0 is 632 mod 2, builtin, [], []).
step(316 is 632 // 2, builtin, [], []).
step(collatz(316, [316, 158, 79, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 316,
      'J' = [158, 79, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 158],
     [316 > 1,
      0 is 316 mod 2,
      158 is 316 // 2,
      collatz(158, [158, 79, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(316 > 1, builtin, [], []).
step(0 is 316 mod 2, builtin, [], []).
step(158 is 316 // 2, builtin, [], []).
step(collatz(158, [158, 79, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 158,
      'J' = [79, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 79],
     [158 > 1,
      0 is 158 mod 2,
      79 is 158 // 2,
      collatz(79, [79, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(158 > 1, builtin, [], []).
step(0 is 158 mod 2, builtin, [], []).
step(79 is 158 // 2, builtin, [], []).
step(collatz(79, [79, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 79,
      'J' = [238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 237,
      'N1' = 238],
     [79 > 1,
      1 is 79 mod 2,
      237 is 3 * 79,
      238 is 237 + 1,
      collatz(238, [238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(79 > 1, builtin, [], []).
step(1 is 79 mod 2, builtin, [], []).
step(237 is 3 * 79, builtin, [], []).
step(238 is 237 + 1, builtin, [], []).
step(collatzTrajectory(841, [841, 2524, 1262, 631, 1894, 947, 2842, 1421, 4264, 2132, 1066, 533, 1600, 800, 400, 200, 100, 50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 841,
      'M' = [841, 2524, 1262, 631, 1894, 947, 2842, 1421, 4264, 2132, 1066, 533, 1600, 800, 400, 200, 100, 50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 159],
     [repeat(1000, 159),
      841 is 1000 - 159,
      collatz(841, [841, 2524, 1262, 631, 1894, 947, 2842, 1421, 4264, 2132, 1066, 533, 1600, 800, 400, 200, 100, 50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 159),
     rule(3),
     ['N' = 1000, 'I' = 159, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 159)]).
step(between(0, 999, 159), builtin, [], []).
step(841 is 1000 - 159, builtin, [], []).
step(collatz(841, [841, 2524, 1262, 631, 1894, 947, 2842, 1421, 4264, 2132, 1066, 533, 1600, 800, 400, 200, 100, 50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 841,
      'J' = [2524, 1262, 631, 1894, 947, 2842, 1421, 4264, 2132, 1066, 533, 1600, 800, 400, 200, 100, 50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 2523,
      'N1' = 2524],
     [841 > 1,
      1 is 841 mod 2,
      2523 is 3 * 841,
      2524 is 2523 + 1,
      collatz(2524, [2524, 1262, 631, 1894, 947, 2842, 1421, 4264, 2132, 1066, 533, 1600, 800, 400, 200, 100, 50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(841 > 1, builtin, [], []).
step(1 is 841 mod 2, builtin, [], []).
step(2523 is 3 * 841, builtin, [], []).
step(2524 is 2523 + 1, builtin, [], []).
step(collatz(2524, [2524, 1262, 631, 1894, 947, 2842, 1421, 4264, 2132, 1066, 533, 1600, 800, 400, 200, 100, 50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 2524,
      'J' = [1262, 631, 1894, 947, 2842, 1421, 4264, 2132, 1066, 533, 1600, 800, 400, 200, 100, 50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1262],
     [2524 > 1,
      0 is 2524 mod 2,
      1262 is 2524 // 2,
      collatz(1262, [1262, 631, 1894, 947, 2842, 1421, 4264, 2132, 1066, 533, 1600, 800, 400, 200, 100, 50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2524 > 1, builtin, [], []).
step(0 is 2524 mod 2, builtin, [], []).
step(1262 is 2524 // 2, builtin, [], []).
step(collatz(1262, [1262, 631, 1894, 947, 2842, 1421, 4264, 2132, 1066, 533, 1600, 800, 400, 200, 100, 50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1262,
      'J' = [631, 1894, 947, 2842, 1421, 4264, 2132, 1066, 533, 1600, 800, 400, 200, 100, 50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 631],
     [1262 > 1,
      0 is 1262 mod 2,
      631 is 1262 // 2,
      collatz(631, [631, 1894, 947, 2842, 1421, 4264, 2132, 1066, 533, 1600, 800, 400, 200, 100, 50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1262 > 1, builtin, [], []).
step(0 is 1262 mod 2, builtin, [], []).
step(631 is 1262 // 2, builtin, [], []).
step(collatz(631, [631, 1894, 947, 2842, 1421, 4264, 2132, 1066, 533, 1600, 800, 400, 200, 100, 50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 631,
      'J' = [1894, 947, 2842, 1421, 4264, 2132, 1066, 533, 1600, 800, 400, 200, 100, 50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 1893,
      'N1' = 1894],
     [631 > 1,
      1 is 631 mod 2,
      1893 is 3 * 631,
      1894 is 1893 + 1,
      collatz(1894, [1894, 947, 2842, 1421, 4264, 2132, 1066, 533, 1600, 800, 400, 200, 100, 50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(631 > 1, builtin, [], []).
step(1 is 631 mod 2, builtin, [], []).
step(1893 is 3 * 631, builtin, [], []).
step(1894 is 1893 + 1, builtin, [], []).
step(collatz(1894, [1894, 947, 2842, 1421, 4264, 2132, 1066, 533, 1600, 800, 400, 200, 100, 50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1894,
      'J' = [947, 2842, 1421, 4264, 2132, 1066, 533, 1600, 800, 400, 200, 100, 50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 947],
     [1894 > 1,
      0 is 1894 mod 2,
      947 is 1894 // 2,
      collatz(947, [947, 2842, 1421, 4264, 2132, 1066, 533, 1600, 800, 400, 200, 100, 50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1894 > 1, builtin, [], []).
step(0 is 1894 mod 2, builtin, [], []).
step(947 is 1894 // 2, builtin, [], []).
step(collatzTrajectory(840, [840, 420, 210, 105, 316, 158, 79, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 840,
      'M' = [840, 420, 210, 105, 316, 158, 79, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 160],
     [repeat(1000, 160),
      840 is 1000 - 160,
      collatz(840, [840, 420, 210, 105, 316, 158, 79, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 160),
     rule(3),
     ['N' = 1000, 'I' = 160, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 160)]).
step(between(0, 999, 160), builtin, [], []).
step(840 is 1000 - 160, builtin, [], []).
step(collatz(840, [840, 420, 210, 105, 316, 158, 79, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 840,
      'J' = [420, 210, 105, 316, 158, 79, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 420],
     [840 > 1,
      0 is 840 mod 2,
      420 is 840 // 2,
      collatz(420, [420, 210, 105, 316, 158, 79, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(840 > 1, builtin, [], []).
step(0 is 840 mod 2, builtin, [], []).
step(420 is 840 // 2, builtin, [], []).
step(collatz(420, [420, 210, 105, 316, 158, 79, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 420,
      'J' = [210, 105, 316, 158, 79, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 210],
     [420 > 1,
      0 is 420 mod 2,
      210 is 420 // 2,
      collatz(210, [210, 105, 316, 158, 79, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(420 > 1, builtin, [], []).
step(0 is 420 mod 2, builtin, [], []).
step(210 is 420 // 2, builtin, [], []).
step(collatz(210, [210, 105, 316, 158, 79, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 210,
      'J' = [105, 316, 158, 79, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 105],
     [210 > 1,
      0 is 210 mod 2,
      105 is 210 // 2,
      collatz(105, [105, 316, 158, 79, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(210 > 1, builtin, [], []).
step(0 is 210 mod 2, builtin, [], []).
step(105 is 210 // 2, builtin, [], []).
step(collatz(105, [105, 316, 158, 79, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 105,
      'J' = [316, 158, 79, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 315,
      'N1' = 316],
     [105 > 1,
      1 is 105 mod 2,
      315 is 3 * 105,
      316 is 315 + 1,
      collatz(316, [316, 158, 79, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(105 > 1, builtin, [], []).
step(1 is 105 mod 2, builtin, [], []).
step(315 is 3 * 105, builtin, [], []).
step(316 is 315 + 1, builtin, [], []).
step(collatzTrajectory(839, [839, 2518, 1259, 3778, 1889, 5668, 2834, 1417, 4252, 2126, 1063, 3190, 1595, 4786, 2393, 7180, 3590, 1795, 5386, 2693, 8080, 4040, 2020, 1010, 505, 1516, 758, 379, 1138, 569, 1708, 854, 427, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 839,
      'M' = [839, 2518, 1259, 3778, 1889, 5668, 2834, 1417, 4252, 2126, 1063, 3190, 1595, 4786, 2393, 7180, 3590, 1795, 5386, 2693, 8080, 4040, 2020, 1010, 505, 1516, 758, 379, 1138, 569, 1708, 854, 427, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 161],
     [repeat(1000, 161),
      839 is 1000 - 161,
      collatz(839, [839, 2518, 1259, 3778, 1889, 5668, 2834, 1417, 4252, 2126, 1063, 3190, 1595, 4786, 2393, 7180, 3590, 1795, 5386, 2693, 8080, 4040, 2020, 1010, 505, 1516, 758, 379, 1138, 569, 1708, 854, 427, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 161),
     rule(3),
     ['N' = 1000, 'I' = 161, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 161)]).
step(between(0, 999, 161), builtin, [], []).
step(839 is 1000 - 161, builtin, [], []).
step(collatzTrajectory(838, [838, 419, 1258, 629, 1888, 944, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 838,
      'M' = [838, 419, 1258, 629, 1888, 944, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 162],
     [repeat(1000, 162),
      838 is 1000 - 162,
      collatz(838, [838, 419, 1258, 629, 1888, 944, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 162),
     rule(3),
     ['N' = 1000, 'I' = 162, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 162)]).
step(between(0, 999, 162), builtin, [], []).
step(838 is 1000 - 162, builtin, [], []).
step(collatz(838, [838, 419, 1258, 629, 1888, 944, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 838,
      'J' = [419, 1258, 629, 1888, 944, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 419],
     [838 > 1,
      0 is 838 mod 2,
      419 is 838 // 2,
      collatz(419, [419, 1258, 629, 1888, 944, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(838 > 1, builtin, [], []).
step(0 is 838 mod 2, builtin, [], []).
step(419 is 838 // 2, builtin, [], []).
step(collatz(419, [419, 1258, 629, 1888, 944, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 419,
      'J' = [1258, 629, 1888, 944, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 1257,
      'N1' = 1258],
     [419 > 1,
      1 is 419 mod 2,
      1257 is 3 * 419,
      1258 is 1257 + 1,
      collatz(1258, [1258, 629, 1888, 944, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(419 > 1, builtin, [], []).
step(1 is 419 mod 2, builtin, [], []).
step(1257 is 3 * 419, builtin, [], []).
step(1258 is 1257 + 1, builtin, [], []).
step(collatz(1258, [1258, 629, 1888, 944, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1258,
      'J' = [629, 1888, 944, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 629],
     [1258 > 1,
      0 is 1258 mod 2,
      629 is 1258 // 2,
      collatz(629, [629, 1888, 944, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1258 > 1, builtin, [], []).
step(0 is 1258 mod 2, builtin, [], []).
step(629 is 1258 // 2, builtin, [], []).
step(collatz(629, [629, 1888, 944, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 629,
      'J' = [1888, 944, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 1887,
      'N1' = 1888],
     [629 > 1,
      1 is 629 mod 2,
      1887 is 3 * 629,
      1888 is 1887 + 1,
      collatz(1888, [1888, 944, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(629 > 1, builtin, [], []).
step(1 is 629 mod 2, builtin, [], []).
step(1887 is 3 * 629, builtin, [], []).
step(1888 is 1887 + 1, builtin, [], []).
step(collatz(1888, [1888, 944, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1888,
      'J' = [944, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 944],
     [1888 > 1,
      0 is 1888 mod 2,
      944 is 1888 // 2,
      collatz(944, [944, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1888 > 1, builtin, [], []).
step(0 is 1888 mod 2, builtin, [], []).
step(944 is 1888 // 2, builtin, [], []).
step(collatzTrajectory(837, [837, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 837,
      'M' = [837, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 163],
     [repeat(1000, 163),
      837 is 1000 - 163,
      collatz(837, [837, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 163),
     rule(3),
     ['N' = 1000, 'I' = 163, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 163)]).
step(between(0, 999, 163), builtin, [], []).
step(837 is 1000 - 163, builtin, [], []).
step(collatz(837, [837, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 837,
      'J' = [2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 2511,
      'N1' = 2512],
     [837 > 1,
      1 is 837 mod 2,
      2511 is 3 * 837,
      2512 is 2511 + 1,
      collatz(2512, [2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(837 > 1, builtin, [], []).
step(1 is 837 mod 2, builtin, [], []).
step(2511 is 3 * 837, builtin, [], []).
step(2512 is 2511 + 1, builtin, [], []).
step(collatzTrajectory(836, [836, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 836,
      'M' = [836, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 164],
     [repeat(1000, 164),
      836 is 1000 - 164,
      collatz(836, [836, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 164),
     rule(3),
     ['N' = 1000, 'I' = 164, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 164)]).
step(between(0, 999, 164), builtin, [], []).
step(836 is 1000 - 164, builtin, [], []).
step(collatzTrajectory(835, [835, 2506, 1253, 3760, 1880, 940, 470, 235, 706, 353, 1060, 530, 265, 796, 398, 199, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 835,
      'M' = [835, 2506, 1253, 3760, 1880, 940, 470, 235, 706, 353, 1060, 530, 265, 796, 398, 199, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 165],
     [repeat(1000, 165),
      835 is 1000 - 165,
      collatz(835, [835, 2506, 1253, 3760, 1880, 940, 470, 235, 706, 353, 1060, 530, 265, 796, 398, 199, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 165),
     rule(3),
     ['N' = 1000, 'I' = 165, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 165)]).
step(between(0, 999, 165), builtin, [], []).
step(835 is 1000 - 165, builtin, [], []).
step(collatz(835, [835, 2506, 1253, 3760, 1880, 940, 470, 235, 706, 353, 1060, 530, 265, 796, 398, 199, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 835,
      'J' = [2506, 1253, 3760, 1880, 940, 470, 235, 706, 353, 1060, 530, 265, 796, 398, 199, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 2505,
      'N1' = 2506],
     [835 > 1,
      1 is 835 mod 2,
      2505 is 3 * 835,
      2506 is 2505 + 1,
      collatz(2506, [2506, 1253, 3760, 1880, 940, 470, 235, 706, 353, 1060, 530, 265, 796, 398, 199, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(835 > 1, builtin, [], []).
step(1 is 835 mod 2, builtin, [], []).
step(2505 is 3 * 835, builtin, [], []).
step(2506 is 2505 + 1, builtin, [], []).
step(collatzTrajectory(834, [834, 417, 1252, 626, 313, 940, 470, 235, 706, 353, 1060, 530, 265, 796, 398, 199, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 834,
      'M' = [834, 417, 1252, 626, 313, 940, 470, 235, 706, 353, 1060, 530, 265, 796, 398, 199, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 166],
     [repeat(1000, 166),
      834 is 1000 - 166,
      collatz(834, [834, 417, 1252, 626, 313, 940, 470, 235, 706, 353, 1060, 530, 265, 796, 398, 199, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 166),
     rule(3),
     ['N' = 1000, 'I' = 166, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 166)]).
step(between(0, 999, 166), builtin, [], []).
step(834 is 1000 - 166, builtin, [], []).
step(collatz(834, [834, 417, 1252, 626, 313, 940, 470, 235, 706, 353, 1060, 530, 265, 796, 398, 199, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 834,
      'J' = [417, 1252, 626, 313, 940, 470, 235, 706, 353, 1060, 530, 265, 796, 398, 199, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 417],
     [834 > 1,
      0 is 834 mod 2,
      417 is 834 // 2,
      collatz(417, [417, 1252, 626, 313, 940, 470, 235, 706, 353, 1060, 530, 265, 796, 398, 199, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(834 > 1, builtin, [], []).
step(0 is 834 mod 2, builtin, [], []).
step(417 is 834 // 2, builtin, [], []).
step(collatz(417, [417, 1252, 626, 313, 940, 470, 235, 706, 353, 1060, 530, 265, 796, 398, 199, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 417,
      'J' = [1252, 626, 313, 940, 470, 235, 706, 353, 1060, 530, 265, 796, 398, 199, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 1251,
      'N1' = 1252],
     [417 > 1,
      1 is 417 mod 2,
      1251 is 3 * 417,
      1252 is 1251 + 1,
      collatz(1252, [1252, 626, 313, 940, 470, 235, 706, 353, 1060, 530, 265, 796, 398, 199, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(417 > 1, builtin, [], []).
step(1 is 417 mod 2, builtin, [], []).
step(1251 is 3 * 417, builtin, [], []).
step(1252 is 1251 + 1, builtin, [], []).
step(collatz(1252, [1252, 626, 313, 940, 470, 235, 706, 353, 1060, 530, 265, 796, 398, 199, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1252,
      'J' = [626, 313, 940, 470, 235, 706, 353, 1060, 530, 265, 796, 398, 199, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 626],
     [1252 > 1,
      0 is 1252 mod 2,
      626 is 1252 // 2,
      collatz(626, [626, 313, 940, 470, 235, 706, 353, 1060, 530, 265, 796, 398, 199, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1252 > 1, builtin, [], []).
step(0 is 1252 mod 2, builtin, [], []).
step(626 is 1252 // 2, builtin, [], []).
step(collatz(626, [626, 313, 940, 470, 235, 706, 353, 1060, 530, 265, 796, 398, 199, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 626,
      'J' = [313, 940, 470, 235, 706, 353, 1060, 530, 265, 796, 398, 199, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 313],
     [626 > 1,
      0 is 626 mod 2,
      313 is 626 // 2,
      collatz(313, [313, 940, 470, 235, 706, 353, 1060, 530, 265, 796, 398, 199, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(626 > 1, builtin, [], []).
step(0 is 626 mod 2, builtin, [], []).
step(313 is 626 // 2, builtin, [], []).
step(collatz(313, [313, 940, 470, 235, 706, 353, 1060, 530, 265, 796, 398, 199, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 313,
      'J' = [940, 470, 235, 706, 353, 1060, 530, 265, 796, 398, 199, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 939,
      'N1' = 940],
     [313 > 1,
      1 is 313 mod 2,
      939 is 3 * 313,
      940 is 939 + 1,
      collatz(940, [940, 470, 235, 706, 353, 1060, 530, 265, 796, 398, 199, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(313 > 1, builtin, [], []).
step(1 is 313 mod 2, builtin, [], []).
step(939 is 3 * 313, builtin, [], []).
step(940 is 939 + 1, builtin, [], []).
step(collatzTrajectory(833, [833, 2500, 1250, 625, 1876, 938, 469, 1408, 704, 352, 176, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 833,
      'M' = [833, 2500, 1250, 625, 1876, 938, 469, 1408, 704, 352, 176, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 167],
     [repeat(1000, 167),
      833 is 1000 - 167,
      collatz(833, [833, 2500, 1250, 625, 1876, 938, 469, 1408, 704, 352, 176, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 167),
     rule(3),
     ['N' = 1000, 'I' = 167, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 167)]).
step(between(0, 999, 167), builtin, [], []).
step(833 is 1000 - 167, builtin, [], []).
step(collatz(833, [833, 2500, 1250, 625, 1876, 938, 469, 1408, 704, 352, 176, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 833,
      'J' = [2500, 1250, 625, 1876, 938, 469, 1408, 704, 352, 176, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 2499,
      'N1' = 2500],
     [833 > 1,
      1 is 833 mod 2,
      2499 is 3 * 833,
      2500 is 2499 + 1,
      collatz(2500, [2500, 1250, 625, 1876, 938, 469, 1408, 704, 352, 176, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(833 > 1, builtin, [], []).
step(1 is 833 mod 2, builtin, [], []).
step(2499 is 3 * 833, builtin, [], []).
step(2500 is 2499 + 1, builtin, [], []).
step(collatz(2500, [2500, 1250, 625, 1876, 938, 469, 1408, 704, 352, 176, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 2500,
      'J' = [1250, 625, 1876, 938, 469, 1408, 704, 352, 176, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1250],
     [2500 > 1,
      0 is 2500 mod 2,
      1250 is 2500 // 2,
      collatz(1250, [1250, 625, 1876, 938, 469, 1408, 704, 352, 176, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2500 > 1, builtin, [], []).
step(0 is 2500 mod 2, builtin, [], []).
step(1250 is 2500 // 2, builtin, [], []).
step(collatz(1250, [1250, 625, 1876, 938, 469, 1408, 704, 352, 176, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1250,
      'J' = [625, 1876, 938, 469, 1408, 704, 352, 176, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 625],
     [1250 > 1,
      0 is 1250 mod 2,
      625 is 1250 // 2,
      collatz(625, [625, 1876, 938, 469, 1408, 704, 352, 176, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1250 > 1, builtin, [], []).
step(0 is 1250 mod 2, builtin, [], []).
step(625 is 1250 // 2, builtin, [], []).
step(collatz(625, [625, 1876, 938, 469, 1408, 704, 352, 176, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 625,
      'J' = [1876, 938, 469, 1408, 704, 352, 176, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 1875,
      'N1' = 1876],
     [625 > 1,
      1 is 625 mod 2,
      1875 is 3 * 625,
      1876 is 1875 + 1,
      collatz(1876, [1876, 938, 469, 1408, 704, 352, 176, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(625 > 1, builtin, [], []).
step(1 is 625 mod 2, builtin, [], []).
step(1875 is 3 * 625, builtin, [], []).
step(1876 is 1875 + 1, builtin, [], []).
step(collatzTrajectory(832, [832, 416, 208, 104, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 832,
      'M' = [832, 416, 208, 104, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 168],
     [repeat(1000, 168),
      832 is 1000 - 168,
      collatz(832, [832, 416, 208, 104, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 168),
     rule(3),
     ['N' = 1000, 'I' = 168, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 168)]).
step(between(0, 999, 168), builtin, [], []).
step(832 is 1000 - 168, builtin, [], []).
step(collatzTrajectory(831, [831, 2494, 1247, 3742, 1871, 5614, 2807, 8422, 4211, 12634, 6317, 18952, 9476, 4738, 2369, 7108, 3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 831,
      'M' = [831, 2494, 1247, 3742, 1871, 5614, 2807, 8422, 4211, 12634, 6317, 18952, 9476, 4738, 2369, 7108, 3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 169],
     [repeat(1000, 169),
      831 is 1000 - 169,
      collatz(831, [831, 2494, 1247, 3742, 1871, 5614, 2807, 8422, 4211, 12634, 6317, 18952, 9476, 4738, 2369, 7108, 3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 169),
     rule(3),
     ['N' = 1000, 'I' = 169, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 169)]).
step(between(0, 999, 169), builtin, [], []).
step(831 is 1000 - 169, builtin, [], []).
step(collatz(831, [831, 2494, 1247, 3742, 1871, 5614, 2807, 8422, 4211, 12634, 6317, 18952, 9476, 4738, 2369, 7108, 3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 831,
      'J' = [2494, 1247, 3742, 1871, 5614, 2807, 8422, 4211, 12634, 6317, 18952, 9476, 4738, 2369, 7108, 3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 2493,
      'N1' = 2494],
     [831 > 1,
      1 is 831 mod 2,
      2493 is 3 * 831,
      2494 is 2493 + 1,
      collatz(2494, [2494, 1247, 3742, 1871, 5614, 2807, 8422, 4211, 12634, 6317, 18952, 9476, 4738, 2369, 7108, 3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(831 > 1, builtin, [], []).
step(1 is 831 mod 2, builtin, [], []).
step(2493 is 3 * 831, builtin, [], []).
step(2494 is 2493 + 1, builtin, [], []).
step(collatz(2494, [2494, 1247, 3742, 1871, 5614, 2807, 8422, 4211, 12634, 6317, 18952, 9476, 4738, 2369, 7108, 3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 2494,
      'J' = [1247, 3742, 1871, 5614, 2807, 8422, 4211, 12634, 6317, 18952, 9476, 4738, 2369, 7108, 3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1247],
     [2494 > 1,
      0 is 2494 mod 2,
      1247 is 2494 // 2,
      collatz(1247, [1247, 3742, 1871, 5614, 2807, 8422, 4211, 12634, 6317, 18952, 9476, 4738, 2369, 7108, 3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2494 > 1, builtin, [], []).
step(0 is 2494 mod 2, builtin, [], []).
step(1247 is 2494 // 2, builtin, [], []).
step(collatz(1247, [1247, 3742, 1871, 5614, 2807, 8422, 4211, 12634, 6317, 18952, 9476, 4738, 2369, 7108, 3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 1247,
      'J' = [3742, 1871, 5614, 2807, 8422, 4211, 12634, 6317, 18952, 9476, 4738, 2369, 7108, 3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 3741,
      'N1' = 3742],
     [1247 > 1,
      1 is 1247 mod 2,
      3741 is 3 * 1247,
      3742 is 3741 + 1,
      collatz(3742, [3742, 1871, 5614, 2807, 8422, 4211, 12634, 6317, 18952, 9476, 4738, 2369, 7108, 3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1247 > 1, builtin, [], []).
step(1 is 1247 mod 2, builtin, [], []).
step(3741 is 3 * 1247, builtin, [], []).
step(3742 is 3741 + 1, builtin, [], []).
step(collatz(3742, [3742, 1871, 5614, 2807, 8422, 4211, 12634, 6317, 18952, 9476, 4738, 2369, 7108, 3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 3742,
      'J' = [1871, 5614, 2807, 8422, 4211, 12634, 6317, 18952, 9476, 4738, 2369, 7108, 3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1871],
     [3742 > 1,
      0 is 3742 mod 2,
      1871 is 3742 // 2,
      collatz(1871, [1871, 5614, 2807, 8422, 4211, 12634, 6317, 18952, 9476, 4738, 2369, 7108, 3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(3742 > 1, builtin, [], []).
step(0 is 3742 mod 2, builtin, [], []).
step(1871 is 3742 // 2, builtin, [], []).
step(collatz(1871, [1871, 5614, 2807, 8422, 4211, 12634, 6317, 18952, 9476, 4738, 2369, 7108, 3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 1871,
      'J' = [5614, 2807, 8422, 4211, 12634, 6317, 18952, 9476, 4738, 2369, 7108, 3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 5613,
      'N1' = 5614],
     [1871 > 1,
      1 is 1871 mod 2,
      5613 is 3 * 1871,
      5614 is 5613 + 1,
      collatz(5614, [5614, 2807, 8422, 4211, 12634, 6317, 18952, 9476, 4738, 2369, 7108, 3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1871 > 1, builtin, [], []).
step(1 is 1871 mod 2, builtin, [], []).
step(5613 is 3 * 1871, builtin, [], []).
step(5614 is 5613 + 1, builtin, [], []).
step(collatz(5614, [5614, 2807, 8422, 4211, 12634, 6317, 18952, 9476, 4738, 2369, 7108, 3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 5614,
      'J' = [2807, 8422, 4211, 12634, 6317, 18952, 9476, 4738, 2369, 7108, 3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 2807],
     [5614 > 1,
      0 is 5614 mod 2,
      2807 is 5614 // 2,
      collatz(2807, [2807, 8422, 4211, 12634, 6317, 18952, 9476, 4738, 2369, 7108, 3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(5614 > 1, builtin, [], []).
step(0 is 5614 mod 2, builtin, [], []).
step(2807 is 5614 // 2, builtin, [], []).
step(collatz(2807, [2807, 8422, 4211, 12634, 6317, 18952, 9476, 4738, 2369, 7108, 3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 2807,
      'J' = [8422, 4211, 12634, 6317, 18952, 9476, 4738, 2369, 7108, 3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 8421,
      'N1' = 8422],
     [2807 > 1,
      1 is 2807 mod 2,
      8421 is 3 * 2807,
      8422 is 8421 + 1,
      collatz(8422, [8422, 4211, 12634, 6317, 18952, 9476, 4738, 2369, 7108, 3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2807 > 1, builtin, [], []).
step(1 is 2807 mod 2, builtin, [], []).
step(8421 is 3 * 2807, builtin, [], []).
step(8422 is 8421 + 1, builtin, [], []).
step(collatz(8422, [8422, 4211, 12634, 6317, 18952, 9476, 4738, 2369, 7108, 3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 8422,
      'J' = [4211, 12634, 6317, 18952, 9476, 4738, 2369, 7108, 3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 4211],
     [8422 > 1,
      0 is 8422 mod 2,
      4211 is 8422 // 2,
      collatz(4211, [4211, 12634, 6317, 18952, 9476, 4738, 2369, 7108, 3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(8422 > 1, builtin, [], []).
step(0 is 8422 mod 2, builtin, [], []).
step(4211 is 8422 // 2, builtin, [], []).
step(collatz(4211, [4211, 12634, 6317, 18952, 9476, 4738, 2369, 7108, 3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 4211,
      'J' = [12634, 6317, 18952, 9476, 4738, 2369, 7108, 3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 12633,
      'N1' = 12634],
     [4211 > 1,
      1 is 4211 mod 2,
      12633 is 3 * 4211,
      12634 is 12633 + 1,
      collatz(12634, [12634, 6317, 18952, 9476, 4738, 2369, 7108, 3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(4211 > 1, builtin, [], []).
step(1 is 4211 mod 2, builtin, [], []).
step(12633 is 3 * 4211, builtin, [], []).
step(12634 is 12633 + 1, builtin, [], []).
step(collatz(12634, [12634, 6317, 18952, 9476, 4738, 2369, 7108, 3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 12634,
      'J' = [6317, 18952, 9476, 4738, 2369, 7108, 3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 6317],
     [12634 > 1,
      0 is 12634 mod 2,
      6317 is 12634 // 2,
      collatz(6317, [6317, 18952, 9476, 4738, 2369, 7108, 3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(12634 > 1, builtin, [], []).
step(0 is 12634 mod 2, builtin, [], []).
step(6317 is 12634 // 2, builtin, [], []).
step(collatz(6317, [6317, 18952, 9476, 4738, 2369, 7108, 3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 6317,
      'J' = [18952, 9476, 4738, 2369, 7108, 3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 18951,
      'N1' = 18952],
     [6317 > 1,
      1 is 6317 mod 2,
      18951 is 3 * 6317,
      18952 is 18951 + 1,
      collatz(18952, [18952, 9476, 4738, 2369, 7108, 3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(6317 > 1, builtin, [], []).
step(1 is 6317 mod 2, builtin, [], []).
step(18951 is 3 * 6317, builtin, [], []).
step(18952 is 18951 + 1, builtin, [], []).
step(collatz(18952, [18952, 9476, 4738, 2369, 7108, 3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 18952,
      'J' = [9476, 4738, 2369, 7108, 3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 9476],
     [18952 > 1,
      0 is 18952 mod 2,
      9476 is 18952 // 2,
      collatz(9476, [9476, 4738, 2369, 7108, 3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(18952 > 1, builtin, [], []).
step(0 is 18952 mod 2, builtin, [], []).
step(9476 is 18952 // 2, builtin, [], []).
step(collatz(9476, [9476, 4738, 2369, 7108, 3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 9476,
      'J' = [4738, 2369, 7108, 3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 4738],
     [9476 > 1,
      0 is 9476 mod 2,
      4738 is 9476 // 2,
      collatz(4738, [4738, 2369, 7108, 3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(9476 > 1, builtin, [], []).
step(0 is 9476 mod 2, builtin, [], []).
step(4738 is 9476 // 2, builtin, [], []).
step(collatzTrajectory(830, [830, 415, 1246, 623, 1870, 935, 2806, 1403, 4210, 2105, 6316, 3158, 1579, 4738, 2369, 7108, 3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 830,
      'M' = [830, 415, 1246, 623, 1870, 935, 2806, 1403, 4210, 2105, 6316, 3158, 1579, 4738, 2369, 7108, 3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 170],
     [repeat(1000, 170),
      830 is 1000 - 170,
      collatz(830, [830, 415, 1246, 623, 1870, 935, 2806, 1403, 4210, 2105, 6316, 3158, 1579, 4738, 2369, 7108, 3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 170),
     rule(3),
     ['N' = 1000, 'I' = 170, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 170)]).
step(between(0, 999, 170), builtin, [], []).
step(830 is 1000 - 170, builtin, [], []).
step(collatzTrajectory(829, [829, 2488, 1244, 622, 311, 934, 467, 1402, 701, 2104, 1052, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 829,
      'M' = [829, 2488, 1244, 622, 311, 934, 467, 1402, 701, 2104, 1052, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 171],
     [repeat(1000, 171),
      829 is 1000 - 171,
      collatz(829, [829, 2488, 1244, 622, 311, 934, 467, 1402, 701, 2104, 1052, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 171),
     rule(3),
     ['N' = 1000, 'I' = 171, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 171)]).
step(between(0, 999, 171), builtin, [], []).
step(829 is 1000 - 171, builtin, [], []).
step(collatz(829, [829, 2488, 1244, 622, 311, 934, 467, 1402, 701, 2104, 1052, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 829,
      'J' = [2488, 1244, 622, 311, 934, 467, 1402, 701, 2104, 1052, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 2487,
      'N1' = 2488],
     [829 > 1,
      1 is 829 mod 2,
      2487 is 3 * 829,
      2488 is 2487 + 1,
      collatz(2488, [2488, 1244, 622, 311, 934, 467, 1402, 701, 2104, 1052, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(829 > 1, builtin, [], []).
step(1 is 829 mod 2, builtin, [], []).
step(2487 is 3 * 829, builtin, [], []).
step(2488 is 2487 + 1, builtin, [], []).
step(collatz(2488, [2488, 1244, 622, 311, 934, 467, 1402, 701, 2104, 1052, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 2488,
      'J' = [1244, 622, 311, 934, 467, 1402, 701, 2104, 1052, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1244],
     [2488 > 1,
      0 is 2488 mod 2,
      1244 is 2488 // 2,
      collatz(1244, [1244, 622, 311, 934, 467, 1402, 701, 2104, 1052, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2488 > 1, builtin, [], []).
step(0 is 2488 mod 2, builtin, [], []).
step(1244 is 2488 // 2, builtin, [], []).
step(collatz(1244, [1244, 622, 311, 934, 467, 1402, 701, 2104, 1052, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1244,
      'J' = [622, 311, 934, 467, 1402, 701, 2104, 1052, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 622],
     [1244 > 1,
      0 is 1244 mod 2,
      622 is 1244 // 2,
      collatz(622, [622, 311, 934, 467, 1402, 701, 2104, 1052, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1244 > 1, builtin, [], []).
step(0 is 1244 mod 2, builtin, [], []).
step(622 is 1244 // 2, builtin, [], []).
step(collatz(622, [622, 311, 934, 467, 1402, 701, 2104, 1052, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 622,
      'J' = [311, 934, 467, 1402, 701, 2104, 1052, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 311],
     [622 > 1,
      0 is 622 mod 2,
      311 is 622 // 2,
      collatz(311, [311, 934, 467, 1402, 701, 2104, 1052, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(622 > 1, builtin, [], []).
step(0 is 622 mod 2, builtin, [], []).
step(311 is 622 // 2, builtin, [], []).
step(collatz(311, [311, 934, 467, 1402, 701, 2104, 1052, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 311,
      'J' = [934, 467, 1402, 701, 2104, 1052, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 933,
      'N1' = 934],
     [311 > 1,
      1 is 311 mod 2,
      933 is 3 * 311,
      934 is 933 + 1,
      collatz(934, [934, 467, 1402, 701, 2104, 1052, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(311 > 1, builtin, [], []).
step(1 is 311 mod 2, builtin, [], []).
step(933 is 3 * 311, builtin, [], []).
step(934 is 933 + 1, builtin, [], []).
step(collatzTrajectory(828, [828, 414, 207, 622, 311, 934, 467, 1402, 701, 2104, 1052, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 828,
      'M' = [828, 414, 207, 622, 311, 934, 467, 1402, 701, 2104, 1052, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 172],
     [repeat(1000, 172),
      828 is 1000 - 172,
      collatz(828, [828, 414, 207, 622, 311, 934, 467, 1402, 701, 2104, 1052, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 172),
     rule(3),
     ['N' = 1000, 'I' = 172, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 172)]).
step(between(0, 999, 172), builtin, [], []).
step(828 is 1000 - 172, builtin, [], []).
step(collatz(828, [828, 414, 207, 622, 311, 934, 467, 1402, 701, 2104, 1052, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 828,
      'J' = [414, 207, 622, 311, 934, 467, 1402, 701, 2104, 1052, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 414],
     [828 > 1,
      0 is 828 mod 2,
      414 is 828 // 2,
      collatz(414, [414, 207, 622, 311, 934, 467, 1402, 701, 2104, 1052, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(828 > 1, builtin, [], []).
step(0 is 828 mod 2, builtin, [], []).
step(414 is 828 // 2, builtin, [], []).
step(collatz(414, [414, 207, 622, 311, 934, 467, 1402, 701, 2104, 1052, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 414,
      'J' = [207, 622, 311, 934, 467, 1402, 701, 2104, 1052, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 207],
     [414 > 1,
      0 is 414 mod 2,
      207 is 414 // 2,
      collatz(207, [207, 622, 311, 934, 467, 1402, 701, 2104, 1052, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(414 > 1, builtin, [], []).
step(0 is 414 mod 2, builtin, [], []).
step(207 is 414 // 2, builtin, [], []).
step(collatz(207, [207, 622, 311, 934, 467, 1402, 701, 2104, 1052, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 207,
      'J' = [622, 311, 934, 467, 1402, 701, 2104, 1052, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 621,
      'N1' = 622],
     [207 > 1,
      1 is 207 mod 2,
      621 is 3 * 207,
      622 is 621 + 1,
      collatz(622, [622, 311, 934, 467, 1402, 701, 2104, 1052, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(207 > 1, builtin, [], []).
step(1 is 207 mod 2, builtin, [], []).
step(621 is 3 * 207, builtin, [], []).
step(622 is 621 + 1, builtin, [], []).
step(collatzTrajectory(827, [827, 2482, 1241, 3724, 1862, 931, 2794, 1397, 4192, 2096, 1048, 524, 262, 131, 394, 197, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 827,
      'M' = [827, 2482, 1241, 3724, 1862, 931, 2794, 1397, 4192, 2096, 1048, 524, 262, 131, 394, 197, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 173],
     [repeat(1000, 173),
      827 is 1000 - 173,
      collatz(827, [827, 2482, 1241, 3724, 1862, 931, 2794, 1397, 4192, 2096, 1048, 524, 262, 131, 394, 197, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 173),
     rule(3),
     ['N' = 1000, 'I' = 173, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 173)]).
step(between(0, 999, 173), builtin, [], []).
step(827 is 1000 - 173, builtin, [], []).
step(collatzTrajectory(826, [826, 413, 1240, 620, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 826,
      'M' = [826, 413, 1240, 620, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 174],
     [repeat(1000, 174),
      826 is 1000 - 174,
      collatz(826, [826, 413, 1240, 620, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 174),
     rule(3),
     ['N' = 1000, 'I' = 174, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 174)]).
step(between(0, 999, 174), builtin, [], []).
step(826 is 1000 - 174, builtin, [], []).
step(collatzTrajectory(825, [825, 2476, 1238, 619, 1858, 929, 2788, 1394, 697, 2092, 1046, 523, 1570, 785, 2356, 1178, 589, 1768, 884, 442, 221, 664, 332, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 825,
      'M' = [825, 2476, 1238, 619, 1858, 929, 2788, 1394, 697, 2092, 1046, 523, 1570, 785, 2356, 1178, 589, 1768, 884, 442, 221, 664, 332, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 175],
     [repeat(1000, 175),
      825 is 1000 - 175,
      collatz(825, [825, 2476, 1238, 619, 1858, 929, 2788, 1394, 697, 2092, 1046, 523, 1570, 785, 2356, 1178, 589, 1768, 884, 442, 221, 664, 332, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 175),
     rule(3),
     ['N' = 1000, 'I' = 175, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 175)]).
step(between(0, 999, 175), builtin, [], []).
step(825 is 1000 - 175, builtin, [], []).
step(collatz(825, [825, 2476, 1238, 619, 1858, 929, 2788, 1394, 697, 2092, 1046, 523, 1570, 785, 2356, 1178, 589, 1768, 884, 442, 221, 664, 332, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 825,
      'J' = [2476, 1238, 619, 1858, 929, 2788, 1394, 697, 2092, 1046, 523, 1570, 785, 2356, 1178, 589, 1768, 884, 442, 221, 664, 332, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 2475,
      'N1' = 2476],
     [825 > 1,
      1 is 825 mod 2,
      2475 is 3 * 825,
      2476 is 2475 + 1,
      collatz(2476, [2476, 1238, 619, 1858, 929, 2788, 1394, 697, 2092, 1046, 523, 1570, 785, 2356, 1178, 589, 1768, 884, 442, 221, 664, 332, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(825 > 1, builtin, [], []).
step(1 is 825 mod 2, builtin, [], []).
step(2475 is 3 * 825, builtin, [], []).
step(2476 is 2475 + 1, builtin, [], []).
step(collatz(2476, [2476, 1238, 619, 1858, 929, 2788, 1394, 697, 2092, 1046, 523, 1570, 785, 2356, 1178, 589, 1768, 884, 442, 221, 664, 332, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 2476,
      'J' = [1238, 619, 1858, 929, 2788, 1394, 697, 2092, 1046, 523, 1570, 785, 2356, 1178, 589, 1768, 884, 442, 221, 664, 332, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1238],
     [2476 > 1,
      0 is 2476 mod 2,
      1238 is 2476 // 2,
      collatz(1238, [1238, 619, 1858, 929, 2788, 1394, 697, 2092, 1046, 523, 1570, 785, 2356, 1178, 589, 1768, 884, 442, 221, 664, 332, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2476 > 1, builtin, [], []).
step(0 is 2476 mod 2, builtin, [], []).
step(1238 is 2476 // 2, builtin, [], []).
step(collatz(1238, [1238, 619, 1858, 929, 2788, 1394, 697, 2092, 1046, 523, 1570, 785, 2356, 1178, 589, 1768, 884, 442, 221, 664, 332, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1238,
      'J' = [619, 1858, 929, 2788, 1394, 697, 2092, 1046, 523, 1570, 785, 2356, 1178, 589, 1768, 884, 442, 221, 664, 332, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 619],
     [1238 > 1,
      0 is 1238 mod 2,
      619 is 1238 // 2,
      collatz(619, [619, 1858, 929, 2788, 1394, 697, 2092, 1046, 523, 1570, 785, 2356, 1178, 589, 1768, 884, 442, 221, 664, 332, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1238 > 1, builtin, [], []).
step(0 is 1238 mod 2, builtin, [], []).
step(619 is 1238 // 2, builtin, [], []).
step(collatz(619, [619, 1858, 929, 2788, 1394, 697, 2092, 1046, 523, 1570, 785, 2356, 1178, 589, 1768, 884, 442, 221, 664, 332, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 619,
      'J' = [1858, 929, 2788, 1394, 697, 2092, 1046, 523, 1570, 785, 2356, 1178, 589, 1768, 884, 442, 221, 664, 332, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 1857,
      'N1' = 1858],
     [619 > 1,
      1 is 619 mod 2,
      1857 is 3 * 619,
      1858 is 1857 + 1,
      collatz(1858, [1858, 929, 2788, 1394, 697, 2092, 1046, 523, 1570, 785, 2356, 1178, 589, 1768, 884, 442, 221, 664, 332, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(619 > 1, builtin, [], []).
step(1 is 619 mod 2, builtin, [], []).
step(1857 is 3 * 619, builtin, [], []).
step(1858 is 1857 + 1, builtin, [], []).
step(collatz(1858, [1858, 929, 2788, 1394, 697, 2092, 1046, 523, 1570, 785, 2356, 1178, 589, 1768, 884, 442, 221, 664, 332, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1858,
      'J' = [929, 2788, 1394, 697, 2092, 1046, 523, 1570, 785, 2356, 1178, 589, 1768, 884, 442, 221, 664, 332, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 929],
     [1858 > 1,
      0 is 1858 mod 2,
      929 is 1858 // 2,
      collatz(929, [929, 2788, 1394, 697, 2092, 1046, 523, 1570, 785, 2356, 1178, 589, 1768, 884, 442, 221, 664, 332, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1858 > 1, builtin, [], []).
step(0 is 1858 mod 2, builtin, [], []).
step(929 is 1858 // 2, builtin, [], []).
step(collatzTrajectory(824, [824, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 824,
      'M' = [824, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 176],
     [repeat(1000, 176),
      824 is 1000 - 176,
      collatz(824, [824, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 176),
     rule(3),
     ['N' = 1000, 'I' = 176, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 176)]).
step(between(0, 999, 176), builtin, [], []).
step(824 is 1000 - 176, builtin, [], []).
step(collatz(824, [824, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 824,
      'J' = [412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 412],
     [824 > 1,
      0 is 824 mod 2,
      412 is 824 // 2,
      collatz(412, [412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(824 > 1, builtin, [], []).
step(0 is 824 mod 2, builtin, [], []).
step(412 is 824 // 2, builtin, [], []).
step(collatzTrajectory(823, [823, 2470, 1235, 3706, 1853, 5560, 2780, 1390, 695, 2086, 1043, 3130, 1565, 4696, 2348, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 823,
      'M' = [823, 2470, 1235, 3706, 1853, 5560, 2780, 1390, 695, 2086, 1043, 3130, 1565, 4696, 2348, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 177],
     [repeat(1000, 177),
      823 is 1000 - 177,
      collatz(823, [823, 2470, 1235, 3706, 1853, 5560, 2780, 1390, 695, 2086, 1043, 3130, 1565, 4696, 2348, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 177),
     rule(3),
     ['N' = 1000, 'I' = 177, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 177)]).
step(between(0, 999, 177), builtin, [], []).
step(823 is 1000 - 177, builtin, [], []).
step(collatzTrajectory(822, [822, 411, 1234, 617, 1852, 926, 463, 1390, 695, 2086, 1043, 3130, 1565, 4696, 2348, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 822,
      'M' = [822, 411, 1234, 617, 1852, 926, 463, 1390, 695, 2086, 1043, 3130, 1565, 4696, 2348, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 178],
     [repeat(1000, 178),
      822 is 1000 - 178,
      collatz(822, [822, 411, 1234, 617, 1852, 926, 463, 1390, 695, 2086, 1043, 3130, 1565, 4696, 2348, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 178),
     rule(3),
     ['N' = 1000, 'I' = 178, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 178)]).
step(between(0, 999, 178), builtin, [], []).
step(822 is 1000 - 178, builtin, [], []).
step(collatz(822, [822, 411, 1234, 617, 1852, 926, 463, 1390, 695, 2086, 1043, 3130, 1565, 4696, 2348, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 822,
      'J' = [411, 1234, 617, 1852, 926, 463, 1390, 695, 2086, 1043, 3130, 1565, 4696, 2348, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 411],
     [822 > 1,
      0 is 822 mod 2,
      411 is 822 // 2,
      collatz(411, [411, 1234, 617, 1852, 926, 463, 1390, 695, 2086, 1043, 3130, 1565, 4696, 2348, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(822 > 1, builtin, [], []).
step(0 is 822 mod 2, builtin, [], []).
step(411 is 822 // 2, builtin, [], []).
step(collatz(411, [411, 1234, 617, 1852, 926, 463, 1390, 695, 2086, 1043, 3130, 1565, 4696, 2348, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 411,
      'J' = [1234, 617, 1852, 926, 463, 1390, 695, 2086, 1043, 3130, 1565, 4696, 2348, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 1233,
      'N1' = 1234],
     [411 > 1,
      1 is 411 mod 2,
      1233 is 3 * 411,
      1234 is 1233 + 1,
      collatz(1234, [1234, 617, 1852, 926, 463, 1390, 695, 2086, 1043, 3130, 1565, 4696, 2348, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(411 > 1, builtin, [], []).
step(1 is 411 mod 2, builtin, [], []).
step(1233 is 3 * 411, builtin, [], []).
step(1234 is 1233 + 1, builtin, [], []).
step(collatz(1234, [1234, 617, 1852, 926, 463, 1390, 695, 2086, 1043, 3130, 1565, 4696, 2348, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1234,
      'J' = [617, 1852, 926, 463, 1390, 695, 2086, 1043, 3130, 1565, 4696, 2348, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 617],
     [1234 > 1,
      0 is 1234 mod 2,
      617 is 1234 // 2,
      collatz(617, [617, 1852, 926, 463, 1390, 695, 2086, 1043, 3130, 1565, 4696, 2348, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1234 > 1, builtin, [], []).
step(0 is 1234 mod 2, builtin, [], []).
step(617 is 1234 // 2, builtin, [], []).
step(collatz(617, [617, 1852, 926, 463, 1390, 695, 2086, 1043, 3130, 1565, 4696, 2348, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 617,
      'J' = [1852, 926, 463, 1390, 695, 2086, 1043, 3130, 1565, 4696, 2348, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 1851,
      'N1' = 1852],
     [617 > 1,
      1 is 617 mod 2,
      1851 is 3 * 617,
      1852 is 1851 + 1,
      collatz(1852, [1852, 926, 463, 1390, 695, 2086, 1043, 3130, 1565, 4696, 2348, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(617 > 1, builtin, [], []).
step(1 is 617 mod 2, builtin, [], []).
step(1851 is 3 * 617, builtin, [], []).
step(1852 is 1851 + 1, builtin, [], []).
step(collatz(1852, [1852, 926, 463, 1390, 695, 2086, 1043, 3130, 1565, 4696, 2348, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1852,
      'J' = [926, 463, 1390, 695, 2086, 1043, 3130, 1565, 4696, 2348, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 926],
     [1852 > 1,
      0 is 1852 mod 2,
      926 is 1852 // 2,
      collatz(926, [926, 463, 1390, 695, 2086, 1043, 3130, 1565, 4696, 2348, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1852 > 1, builtin, [], []).
step(0 is 1852 mod 2, builtin, [], []).
step(926 is 1852 // 2, builtin, [], []).
step(collatzTrajectory(821, [821, 2464, 1232, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 821,
      'M' = [821, 2464, 1232, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 179],
     [repeat(1000, 179),
      821 is 1000 - 179,
      collatz(821, [821, 2464, 1232, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 179),
     rule(3),
     ['N' = 1000, 'I' = 179, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 179)]).
step(between(0, 999, 179), builtin, [], []).
step(821 is 1000 - 179, builtin, [], []).
step(collatz(821, [821, 2464, 1232, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 821,
      'J' = [2464, 1232, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 2463,
      'N1' = 2464],
     [821 > 1,
      1 is 821 mod 2,
      2463 is 3 * 821,
      2464 is 2463 + 1,
      collatz(2464, [2464, 1232, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(821 > 1, builtin, [], []).
step(1 is 821 mod 2, builtin, [], []).
step(2463 is 3 * 821, builtin, [], []).
step(2464 is 2463 + 1, builtin, [], []).
step(collatz(2464, [2464, 1232, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 2464,
      'J' = [1232, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1232],
     [2464 > 1,
      0 is 2464 mod 2,
      1232 is 2464 // 2,
      collatz(1232, [1232, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2464 > 1, builtin, [], []).
step(0 is 2464 mod 2, builtin, [], []).
step(1232 is 2464 // 2, builtin, [], []).
step(collatz(1232, [1232, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1232,
      'J' = [616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 616],
     [1232 > 1,
      0 is 1232 mod 2,
      616 is 1232 // 2,
      collatz(616, [616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1232 > 1, builtin, [], []).
step(0 is 1232 mod 2, builtin, [], []).
step(616 is 1232 // 2, builtin, [], []).
step(collatzTrajectory(820, [820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 820,
      'M' = [820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 180],
     [repeat(1000, 180),
      820 is 1000 - 180,
      collatz(820, [820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 180),
     rule(3),
     ['N' = 1000, 'I' = 180, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 180)]).
step(between(0, 999, 180), builtin, [], []).
step(820 is 1000 - 180, builtin, [], []).
step(collatzTrajectory(819, [819, 2458, 1229, 3688, 1844, 922, 461, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 819,
      'M' = [819, 2458, 1229, 3688, 1844, 922, 461, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 181],
     [repeat(1000, 181),
      819 is 1000 - 181,
      collatz(819, [819, 2458, 1229, 3688, 1844, 922, 461, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 181),
     rule(3),
     ['N' = 1000, 'I' = 181, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 181)]).
step(between(0, 999, 181), builtin, [], []).
step(819 is 1000 - 181, builtin, [], []).
step(collatz(819, [819, 2458, 1229, 3688, 1844, 922, 461, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 819,
      'J' = [2458, 1229, 3688, 1844, 922, 461, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 2457,
      'N1' = 2458],
     [819 > 1,
      1 is 819 mod 2,
      2457 is 3 * 819,
      2458 is 2457 + 1,
      collatz(2458, [2458, 1229, 3688, 1844, 922, 461, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(819 > 1, builtin, [], []).
step(1 is 819 mod 2, builtin, [], []).
step(2457 is 3 * 819, builtin, [], []).
step(2458 is 2457 + 1, builtin, [], []).
step(collatz(2458, [2458, 1229, 3688, 1844, 922, 461, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 2458,
      'J' = [1229, 3688, 1844, 922, 461, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1229],
     [2458 > 1,
      0 is 2458 mod 2,
      1229 is 2458 // 2,
      collatz(1229, [1229, 3688, 1844, 922, 461, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2458 > 1, builtin, [], []).
step(0 is 2458 mod 2, builtin, [], []).
step(1229 is 2458 // 2, builtin, [], []).
step(collatz(1229, [1229, 3688, 1844, 922, 461, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 1229,
      'J' = [3688, 1844, 922, 461, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 3687,
      'N1' = 3688],
     [1229 > 1,
      1 is 1229 mod 2,
      3687 is 3 * 1229,
      3688 is 3687 + 1,
      collatz(3688, [3688, 1844, 922, 461, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1229 > 1, builtin, [], []).
step(1 is 1229 mod 2, builtin, [], []).
step(3687 is 3 * 1229, builtin, [], []).
step(3688 is 3687 + 1, builtin, [], []).
step(collatz(3688, [3688, 1844, 922, 461, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 3688,
      'J' = [1844, 922, 461, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1844],
     [3688 > 1,
      0 is 3688 mod 2,
      1844 is 3688 // 2,
      collatz(1844, [1844, 922, 461, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(3688 > 1, builtin, [], []).
step(0 is 3688 mod 2, builtin, [], []).
step(1844 is 3688 // 2, builtin, [], []).
step(collatz(1844, [1844, 922, 461, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1844,
      'J' = [922, 461, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 922],
     [1844 > 1,
      0 is 1844 mod 2,
      922 is 1844 // 2,
      collatz(922, [922, 461, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1844 > 1, builtin, [], []).
step(0 is 1844 mod 2, builtin, [], []).
step(922 is 1844 // 2, builtin, [], []).
step(collatzTrajectory(818, [818, 409, 1228, 614, 307, 922, 461, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 818,
      'M' = [818, 409, 1228, 614, 307, 922, 461, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 182],
     [repeat(1000, 182),
      818 is 1000 - 182,
      collatz(818, [818, 409, 1228, 614, 307, 922, 461, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 182),
     rule(3),
     ['N' = 1000, 'I' = 182, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 182)]).
step(between(0, 999, 182), builtin, [], []).
step(818 is 1000 - 182, builtin, [], []).
step(collatzTrajectory(817, [817, 2452, 1226, 613, 1840, 920, 460, 230, 115, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 817,
      'M' = [817, 2452, 1226, 613, 1840, 920, 460, 230, 115, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 183],
     [repeat(1000, 183),
      817 is 1000 - 183,
      collatz(817, [817, 2452, 1226, 613, 1840, 920, 460, 230, 115, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 183),
     rule(3),
     ['N' = 1000, 'I' = 183, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 183)]).
step(between(0, 999, 183), builtin, [], []).
step(817 is 1000 - 183, builtin, [], []).
step(collatz(817, [817, 2452, 1226, 613, 1840, 920, 460, 230, 115, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 817,
      'J' = [2452, 1226, 613, 1840, 920, 460, 230, 115, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 2451,
      'N1' = 2452],
     [817 > 1,
      1 is 817 mod 2,
      2451 is 3 * 817,
      2452 is 2451 + 1,
      collatz(2452, [2452, 1226, 613, 1840, 920, 460, 230, 115, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(817 > 1, builtin, [], []).
step(1 is 817 mod 2, builtin, [], []).
step(2451 is 3 * 817, builtin, [], []).
step(2452 is 2451 + 1, builtin, [], []).
step(collatz(2452, [2452, 1226, 613, 1840, 920, 460, 230, 115, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 2452,
      'J' = [1226, 613, 1840, 920, 460, 230, 115, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1226],
     [2452 > 1,
      0 is 2452 mod 2,
      1226 is 2452 // 2,
      collatz(1226, [1226, 613, 1840, 920, 460, 230, 115, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2452 > 1, builtin, [], []).
step(0 is 2452 mod 2, builtin, [], []).
step(1226 is 2452 // 2, builtin, [], []).
step(collatz(1226, [1226, 613, 1840, 920, 460, 230, 115, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1226,
      'J' = [613, 1840, 920, 460, 230, 115, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 613],
     [1226 > 1,
      0 is 1226 mod 2,
      613 is 1226 // 2,
      collatz(613, [613, 1840, 920, 460, 230, 115, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1226 > 1, builtin, [], []).
step(0 is 1226 mod 2, builtin, [], []).
step(613 is 1226 // 2, builtin, [], []).
step(collatz(613, [613, 1840, 920, 460, 230, 115, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 613,
      'J' = [1840, 920, 460, 230, 115, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 1839,
      'N1' = 1840],
     [613 > 1,
      1 is 613 mod 2,
      1839 is 3 * 613,
      1840 is 1839 + 1,
      collatz(1840, [1840, 920, 460, 230, 115, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(613 > 1, builtin, [], []).
step(1 is 613 mod 2, builtin, [], []).
step(1839 is 3 * 613, builtin, [], []).
step(1840 is 1839 + 1, builtin, [], []).
step(collatz(1840, [1840, 920, 460, 230, 115, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1840,
      'J' = [920, 460, 230, 115, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 920],
     [1840 > 1,
      0 is 1840 mod 2,
      920 is 1840 // 2,
      collatz(920, [920, 460, 230, 115, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1840 > 1, builtin, [], []).
step(0 is 1840 mod 2, builtin, [], []).
step(920 is 1840 // 2, builtin, [], []).
step(collatzTrajectory(816, [816, 408, 204, 102, 51, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 816,
      'M' = [816, 408, 204, 102, 51, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 184],
     [repeat(1000, 184),
      816 is 1000 - 184,
      collatz(816, [816, 408, 204, 102, 51, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 184),
     rule(3),
     ['N' = 1000, 'I' = 184, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 184)]).
step(between(0, 999, 184), builtin, [], []).
step(816 is 1000 - 184, builtin, [], []).
step(collatz(816, [816, 408, 204, 102, 51, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 816,
      'J' = [408, 204, 102, 51, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 408],
     [816 > 1,
      0 is 816 mod 2,
      408 is 816 // 2,
      collatz(408, [408, 204, 102, 51, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(816 > 1, builtin, [], []).
step(0 is 816 mod 2, builtin, [], []).
step(408 is 816 // 2, builtin, [], []).
step(collatz(408, [408, 204, 102, 51, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 408,
      'J' = [204, 102, 51, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 204],
     [408 > 1,
      0 is 408 mod 2,
      204 is 408 // 2,
      collatz(204, [204, 102, 51, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(408 > 1, builtin, [], []).
step(0 is 408 mod 2, builtin, [], []).
step(204 is 408 // 2, builtin, [], []).
step(collatz(204, [204, 102, 51, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 204,
      'J' = [102, 51, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 102],
     [204 > 1,
      0 is 204 mod 2,
      102 is 204 // 2,
      collatz(102, [102, 51, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(204 > 1, builtin, [], []).
step(0 is 204 mod 2, builtin, [], []).
step(102 is 204 // 2, builtin, [], []).
step(collatz(102, [102, 51, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 102,
      'J' = [51, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 51],
     [102 > 1,
      0 is 102 mod 2,
      51 is 102 // 2,
      collatz(51, [51, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(102 > 1, builtin, [], []).
step(0 is 102 mod 2, builtin, [], []).
step(51 is 102 // 2, builtin, [], []).
step(collatz(51, [51, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 51,
      'J' = [154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 153,
      'N1' = 154],
     [51 > 1,
      1 is 51 mod 2,
      153 is 3 * 51,
      154 is 153 + 1,
      collatz(154, [154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(51 > 1, builtin, [], []).
step(1 is 51 mod 2, builtin, [], []).
step(153 is 3 * 51, builtin, [], []).
step(154 is 153 + 1, builtin, [], []).
step(collatzTrajectory(815, [815, 2446, 1223, 3670, 1835, 5506, 2753, 8260, 4130, 2065, 6196, 3098, 1549, 4648, 2324, 1162, 581, 1744, 872, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 815,
      'M' = [815, 2446, 1223, 3670, 1835, 5506, 2753, 8260, 4130, 2065, 6196, 3098, 1549, 4648, 2324, 1162, 581, 1744, 872, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 185],
     [repeat(1000, 185),
      815 is 1000 - 185,
      collatz(815, [815, 2446, 1223, 3670, 1835, 5506, 2753, 8260, 4130, 2065, 6196, 3098, 1549, 4648, 2324, 1162, 581, 1744, 872, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 185),
     rule(3),
     ['N' = 1000, 'I' = 185, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 185)]).
step(between(0, 999, 185), builtin, [], []).
step(815 is 1000 - 185, builtin, [], []).
step(collatz(815, [815, 2446, 1223, 3670, 1835, 5506, 2753, 8260, 4130, 2065, 6196, 3098, 1549, 4648, 2324, 1162, 581, 1744, 872, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 815,
      'J' = [2446, 1223, 3670, 1835, 5506, 2753, 8260, 4130, 2065, 6196, 3098, 1549, 4648, 2324, 1162, 581, 1744, 872, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 2445,
      'N1' = 2446],
     [815 > 1,
      1 is 815 mod 2,
      2445 is 3 * 815,
      2446 is 2445 + 1,
      collatz(2446, [2446, 1223, 3670, 1835, 5506, 2753, 8260, 4130, 2065, 6196, 3098, 1549, 4648, 2324, 1162, 581, 1744, 872, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(815 > 1, builtin, [], []).
step(1 is 815 mod 2, builtin, [], []).
step(2445 is 3 * 815, builtin, [], []).
step(2446 is 2445 + 1, builtin, [], []).
step(collatz(2446, [2446, 1223, 3670, 1835, 5506, 2753, 8260, 4130, 2065, 6196, 3098, 1549, 4648, 2324, 1162, 581, 1744, 872, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 2446,
      'J' = [1223, 3670, 1835, 5506, 2753, 8260, 4130, 2065, 6196, 3098, 1549, 4648, 2324, 1162, 581, 1744, 872, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1223],
     [2446 > 1,
      0 is 2446 mod 2,
      1223 is 2446 // 2,
      collatz(1223, [1223, 3670, 1835, 5506, 2753, 8260, 4130, 2065, 6196, 3098, 1549, 4648, 2324, 1162, 581, 1744, 872, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2446 > 1, builtin, [], []).
step(0 is 2446 mod 2, builtin, [], []).
step(1223 is 2446 // 2, builtin, [], []).
step(collatz(1223, [1223, 3670, 1835, 5506, 2753, 8260, 4130, 2065, 6196, 3098, 1549, 4648, 2324, 1162, 581, 1744, 872, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 1223,
      'J' = [3670, 1835, 5506, 2753, 8260, 4130, 2065, 6196, 3098, 1549, 4648, 2324, 1162, 581, 1744, 872, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 3669,
      'N1' = 3670],
     [1223 > 1,
      1 is 1223 mod 2,
      3669 is 3 * 1223,
      3670 is 3669 + 1,
      collatz(3670, [3670, 1835, 5506, 2753, 8260, 4130, 2065, 6196, 3098, 1549, 4648, 2324, 1162, 581, 1744, 872, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1223 > 1, builtin, [], []).
step(1 is 1223 mod 2, builtin, [], []).
step(3669 is 3 * 1223, builtin, [], []).
step(3670 is 3669 + 1, builtin, [], []).
step(collatz(3670, [3670, 1835, 5506, 2753, 8260, 4130, 2065, 6196, 3098, 1549, 4648, 2324, 1162, 581, 1744, 872, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 3670,
      'J' = [1835, 5506, 2753, 8260, 4130, 2065, 6196, 3098, 1549, 4648, 2324, 1162, 581, 1744, 872, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1835],
     [3670 > 1,
      0 is 3670 mod 2,
      1835 is 3670 // 2,
      collatz(1835, [1835, 5506, 2753, 8260, 4130, 2065, 6196, 3098, 1549, 4648, 2324, 1162, 581, 1744, 872, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(3670 > 1, builtin, [], []).
step(0 is 3670 mod 2, builtin, [], []).
step(1835 is 3670 // 2, builtin, [], []).
step(collatz(1835, [1835, 5506, 2753, 8260, 4130, 2065, 6196, 3098, 1549, 4648, 2324, 1162, 581, 1744, 872, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 1835,
      'J' = [5506, 2753, 8260, 4130, 2065, 6196, 3098, 1549, 4648, 2324, 1162, 581, 1744, 872, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 5505,
      'N1' = 5506],
     [1835 > 1,
      1 is 1835 mod 2,
      5505 is 3 * 1835,
      5506 is 5505 + 1,
      collatz(5506, [5506, 2753, 8260, 4130, 2065, 6196, 3098, 1549, 4648, 2324, 1162, 581, 1744, 872, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1835 > 1, builtin, [], []).
step(1 is 1835 mod 2, builtin, [], []).
step(5505 is 3 * 1835, builtin, [], []).
step(5506 is 5505 + 1, builtin, [], []).
step(collatz(5506, [5506, 2753, 8260, 4130, 2065, 6196, 3098, 1549, 4648, 2324, 1162, 581, 1744, 872, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 5506,
      'J' = [2753, 8260, 4130, 2065, 6196, 3098, 1549, 4648, 2324, 1162, 581, 1744, 872, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 2753],
     [5506 > 1,
      0 is 5506 mod 2,
      2753 is 5506 // 2,
      collatz(2753, [2753, 8260, 4130, 2065, 6196, 3098, 1549, 4648, 2324, 1162, 581, 1744, 872, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(5506 > 1, builtin, [], []).
step(0 is 5506 mod 2, builtin, [], []).
step(2753 is 5506 // 2, builtin, [], []).
step(collatz(2753, [2753, 8260, 4130, 2065, 6196, 3098, 1549, 4648, 2324, 1162, 581, 1744, 872, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 2753,
      'J' = [8260, 4130, 2065, 6196, 3098, 1549, 4648, 2324, 1162, 581, 1744, 872, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 8259,
      'N1' = 8260],
     [2753 > 1,
      1 is 2753 mod 2,
      8259 is 3 * 2753,
      8260 is 8259 + 1,
      collatz(8260, [8260, 4130, 2065, 6196, 3098, 1549, 4648, 2324, 1162, 581, 1744, 872, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2753 > 1, builtin, [], []).
step(1 is 2753 mod 2, builtin, [], []).
step(8259 is 3 * 2753, builtin, [], []).
step(8260 is 8259 + 1, builtin, [], []).
step(collatz(8260, [8260, 4130, 2065, 6196, 3098, 1549, 4648, 2324, 1162, 581, 1744, 872, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 8260,
      'J' = [4130, 2065, 6196, 3098, 1549, 4648, 2324, 1162, 581, 1744, 872, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 4130],
     [8260 > 1,
      0 is 8260 mod 2,
      4130 is 8260 // 2,
      collatz(4130, [4130, 2065, 6196, 3098, 1549, 4648, 2324, 1162, 581, 1744, 872, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(8260 > 1, builtin, [], []).
step(0 is 8260 mod 2, builtin, [], []).
step(4130 is 8260 // 2, builtin, [], []).
step(collatz(4130, [4130, 2065, 6196, 3098, 1549, 4648, 2324, 1162, 581, 1744, 872, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 4130,
      'J' = [2065, 6196, 3098, 1549, 4648, 2324, 1162, 581, 1744, 872, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 2065],
     [4130 > 1,
      0 is 4130 mod 2,
      2065 is 4130 // 2,
      collatz(2065, [2065, 6196, 3098, 1549, 4648, 2324, 1162, 581, 1744, 872, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(4130 > 1, builtin, [], []).
step(0 is 4130 mod 2, builtin, [], []).
step(2065 is 4130 // 2, builtin, [], []).
step(collatz(2065, [2065, 6196, 3098, 1549, 4648, 2324, 1162, 581, 1744, 872, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 2065,
      'J' = [6196, 3098, 1549, 4648, 2324, 1162, 581, 1744, 872, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 6195,
      'N1' = 6196],
     [2065 > 1,
      1 is 2065 mod 2,
      6195 is 3 * 2065,
      6196 is 6195 + 1,
      collatz(6196, [6196, 3098, 1549, 4648, 2324, 1162, 581, 1744, 872, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2065 > 1, builtin, [], []).
step(1 is 2065 mod 2, builtin, [], []).
step(6195 is 3 * 2065, builtin, [], []).
step(6196 is 6195 + 1, builtin, [], []).
step(collatz(6196, [6196, 3098, 1549, 4648, 2324, 1162, 581, 1744, 872, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 6196,
      'J' = [3098, 1549, 4648, 2324, 1162, 581, 1744, 872, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 3098],
     [6196 > 1,
      0 is 6196 mod 2,
      3098 is 6196 // 2,
      collatz(3098, [3098, 1549, 4648, 2324, 1162, 581, 1744, 872, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(6196 > 1, builtin, [], []).
step(0 is 6196 mod 2, builtin, [], []).
step(3098 is 6196 // 2, builtin, [], []).
step(collatz(3098, [3098, 1549, 4648, 2324, 1162, 581, 1744, 872, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 3098,
      'J' = [1549, 4648, 2324, 1162, 581, 1744, 872, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1549],
     [3098 > 1,
      0 is 3098 mod 2,
      1549 is 3098 // 2,
      collatz(1549, [1549, 4648, 2324, 1162, 581, 1744, 872, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(3098 > 1, builtin, [], []).
step(0 is 3098 mod 2, builtin, [], []).
step(1549 is 3098 // 2, builtin, [], []).
step(collatz(1549, [1549, 4648, 2324, 1162, 581, 1744, 872, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 1549,
      'J' = [4648, 2324, 1162, 581, 1744, 872, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 4647,
      'N1' = 4648],
     [1549 > 1,
      1 is 1549 mod 2,
      4647 is 3 * 1549,
      4648 is 4647 + 1,
      collatz(4648, [4648, 2324, 1162, 581, 1744, 872, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1549 > 1, builtin, [], []).
step(1 is 1549 mod 2, builtin, [], []).
step(4647 is 3 * 1549, builtin, [], []).
step(4648 is 4647 + 1, builtin, [], []).
step(collatz(4648, [4648, 2324, 1162, 581, 1744, 872, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 4648,
      'J' = [2324, 1162, 581, 1744, 872, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 2324],
     [4648 > 1,
      0 is 4648 mod 2,
      2324 is 4648 // 2,
      collatz(2324, [2324, 1162, 581, 1744, 872, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(4648 > 1, builtin, [], []).
step(0 is 4648 mod 2, builtin, [], []).
step(2324 is 4648 // 2, builtin, [], []).
step(collatz(2324, [2324, 1162, 581, 1744, 872, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 2324,
      'J' = [1162, 581, 1744, 872, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1162],
     [2324 > 1,
      0 is 2324 mod 2,
      1162 is 2324 // 2,
      collatz(1162, [1162, 581, 1744, 872, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2324 > 1, builtin, [], []).
step(0 is 2324 mod 2, builtin, [], []).
step(1162 is 2324 // 2, builtin, [], []).
step(collatz(1162, [1162, 581, 1744, 872, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1162,
      'J' = [581, 1744, 872, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 581],
     [1162 > 1,
      0 is 1162 mod 2,
      581 is 1162 // 2,
      collatz(581, [581, 1744, 872, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1162 > 1, builtin, [], []).
step(0 is 1162 mod 2, builtin, [], []).
step(581 is 1162 // 2, builtin, [], []).
step(collatz(581, [581, 1744, 872, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 581,
      'J' = [1744, 872, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 1743,
      'N1' = 1744],
     [581 > 1,
      1 is 581 mod 2,
      1743 is 3 * 581,
      1744 is 1743 + 1,
      collatz(1744, [1744, 872, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(581 > 1, builtin, [], []).
step(1 is 581 mod 2, builtin, [], []).
step(1743 is 3 * 581, builtin, [], []).
step(1744 is 1743 + 1, builtin, [], []).
step(collatz(1744, [1744, 872, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1744,
      'J' = [872, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 872],
     [1744 > 1,
      0 is 1744 mod 2,
      872 is 1744 // 2,
      collatz(872, [872, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1744 > 1, builtin, [], []).
step(0 is 1744 mod 2, builtin, [], []).
step(872 is 1744 // 2, builtin, [], []).
step(collatzTrajectory(814, [814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 814,
      'M' = [814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 186],
     [repeat(1000, 186),
      814 is 1000 - 186,
      collatz(814, [814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 186),
     rule(3),
     ['N' = 1000, 'I' = 186, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 186)]).
step(between(0, 999, 186), builtin, [], []).
step(814 is 1000 - 186, builtin, [], []).
step(collatzTrajectory(813, [813, 2440, 1220, 610, 305, 916, 458, 229, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 813,
      'M' = [813, 2440, 1220, 610, 305, 916, 458, 229, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 187],
     [repeat(1000, 187),
      813 is 1000 - 187,
      collatz(813, [813, 2440, 1220, 610, 305, 916, 458, 229, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 187),
     rule(3),
     ['N' = 1000, 'I' = 187, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 187)]).
step(between(0, 999, 187), builtin, [], []).
step(813 is 1000 - 187, builtin, [], []).
step(collatz(813, [813, 2440, 1220, 610, 305, 916, 458, 229, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 813,
      'J' = [2440, 1220, 610, 305, 916, 458, 229, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 2439,
      'N1' = 2440],
     [813 > 1,
      1 is 813 mod 2,
      2439 is 3 * 813,
      2440 is 2439 + 1,
      collatz(2440, [2440, 1220, 610, 305, 916, 458, 229, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(813 > 1, builtin, [], []).
step(1 is 813 mod 2, builtin, [], []).
step(2439 is 3 * 813, builtin, [], []).
step(2440 is 2439 + 1, builtin, [], []).
step(collatz(2440, [2440, 1220, 610, 305, 916, 458, 229, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 2440,
      'J' = [1220, 610, 305, 916, 458, 229, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1220],
     [2440 > 1,
      0 is 2440 mod 2,
      1220 is 2440 // 2,
      collatz(1220, [1220, 610, 305, 916, 458, 229, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2440 > 1, builtin, [], []).
step(0 is 2440 mod 2, builtin, [], []).
step(1220 is 2440 // 2, builtin, [], []).
step(collatz(1220, [1220, 610, 305, 916, 458, 229, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1220,
      'J' = [610, 305, 916, 458, 229, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 610],
     [1220 > 1,
      0 is 1220 mod 2,
      610 is 1220 // 2,
      collatz(610, [610, 305, 916, 458, 229, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1220 > 1, builtin, [], []).
step(0 is 1220 mod 2, builtin, [], []).
step(610 is 1220 // 2, builtin, [], []).
step(collatzTrajectory(812, [812, 406, 203, 610, 305, 916, 458, 229, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 812,
      'M' = [812, 406, 203, 610, 305, 916, 458, 229, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 188],
     [repeat(1000, 188),
      812 is 1000 - 188,
      collatz(812, [812, 406, 203, 610, 305, 916, 458, 229, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 188),
     rule(3),
     ['N' = 1000, 'I' = 188, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 188)]).
step(between(0, 999, 188), builtin, [], []).
step(812 is 1000 - 188, builtin, [], []).
step(collatzTrajectory(811, [811, 2434, 1217, 3652, 1826, 913, 2740, 1370, 685, 2056, 1028, 514, 257, 772, 386, 193, 580, 290, 145, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 811,
      'M' = [811, 2434, 1217, 3652, 1826, 913, 2740, 1370, 685, 2056, 1028, 514, 257, 772, 386, 193, 580, 290, 145, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 189],
     [repeat(1000, 189),
      811 is 1000 - 189,
      collatz(811, [811, 2434, 1217, 3652, 1826, 913, 2740, 1370, 685, 2056, 1028, 514, 257, 772, 386, 193, 580, 290, 145, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 189),
     rule(3),
     ['N' = 1000, 'I' = 189, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 189)]).
step(between(0, 999, 189), builtin, [], []).
step(811 is 1000 - 189, builtin, [], []).
step(collatz(811, [811, 2434, 1217, 3652, 1826, 913, 2740, 1370, 685, 2056, 1028, 514, 257, 772, 386, 193, 580, 290, 145, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 811,
      'J' = [2434, 1217, 3652, 1826, 913, 2740, 1370, 685, 2056, 1028, 514, 257, 772, 386, 193, 580, 290, 145, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 2433,
      'N1' = 2434],
     [811 > 1,
      1 is 811 mod 2,
      2433 is 3 * 811,
      2434 is 2433 + 1,
      collatz(2434, [2434, 1217, 3652, 1826, 913, 2740, 1370, 685, 2056, 1028, 514, 257, 772, 386, 193, 580, 290, 145, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(811 > 1, builtin, [], []).
step(1 is 811 mod 2, builtin, [], []).
step(2433 is 3 * 811, builtin, [], []).
step(2434 is 2433 + 1, builtin, [], []).
step(collatz(2434, [2434, 1217, 3652, 1826, 913, 2740, 1370, 685, 2056, 1028, 514, 257, 772, 386, 193, 580, 290, 145, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 2434,
      'J' = [1217, 3652, 1826, 913, 2740, 1370, 685, 2056, 1028, 514, 257, 772, 386, 193, 580, 290, 145, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1217],
     [2434 > 1,
      0 is 2434 mod 2,
      1217 is 2434 // 2,
      collatz(1217, [1217, 3652, 1826, 913, 2740, 1370, 685, 2056, 1028, 514, 257, 772, 386, 193, 580, 290, 145, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2434 > 1, builtin, [], []).
step(0 is 2434 mod 2, builtin, [], []).
step(1217 is 2434 // 2, builtin, [], []).
step(collatz(1217, [1217, 3652, 1826, 913, 2740, 1370, 685, 2056, 1028, 514, 257, 772, 386, 193, 580, 290, 145, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 1217,
      'J' = [3652, 1826, 913, 2740, 1370, 685, 2056, 1028, 514, 257, 772, 386, 193, 580, 290, 145, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 3651,
      'N1' = 3652],
     [1217 > 1,
      1 is 1217 mod 2,
      3651 is 3 * 1217,
      3652 is 3651 + 1,
      collatz(3652, [3652, 1826, 913, 2740, 1370, 685, 2056, 1028, 514, 257, 772, 386, 193, 580, 290, 145, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1217 > 1, builtin, [], []).
step(1 is 1217 mod 2, builtin, [], []).
step(3651 is 3 * 1217, builtin, [], []).
step(3652 is 3651 + 1, builtin, [], []).
step(collatz(3652, [3652, 1826, 913, 2740, 1370, 685, 2056, 1028, 514, 257, 772, 386, 193, 580, 290, 145, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 3652,
      'J' = [1826, 913, 2740, 1370, 685, 2056, 1028, 514, 257, 772, 386, 193, 580, 290, 145, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1826],
     [3652 > 1,
      0 is 3652 mod 2,
      1826 is 3652 // 2,
      collatz(1826, [1826, 913, 2740, 1370, 685, 2056, 1028, 514, 257, 772, 386, 193, 580, 290, 145, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(3652 > 1, builtin, [], []).
step(0 is 3652 mod 2, builtin, [], []).
step(1826 is 3652 // 2, builtin, [], []).
step(collatz(1826, [1826, 913, 2740, 1370, 685, 2056, 1028, 514, 257, 772, 386, 193, 580, 290, 145, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1826,
      'J' = [913, 2740, 1370, 685, 2056, 1028, 514, 257, 772, 386, 193, 580, 290, 145, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 913],
     [1826 > 1,
      0 is 1826 mod 2,
      913 is 1826 // 2,
      collatz(913, [913, 2740, 1370, 685, 2056, 1028, 514, 257, 772, 386, 193, 580, 290, 145, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1826 > 1, builtin, [], []).
step(0 is 1826 mod 2, builtin, [], []).
step(913 is 1826 // 2, builtin, [], []).
step(collatzTrajectory(810, [810, 405, 1216, 608, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 810,
      'M' = [810, 405, 1216, 608, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 190],
     [repeat(1000, 190),
      810 is 1000 - 190,
      collatz(810, [810, 405, 1216, 608, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 190),
     rule(3),
     ['N' = 1000, 'I' = 190, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 190)]).
step(between(0, 999, 190), builtin, [], []).
step(810 is 1000 - 190, builtin, [], []).
step(collatz(810, [810, 405, 1216, 608, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 810,
      'J' = [405, 1216, 608, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 405],
     [810 > 1,
      0 is 810 mod 2,
      405 is 810 // 2,
      collatz(405, [405, 1216, 608, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(810 > 1, builtin, [], []).
step(0 is 810 mod 2, builtin, [], []).
step(405 is 810 // 2, builtin, [], []).
step(collatz(405, [405, 1216, 608, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 405,
      'J' = [1216, 608, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 1215,
      'N1' = 1216],
     [405 > 1,
      1 is 405 mod 2,
      1215 is 3 * 405,
      1216 is 1215 + 1,
      collatz(1216, [1216, 608, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(405 > 1, builtin, [], []).
step(1 is 405 mod 2, builtin, [], []).
step(1215 is 3 * 405, builtin, [], []).
step(1216 is 1215 + 1, builtin, [], []).
step(collatz(1216, [1216, 608, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1216,
      'J' = [608, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 608],
     [1216 > 1,
      0 is 1216 mod 2,
      608 is 1216 // 2,
      collatz(608, [608, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1216 > 1, builtin, [], []).
step(0 is 1216 mod 2, builtin, [], []).
step(608 is 1216 // 2, builtin, [], []).
step(collatz(608, [608, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 608,
      'J' = [304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 304],
     [608 > 1,
      0 is 608 mod 2,
      304 is 608 // 2,
      collatz(304, [304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(608 > 1, builtin, [], []).
step(0 is 608 mod 2, builtin, [], []).
step(304 is 608 // 2, builtin, [], []).
step(collatzTrajectory(809, [809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 809,
      'M' = [809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 191],
     [repeat(1000, 191),
      809 is 1000 - 191,
      collatz(809, [809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 191),
     rule(3),
     ['N' = 1000, 'I' = 191, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 191)]).
step(between(0, 999, 191), builtin, [], []).
step(809 is 1000 - 191, builtin, [], []).
step(collatzTrajectory(808, [808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 808,
      'M' = [808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 192],
     [repeat(1000, 192),
      808 is 1000 - 192,
      collatz(808, [808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 192),
     rule(3),
     ['N' = 1000, 'I' = 192, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 192)]).
step(between(0, 999, 192), builtin, [], []).
step(808 is 1000 - 192, builtin, [], []).
step(collatzTrajectory(807, [807, 2422, 1211, 3634, 1817, 5452, 2726, 1363, 4090, 2045, 6136, 3068, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 807,
      'M' = [807, 2422, 1211, 3634, 1817, 5452, 2726, 1363, 4090, 2045, 6136, 3068, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 193],
     [repeat(1000, 193),
      807 is 1000 - 193,
      collatz(807, [807, 2422, 1211, 3634, 1817, 5452, 2726, 1363, 4090, 2045, 6136, 3068, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 193),
     rule(3),
     ['N' = 1000, 'I' = 193, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 193)]).
step(between(0, 999, 193), builtin, [], []).
step(807 is 1000 - 193, builtin, [], []).
step(collatz(807, [807, 2422, 1211, 3634, 1817, 5452, 2726, 1363, 4090, 2045, 6136, 3068, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 807,
      'J' = [2422, 1211, 3634, 1817, 5452, 2726, 1363, 4090, 2045, 6136, 3068, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 2421,
      'N1' = 2422],
     [807 > 1,
      1 is 807 mod 2,
      2421 is 3 * 807,
      2422 is 2421 + 1,
      collatz(2422, [2422, 1211, 3634, 1817, 5452, 2726, 1363, 4090, 2045, 6136, 3068, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(807 > 1, builtin, [], []).
step(1 is 807 mod 2, builtin, [], []).
step(2421 is 3 * 807, builtin, [], []).
step(2422 is 2421 + 1, builtin, [], []).
step(collatz(2422, [2422, 1211, 3634, 1817, 5452, 2726, 1363, 4090, 2045, 6136, 3068, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 2422,
      'J' = [1211, 3634, 1817, 5452, 2726, 1363, 4090, 2045, 6136, 3068, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1211],
     [2422 > 1,
      0 is 2422 mod 2,
      1211 is 2422 // 2,
      collatz(1211, [1211, 3634, 1817, 5452, 2726, 1363, 4090, 2045, 6136, 3068, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2422 > 1, builtin, [], []).
step(0 is 2422 mod 2, builtin, [], []).
step(1211 is 2422 // 2, builtin, [], []).
step(collatz(1211, [1211, 3634, 1817, 5452, 2726, 1363, 4090, 2045, 6136, 3068, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 1211,
      'J' = [3634, 1817, 5452, 2726, 1363, 4090, 2045, 6136, 3068, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 3633,
      'N1' = 3634],
     [1211 > 1,
      1 is 1211 mod 2,
      3633 is 3 * 1211,
      3634 is 3633 + 1,
      collatz(3634, [3634, 1817, 5452, 2726, 1363, 4090, 2045, 6136, 3068, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1211 > 1, builtin, [], []).
step(1 is 1211 mod 2, builtin, [], []).
step(3633 is 3 * 1211, builtin, [], []).
step(3634 is 3633 + 1, builtin, [], []).
step(collatz(3634, [3634, 1817, 5452, 2726, 1363, 4090, 2045, 6136, 3068, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 3634,
      'J' = [1817, 5452, 2726, 1363, 4090, 2045, 6136, 3068, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1817],
     [3634 > 1,
      0 is 3634 mod 2,
      1817 is 3634 // 2,
      collatz(1817, [1817, 5452, 2726, 1363, 4090, 2045, 6136, 3068, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(3634 > 1, builtin, [], []).
step(0 is 3634 mod 2, builtin, [], []).
step(1817 is 3634 // 2, builtin, [], []).
step(collatz(1817, [1817, 5452, 2726, 1363, 4090, 2045, 6136, 3068, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 1817,
      'J' = [5452, 2726, 1363, 4090, 2045, 6136, 3068, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 5451,
      'N1' = 5452],
     [1817 > 1,
      1 is 1817 mod 2,
      5451 is 3 * 1817,
      5452 is 5451 + 1,
      collatz(5452, [5452, 2726, 1363, 4090, 2045, 6136, 3068, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1817 > 1, builtin, [], []).
step(1 is 1817 mod 2, builtin, [], []).
step(5451 is 3 * 1817, builtin, [], []).
step(5452 is 5451 + 1, builtin, [], []).
step(collatz(5452, [5452, 2726, 1363, 4090, 2045, 6136, 3068, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 5452,
      'J' = [2726, 1363, 4090, 2045, 6136, 3068, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 2726],
     [5452 > 1,
      0 is 5452 mod 2,
      2726 is 5452 // 2,
      collatz(2726, [2726, 1363, 4090, 2045, 6136, 3068, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(5452 > 1, builtin, [], []).
step(0 is 5452 mod 2, builtin, [], []).
step(2726 is 5452 // 2, builtin, [], []).
step(collatz(2726, [2726, 1363, 4090, 2045, 6136, 3068, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 2726,
      'J' = [1363, 4090, 2045, 6136, 3068, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1363],
     [2726 > 1,
      0 is 2726 mod 2,
      1363 is 2726 // 2,
      collatz(1363, [1363, 4090, 2045, 6136, 3068, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2726 > 1, builtin, [], []).
step(0 is 2726 mod 2, builtin, [], []).
step(1363 is 2726 // 2, builtin, [], []).
step(collatz(1363, [1363, 4090, 2045, 6136, 3068, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 1363,
      'J' = [4090, 2045, 6136, 3068, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 4089,
      'N1' = 4090],
     [1363 > 1,
      1 is 1363 mod 2,
      4089 is 3 * 1363,
      4090 is 4089 + 1,
      collatz(4090, [4090, 2045, 6136, 3068, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1363 > 1, builtin, [], []).
step(1 is 1363 mod 2, builtin, [], []).
step(4089 is 3 * 1363, builtin, [], []).
step(4090 is 4089 + 1, builtin, [], []).
step(collatzTrajectory(806, [806, 403, 1210, 605, 1816, 908, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 806,
      'M' = [806, 403, 1210, 605, 1816, 908, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1],
      'N0' = 194],
     [repeat(1000, 194),
      806 is 1000 - 194,
      collatz(806, [806, 403, 1210, 605, 1816, 908, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1])]).
step(repeat(1000, 194),
     rule(3),
     ['N' = 1000, 'I' = 194, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 194)]).
step(between(0, 999, 194), builtin, [], []).
step(806 is 1000 - 194, builtin, [], []).
step(collatz(806, [806, 403, 1210, 605, 1816, 908, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 806,
      'J' = [403, 1210, 605, 1816, 908, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1],
      'N1' = 403],
     [806 > 1,
      0 is 806 mod 2,
      403 is 806 // 2,
      collatz(403, [403, 1210, 605, 1816, 908, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1])]).
step(806 > 1, builtin, [], []).
step(0 is 806 mod 2, builtin, [], []).
step(403 is 806 // 2, builtin, [], []).
step(collatz(403, [403, 1210, 605, 1816, 908, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 403,
      'J' = [1210, 605, 1816, 908, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1],
      'T' = 1209,
      'N1' = 1210],
     [403 > 1,
      1 is 403 mod 2,
      1209 is 3 * 403,
      1210 is 1209 + 1,
      collatz(1210, [1210, 605, 1816, 908, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1])]).
step(403 > 1, builtin, [], []).
step(1 is 403 mod 2, builtin, [], []).
step(1209 is 3 * 403, builtin, [], []).
step(1210 is 1209 + 1, builtin, [], []).
step(collatzTrajectory(805, [805, 2416, 1208, 604, 302, 151, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 805,
      'M' = [805, 2416, 1208, 604, 302, 151, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1],
      'N0' = 195],
     [repeat(1000, 195),
      805 is 1000 - 195,
      collatz(805, [805, 2416, 1208, 604, 302, 151, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1])]).
step(repeat(1000, 195),
     rule(3),
     ['N' = 1000, 'I' = 195, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 195)]).
step(between(0, 999, 195), builtin, [], []).
step(805 is 1000 - 195, builtin, [], []).
step(collatzTrajectory(804, [804, 402, 201, 604, 302, 151, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 804,
      'M' = [804, 402, 201, 604, 302, 151, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1],
      'N0' = 196],
     [repeat(1000, 196),
      804 is 1000 - 196,
      collatz(804, [804, 402, 201, 604, 302, 151, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1])]).
step(repeat(1000, 196),
     rule(3),
     ['N' = 1000, 'I' = 196, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 196)]).
step(between(0, 999, 196), builtin, [], []).
step(804 is 1000 - 196, builtin, [], []).
step(collatz(804, [804, 402, 201, 604, 302, 151, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 804,
      'J' = [402, 201, 604, 302, 151, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1],
      'N1' = 402],
     [804 > 1,
      0 is 804 mod 2,
      402 is 804 // 2,
      collatz(402, [402, 201, 604, 302, 151, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1])]).
step(804 > 1, builtin, [], []).
step(0 is 804 mod 2, builtin, [], []).
step(402 is 804 // 2, builtin, [], []).
step(collatz(402, [402, 201, 604, 302, 151, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 402,
      'J' = [201, 604, 302, 151, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1],
      'N1' = 201],
     [402 > 1,
      0 is 402 mod 2,
      201 is 402 // 2,
      collatz(201, [201, 604, 302, 151, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1])]).
step(402 > 1, builtin, [], []).
step(0 is 402 mod 2, builtin, [], []).
step(201 is 402 // 2, builtin, [], []).
step(collatz(201, [201, 604, 302, 151, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 201,
      'J' = [604, 302, 151, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1],
      'T' = 603,
      'N1' = 604],
     [201 > 1,
      1 is 201 mod 2,
      603 is 3 * 201,
      604 is 603 + 1,
      collatz(604, [604, 302, 151, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1])]).
step(201 > 1, builtin, [], []).
step(1 is 201 mod 2, builtin, [], []).
step(603 is 3 * 201, builtin, [], []).
step(604 is 603 + 1, builtin, [], []).
step(collatzTrajectory(803, [803, 2410, 1205, 3616, 1808, 904, 452, 226, 113, 340, 170, 85, 256, 128, 64, 32, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 803,
      'M' = [803, 2410, 1205, 3616, 1808, 904, 452, 226, 113, 340, 170, 85, 256, 128, 64, 32, 16, 8, 4, 2, 1],
      'N0' = 197],
     [repeat(1000, 197),
      803 is 1000 - 197,
      collatz(803, [803, 2410, 1205, 3616, 1808, 904, 452, 226, 113, 340, 170, 85, 256, 128, 64, 32, 16, 8, 4, 2, 1])]).
step(repeat(1000, 197),
     rule(3),
     ['N' = 1000, 'I' = 197, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 197)]).
step(between(0, 999, 197), builtin, [], []).
step(803 is 1000 - 197, builtin, [], []).
step(collatzTrajectory(802, [802, 401, 1204, 602, 301, 904, 452, 226, 113, 340, 170, 85, 256, 128, 64, 32, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 802,
      'M' = [802, 401, 1204, 602, 301, 904, 452, 226, 113, 340, 170, 85, 256, 128, 64, 32, 16, 8, 4, 2, 1],
      'N0' = 198],
     [repeat(1000, 198),
      802 is 1000 - 198,
      collatz(802, [802, 401, 1204, 602, 301, 904, 452, 226, 113, 340, 170, 85, 256, 128, 64, 32, 16, 8, 4, 2, 1])]).
step(repeat(1000, 198),
     rule(3),
     ['N' = 1000, 'I' = 198, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 198)]).
step(between(0, 999, 198), builtin, [], []).
step(802 is 1000 - 198, builtin, [], []).
step(collatz(802, [802, 401, 1204, 602, 301, 904, 452, 226, 113, 340, 170, 85, 256, 128, 64, 32, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 802,
      'J' = [401, 1204, 602, 301, 904, 452, 226, 113, 340, 170, 85, 256, 128, 64, 32, 16, 8, 4, 2, 1],
      'N1' = 401],
     [802 > 1,
      0 is 802 mod 2,
      401 is 802 // 2,
      collatz(401, [401, 1204, 602, 301, 904, 452, 226, 113, 340, 170, 85, 256, 128, 64, 32, 16, 8, 4, 2, 1])]).
step(802 > 1, builtin, [], []).
step(0 is 802 mod 2, builtin, [], []).
step(401 is 802 // 2, builtin, [], []).
step(collatz(401, [401, 1204, 602, 301, 904, 452, 226, 113, 340, 170, 85, 256, 128, 64, 32, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 401,
      'J' = [1204, 602, 301, 904, 452, 226, 113, 340, 170, 85, 256, 128, 64, 32, 16, 8, 4, 2, 1],
      'T' = 1203,
      'N1' = 1204],
     [401 > 1,
      1 is 401 mod 2,
      1203 is 3 * 401,
      1204 is 1203 + 1,
      collatz(1204, [1204, 602, 301, 904, 452, 226, 113, 340, 170, 85, 256, 128, 64, 32, 16, 8, 4, 2, 1])]).
step(401 > 1, builtin, [], []).
step(1 is 401 mod 2, builtin, [], []).
step(1203 is 3 * 401, builtin, [], []).
step(1204 is 1203 + 1, builtin, [], []).
step(collatz(1204, [1204, 602, 301, 904, 452, 226, 113, 340, 170, 85, 256, 128, 64, 32, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1204,
      'J' = [602, 301, 904, 452, 226, 113, 340, 170, 85, 256, 128, 64, 32, 16, 8, 4, 2, 1],
      'N1' = 602],
     [1204 > 1,
      0 is 1204 mod 2,
      602 is 1204 // 2,
      collatz(602, [602, 301, 904, 452, 226, 113, 340, 170, 85, 256, 128, 64, 32, 16, 8, 4, 2, 1])]).
step(1204 > 1, builtin, [], []).
step(0 is 1204 mod 2, builtin, [], []).
step(602 is 1204 // 2, builtin, [], []).
step(collatz(602, [602, 301, 904, 452, 226, 113, 340, 170, 85, 256, 128, 64, 32, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 602,
      'J' = [301, 904, 452, 226, 113, 340, 170, 85, 256, 128, 64, 32, 16, 8, 4, 2, 1],
      'N1' = 301],
     [602 > 1,
      0 is 602 mod 2,
      301 is 602 // 2,
      collatz(301, [301, 904, 452, 226, 113, 340, 170, 85, 256, 128, 64, 32, 16, 8, 4, 2, 1])]).
step(602 > 1, builtin, [], []).
step(0 is 602 mod 2, builtin, [], []).
step(301 is 602 // 2, builtin, [], []).
step(collatz(301, [301, 904, 452, 226, 113, 340, 170, 85, 256, 128, 64, 32, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 301,
      'J' = [904, 452, 226, 113, 340, 170, 85, 256, 128, 64, 32, 16, 8, 4, 2, 1],
      'T' = 903,
      'N1' = 904],
     [301 > 1,
      1 is 301 mod 2,
      903 is 3 * 301,
      904 is 903 + 1,
      collatz(904, [904, 452, 226, 113, 340, 170, 85, 256, 128, 64, 32, 16, 8, 4, 2, 1])]).
step(301 > 1, builtin, [], []).
step(1 is 301 mod 2, builtin, [], []).
step(903 is 3 * 301, builtin, [], []).
step(904 is 903 + 1, builtin, [], []).
step(collatzTrajectory(801, [801, 2404, 1202, 601, 1804, 902, 451, 1354, 677, 2032, 1016, 508, 254, 127, 382, 191, 574, 287, 862, 431, 1294, 647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 801,
      'M' = [801, 2404, 1202, 601, 1804, 902, 451, 1354, 677, 2032, 1016, 508, 254, 127, 382, 191, 574, 287, 862, 431, 1294, 647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 199],
     [repeat(1000, 199),
      801 is 1000 - 199,
      collatz(801, [801, 2404, 1202, 601, 1804, 902, 451, 1354, 677, 2032, 1016, 508, 254, 127, 382, 191, 574, 287, 862, 431, 1294, 647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 199),
     rule(3),
     ['N' = 1000, 'I' = 199, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 199)]).
step(between(0, 999, 199), builtin, [], []).
step(801 is 1000 - 199, builtin, [], []).
step(collatz(801, [801, 2404, 1202, 601, 1804, 902, 451, 1354, 677, 2032, 1016, 508, 254, 127, 382, 191, 574, 287, 862, 431, 1294, 647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 801,
      'J' = [2404, 1202, 601, 1804, 902, 451, 1354, 677, 2032, 1016, 508, 254, 127, 382, 191, 574, 287, 862, 431, 1294, 647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 2403,
      'N1' = 2404],
     [801 > 1,
      1 is 801 mod 2,
      2403 is 3 * 801,
      2404 is 2403 + 1,
      collatz(2404, [2404, 1202, 601, 1804, 902, 451, 1354, 677, 2032, 1016, 508, 254, 127, 382, 191, 574, 287, 862, 431, 1294, 647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(801 > 1, builtin, [], []).
step(1 is 801 mod 2, builtin, [], []).
step(2403 is 3 * 801, builtin, [], []).
step(2404 is 2403 + 1, builtin, [], []).
step(collatz(2404, [2404, 1202, 601, 1804, 902, 451, 1354, 677, 2032, 1016, 508, 254, 127, 382, 191, 574, 287, 862, 431, 1294, 647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 2404,
      'J' = [1202, 601, 1804, 902, 451, 1354, 677, 2032, 1016, 508, 254, 127, 382, 191, 574, 287, 862, 431, 1294, 647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1202],
     [2404 > 1,
      0 is 2404 mod 2,
      1202 is 2404 // 2,
      collatz(1202, [1202, 601, 1804, 902, 451, 1354, 677, 2032, 1016, 508, 254, 127, 382, 191, 574, 287, 862, 431, 1294, 647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2404 > 1, builtin, [], []).
step(0 is 2404 mod 2, builtin, [], []).
step(1202 is 2404 // 2, builtin, [], []).
step(collatz(1202, [1202, 601, 1804, 902, 451, 1354, 677, 2032, 1016, 508, 254, 127, 382, 191, 574, 287, 862, 431, 1294, 647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1202,
      'J' = [601, 1804, 902, 451, 1354, 677, 2032, 1016, 508, 254, 127, 382, 191, 574, 287, 862, 431, 1294, 647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 601],
     [1202 > 1,
      0 is 1202 mod 2,
      601 is 1202 // 2,
      collatz(601, [601, 1804, 902, 451, 1354, 677, 2032, 1016, 508, 254, 127, 382, 191, 574, 287, 862, 431, 1294, 647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1202 > 1, builtin, [], []).
step(0 is 1202 mod 2, builtin, [], []).
step(601 is 1202 // 2, builtin, [], []).
step(collatz(601, [601, 1804, 902, 451, 1354, 677, 2032, 1016, 508, 254, 127, 382, 191, 574, 287, 862, 431, 1294, 647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 601,
      'J' = [1804, 902, 451, 1354, 677, 2032, 1016, 508, 254, 127, 382, 191, 574, 287, 862, 431, 1294, 647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 1803,
      'N1' = 1804],
     [601 > 1,
      1 is 601 mod 2,
      1803 is 3 * 601,
      1804 is 1803 + 1,
      collatz(1804, [1804, 902, 451, 1354, 677, 2032, 1016, 508, 254, 127, 382, 191, 574, 287, 862, 431, 1294, 647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(601 > 1, builtin, [], []).
step(1 is 601 mod 2, builtin, [], []).
step(1803 is 3 * 601, builtin, [], []).
step(1804 is 1803 + 1, builtin, [], []).
step(collatz(1804, [1804, 902, 451, 1354, 677, 2032, 1016, 508, 254, 127, 382, 191, 574, 287, 862, 431, 1294, 647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1804,
      'J' = [902, 451, 1354, 677, 2032, 1016, 508, 254, 127, 382, 191, 574, 287, 862, 431, 1294, 647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 902],
     [1804 > 1,
      0 is 1804 mod 2,
      902 is 1804 // 2,
      collatz(902, [902, 451, 1354, 677, 2032, 1016, 508, 254, 127, 382, 191, 574, 287, 862, 431, 1294, 647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1804 > 1, builtin, [], []).
step(0 is 1804 mod 2, builtin, [], []).
step(902 is 1804 // 2, builtin, [], []).
step(collatzTrajectory(800, [800, 400, 200, 100, 50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 800,
      'M' = [800, 400, 200, 100, 50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 200],
     [repeat(1000, 200),
      800 is 1000 - 200,
      collatz(800, [800, 400, 200, 100, 50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 200),
     rule(3),
     ['N' = 1000, 'I' = 200, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 200)]).
step(between(0, 999, 200), builtin, [], []).
step(800 is 1000 - 200, builtin, [], []).
step(collatzTrajectory(799, [799, 2398, 1199, 3598, 1799, 5398, 2699, 8098, 4049, 12148, 6074, 3037, 9112, 4556, 2278, 1139, 3418, 1709, 5128, 2564, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 799,
      'M' = [799, 2398, 1199, 3598, 1799, 5398, 2699, 8098, 4049, 12148, 6074, 3037, 9112, 4556, 2278, 1139, 3418, 1709, 5128, 2564, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 201],
     [repeat(1000, 201),
      799 is 1000 - 201,
      collatz(799, [799, 2398, 1199, 3598, 1799, 5398, 2699, 8098, 4049, 12148, 6074, 3037, 9112, 4556, 2278, 1139, 3418, 1709, 5128, 2564, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 201),
     rule(3),
     ['N' = 1000, 'I' = 201, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 201)]).
step(between(0, 999, 201), builtin, [], []).
step(799 is 1000 - 201, builtin, [], []).
step(collatz(799, [799, 2398, 1199, 3598, 1799, 5398, 2699, 8098, 4049, 12148, 6074, 3037, 9112, 4556, 2278, 1139, 3418, 1709, 5128, 2564, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 799,
      'J' = [2398, 1199, 3598, 1799, 5398, 2699, 8098, 4049, 12148, 6074, 3037, 9112, 4556, 2278, 1139, 3418, 1709, 5128, 2564, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 2397,
      'N1' = 2398],
     [799 > 1,
      1 is 799 mod 2,
      2397 is 3 * 799,
      2398 is 2397 + 1,
      collatz(2398, [2398, 1199, 3598, 1799, 5398, 2699, 8098, 4049, 12148, 6074, 3037, 9112, 4556, 2278, 1139, 3418, 1709, 5128, 2564, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(799 > 1, builtin, [], []).
step(1 is 799 mod 2, builtin, [], []).
step(2397 is 3 * 799, builtin, [], []).
step(2398 is 2397 + 1, builtin, [], []).
step(collatz(2398, [2398, 1199, 3598, 1799, 5398, 2699, 8098, 4049, 12148, 6074, 3037, 9112, 4556, 2278, 1139, 3418, 1709, 5128, 2564, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 2398,
      'J' = [1199, 3598, 1799, 5398, 2699, 8098, 4049, 12148, 6074, 3037, 9112, 4556, 2278, 1139, 3418, 1709, 5128, 2564, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1199],
     [2398 > 1,
      0 is 2398 mod 2,
      1199 is 2398 // 2,
      collatz(1199, [1199, 3598, 1799, 5398, 2699, 8098, 4049, 12148, 6074, 3037, 9112, 4556, 2278, 1139, 3418, 1709, 5128, 2564, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2398 > 1, builtin, [], []).
step(0 is 2398 mod 2, builtin, [], []).
step(1199 is 2398 // 2, builtin, [], []).
step(collatz(1199, [1199, 3598, 1799, 5398, 2699, 8098, 4049, 12148, 6074, 3037, 9112, 4556, 2278, 1139, 3418, 1709, 5128, 2564, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 1199,
      'J' = [3598, 1799, 5398, 2699, 8098, 4049, 12148, 6074, 3037, 9112, 4556, 2278, 1139, 3418, 1709, 5128, 2564, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 3597,
      'N1' = 3598],
     [1199 > 1,
      1 is 1199 mod 2,
      3597 is 3 * 1199,
      3598 is 3597 + 1,
      collatz(3598, [3598, 1799, 5398, 2699, 8098, 4049, 12148, 6074, 3037, 9112, 4556, 2278, 1139, 3418, 1709, 5128, 2564, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1199 > 1, builtin, [], []).
step(1 is 1199 mod 2, builtin, [], []).
step(3597 is 3 * 1199, builtin, [], []).
step(3598 is 3597 + 1, builtin, [], []).
step(collatz(3598, [3598, 1799, 5398, 2699, 8098, 4049, 12148, 6074, 3037, 9112, 4556, 2278, 1139, 3418, 1709, 5128, 2564, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 3598,
      'J' = [1799, 5398, 2699, 8098, 4049, 12148, 6074, 3037, 9112, 4556, 2278, 1139, 3418, 1709, 5128, 2564, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1799],
     [3598 > 1,
      0 is 3598 mod 2,
      1799 is 3598 // 2,
      collatz(1799, [1799, 5398, 2699, 8098, 4049, 12148, 6074, 3037, 9112, 4556, 2278, 1139, 3418, 1709, 5128, 2564, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(3598 > 1, builtin, [], []).
step(0 is 3598 mod 2, builtin, [], []).
step(1799 is 3598 // 2, builtin, [], []).
step(collatz(1799, [1799, 5398, 2699, 8098, 4049, 12148, 6074, 3037, 9112, 4556, 2278, 1139, 3418, 1709, 5128, 2564, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 1799,
      'J' = [5398, 2699, 8098, 4049, 12148, 6074, 3037, 9112, 4556, 2278, 1139, 3418, 1709, 5128, 2564, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 5397,
      'N1' = 5398],
     [1799 > 1,
      1 is 1799 mod 2,
      5397 is 3 * 1799,
      5398 is 5397 + 1,
      collatz(5398, [5398, 2699, 8098, 4049, 12148, 6074, 3037, 9112, 4556, 2278, 1139, 3418, 1709, 5128, 2564, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1799 > 1, builtin, [], []).
step(1 is 1799 mod 2, builtin, [], []).
step(5397 is 3 * 1799, builtin, [], []).
step(5398 is 5397 + 1, builtin, [], []).
step(collatz(5398, [5398, 2699, 8098, 4049, 12148, 6074, 3037, 9112, 4556, 2278, 1139, 3418, 1709, 5128, 2564, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 5398,
      'J' = [2699, 8098, 4049, 12148, 6074, 3037, 9112, 4556, 2278, 1139, 3418, 1709, 5128, 2564, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 2699],
     [5398 > 1,
      0 is 5398 mod 2,
      2699 is 5398 // 2,
      collatz(2699, [2699, 8098, 4049, 12148, 6074, 3037, 9112, 4556, 2278, 1139, 3418, 1709, 5128, 2564, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(5398 > 1, builtin, [], []).
step(0 is 5398 mod 2, builtin, [], []).
step(2699 is 5398 // 2, builtin, [], []).
step(collatz(2699, [2699, 8098, 4049, 12148, 6074, 3037, 9112, 4556, 2278, 1139, 3418, 1709, 5128, 2564, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 2699,
      'J' = [8098, 4049, 12148, 6074, 3037, 9112, 4556, 2278, 1139, 3418, 1709, 5128, 2564, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 8097,
      'N1' = 8098],
     [2699 > 1,
      1 is 2699 mod 2,
      8097 is 3 * 2699,
      8098 is 8097 + 1,
      collatz(8098, [8098, 4049, 12148, 6074, 3037, 9112, 4556, 2278, 1139, 3418, 1709, 5128, 2564, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2699 > 1, builtin, [], []).
step(1 is 2699 mod 2, builtin, [], []).
step(8097 is 3 * 2699, builtin, [], []).
step(8098 is 8097 + 1, builtin, [], []).
step(collatz(8098, [8098, 4049, 12148, 6074, 3037, 9112, 4556, 2278, 1139, 3418, 1709, 5128, 2564, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 8098,
      'J' = [4049, 12148, 6074, 3037, 9112, 4556, 2278, 1139, 3418, 1709, 5128, 2564, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 4049],
     [8098 > 1,
      0 is 8098 mod 2,
      4049 is 8098 // 2,
      collatz(4049, [4049, 12148, 6074, 3037, 9112, 4556, 2278, 1139, 3418, 1709, 5128, 2564, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(8098 > 1, builtin, [], []).
step(0 is 8098 mod 2, builtin, [], []).
step(4049 is 8098 // 2, builtin, [], []).
step(collatz(4049, [4049, 12148, 6074, 3037, 9112, 4556, 2278, 1139, 3418, 1709, 5128, 2564, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 4049,
      'J' = [12148, 6074, 3037, 9112, 4556, 2278, 1139, 3418, 1709, 5128, 2564, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 12147,
      'N1' = 12148],
     [4049 > 1,
      1 is 4049 mod 2,
      12147 is 3 * 4049,
      12148 is 12147 + 1,
      collatz(12148, [12148, 6074, 3037, 9112, 4556, 2278, 1139, 3418, 1709, 5128, 2564, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(4049 > 1, builtin, [], []).
step(1 is 4049 mod 2, builtin, [], []).
step(12147 is 3 * 4049, builtin, [], []).
step(12148 is 12147 + 1, builtin, [], []).
step(collatz(12148, [12148, 6074, 3037, 9112, 4556, 2278, 1139, 3418, 1709, 5128, 2564, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 12148,
      'J' = [6074, 3037, 9112, 4556, 2278, 1139, 3418, 1709, 5128, 2564, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 6074],
     [12148 > 1,
      0 is 12148 mod 2,
      6074 is 12148 // 2,
      collatz(6074, [6074, 3037, 9112, 4556, 2278, 1139, 3418, 1709, 5128, 2564, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(12148 > 1, builtin, [], []).
step(0 is 12148 mod 2, builtin, [], []).
step(6074 is 12148 // 2, builtin, [], []).
step(collatz(6074, [6074, 3037, 9112, 4556, 2278, 1139, 3418, 1709, 5128, 2564, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 6074,
      'J' = [3037, 9112, 4556, 2278, 1139, 3418, 1709, 5128, 2564, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 3037],
     [6074 > 1,
      0 is 6074 mod 2,
      3037 is 6074 // 2,
      collatz(3037, [3037, 9112, 4556, 2278, 1139, 3418, 1709, 5128, 2564, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(6074 > 1, builtin, [], []).
step(0 is 6074 mod 2, builtin, [], []).
step(3037 is 6074 // 2, builtin, [], []).
step(collatz(3037, [3037, 9112, 4556, 2278, 1139, 3418, 1709, 5128, 2564, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 3037,
      'J' = [9112, 4556, 2278, 1139, 3418, 1709, 5128, 2564, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 9111,
      'N1' = 9112],
     [3037 > 1,
      1 is 3037 mod 2,
      9111 is 3 * 3037,
      9112 is 9111 + 1,
      collatz(9112, [9112, 4556, 2278, 1139, 3418, 1709, 5128, 2564, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(3037 > 1, builtin, [], []).
step(1 is 3037 mod 2, builtin, [], []).
step(9111 is 3 * 3037, builtin, [], []).
step(9112 is 9111 + 1, builtin, [], []).
step(collatz(9112, [9112, 4556, 2278, 1139, 3418, 1709, 5128, 2564, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 9112,
      'J' = [4556, 2278, 1139, 3418, 1709, 5128, 2564, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 4556],
     [9112 > 1,
      0 is 9112 mod 2,
      4556 is 9112 // 2,
      collatz(4556, [4556, 2278, 1139, 3418, 1709, 5128, 2564, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(9112 > 1, builtin, [], []).
step(0 is 9112 mod 2, builtin, [], []).
step(4556 is 9112 // 2, builtin, [], []).
step(collatz(4556, [4556, 2278, 1139, 3418, 1709, 5128, 2564, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 4556,
      'J' = [2278, 1139, 3418, 1709, 5128, 2564, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 2278],
     [4556 > 1,
      0 is 4556 mod 2,
      2278 is 4556 // 2,
      collatz(2278, [2278, 1139, 3418, 1709, 5128, 2564, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(4556 > 1, builtin, [], []).
step(0 is 4556 mod 2, builtin, [], []).
step(2278 is 4556 // 2, builtin, [], []).
step(collatz(2278, [2278, 1139, 3418, 1709, 5128, 2564, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 2278,
      'J' = [1139, 3418, 1709, 5128, 2564, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1139],
     [2278 > 1,
      0 is 2278 mod 2,
      1139 is 2278 // 2,
      collatz(1139, [1139, 3418, 1709, 5128, 2564, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2278 > 1, builtin, [], []).
step(0 is 2278 mod 2, builtin, [], []).
step(1139 is 2278 // 2, builtin, [], []).
step(collatz(1139, [1139, 3418, 1709, 5128, 2564, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 1139,
      'J' = [3418, 1709, 5128, 2564, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 3417,
      'N1' = 3418],
     [1139 > 1,
      1 is 1139 mod 2,
      3417 is 3 * 1139,
      3418 is 3417 + 1,
      collatz(3418, [3418, 1709, 5128, 2564, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1139 > 1, builtin, [], []).
step(1 is 1139 mod 2, builtin, [], []).
step(3417 is 3 * 1139, builtin, [], []).
step(3418 is 3417 + 1, builtin, [], []).
step(collatz(3418, [3418, 1709, 5128, 2564, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 3418,
      'J' = [1709, 5128, 2564, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1709],
     [3418 > 1,
      0 is 3418 mod 2,
      1709 is 3418 // 2,
      collatz(1709, [1709, 5128, 2564, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(3418 > 1, builtin, [], []).
step(0 is 3418 mod 2, builtin, [], []).
step(1709 is 3418 // 2, builtin, [], []).
step(collatz(1709, [1709, 5128, 2564, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 1709,
      'J' = [5128, 2564, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 5127,
      'N1' = 5128],
     [1709 > 1,
      1 is 1709 mod 2,
      5127 is 3 * 1709,
      5128 is 5127 + 1,
      collatz(5128, [5128, 2564, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1709 > 1, builtin, [], []).
step(1 is 1709 mod 2, builtin, [], []).
step(5127 is 3 * 1709, builtin, [], []).
step(5128 is 5127 + 1, builtin, [], []).
step(collatz(5128, [5128, 2564, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 5128,
      'J' = [2564, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 2564],
     [5128 > 1,
      0 is 5128 mod 2,
      2564 is 5128 // 2,
      collatz(2564, [2564, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(5128 > 1, builtin, [], []).
step(0 is 5128 mod 2, builtin, [], []).
step(2564 is 5128 // 2, builtin, [], []).
step(collatz(2564, [2564, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 2564,
      'J' = [1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1282],
     [2564 > 1,
      0 is 2564 mod 2,
      1282 is 2564 // 2,
      collatz(1282, [1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2564 > 1, builtin, [], []).
step(0 is 2564 mod 2, builtin, [], []).
step(1282 is 2564 // 2, builtin, [], []).
step(collatzTrajectory(798, [798, 399, 1198, 599, 1798, 899, 2698, 1349, 4048, 2024, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 798,
      'M' = [798, 399, 1198, 599, 1798, 899, 2698, 1349, 4048, 2024, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 202],
     [repeat(1000, 202),
      798 is 1000 - 202,
      collatz(798, [798, 399, 1198, 599, 1798, 899, 2698, 1349, 4048, 2024, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 202),
     rule(3),
     ['N' = 1000, 'I' = 202, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 202)]).
step(between(0, 999, 202), builtin, [], []).
step(798 is 1000 - 202, builtin, [], []).
step(collatz(798, [798, 399, 1198, 599, 1798, 899, 2698, 1349, 4048, 2024, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 798,
      'J' = [399, 1198, 599, 1798, 899, 2698, 1349, 4048, 2024, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 399],
     [798 > 1,
      0 is 798 mod 2,
      399 is 798 // 2,
      collatz(399, [399, 1198, 599, 1798, 899, 2698, 1349, 4048, 2024, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(798 > 1, builtin, [], []).
step(0 is 798 mod 2, builtin, [], []).
step(399 is 798 // 2, builtin, [], []).
step(collatz(399, [399, 1198, 599, 1798, 899, 2698, 1349, 4048, 2024, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 399,
      'J' = [1198, 599, 1798, 899, 2698, 1349, 4048, 2024, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 1197,
      'N1' = 1198],
     [399 > 1,
      1 is 399 mod 2,
      1197 is 3 * 399,
      1198 is 1197 + 1,
      collatz(1198, [1198, 599, 1798, 899, 2698, 1349, 4048, 2024, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(399 > 1, builtin, [], []).
step(1 is 399 mod 2, builtin, [], []).
step(1197 is 3 * 399, builtin, [], []).
step(1198 is 1197 + 1, builtin, [], []).
step(collatz(1198, [1198, 599, 1798, 899, 2698, 1349, 4048, 2024, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1198,
      'J' = [599, 1798, 899, 2698, 1349, 4048, 2024, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 599],
     [1198 > 1,
      0 is 1198 mod 2,
      599 is 1198 // 2,
      collatz(599, [599, 1798, 899, 2698, 1349, 4048, 2024, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1198 > 1, builtin, [], []).
step(0 is 1198 mod 2, builtin, [], []).
step(599 is 1198 // 2, builtin, [], []).
step(collatz(599, [599, 1798, 899, 2698, 1349, 4048, 2024, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 599,
      'J' = [1798, 899, 2698, 1349, 4048, 2024, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 1797,
      'N1' = 1798],
     [599 > 1,
      1 is 599 mod 2,
      1797 is 3 * 599,
      1798 is 1797 + 1,
      collatz(1798, [1798, 899, 2698, 1349, 4048, 2024, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(599 > 1, builtin, [], []).
step(1 is 599 mod 2, builtin, [], []).
step(1797 is 3 * 599, builtin, [], []).
step(1798 is 1797 + 1, builtin, [], []).
step(collatz(1798, [1798, 899, 2698, 1349, 4048, 2024, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1798,
      'J' = [899, 2698, 1349, 4048, 2024, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 899],
     [1798 > 1,
      0 is 1798 mod 2,
      899 is 1798 // 2,
      collatz(899, [899, 2698, 1349, 4048, 2024, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1798 > 1, builtin, [], []).
step(0 is 1798 mod 2, builtin, [], []).
step(899 is 1798 // 2, builtin, [], []).
step(collatzTrajectory(797, [797, 2392, 1196, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 797,
      'M' = [797, 2392, 1196, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 203],
     [repeat(1000, 203),
      797 is 1000 - 203,
      collatz(797, [797, 2392, 1196, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 203),
     rule(3),
     ['N' = 1000, 'I' = 203, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 203)]).
step(between(0, 999, 203), builtin, [], []).
step(797 is 1000 - 203, builtin, [], []).
step(collatzTrajectory(796, [796, 398, 199, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 796,
      'M' = [796, 398, 199, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 204],
     [repeat(1000, 204),
      796 is 1000 - 204,
      collatz(796, [796, 398, 199, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 204),
     rule(3),
     ['N' = 1000, 'I' = 204, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 204)]).
step(between(0, 999, 204), builtin, [], []).
step(796 is 1000 - 204, builtin, [], []).
step(collatzTrajectory(795, [795, 2386, 1193, 3580, 1790, 895, 2686, 1343, 4030, 2015, 6046, 3023, 9070, 4535, 13606, 6803, 20410, 10205, 30616, 15308, 7654, 3827, 11482, 5741, 17224, 8612, 4306, 2153, 6460, 3230, 1615, 4846, 2423, 7270, 3635, 10906, 5453, 16360, 8180, 4090, 2045, 6136, 3068, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 795,
      'M' = [795, 2386, 1193, 3580, 1790, 895, 2686, 1343, 4030, 2015, 6046, 3023, 9070, 4535, 13606, 6803, 20410, 10205, 30616, 15308, 7654, 3827, 11482, 5741, 17224, 8612, 4306, 2153, 6460, 3230, 1615, 4846, 2423, 7270, 3635, 10906, 5453, 16360, 8180, 4090, 2045, 6136, 3068, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 205],
     [repeat(1000, 205),
      795 is 1000 - 205,
      collatz(795, [795, 2386, 1193, 3580, 1790, 895, 2686, 1343, 4030, 2015, 6046, 3023, 9070, 4535, 13606, 6803, 20410, 10205, 30616, 15308, 7654, 3827, 11482, 5741, 17224, 8612, 4306, 2153, 6460, 3230, 1615, 4846, 2423, 7270, 3635, 10906, 5453, 16360, 8180, 4090, 2045, 6136, 3068, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 205),
     rule(3),
     ['N' = 1000, 'I' = 205, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 205)]).
step(between(0, 999, 205), builtin, [], []).
step(795 is 1000 - 205, builtin, [], []).
step(collatz(795, [795, 2386, 1193, 3580, 1790, 895, 2686, 1343, 4030, 2015, 6046, 3023, 9070, 4535, 13606, 6803, 20410, 10205, 30616, 15308, 7654, 3827, 11482, 5741, 17224, 8612, 4306, 2153, 6460, 3230, 1615, 4846, 2423, 7270, 3635, 10906, 5453, 16360, 8180, 4090, 2045, 6136, 3068, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 795,
      'J' = [2386, 1193, 3580, 1790, 895, 2686, 1343, 4030, 2015, 6046, 3023, 9070, 4535, 13606, 6803, 20410, 10205, 30616, 15308, 7654, 3827, 11482, 5741, 17224, 8612, 4306, 2153, 6460, 3230, 1615, 4846, 2423, 7270, 3635, 10906, 5453, 16360, 8180, 4090, 2045, 6136, 3068, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 2385,
      'N1' = 2386],
     [795 > 1,
      1 is 795 mod 2,
      2385 is 3 * 795,
      2386 is 2385 + 1,
      collatz(2386, [2386, 1193, 3580, 1790, 895, 2686, 1343, 4030, 2015, 6046, 3023, 9070, 4535, 13606, 6803, 20410, 10205, 30616, 15308, 7654, 3827, 11482, 5741, 17224, 8612, 4306, 2153, 6460, 3230, 1615, 4846, 2423, 7270, 3635, 10906, 5453, 16360, 8180, 4090, 2045, 6136, 3068, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(795 > 1, builtin, [], []).
step(1 is 795 mod 2, builtin, [], []).
step(2385 is 3 * 795, builtin, [], []).
step(2386 is 2385 + 1, builtin, [], []).
step(collatz(2386, [2386, 1193, 3580, 1790, 895, 2686, 1343, 4030, 2015, 6046, 3023, 9070, 4535, 13606, 6803, 20410, 10205, 30616, 15308, 7654, 3827, 11482, 5741, 17224, 8612, 4306, 2153, 6460, 3230, 1615, 4846, 2423, 7270, 3635, 10906, 5453, 16360, 8180, 4090, 2045, 6136, 3068, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 2386,
      'J' = [1193, 3580, 1790, 895, 2686, 1343, 4030, 2015, 6046, 3023, 9070, 4535, 13606, 6803, 20410, 10205, 30616, 15308, 7654, 3827, 11482, 5741, 17224, 8612, 4306, 2153, 6460, 3230, 1615, 4846, 2423, 7270, 3635, 10906, 5453, 16360, 8180, 4090, 2045, 6136, 3068, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1193],
     [2386 > 1,
      0 is 2386 mod 2,
      1193 is 2386 // 2,
      collatz(1193, [1193, 3580, 1790, 895, 2686, 1343, 4030, 2015, 6046, 3023, 9070, 4535, 13606, 6803, 20410, 10205, 30616, 15308, 7654, 3827, 11482, 5741, 17224, 8612, 4306, 2153, 6460, 3230, 1615, 4846, 2423, 7270, 3635, 10906, 5453, 16360, 8180, 4090, 2045, 6136, 3068, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2386 > 1, builtin, [], []).
step(0 is 2386 mod 2, builtin, [], []).
step(1193 is 2386 // 2, builtin, [], []).
step(collatz(1193, [1193, 3580, 1790, 895, 2686, 1343, 4030, 2015, 6046, 3023, 9070, 4535, 13606, 6803, 20410, 10205, 30616, 15308, 7654, 3827, 11482, 5741, 17224, 8612, 4306, 2153, 6460, 3230, 1615, 4846, 2423, 7270, 3635, 10906, 5453, 16360, 8180, 4090, 2045, 6136, 3068, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 1193,
      'J' = [3580, 1790, 895, 2686, 1343, 4030, 2015, 6046, 3023, 9070, 4535, 13606, 6803, 20410, 10205, 30616, 15308, 7654, 3827, 11482, 5741, 17224, 8612, 4306, 2153, 6460, 3230, 1615, 4846, 2423, 7270, 3635, 10906, 5453, 16360, 8180, 4090, 2045, 6136, 3068, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 3579,
      'N1' = 3580],
     [1193 > 1,
      1 is 1193 mod 2,
      3579 is 3 * 1193,
      3580 is 3579 + 1,
      collatz(3580, [3580, 1790, 895, 2686, 1343, 4030, 2015, 6046, 3023, 9070, 4535, 13606, 6803, 20410, 10205, 30616, 15308, 7654, 3827, 11482, 5741, 17224, 8612, 4306, 2153, 6460, 3230, 1615, 4846, 2423, 7270, 3635, 10906, 5453, 16360, 8180, 4090, 2045, 6136, 3068, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1193 > 1, builtin, [], []).
step(1 is 1193 mod 2, builtin, [], []).
step(3579 is 3 * 1193, builtin, [], []).
step(3580 is 3579 + 1, builtin, [], []).
step(collatz(3580, [3580, 1790, 895, 2686, 1343, 4030, 2015, 6046, 3023, 9070, 4535, 13606, 6803, 20410, 10205, 30616, 15308, 7654, 3827, 11482, 5741, 17224, 8612, 4306, 2153, 6460, 3230, 1615, 4846, 2423, 7270, 3635, 10906, 5453, 16360, 8180, 4090, 2045, 6136, 3068, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 3580,
      'J' = [1790, 895, 2686, 1343, 4030, 2015, 6046, 3023, 9070, 4535, 13606, 6803, 20410, 10205, 30616, 15308, 7654, 3827, 11482, 5741, 17224, 8612, 4306, 2153, 6460, 3230, 1615, 4846, 2423, 7270, 3635, 10906, 5453, 16360, 8180, 4090, 2045, 6136, 3068, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1790],
     [3580 > 1,
      0 is 3580 mod 2,
      1790 is 3580 // 2,
      collatz(1790, [1790, 895, 2686, 1343, 4030, 2015, 6046, 3023, 9070, 4535, 13606, 6803, 20410, 10205, 30616, 15308, 7654, 3827, 11482, 5741, 17224, 8612, 4306, 2153, 6460, 3230, 1615, 4846, 2423, 7270, 3635, 10906, 5453, 16360, 8180, 4090, 2045, 6136, 3068, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(3580 > 1, builtin, [], []).
step(0 is 3580 mod 2, builtin, [], []).
step(1790 is 3580 // 2, builtin, [], []).
step(collatz(1790, [1790, 895, 2686, 1343, 4030, 2015, 6046, 3023, 9070, 4535, 13606, 6803, 20410, 10205, 30616, 15308, 7654, 3827, 11482, 5741, 17224, 8612, 4306, 2153, 6460, 3230, 1615, 4846, 2423, 7270, 3635, 10906, 5453, 16360, 8180, 4090, 2045, 6136, 3068, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1790,
      'J' = [895, 2686, 1343, 4030, 2015, 6046, 3023, 9070, 4535, 13606, 6803, 20410, 10205, 30616, 15308, 7654, 3827, 11482, 5741, 17224, 8612, 4306, 2153, 6460, 3230, 1615, 4846, 2423, 7270, 3635, 10906, 5453, 16360, 8180, 4090, 2045, 6136, 3068, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 895],
     [1790 > 1,
      0 is 1790 mod 2,
      895 is 1790 // 2,
      collatz(895, [895, 2686, 1343, 4030, 2015, 6046, 3023, 9070, 4535, 13606, 6803, 20410, 10205, 30616, 15308, 7654, 3827, 11482, 5741, 17224, 8612, 4306, 2153, 6460, 3230, 1615, 4846, 2423, 7270, 3635, 10906, 5453, 16360, 8180, 4090, 2045, 6136, 3068, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1790 > 1, builtin, [], []).
step(0 is 1790 mod 2, builtin, [], []).
step(895 is 1790 // 2, builtin, [], []).
step(collatzTrajectory(794, [794, 397, 1192, 596, 298, 149, 448, 224, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 794,
      'M' = [794, 397, 1192, 596, 298, 149, 448, 224, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 206],
     [repeat(1000, 206),
      794 is 1000 - 206,
      collatz(794, [794, 397, 1192, 596, 298, 149, 448, 224, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 206),
     rule(3),
     ['N' = 1000, 'I' = 206, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 206)]).
step(between(0, 999, 206), builtin, [], []).
step(794 is 1000 - 206, builtin, [], []).
step(collatz(794, [794, 397, 1192, 596, 298, 149, 448, 224, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 794,
      'J' = [397, 1192, 596, 298, 149, 448, 224, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 397],
     [794 > 1,
      0 is 794 mod 2,
      397 is 794 // 2,
      collatz(397, [397, 1192, 596, 298, 149, 448, 224, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(794 > 1, builtin, [], []).
step(0 is 794 mod 2, builtin, [], []).
step(397 is 794 // 2, builtin, [], []).
step(collatz(397, [397, 1192, 596, 298, 149, 448, 224, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 397,
      'J' = [1192, 596, 298, 149, 448, 224, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 1191,
      'N1' = 1192],
     [397 > 1,
      1 is 397 mod 2,
      1191 is 3 * 397,
      1192 is 1191 + 1,
      collatz(1192, [1192, 596, 298, 149, 448, 224, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(397 > 1, builtin, [], []).
step(1 is 397 mod 2, builtin, [], []).
step(1191 is 3 * 397, builtin, [], []).
step(1192 is 1191 + 1, builtin, [], []).
step(collatz(1192, [1192, 596, 298, 149, 448, 224, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1192,
      'J' = [596, 298, 149, 448, 224, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 596],
     [1192 > 1,
      0 is 1192 mod 2,
      596 is 1192 // 2,
      collatz(596, [596, 298, 149, 448, 224, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1192 > 1, builtin, [], []).
step(0 is 1192 mod 2, builtin, [], []).
step(596 is 1192 // 2, builtin, [], []).
step(collatz(596, [596, 298, 149, 448, 224, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 596,
      'J' = [298, 149, 448, 224, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 298],
     [596 > 1,
      0 is 596 mod 2,
      298 is 596 // 2,
      collatz(298, [298, 149, 448, 224, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(596 > 1, builtin, [], []).
step(0 is 596 mod 2, builtin, [], []).
step(298 is 596 // 2, builtin, [], []).
step(collatz(298, [298, 149, 448, 224, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 298,
      'J' = [149, 448, 224, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 149],
     [298 > 1,
      0 is 298 mod 2,
      149 is 298 // 2,
      collatz(149, [149, 448, 224, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(298 > 1, builtin, [], []).
step(0 is 298 mod 2, builtin, [], []).
step(149 is 298 // 2, builtin, [], []).
step(collatz(149, [149, 448, 224, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 149,
      'J' = [448, 224, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 447,
      'N1' = 448],
     [149 > 1,
      1 is 149 mod 2,
      447 is 3 * 149,
      448 is 447 + 1,
      collatz(448, [448, 224, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(149 > 1, builtin, [], []).
step(1 is 149 mod 2, builtin, [], []).
step(447 is 3 * 149, builtin, [], []).
step(448 is 447 + 1, builtin, [], []).
step(collatzTrajectory(793, [793, 2380, 1190, 595, 1786, 893, 2680, 1340, 670, 335, 1006, 503, 1510, 755, 2266, 1133, 3400, 1700, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 793,
      'M' = [793, 2380, 1190, 595, 1786, 893, 2680, 1340, 670, 335, 1006, 503, 1510, 755, 2266, 1133, 3400, 1700, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 207],
     [repeat(1000, 207),
      793 is 1000 - 207,
      collatz(793, [793, 2380, 1190, 595, 1786, 893, 2680, 1340, 670, 335, 1006, 503, 1510, 755, 2266, 1133, 3400, 1700, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 207),
     rule(3),
     ['N' = 1000, 'I' = 207, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 207)]).
step(between(0, 999, 207), builtin, [], []).
step(793 is 1000 - 207, builtin, [], []).
step(collatzTrajectory(792, [792, 396, 198, 99, 298, 149, 448, 224, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 792,
      'M' = [792, 396, 198, 99, 298, 149, 448, 224, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 208],
     [repeat(1000, 208),
      792 is 1000 - 208,
      collatz(792, [792, 396, 198, 99, 298, 149, 448, 224, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 208),
     rule(3),
     ['N' = 1000, 'I' = 208, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 208)]).
step(between(0, 999, 208), builtin, [], []).
step(792 is 1000 - 208, builtin, [], []).
step(collatz(792, [792, 396, 198, 99, 298, 149, 448, 224, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 792,
      'J' = [396, 198, 99, 298, 149, 448, 224, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 396],
     [792 > 1,
      0 is 792 mod 2,
      396 is 792 // 2,
      collatz(396, [396, 198, 99, 298, 149, 448, 224, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(792 > 1, builtin, [], []).
step(0 is 792 mod 2, builtin, [], []).
step(396 is 792 // 2, builtin, [], []).
step(collatz(396, [396, 198, 99, 298, 149, 448, 224, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 396,
      'J' = [198, 99, 298, 149, 448, 224, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 198],
     [396 > 1,
      0 is 396 mod 2,
      198 is 396 // 2,
      collatz(198, [198, 99, 298, 149, 448, 224, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(396 > 1, builtin, [], []).
step(0 is 396 mod 2, builtin, [], []).
step(198 is 396 // 2, builtin, [], []).
step(collatz(198, [198, 99, 298, 149, 448, 224, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 198,
      'J' = [99, 298, 149, 448, 224, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 99],
     [198 > 1,
      0 is 198 mod 2,
      99 is 198 // 2,
      collatz(99, [99, 298, 149, 448, 224, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(198 > 1, builtin, [], []).
step(0 is 198 mod 2, builtin, [], []).
step(99 is 198 // 2, builtin, [], []).
step(collatz(99, [99, 298, 149, 448, 224, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 99,
      'J' = [298, 149, 448, 224, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 297,
      'N1' = 298],
     [99 > 1,
      1 is 99 mod 2,
      297 is 3 * 99,
      298 is 297 + 1,
      collatz(298, [298, 149, 448, 224, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(99 > 1, builtin, [], []).
step(1 is 99 mod 2, builtin, [], []).
step(297 is 3 * 99, builtin, [], []).
step(298 is 297 + 1, builtin, [], []).
step(collatzTrajectory(791, [791, 2374, 1187, 3562, 1781, 5344, 2672, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 791,
      'M' = [791, 2374, 1187, 3562, 1781, 5344, 2672, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 209],
     [repeat(1000, 209),
      791 is 1000 - 209,
      collatz(791, [791, 2374, 1187, 3562, 1781, 5344, 2672, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 209),
     rule(3),
     ['N' = 1000, 'I' = 209, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 209)]).
step(between(0, 999, 209), builtin, [], []).
step(791 is 1000 - 209, builtin, [], []).
step(collatz(791, [791, 2374, 1187, 3562, 1781, 5344, 2672, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 791,
      'J' = [2374, 1187, 3562, 1781, 5344, 2672, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 2373,
      'N1' = 2374],
     [791 > 1,
      1 is 791 mod 2,
      2373 is 3 * 791,
      2374 is 2373 + 1,
      collatz(2374, [2374, 1187, 3562, 1781, 5344, 2672, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(791 > 1, builtin, [], []).
step(1 is 791 mod 2, builtin, [], []).
step(2373 is 3 * 791, builtin, [], []).
step(2374 is 2373 + 1, builtin, [], []).
step(collatz(2374, [2374, 1187, 3562, 1781, 5344, 2672, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 2374,
      'J' = [1187, 3562, 1781, 5344, 2672, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1187],
     [2374 > 1,
      0 is 2374 mod 2,
      1187 is 2374 // 2,
      collatz(1187, [1187, 3562, 1781, 5344, 2672, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2374 > 1, builtin, [], []).
step(0 is 2374 mod 2, builtin, [], []).
step(1187 is 2374 // 2, builtin, [], []).
step(collatz(1187, [1187, 3562, 1781, 5344, 2672, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 1187,
      'J' = [3562, 1781, 5344, 2672, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 3561,
      'N1' = 3562],
     [1187 > 1,
      1 is 1187 mod 2,
      3561 is 3 * 1187,
      3562 is 3561 + 1,
      collatz(3562, [3562, 1781, 5344, 2672, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1187 > 1, builtin, [], []).
step(1 is 1187 mod 2, builtin, [], []).
step(3561 is 3 * 1187, builtin, [], []).
step(3562 is 3561 + 1, builtin, [], []).
step(collatz(3562, [3562, 1781, 5344, 2672, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 3562,
      'J' = [1781, 5344, 2672, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1781],
     [3562 > 1,
      0 is 3562 mod 2,
      1781 is 3562 // 2,
      collatz(1781, [1781, 5344, 2672, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(3562 > 1, builtin, [], []).
step(0 is 3562 mod 2, builtin, [], []).
step(1781 is 3562 // 2, builtin, [], []).
step(collatz(1781, [1781, 5344, 2672, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 1781,
      'J' = [5344, 2672, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 5343,
      'N1' = 5344],
     [1781 > 1,
      1 is 1781 mod 2,
      5343 is 3 * 1781,
      5344 is 5343 + 1,
      collatz(5344, [5344, 2672, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1781 > 1, builtin, [], []).
step(1 is 1781 mod 2, builtin, [], []).
step(5343 is 3 * 1781, builtin, [], []).
step(5344 is 5343 + 1, builtin, [], []).
step(collatz(5344, [5344, 2672, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 5344,
      'J' = [2672, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 2672],
     [5344 > 1,
      0 is 5344 mod 2,
      2672 is 5344 // 2,
      collatz(2672, [2672, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(5344 > 1, builtin, [], []).
step(0 is 5344 mod 2, builtin, [], []).
step(2672 is 5344 // 2, builtin, [], []).
step(collatz(2672, [2672, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 2672,
      'J' = [1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1336],
     [2672 > 1,
      0 is 2672 mod 2,
      1336 is 2672 // 2,
      collatz(1336, [1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2672 > 1, builtin, [], []).
step(0 is 2672 mod 2, builtin, [], []).
step(1336 is 2672 // 2, builtin, [], []).
step(collatzTrajectory(790, [790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 790,
      'M' = [790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 210],
     [repeat(1000, 210),
      790 is 1000 - 210,
      collatz(790, [790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 210),
     rule(3),
     ['N' = 1000, 'I' = 210, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 210)]).
step(between(0, 999, 210), builtin, [], []).
step(790 is 1000 - 210, builtin, [], []).
step(collatzTrajectory(789, [789, 2368, 1184, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 789,
      'M' = [789, 2368, 1184, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 211],
     [repeat(1000, 211),
      789 is 1000 - 211,
      collatz(789, [789, 2368, 1184, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 211),
     rule(3),
     ['N' = 1000, 'I' = 211, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 211)]).
step(between(0, 999, 211), builtin, [], []).
step(789 is 1000 - 211, builtin, [], []).
step(collatz(789, [789, 2368, 1184, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 789,
      'J' = [2368, 1184, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 2367,
      'N1' = 2368],
     [789 > 1,
      1 is 789 mod 2,
      2367 is 3 * 789,
      2368 is 2367 + 1,
      collatz(2368, [2368, 1184, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(789 > 1, builtin, [], []).
step(1 is 789 mod 2, builtin, [], []).
step(2367 is 3 * 789, builtin, [], []).
step(2368 is 2367 + 1, builtin, [], []).
step(collatz(2368, [2368, 1184, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 2368,
      'J' = [1184, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1184],
     [2368 > 1,
      0 is 2368 mod 2,
      1184 is 2368 // 2,
      collatz(1184, [1184, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2368 > 1, builtin, [], []).
step(0 is 2368 mod 2, builtin, [], []).
step(1184 is 2368 // 2, builtin, [], []).
step(collatz(1184, [1184, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1184,
      'J' = [592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 592],
     [1184 > 1,
      0 is 1184 mod 2,
      592 is 1184 // 2,
      collatz(592, [592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1184 > 1, builtin, [], []).
step(0 is 1184 mod 2, builtin, [], []).
step(592 is 1184 // 2, builtin, [], []).
step(collatzTrajectory(788, [788, 394, 197, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 788,
      'M' = [788, 394, 197, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 212],
     [repeat(1000, 212),
      788 is 1000 - 212,
      collatz(788, [788, 394, 197, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 212),
     rule(3),
     ['N' = 1000, 'I' = 212, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 212)]).
step(between(0, 999, 212), builtin, [], []).
step(788 is 1000 - 212, builtin, [], []).
step(collatz(788, [788, 394, 197, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 788,
      'J' = [394, 197, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 394],
     [788 > 1,
      0 is 788 mod 2,
      394 is 788 // 2,
      collatz(394, [394, 197, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(788 > 1, builtin, [], []).
step(0 is 788 mod 2, builtin, [], []).
step(394 is 788 // 2, builtin, [], []).
step(collatzTrajectory(787, [787, 2362, 1181, 3544, 1772, 886, 443, 1330, 665, 1996, 998, 499, 1498, 749, 2248, 1124, 562, 281, 844, 422, 211, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 787,
      'M' = [787, 2362, 1181, 3544, 1772, 886, 443, 1330, 665, 1996, 998, 499, 1498, 749, 2248, 1124, 562, 281, 844, 422, 211, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 213],
     [repeat(1000, 213),
      787 is 1000 - 213,
      collatz(787, [787, 2362, 1181, 3544, 1772, 886, 443, 1330, 665, 1996, 998, 499, 1498, 749, 2248, 1124, 562, 281, 844, 422, 211, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 213),
     rule(3),
     ['N' = 1000, 'I' = 213, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 213)]).
step(between(0, 999, 213), builtin, [], []).
step(787 is 1000 - 213, builtin, [], []).
step(collatz(787, [787, 2362, 1181, 3544, 1772, 886, 443, 1330, 665, 1996, 998, 499, 1498, 749, 2248, 1124, 562, 281, 844, 422, 211, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 787,
      'J' = [2362, 1181, 3544, 1772, 886, 443, 1330, 665, 1996, 998, 499, 1498, 749, 2248, 1124, 562, 281, 844, 422, 211, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 2361,
      'N1' = 2362],
     [787 > 1,
      1 is 787 mod 2,
      2361 is 3 * 787,
      2362 is 2361 + 1,
      collatz(2362, [2362, 1181, 3544, 1772, 886, 443, 1330, 665, 1996, 998, 499, 1498, 749, 2248, 1124, 562, 281, 844, 422, 211, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(787 > 1, builtin, [], []).
step(1 is 787 mod 2, builtin, [], []).
step(2361 is 3 * 787, builtin, [], []).
step(2362 is 2361 + 1, builtin, [], []).
step(collatz(2362, [2362, 1181, 3544, 1772, 886, 443, 1330, 665, 1996, 998, 499, 1498, 749, 2248, 1124, 562, 281, 844, 422, 211, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 2362,
      'J' = [1181, 3544, 1772, 886, 443, 1330, 665, 1996, 998, 499, 1498, 749, 2248, 1124, 562, 281, 844, 422, 211, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1181],
     [2362 > 1,
      0 is 2362 mod 2,
      1181 is 2362 // 2,
      collatz(1181, [1181, 3544, 1772, 886, 443, 1330, 665, 1996, 998, 499, 1498, 749, 2248, 1124, 562, 281, 844, 422, 211, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2362 > 1, builtin, [], []).
step(0 is 2362 mod 2, builtin, [], []).
step(1181 is 2362 // 2, builtin, [], []).
step(collatz(1181, [1181, 3544, 1772, 886, 443, 1330, 665, 1996, 998, 499, 1498, 749, 2248, 1124, 562, 281, 844, 422, 211, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 1181,
      'J' = [3544, 1772, 886, 443, 1330, 665, 1996, 998, 499, 1498, 749, 2248, 1124, 562, 281, 844, 422, 211, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 3543,
      'N1' = 3544],
     [1181 > 1,
      1 is 1181 mod 2,
      3543 is 3 * 1181,
      3544 is 3543 + 1,
      collatz(3544, [3544, 1772, 886, 443, 1330, 665, 1996, 998, 499, 1498, 749, 2248, 1124, 562, 281, 844, 422, 211, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1181 > 1, builtin, [], []).
step(1 is 1181 mod 2, builtin, [], []).
step(3543 is 3 * 1181, builtin, [], []).
step(3544 is 3543 + 1, builtin, [], []).
step(collatz(3544, [3544, 1772, 886, 443, 1330, 665, 1996, 998, 499, 1498, 749, 2248, 1124, 562, 281, 844, 422, 211, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 3544,
      'J' = [1772, 886, 443, 1330, 665, 1996, 998, 499, 1498, 749, 2248, 1124, 562, 281, 844, 422, 211, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1772],
     [3544 > 1,
      0 is 3544 mod 2,
      1772 is 3544 // 2,
      collatz(1772, [1772, 886, 443, 1330, 665, 1996, 998, 499, 1498, 749, 2248, 1124, 562, 281, 844, 422, 211, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(3544 > 1, builtin, [], []).
step(0 is 3544 mod 2, builtin, [], []).
step(1772 is 3544 // 2, builtin, [], []).
step(collatz(1772, [1772, 886, 443, 1330, 665, 1996, 998, 499, 1498, 749, 2248, 1124, 562, 281, 844, 422, 211, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1772,
      'J' = [886, 443, 1330, 665, 1996, 998, 499, 1498, 749, 2248, 1124, 562, 281, 844, 422, 211, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 886],
     [1772 > 1,
      0 is 1772 mod 2,
      886 is 1772 // 2,
      collatz(886, [886, 443, 1330, 665, 1996, 998, 499, 1498, 749, 2248, 1124, 562, 281, 844, 422, 211, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1772 > 1, builtin, [], []).
step(0 is 1772 mod 2, builtin, [], []).
step(886 is 1772 // 2, builtin, [], []).
step(collatzTrajectory(786, [786, 393, 1180, 590, 295, 886, 443, 1330, 665, 1996, 998, 499, 1498, 749, 2248, 1124, 562, 281, 844, 422, 211, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 786,
      'M' = [786, 393, 1180, 590, 295, 886, 443, 1330, 665, 1996, 998, 499, 1498, 749, 2248, 1124, 562, 281, 844, 422, 211, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 214],
     [repeat(1000, 214),
      786 is 1000 - 214,
      collatz(786, [786, 393, 1180, 590, 295, 886, 443, 1330, 665, 1996, 998, 499, 1498, 749, 2248, 1124, 562, 281, 844, 422, 211, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 214),
     rule(3),
     ['N' = 1000, 'I' = 214, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 214)]).
step(between(0, 999, 214), builtin, [], []).
step(786 is 1000 - 214, builtin, [], []).
step(collatz(786, [786, 393, 1180, 590, 295, 886, 443, 1330, 665, 1996, 998, 499, 1498, 749, 2248, 1124, 562, 281, 844, 422, 211, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 786,
      'J' = [393, 1180, 590, 295, 886, 443, 1330, 665, 1996, 998, 499, 1498, 749, 2248, 1124, 562, 281, 844, 422, 211, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 393],
     [786 > 1,
      0 is 786 mod 2,
      393 is 786 // 2,
      collatz(393, [393, 1180, 590, 295, 886, 443, 1330, 665, 1996, 998, 499, 1498, 749, 2248, 1124, 562, 281, 844, 422, 211, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(786 > 1, builtin, [], []).
step(0 is 786 mod 2, builtin, [], []).
step(393 is 786 // 2, builtin, [], []).
step(collatz(393, [393, 1180, 590, 295, 886, 443, 1330, 665, 1996, 998, 499, 1498, 749, 2248, 1124, 562, 281, 844, 422, 211, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 393,
      'J' = [1180, 590, 295, 886, 443, 1330, 665, 1996, 998, 499, 1498, 749, 2248, 1124, 562, 281, 844, 422, 211, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 1179,
      'N1' = 1180],
     [393 > 1,
      1 is 393 mod 2,
      1179 is 3 * 393,
      1180 is 1179 + 1,
      collatz(1180, [1180, 590, 295, 886, 443, 1330, 665, 1996, 998, 499, 1498, 749, 2248, 1124, 562, 281, 844, 422, 211, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(393 > 1, builtin, [], []).
step(1 is 393 mod 2, builtin, [], []).
step(1179 is 3 * 393, builtin, [], []).
step(1180 is 1179 + 1, builtin, [], []).
step(collatz(1180, [1180, 590, 295, 886, 443, 1330, 665, 1996, 998, 499, 1498, 749, 2248, 1124, 562, 281, 844, 422, 211, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1180,
      'J' = [590, 295, 886, 443, 1330, 665, 1996, 998, 499, 1498, 749, 2248, 1124, 562, 281, 844, 422, 211, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 590],
     [1180 > 1,
      0 is 1180 mod 2,
      590 is 1180 // 2,
      collatz(590, [590, 295, 886, 443, 1330, 665, 1996, 998, 499, 1498, 749, 2248, 1124, 562, 281, 844, 422, 211, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1180 > 1, builtin, [], []).
step(0 is 1180 mod 2, builtin, [], []).
step(590 is 1180 // 2, builtin, [], []).
step(collatz(590, [590, 295, 886, 443, 1330, 665, 1996, 998, 499, 1498, 749, 2248, 1124, 562, 281, 844, 422, 211, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 590,
      'J' = [295, 886, 443, 1330, 665, 1996, 998, 499, 1498, 749, 2248, 1124, 562, 281, 844, 422, 211, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 295],
     [590 > 1,
      0 is 590 mod 2,
      295 is 590 // 2,
      collatz(295, [295, 886, 443, 1330, 665, 1996, 998, 499, 1498, 749, 2248, 1124, 562, 281, 844, 422, 211, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(590 > 1, builtin, [], []).
step(0 is 590 mod 2, builtin, [], []).
step(295 is 590 // 2, builtin, [], []).
step(collatz(295, [295, 886, 443, 1330, 665, 1996, 998, 499, 1498, 749, 2248, 1124, 562, 281, 844, 422, 211, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 295,
      'J' = [886, 443, 1330, 665, 1996, 998, 499, 1498, 749, 2248, 1124, 562, 281, 844, 422, 211, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 885,
      'N1' = 886],
     [295 > 1,
      1 is 295 mod 2,
      885 is 3 * 295,
      886 is 885 + 1,
      collatz(886, [886, 443, 1330, 665, 1996, 998, 499, 1498, 749, 2248, 1124, 562, 281, 844, 422, 211, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(295 > 1, builtin, [], []).
step(1 is 295 mod 2, builtin, [], []).
step(885 is 3 * 295, builtin, [], []).
step(886 is 885 + 1, builtin, [], []).
step(collatzTrajectory(785, [785, 2356, 1178, 589, 1768, 884, 442, 221, 664, 332, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 785,
      'M' = [785, 2356, 1178, 589, 1768, 884, 442, 221, 664, 332, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 215],
     [repeat(1000, 215),
      785 is 1000 - 215,
      collatz(785, [785, 2356, 1178, 589, 1768, 884, 442, 221, 664, 332, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 215),
     rule(3),
     ['N' = 1000, 'I' = 215, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 215)]).
step(between(0, 999, 215), builtin, [], []).
step(785 is 1000 - 215, builtin, [], []).
step(collatzTrajectory(784, [784, 392, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 784,
      'M' = [784, 392, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 216],
     [repeat(1000, 216),
      784 is 1000 - 216,
      collatz(784, [784, 392, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 216),
     rule(3),
     ['N' = 1000, 'I' = 216, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 216)]).
step(between(0, 999, 216), builtin, [], []).
step(784 is 1000 - 216, builtin, [], []).
step(collatz(784, [784, 392, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 784,
      'J' = [392, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 392],
     [784 > 1,
      0 is 784 mod 2,
      392 is 784 // 2,
      collatz(392, [392, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(784 > 1, builtin, [], []).
step(0 is 784 mod 2, builtin, [], []).
step(392 is 784 // 2, builtin, [], []).
step(collatz(392, [392, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 392,
      'J' = [196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 196],
     [392 > 1,
      0 is 392 mod 2,
      196 is 392 // 2,
      collatz(196, [196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(392 > 1, builtin, [], []).
step(0 is 392 mod 2, builtin, [], []).
step(196 is 392 // 2, builtin, [], []).
step(collatzTrajectory(783, [783, 2350, 1175, 3526, 1763, 5290, 2645, 7936, 3968, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 783,
      'M' = [783, 2350, 1175, 3526, 1763, 5290, 2645, 7936, 3968, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 217],
     [repeat(1000, 217),
      783 is 1000 - 217,
      collatz(783, [783, 2350, 1175, 3526, 1763, 5290, 2645, 7936, 3968, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 217),
     rule(3),
     ['N' = 1000, 'I' = 217, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 217)]).
step(between(0, 999, 217), builtin, [], []).
step(783 is 1000 - 217, builtin, [], []).
step(collatz(783, [783, 2350, 1175, 3526, 1763, 5290, 2645, 7936, 3968, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 783,
      'J' = [2350, 1175, 3526, 1763, 5290, 2645, 7936, 3968, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 2349,
      'N1' = 2350],
     [783 > 1,
      1 is 783 mod 2,
      2349 is 3 * 783,
      2350 is 2349 + 1,
      collatz(2350, [2350, 1175, 3526, 1763, 5290, 2645, 7936, 3968, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(783 > 1, builtin, [], []).
step(1 is 783 mod 2, builtin, [], []).
step(2349 is 3 * 783, builtin, [], []).
step(2350 is 2349 + 1, builtin, [], []).
step(collatz(2350, [2350, 1175, 3526, 1763, 5290, 2645, 7936, 3968, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 2350,
      'J' = [1175, 3526, 1763, 5290, 2645, 7936, 3968, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1175],
     [2350 > 1,
      0 is 2350 mod 2,
      1175 is 2350 // 2,
      collatz(1175, [1175, 3526, 1763, 5290, 2645, 7936, 3968, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2350 > 1, builtin, [], []).
step(0 is 2350 mod 2, builtin, [], []).
step(1175 is 2350 // 2, builtin, [], []).
step(collatz(1175, [1175, 3526, 1763, 5290, 2645, 7936, 3968, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 1175,
      'J' = [3526, 1763, 5290, 2645, 7936, 3968, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 3525,
      'N1' = 3526],
     [1175 > 1,
      1 is 1175 mod 2,
      3525 is 3 * 1175,
      3526 is 3525 + 1,
      collatz(3526, [3526, 1763, 5290, 2645, 7936, 3968, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1175 > 1, builtin, [], []).
step(1 is 1175 mod 2, builtin, [], []).
step(3525 is 3 * 1175, builtin, [], []).
step(3526 is 3525 + 1, builtin, [], []).
step(collatz(3526, [3526, 1763, 5290, 2645, 7936, 3968, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 3526,
      'J' = [1763, 5290, 2645, 7936, 3968, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1763],
     [3526 > 1,
      0 is 3526 mod 2,
      1763 is 3526 // 2,
      collatz(1763, [1763, 5290, 2645, 7936, 3968, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(3526 > 1, builtin, [], []).
step(0 is 3526 mod 2, builtin, [], []).
step(1763 is 3526 // 2, builtin, [], []).
step(collatz(1763, [1763, 5290, 2645, 7936, 3968, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 1763,
      'J' = [5290, 2645, 7936, 3968, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 5289,
      'N1' = 5290],
     [1763 > 1,
      1 is 1763 mod 2,
      5289 is 3 * 1763,
      5290 is 5289 + 1,
      collatz(5290, [5290, 2645, 7936, 3968, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1763 > 1, builtin, [], []).
step(1 is 1763 mod 2, builtin, [], []).
step(5289 is 3 * 1763, builtin, [], []).
step(5290 is 5289 + 1, builtin, [], []).
step(collatz(5290, [5290, 2645, 7936, 3968, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 5290,
      'J' = [2645, 7936, 3968, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 2645],
     [5290 > 1,
      0 is 5290 mod 2,
      2645 is 5290 // 2,
      collatz(2645, [2645, 7936, 3968, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(5290 > 1, builtin, [], []).
step(0 is 5290 mod 2, builtin, [], []).
step(2645 is 5290 // 2, builtin, [], []).
step(collatz(2645, [2645, 7936, 3968, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 2645,
      'J' = [7936, 3968, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 7935,
      'N1' = 7936],
     [2645 > 1,
      1 is 2645 mod 2,
      7935 is 3 * 2645,
      7936 is 7935 + 1,
      collatz(7936, [7936, 3968, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2645 > 1, builtin, [], []).
step(1 is 2645 mod 2, builtin, [], []).
step(7935 is 3 * 2645, builtin, [], []).
step(7936 is 7935 + 1, builtin, [], []).
step(collatz(7936, [7936, 3968, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 7936,
      'J' = [3968, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 3968],
     [7936 > 1,
      0 is 7936 mod 2,
      3968 is 7936 // 2,
      collatz(3968, [3968, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(7936 > 1, builtin, [], []).
step(0 is 7936 mod 2, builtin, [], []).
step(3968 is 7936 // 2, builtin, [], []).
step(collatz(3968, [3968, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 3968,
      'J' = [1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1984],
     [3968 > 1,
      0 is 3968 mod 2,
      1984 is 3968 // 2,
      collatz(1984, [1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(3968 > 1, builtin, [], []).
step(0 is 3968 mod 2, builtin, [], []).
step(1984 is 3968 // 2, builtin, [], []).
step(collatzTrajectory(782, [782, 391, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 782,
      'M' = [782, 391, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 218],
     [repeat(1000, 218),
      782 is 1000 - 218,
      collatz(782, [782, 391, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 218),
     rule(3),
     ['N' = 1000, 'I' = 218, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 218)]).
step(between(0, 999, 218), builtin, [], []).
step(782 is 1000 - 218, builtin, [], []).
step(collatzTrajectory(781, [781, 2344, 1172, 586, 293, 880, 440, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 781,
      'M' = [781, 2344, 1172, 586, 293, 880, 440, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 219],
     [repeat(1000, 219),
      781 is 1000 - 219,
      collatz(781, [781, 2344, 1172, 586, 293, 880, 440, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 219),
     rule(3),
     ['N' = 1000, 'I' = 219, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 219)]).
step(between(0, 999, 219), builtin, [], []).
step(781 is 1000 - 219, builtin, [], []).
step(collatz(781, [781, 2344, 1172, 586, 293, 880, 440, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 781,
      'J' = [2344, 1172, 586, 293, 880, 440, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 2343,
      'N1' = 2344],
     [781 > 1,
      1 is 781 mod 2,
      2343 is 3 * 781,
      2344 is 2343 + 1,
      collatz(2344, [2344, 1172, 586, 293, 880, 440, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(781 > 1, builtin, [], []).
step(1 is 781 mod 2, builtin, [], []).
step(2343 is 3 * 781, builtin, [], []).
step(2344 is 2343 + 1, builtin, [], []).
step(collatz(2344, [2344, 1172, 586, 293, 880, 440, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 2344,
      'J' = [1172, 586, 293, 880, 440, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1172],
     [2344 > 1,
      0 is 2344 mod 2,
      1172 is 2344 // 2,
      collatz(1172, [1172, 586, 293, 880, 440, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2344 > 1, builtin, [], []).
step(0 is 2344 mod 2, builtin, [], []).
step(1172 is 2344 // 2, builtin, [], []).
step(collatz(1172, [1172, 586, 293, 880, 440, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1172,
      'J' = [586, 293, 880, 440, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 586],
     [1172 > 1,
      0 is 1172 mod 2,
      586 is 1172 // 2,
      collatz(586, [586, 293, 880, 440, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1172 > 1, builtin, [], []).
step(0 is 1172 mod 2, builtin, [], []).
step(586 is 1172 // 2, builtin, [], []).
step(collatz(586, [586, 293, 880, 440, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 586,
      'J' = [293, 880, 440, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 293],
     [586 > 1,
      0 is 586 mod 2,
      293 is 586 // 2,
      collatz(293, [293, 880, 440, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(586 > 1, builtin, [], []).
step(0 is 586 mod 2, builtin, [], []).
step(293 is 586 // 2, builtin, [], []).
step(collatz(293, [293, 880, 440, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 293,
      'J' = [880, 440, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 879,
      'N1' = 880],
     [293 > 1,
      1 is 293 mod 2,
      879 is 3 * 293,
      880 is 879 + 1,
      collatz(880, [880, 440, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(293 > 1, builtin, [], []).
step(1 is 293 mod 2, builtin, [], []).
step(879 is 3 * 293, builtin, [], []).
step(880 is 879 + 1, builtin, [], []).
step(collatzTrajectory(780, [780, 390, 195, 586, 293, 880, 440, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 780,
      'M' = [780, 390, 195, 586, 293, 880, 440, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 220],
     [repeat(1000, 220),
      780 is 1000 - 220,
      collatz(780, [780, 390, 195, 586, 293, 880, 440, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 220),
     rule(3),
     ['N' = 1000, 'I' = 220, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 220)]).
step(between(0, 999, 220), builtin, [], []).
step(780 is 1000 - 220, builtin, [], []).
step(collatz(780, [780, 390, 195, 586, 293, 880, 440, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 780,
      'J' = [390, 195, 586, 293, 880, 440, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 390],
     [780 > 1,
      0 is 780 mod 2,
      390 is 780 // 2,
      collatz(390, [390, 195, 586, 293, 880, 440, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(780 > 1, builtin, [], []).
step(0 is 780 mod 2, builtin, [], []).
step(390 is 780 // 2, builtin, [], []).
step(collatz(390, [390, 195, 586, 293, 880, 440, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 390,
      'J' = [195, 586, 293, 880, 440, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 195],
     [390 > 1,
      0 is 390 mod 2,
      195 is 390 // 2,
      collatz(195, [195, 586, 293, 880, 440, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(390 > 1, builtin, [], []).
step(0 is 390 mod 2, builtin, [], []).
step(195 is 390 // 2, builtin, [], []).
step(collatz(195, [195, 586, 293, 880, 440, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 195,
      'J' = [586, 293, 880, 440, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 585,
      'N1' = 586],
     [195 > 1,
      1 is 195 mod 2,
      585 is 3 * 195,
      586 is 585 + 1,
      collatz(586, [586, 293, 880, 440, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(195 > 1, builtin, [], []).
step(1 is 195 mod 2, builtin, [], []).
step(585 is 3 * 195, builtin, [], []).
step(586 is 585 + 1, builtin, [], []).
step(collatzTrajectory(779, [779, 2338, 1169, 3508, 1754, 877, 2632, 1316, 658, 329, 988, 494, 247, 742, 371, 1114, 557, 1672, 836, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 779,
      'M' = [779, 2338, 1169, 3508, 1754, 877, 2632, 1316, 658, 329, 988, 494, 247, 742, 371, 1114, 557, 1672, 836, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 221],
     [repeat(1000, 221),
      779 is 1000 - 221,
      collatz(779, [779, 2338, 1169, 3508, 1754, 877, 2632, 1316, 658, 329, 988, 494, 247, 742, 371, 1114, 557, 1672, 836, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 221),
     rule(3),
     ['N' = 1000, 'I' = 221, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 221)]).
step(between(0, 999, 221), builtin, [], []).
step(779 is 1000 - 221, builtin, [], []).
step(collatz(779, [779, 2338, 1169, 3508, 1754, 877, 2632, 1316, 658, 329, 988, 494, 247, 742, 371, 1114, 557, 1672, 836, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 779,
      'J' = [2338, 1169, 3508, 1754, 877, 2632, 1316, 658, 329, 988, 494, 247, 742, 371, 1114, 557, 1672, 836, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 2337,
      'N1' = 2338],
     [779 > 1,
      1 is 779 mod 2,
      2337 is 3 * 779,
      2338 is 2337 + 1,
      collatz(2338, [2338, 1169, 3508, 1754, 877, 2632, 1316, 658, 329, 988, 494, 247, 742, 371, 1114, 557, 1672, 836, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(779 > 1, builtin, [], []).
step(1 is 779 mod 2, builtin, [], []).
step(2337 is 3 * 779, builtin, [], []).
step(2338 is 2337 + 1, builtin, [], []).
step(collatz(2338, [2338, 1169, 3508, 1754, 877, 2632, 1316, 658, 329, 988, 494, 247, 742, 371, 1114, 557, 1672, 836, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 2338,
      'J' = [1169, 3508, 1754, 877, 2632, 1316, 658, 329, 988, 494, 247, 742, 371, 1114, 557, 1672, 836, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1169],
     [2338 > 1,
      0 is 2338 mod 2,
      1169 is 2338 // 2,
      collatz(1169, [1169, 3508, 1754, 877, 2632, 1316, 658, 329, 988, 494, 247, 742, 371, 1114, 557, 1672, 836, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2338 > 1, builtin, [], []).
step(0 is 2338 mod 2, builtin, [], []).
step(1169 is 2338 // 2, builtin, [], []).
step(collatz(1169, [1169, 3508, 1754, 877, 2632, 1316, 658, 329, 988, 494, 247, 742, 371, 1114, 557, 1672, 836, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 1169,
      'J' = [3508, 1754, 877, 2632, 1316, 658, 329, 988, 494, 247, 742, 371, 1114, 557, 1672, 836, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 3507,
      'N1' = 3508],
     [1169 > 1,
      1 is 1169 mod 2,
      3507 is 3 * 1169,
      3508 is 3507 + 1,
      collatz(3508, [3508, 1754, 877, 2632, 1316, 658, 329, 988, 494, 247, 742, 371, 1114, 557, 1672, 836, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1169 > 1, builtin, [], []).
step(1 is 1169 mod 2, builtin, [], []).
step(3507 is 3 * 1169, builtin, [], []).
step(3508 is 3507 + 1, builtin, [], []).
step(collatz(3508, [3508, 1754, 877, 2632, 1316, 658, 329, 988, 494, 247, 742, 371, 1114, 557, 1672, 836, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 3508,
      'J' = [1754, 877, 2632, 1316, 658, 329, 988, 494, 247, 742, 371, 1114, 557, 1672, 836, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1754],
     [3508 > 1,
      0 is 3508 mod 2,
      1754 is 3508 // 2,
      collatz(1754, [1754, 877, 2632, 1316, 658, 329, 988, 494, 247, 742, 371, 1114, 557, 1672, 836, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(3508 > 1, builtin, [], []).
step(0 is 3508 mod 2, builtin, [], []).
step(1754 is 3508 // 2, builtin, [], []).
step(collatz(1754, [1754, 877, 2632, 1316, 658, 329, 988, 494, 247, 742, 371, 1114, 557, 1672, 836, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1754,
      'J' = [877, 2632, 1316, 658, 329, 988, 494, 247, 742, 371, 1114, 557, 1672, 836, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 877],
     [1754 > 1,
      0 is 1754 mod 2,
      877 is 1754 // 2,
      collatz(877, [877, 2632, 1316, 658, 329, 988, 494, 247, 742, 371, 1114, 557, 1672, 836, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1754 > 1, builtin, [], []).
step(0 is 1754 mod 2, builtin, [], []).
step(877 is 1754 // 2, builtin, [], []).
step(collatzTrajectory(778, [778, 389, 1168, 584, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 778,
      'M' = [778, 389, 1168, 584, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 222],
     [repeat(1000, 222),
      778 is 1000 - 222,
      collatz(778, [778, 389, 1168, 584, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 222),
     rule(3),
     ['N' = 1000, 'I' = 222, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 222)]).
step(between(0, 999, 222), builtin, [], []).
step(778 is 1000 - 222, builtin, [], []).
step(collatzTrajectory(777, [777, 2332, 1166, 583, 1750, 875, 2626, 1313, 3940, 1970, 985, 2956, 1478, 739, 2218, 1109, 3328, 1664, 832, 416, 208, 104, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 777,
      'M' = [777, 2332, 1166, 583, 1750, 875, 2626, 1313, 3940, 1970, 985, 2956, 1478, 739, 2218, 1109, 3328, 1664, 832, 416, 208, 104, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 223],
     [repeat(1000, 223),
      777 is 1000 - 223,
      collatz(777, [777, 2332, 1166, 583, 1750, 875, 2626, 1313, 3940, 1970, 985, 2956, 1478, 739, 2218, 1109, 3328, 1664, 832, 416, 208, 104, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 223),
     rule(3),
     ['N' = 1000, 'I' = 223, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 223)]).
step(between(0, 999, 223), builtin, [], []).
step(777 is 1000 - 223, builtin, [], []).
step(collatz(777, [777, 2332, 1166, 583, 1750, 875, 2626, 1313, 3940, 1970, 985, 2956, 1478, 739, 2218, 1109, 3328, 1664, 832, 416, 208, 104, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 777,
      'J' = [2332, 1166, 583, 1750, 875, 2626, 1313, 3940, 1970, 985, 2956, 1478, 739, 2218, 1109, 3328, 1664, 832, 416, 208, 104, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 2331,
      'N1' = 2332],
     [777 > 1,
      1 is 777 mod 2,
      2331 is 3 * 777,
      2332 is 2331 + 1,
      collatz(2332, [2332, 1166, 583, 1750, 875, 2626, 1313, 3940, 1970, 985, 2956, 1478, 739, 2218, 1109, 3328, 1664, 832, 416, 208, 104, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(777 > 1, builtin, [], []).
step(1 is 777 mod 2, builtin, [], []).
step(2331 is 3 * 777, builtin, [], []).
step(2332 is 2331 + 1, builtin, [], []).
step(collatz(2332, [2332, 1166, 583, 1750, 875, 2626, 1313, 3940, 1970, 985, 2956, 1478, 739, 2218, 1109, 3328, 1664, 832, 416, 208, 104, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 2332,
      'J' = [1166, 583, 1750, 875, 2626, 1313, 3940, 1970, 985, 2956, 1478, 739, 2218, 1109, 3328, 1664, 832, 416, 208, 104, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1166],
     [2332 > 1,
      0 is 2332 mod 2,
      1166 is 2332 // 2,
      collatz(1166, [1166, 583, 1750, 875, 2626, 1313, 3940, 1970, 985, 2956, 1478, 739, 2218, 1109, 3328, 1664, 832, 416, 208, 104, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2332 > 1, builtin, [], []).
step(0 is 2332 mod 2, builtin, [], []).
step(1166 is 2332 // 2, builtin, [], []).
step(collatz(1166, [1166, 583, 1750, 875, 2626, 1313, 3940, 1970, 985, 2956, 1478, 739, 2218, 1109, 3328, 1664, 832, 416, 208, 104, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1166,
      'J' = [583, 1750, 875, 2626, 1313, 3940, 1970, 985, 2956, 1478, 739, 2218, 1109, 3328, 1664, 832, 416, 208, 104, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 583],
     [1166 > 1,
      0 is 1166 mod 2,
      583 is 1166 // 2,
      collatz(583, [583, 1750, 875, 2626, 1313, 3940, 1970, 985, 2956, 1478, 739, 2218, 1109, 3328, 1664, 832, 416, 208, 104, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1166 > 1, builtin, [], []).
step(0 is 1166 mod 2, builtin, [], []).
step(583 is 1166 // 2, builtin, [], []).
step(collatz(583, [583, 1750, 875, 2626, 1313, 3940, 1970, 985, 2956, 1478, 739, 2218, 1109, 3328, 1664, 832, 416, 208, 104, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 583,
      'J' = [1750, 875, 2626, 1313, 3940, 1970, 985, 2956, 1478, 739, 2218, 1109, 3328, 1664, 832, 416, 208, 104, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 1749,
      'N1' = 1750],
     [583 > 1,
      1 is 583 mod 2,
      1749 is 3 * 583,
      1750 is 1749 + 1,
      collatz(1750, [1750, 875, 2626, 1313, 3940, 1970, 985, 2956, 1478, 739, 2218, 1109, 3328, 1664, 832, 416, 208, 104, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(583 > 1, builtin, [], []).
step(1 is 583 mod 2, builtin, [], []).
step(1749 is 3 * 583, builtin, [], []).
step(1750 is 1749 + 1, builtin, [], []).
step(collatz(1750, [1750, 875, 2626, 1313, 3940, 1970, 985, 2956, 1478, 739, 2218, 1109, 3328, 1664, 832, 416, 208, 104, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1750,
      'J' = [875, 2626, 1313, 3940, 1970, 985, 2956, 1478, 739, 2218, 1109, 3328, 1664, 832, 416, 208, 104, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 875],
     [1750 > 1,
      0 is 1750 mod 2,
      875 is 1750 // 2,
      collatz(875, [875, 2626, 1313, 3940, 1970, 985, 2956, 1478, 739, 2218, 1109, 3328, 1664, 832, 416, 208, 104, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1750 > 1, builtin, [], []).
step(0 is 1750 mod 2, builtin, [], []).
step(875 is 1750 // 2, builtin, [], []).
step(collatzTrajectory(776, [776, 388, 194, 97, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 776,
      'M' = [776, 388, 194, 97, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 224],
     [repeat(1000, 224),
      776 is 1000 - 224,
      collatz(776, [776, 388, 194, 97, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 224),
     rule(3),
     ['N' = 1000, 'I' = 224, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 224)]).
step(between(0, 999, 224), builtin, [], []).
step(776 is 1000 - 224, builtin, [], []).
step(collatzTrajectory(775, [775, 2326, 1163, 3490, 1745, 5236, 2618, 1309, 3928, 1964, 982, 491, 1474, 737, 2212, 1106, 553, 1660, 830, 415, 1246, 623, 1870, 935, 2806, 1403, 4210, 2105, 6316, 3158, 1579, 4738, 2369, 7108, 3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 775,
      'M' = [775, 2326, 1163, 3490, 1745, 5236, 2618, 1309, 3928, 1964, 982, 491, 1474, 737, 2212, 1106, 553, 1660, 830, 415, 1246, 623, 1870, 935, 2806, 1403, 4210, 2105, 6316, 3158, 1579, 4738, 2369, 7108, 3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 225],
     [repeat(1000, 225),
      775 is 1000 - 225,
      collatz(775, [775, 2326, 1163, 3490, 1745, 5236, 2618, 1309, 3928, 1964, 982, 491, 1474, 737, 2212, 1106, 553, 1660, 830, 415, 1246, 623, 1870, 935, 2806, 1403, 4210, 2105, 6316, 3158, 1579, 4738, 2369, 7108, 3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 225),
     rule(3),
     ['N' = 1000, 'I' = 225, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 225)]).
step(between(0, 999, 225), builtin, [], []).
step(775 is 1000 - 225, builtin, [], []).
step(collatz(775, [775, 2326, 1163, 3490, 1745, 5236, 2618, 1309, 3928, 1964, 982, 491, 1474, 737, 2212, 1106, 553, 1660, 830, 415, 1246, 623, 1870, 935, 2806, 1403, 4210, 2105, 6316, 3158, 1579, 4738, 2369, 7108, 3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 775,
      'J' = [2326, 1163, 3490, 1745, 5236, 2618, 1309, 3928, 1964, 982, 491, 1474, 737, 2212, 1106, 553, 1660, 830, 415, 1246, 623, 1870, 935, 2806, 1403, 4210, 2105, 6316, 3158, 1579, 4738, 2369, 7108, 3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 2325,
      'N1' = 2326],
     [775 > 1,
      1 is 775 mod 2,
      2325 is 3 * 775,
      2326 is 2325 + 1,
      collatz(2326, [2326, 1163, 3490, 1745, 5236, 2618, 1309, 3928, 1964, 982, 491, 1474, 737, 2212, 1106, 553, 1660, 830, 415, 1246, 623, 1870, 935, 2806, 1403, 4210, 2105, 6316, 3158, 1579, 4738, 2369, 7108, 3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(775 > 1, builtin, [], []).
step(1 is 775 mod 2, builtin, [], []).
step(2325 is 3 * 775, builtin, [], []).
step(2326 is 2325 + 1, builtin, [], []).
step(collatz(2326, [2326, 1163, 3490, 1745, 5236, 2618, 1309, 3928, 1964, 982, 491, 1474, 737, 2212, 1106, 553, 1660, 830, 415, 1246, 623, 1870, 935, 2806, 1403, 4210, 2105, 6316, 3158, 1579, 4738, 2369, 7108, 3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 2326,
      'J' = [1163, 3490, 1745, 5236, 2618, 1309, 3928, 1964, 982, 491, 1474, 737, 2212, 1106, 553, 1660, 830, 415, 1246, 623, 1870, 935, 2806, 1403, 4210, 2105, 6316, 3158, 1579, 4738, 2369, 7108, 3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1163],
     [2326 > 1,
      0 is 2326 mod 2,
      1163 is 2326 // 2,
      collatz(1163, [1163, 3490, 1745, 5236, 2618, 1309, 3928, 1964, 982, 491, 1474, 737, 2212, 1106, 553, 1660, 830, 415, 1246, 623, 1870, 935, 2806, 1403, 4210, 2105, 6316, 3158, 1579, 4738, 2369, 7108, 3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2326 > 1, builtin, [], []).
step(0 is 2326 mod 2, builtin, [], []).
step(1163 is 2326 // 2, builtin, [], []).
step(collatz(1163, [1163, 3490, 1745, 5236, 2618, 1309, 3928, 1964, 982, 491, 1474, 737, 2212, 1106, 553, 1660, 830, 415, 1246, 623, 1870, 935, 2806, 1403, 4210, 2105, 6316, 3158, 1579, 4738, 2369, 7108, 3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 1163,
      'J' = [3490, 1745, 5236, 2618, 1309, 3928, 1964, 982, 491, 1474, 737, 2212, 1106, 553, 1660, 830, 415, 1246, 623, 1870, 935, 2806, 1403, 4210, 2105, 6316, 3158, 1579, 4738, 2369, 7108, 3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 3489,
      'N1' = 3490],
     [1163 > 1,
      1 is 1163 mod 2,
      3489 is 3 * 1163,
      3490 is 3489 + 1,
      collatz(3490, [3490, 1745, 5236, 2618, 1309, 3928, 1964, 982, 491, 1474, 737, 2212, 1106, 553, 1660, 830, 415, 1246, 623, 1870, 935, 2806, 1403, 4210, 2105, 6316, 3158, 1579, 4738, 2369, 7108, 3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1163 > 1, builtin, [], []).
step(1 is 1163 mod 2, builtin, [], []).
step(3489 is 3 * 1163, builtin, [], []).
step(3490 is 3489 + 1, builtin, [], []).
step(collatz(3490, [3490, 1745, 5236, 2618, 1309, 3928, 1964, 982, 491, 1474, 737, 2212, 1106, 553, 1660, 830, 415, 1246, 623, 1870, 935, 2806, 1403, 4210, 2105, 6316, 3158, 1579, 4738, 2369, 7108, 3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 3490,
      'J' = [1745, 5236, 2618, 1309, 3928, 1964, 982, 491, 1474, 737, 2212, 1106, 553, 1660, 830, 415, 1246, 623, 1870, 935, 2806, 1403, 4210, 2105, 6316, 3158, 1579, 4738, 2369, 7108, 3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1745],
     [3490 > 1,
      0 is 3490 mod 2,
      1745 is 3490 // 2,
      collatz(1745, [1745, 5236, 2618, 1309, 3928, 1964, 982, 491, 1474, 737, 2212, 1106, 553, 1660, 830, 415, 1246, 623, 1870, 935, 2806, 1403, 4210, 2105, 6316, 3158, 1579, 4738, 2369, 7108, 3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(3490 > 1, builtin, [], []).
step(0 is 3490 mod 2, builtin, [], []).
step(1745 is 3490 // 2, builtin, [], []).
step(collatz(1745, [1745, 5236, 2618, 1309, 3928, 1964, 982, 491, 1474, 737, 2212, 1106, 553, 1660, 830, 415, 1246, 623, 1870, 935, 2806, 1403, 4210, 2105, 6316, 3158, 1579, 4738, 2369, 7108, 3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 1745,
      'J' = [5236, 2618, 1309, 3928, 1964, 982, 491, 1474, 737, 2212, 1106, 553, 1660, 830, 415, 1246, 623, 1870, 935, 2806, 1403, 4210, 2105, 6316, 3158, 1579, 4738, 2369, 7108, 3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 5235,
      'N1' = 5236],
     [1745 > 1,
      1 is 1745 mod 2,
      5235 is 3 * 1745,
      5236 is 5235 + 1,
      collatz(5236, [5236, 2618, 1309, 3928, 1964, 982, 491, 1474, 737, 2212, 1106, 553, 1660, 830, 415, 1246, 623, 1870, 935, 2806, 1403, 4210, 2105, 6316, 3158, 1579, 4738, 2369, 7108, 3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1745 > 1, builtin, [], []).
step(1 is 1745 mod 2, builtin, [], []).
step(5235 is 3 * 1745, builtin, [], []).
step(5236 is 5235 + 1, builtin, [], []).
step(collatz(5236, [5236, 2618, 1309, 3928, 1964, 982, 491, 1474, 737, 2212, 1106, 553, 1660, 830, 415, 1246, 623, 1870, 935, 2806, 1403, 4210, 2105, 6316, 3158, 1579, 4738, 2369, 7108, 3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 5236,
      'J' = [2618, 1309, 3928, 1964, 982, 491, 1474, 737, 2212, 1106, 553, 1660, 830, 415, 1246, 623, 1870, 935, 2806, 1403, 4210, 2105, 6316, 3158, 1579, 4738, 2369, 7108, 3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 2618],
     [5236 > 1,
      0 is 5236 mod 2,
      2618 is 5236 // 2,
      collatz(2618, [2618, 1309, 3928, 1964, 982, 491, 1474, 737, 2212, 1106, 553, 1660, 830, 415, 1246, 623, 1870, 935, 2806, 1403, 4210, 2105, 6316, 3158, 1579, 4738, 2369, 7108, 3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(5236 > 1, builtin, [], []).
step(0 is 5236 mod 2, builtin, [], []).
step(2618 is 5236 // 2, builtin, [], []).
step(collatz(2618, [2618, 1309, 3928, 1964, 982, 491, 1474, 737, 2212, 1106, 553, 1660, 830, 415, 1246, 623, 1870, 935, 2806, 1403, 4210, 2105, 6316, 3158, 1579, 4738, 2369, 7108, 3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 2618,
      'J' = [1309, 3928, 1964, 982, 491, 1474, 737, 2212, 1106, 553, 1660, 830, 415, 1246, 623, 1870, 935, 2806, 1403, 4210, 2105, 6316, 3158, 1579, 4738, 2369, 7108, 3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1309],
     [2618 > 1,
      0 is 2618 mod 2,
      1309 is 2618 // 2,
      collatz(1309, [1309, 3928, 1964, 982, 491, 1474, 737, 2212, 1106, 553, 1660, 830, 415, 1246, 623, 1870, 935, 2806, 1403, 4210, 2105, 6316, 3158, 1579, 4738, 2369, 7108, 3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2618 > 1, builtin, [], []).
step(0 is 2618 mod 2, builtin, [], []).
step(1309 is 2618 // 2, builtin, [], []).
step(collatz(1309, [1309, 3928, 1964, 982, 491, 1474, 737, 2212, 1106, 553, 1660, 830, 415, 1246, 623, 1870, 935, 2806, 1403, 4210, 2105, 6316, 3158, 1579, 4738, 2369, 7108, 3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 1309,
      'J' = [3928, 1964, 982, 491, 1474, 737, 2212, 1106, 553, 1660, 830, 415, 1246, 623, 1870, 935, 2806, 1403, 4210, 2105, 6316, 3158, 1579, 4738, 2369, 7108, 3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 3927,
      'N1' = 3928],
     [1309 > 1,
      1 is 1309 mod 2,
      3927 is 3 * 1309,
      3928 is 3927 + 1,
      collatz(3928, [3928, 1964, 982, 491, 1474, 737, 2212, 1106, 553, 1660, 830, 415, 1246, 623, 1870, 935, 2806, 1403, 4210, 2105, 6316, 3158, 1579, 4738, 2369, 7108, 3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1309 > 1, builtin, [], []).
step(1 is 1309 mod 2, builtin, [], []).
step(3927 is 3 * 1309, builtin, [], []).
step(3928 is 3927 + 1, builtin, [], []).
step(collatz(3928, [3928, 1964, 982, 491, 1474, 737, 2212, 1106, 553, 1660, 830, 415, 1246, 623, 1870, 935, 2806, 1403, 4210, 2105, 6316, 3158, 1579, 4738, 2369, 7108, 3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 3928,
      'J' = [1964, 982, 491, 1474, 737, 2212, 1106, 553, 1660, 830, 415, 1246, 623, 1870, 935, 2806, 1403, 4210, 2105, 6316, 3158, 1579, 4738, 2369, 7108, 3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1964],
     [3928 > 1,
      0 is 3928 mod 2,
      1964 is 3928 // 2,
      collatz(1964, [1964, 982, 491, 1474, 737, 2212, 1106, 553, 1660, 830, 415, 1246, 623, 1870, 935, 2806, 1403, 4210, 2105, 6316, 3158, 1579, 4738, 2369, 7108, 3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(3928 > 1, builtin, [], []).
step(0 is 3928 mod 2, builtin, [], []).
step(1964 is 3928 // 2, builtin, [], []).
step(collatz(1964, [1964, 982, 491, 1474, 737, 2212, 1106, 553, 1660, 830, 415, 1246, 623, 1870, 935, 2806, 1403, 4210, 2105, 6316, 3158, 1579, 4738, 2369, 7108, 3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1964,
      'J' = [982, 491, 1474, 737, 2212, 1106, 553, 1660, 830, 415, 1246, 623, 1870, 935, 2806, 1403, 4210, 2105, 6316, 3158, 1579, 4738, 2369, 7108, 3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 982],
     [1964 > 1,
      0 is 1964 mod 2,
      982 is 1964 // 2,
      collatz(982, [982, 491, 1474, 737, 2212, 1106, 553, 1660, 830, 415, 1246, 623, 1870, 935, 2806, 1403, 4210, 2105, 6316, 3158, 1579, 4738, 2369, 7108, 3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1964 > 1, builtin, [], []).
step(0 is 1964 mod 2, builtin, [], []).
step(982 is 1964 // 2, builtin, [], []).
step(collatzTrajectory(774, [774, 387, 1162, 581, 1744, 872, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 774,
      'M' = [774, 387, 1162, 581, 1744, 872, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 226],
     [repeat(1000, 226),
      774 is 1000 - 226,
      collatz(774, [774, 387, 1162, 581, 1744, 872, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 226),
     rule(3),
     ['N' = 1000, 'I' = 226, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 226)]).
step(between(0, 999, 226), builtin, [], []).
step(774 is 1000 - 226, builtin, [], []).
step(collatz(774, [774, 387, 1162, 581, 1744, 872, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 774,
      'J' = [387, 1162, 581, 1744, 872, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 387],
     [774 > 1,
      0 is 774 mod 2,
      387 is 774 // 2,
      collatz(387, [387, 1162, 581, 1744, 872, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(774 > 1, builtin, [], []).
step(0 is 774 mod 2, builtin, [], []).
step(387 is 774 // 2, builtin, [], []).
step(collatz(387, [387, 1162, 581, 1744, 872, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 387,
      'J' = [1162, 581, 1744, 872, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 1161,
      'N1' = 1162],
     [387 > 1,
      1 is 387 mod 2,
      1161 is 3 * 387,
      1162 is 1161 + 1,
      collatz(1162, [1162, 581, 1744, 872, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(387 > 1, builtin, [], []).
step(1 is 387 mod 2, builtin, [], []).
step(1161 is 3 * 387, builtin, [], []).
step(1162 is 1161 + 1, builtin, [], []).
step(collatzTrajectory(773, [773, 2320, 1160, 580, 290, 145, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 773,
      'M' = [773, 2320, 1160, 580, 290, 145, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 227],
     [repeat(1000, 227),
      773 is 1000 - 227,
      collatz(773, [773, 2320, 1160, 580, 290, 145, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 227),
     rule(3),
     ['N' = 1000, 'I' = 227, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 227)]).
step(between(0, 999, 227), builtin, [], []).
step(773 is 1000 - 227, builtin, [], []).
step(collatzTrajectory(772, [772, 386, 193, 580, 290, 145, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 772,
      'M' = [772, 386, 193, 580, 290, 145, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 228],
     [repeat(1000, 228),
      772 is 1000 - 228,
      collatz(772, [772, 386, 193, 580, 290, 145, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 228),
     rule(3),
     ['N' = 1000, 'I' = 228, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 228)]).
step(between(0, 999, 228), builtin, [], []).
step(772 is 1000 - 228, builtin, [], []).
step(collatzTrajectory(771, [771, 2314, 1157, 3472, 1736, 868, 434, 217, 652, 326, 163, 490, 245, 736, 368, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 771,
      'M' = [771, 2314, 1157, 3472, 1736, 868, 434, 217, 652, 326, 163, 490, 245, 736, 368, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 229],
     [repeat(1000, 229),
      771 is 1000 - 229,
      collatz(771, [771, 2314, 1157, 3472, 1736, 868, 434, 217, 652, 326, 163, 490, 245, 736, 368, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 229),
     rule(3),
     ['N' = 1000, 'I' = 229, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 229)]).
step(between(0, 999, 229), builtin, [], []).
step(771 is 1000 - 229, builtin, [], []).
step(collatz(771, [771, 2314, 1157, 3472, 1736, 868, 434, 217, 652, 326, 163, 490, 245, 736, 368, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 771,
      'J' = [2314, 1157, 3472, 1736, 868, 434, 217, 652, 326, 163, 490, 245, 736, 368, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 2313,
      'N1' = 2314],
     [771 > 1,
      1 is 771 mod 2,
      2313 is 3 * 771,
      2314 is 2313 + 1,
      collatz(2314, [2314, 1157, 3472, 1736, 868, 434, 217, 652, 326, 163, 490, 245, 736, 368, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(771 > 1, builtin, [], []).
step(1 is 771 mod 2, builtin, [], []).
step(2313 is 3 * 771, builtin, [], []).
step(2314 is 2313 + 1, builtin, [], []).
step(collatz(2314, [2314, 1157, 3472, 1736, 868, 434, 217, 652, 326, 163, 490, 245, 736, 368, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 2314,
      'J' = [1157, 3472, 1736, 868, 434, 217, 652, 326, 163, 490, 245, 736, 368, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1157],
     [2314 > 1,
      0 is 2314 mod 2,
      1157 is 2314 // 2,
      collatz(1157, [1157, 3472, 1736, 868, 434, 217, 652, 326, 163, 490, 245, 736, 368, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2314 > 1, builtin, [], []).
step(0 is 2314 mod 2, builtin, [], []).
step(1157 is 2314 // 2, builtin, [], []).
step(collatz(1157, [1157, 3472, 1736, 868, 434, 217, 652, 326, 163, 490, 245, 736, 368, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 1157,
      'J' = [3472, 1736, 868, 434, 217, 652, 326, 163, 490, 245, 736, 368, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 3471,
      'N1' = 3472],
     [1157 > 1,
      1 is 1157 mod 2,
      3471 is 3 * 1157,
      3472 is 3471 + 1,
      collatz(3472, [3472, 1736, 868, 434, 217, 652, 326, 163, 490, 245, 736, 368, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1157 > 1, builtin, [], []).
step(1 is 1157 mod 2, builtin, [], []).
step(3471 is 3 * 1157, builtin, [], []).
step(3472 is 3471 + 1, builtin, [], []).
step(collatz(3472, [3472, 1736, 868, 434, 217, 652, 326, 163, 490, 245, 736, 368, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 3472,
      'J' = [1736, 868, 434, 217, 652, 326, 163, 490, 245, 736, 368, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1736],
     [3472 > 1,
      0 is 3472 mod 2,
      1736 is 3472 // 2,
      collatz(1736, [1736, 868, 434, 217, 652, 326, 163, 490, 245, 736, 368, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(3472 > 1, builtin, [], []).
step(0 is 3472 mod 2, builtin, [], []).
step(1736 is 3472 // 2, builtin, [], []).
step(collatz(1736, [1736, 868, 434, 217, 652, 326, 163, 490, 245, 736, 368, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1736,
      'J' = [868, 434, 217, 652, 326, 163, 490, 245, 736, 368, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 868],
     [1736 > 1,
      0 is 1736 mod 2,
      868 is 1736 // 2,
      collatz(868, [868, 434, 217, 652, 326, 163, 490, 245, 736, 368, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1736 > 1, builtin, [], []).
step(0 is 1736 mod 2, builtin, [], []).
step(868 is 1736 // 2, builtin, [], []).
step(collatzTrajectory(770, [770, 385, 1156, 578, 289, 868, 434, 217, 652, 326, 163, 490, 245, 736, 368, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 770,
      'M' = [770, 385, 1156, 578, 289, 868, 434, 217, 652, 326, 163, 490, 245, 736, 368, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 230],
     [repeat(1000, 230),
      770 is 1000 - 230,
      collatz(770, [770, 385, 1156, 578, 289, 868, 434, 217, 652, 326, 163, 490, 245, 736, 368, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 230),
     rule(3),
     ['N' = 1000, 'I' = 230, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 230)]).
step(between(0, 999, 230), builtin, [], []).
step(770 is 1000 - 230, builtin, [], []).
step(collatz(770, [770, 385, 1156, 578, 289, 868, 434, 217, 652, 326, 163, 490, 245, 736, 368, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 770,
      'J' = [385, 1156, 578, 289, 868, 434, 217, 652, 326, 163, 490, 245, 736, 368, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 385],
     [770 > 1,
      0 is 770 mod 2,
      385 is 770 // 2,
      collatz(385, [385, 1156, 578, 289, 868, 434, 217, 652, 326, 163, 490, 245, 736, 368, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(770 > 1, builtin, [], []).
step(0 is 770 mod 2, builtin, [], []).
step(385 is 770 // 2, builtin, [], []).
step(collatz(385, [385, 1156, 578, 289, 868, 434, 217, 652, 326, 163, 490, 245, 736, 368, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 385,
      'J' = [1156, 578, 289, 868, 434, 217, 652, 326, 163, 490, 245, 736, 368, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 1155,
      'N1' = 1156],
     [385 > 1,
      1 is 385 mod 2,
      1155 is 3 * 385,
      1156 is 1155 + 1,
      collatz(1156, [1156, 578, 289, 868, 434, 217, 652, 326, 163, 490, 245, 736, 368, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(385 > 1, builtin, [], []).
step(1 is 385 mod 2, builtin, [], []).
step(1155 is 3 * 385, builtin, [], []).
step(1156 is 1155 + 1, builtin, [], []).
step(collatz(1156, [1156, 578, 289, 868, 434, 217, 652, 326, 163, 490, 245, 736, 368, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1156,
      'J' = [578, 289, 868, 434, 217, 652, 326, 163, 490, 245, 736, 368, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 578],
     [1156 > 1,
      0 is 1156 mod 2,
      578 is 1156 // 2,
      collatz(578, [578, 289, 868, 434, 217, 652, 326, 163, 490, 245, 736, 368, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1156 > 1, builtin, [], []).
step(0 is 1156 mod 2, builtin, [], []).
step(578 is 1156 // 2, builtin, [], []).
step(collatz(578, [578, 289, 868, 434, 217, 652, 326, 163, 490, 245, 736, 368, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 578,
      'J' = [289, 868, 434, 217, 652, 326, 163, 490, 245, 736, 368, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 289],
     [578 > 1,
      0 is 578 mod 2,
      289 is 578 // 2,
      collatz(289, [289, 868, 434, 217, 652, 326, 163, 490, 245, 736, 368, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(578 > 1, builtin, [], []).
step(0 is 578 mod 2, builtin, [], []).
step(289 is 578 // 2, builtin, [], []).
step(collatz(289, [289, 868, 434, 217, 652, 326, 163, 490, 245, 736, 368, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 289,
      'J' = [868, 434, 217, 652, 326, 163, 490, 245, 736, 368, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 867,
      'N1' = 868],
     [289 > 1,
      1 is 289 mod 2,
      867 is 3 * 289,
      868 is 867 + 1,
      collatz(868, [868, 434, 217, 652, 326, 163, 490, 245, 736, 368, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(289 > 1, builtin, [], []).
step(1 is 289 mod 2, builtin, [], []).
step(867 is 3 * 289, builtin, [], []).
step(868 is 867 + 1, builtin, [], []).
step(collatzTrajectory(769, [769, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 769,
      'M' = [769, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 231],
     [repeat(1000, 231),
      769 is 1000 - 231,
      collatz(769, [769, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 231),
     rule(3),
     ['N' = 1000, 'I' = 231, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 231)]).
step(between(0, 999, 231), builtin, [], []).
step(769 is 1000 - 231, builtin, [], []).
step(collatzTrajectory(768, [768, 384, 192, 96, 48, 24, 12, 6, 3, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 768, 'M' = [768, 384, 192, 96, 48, 24, 12, 6, 3, 10, 5, 16, 8, 4, 2, 1], 'N0' = 232],
     [repeat(1000, 232),
      768 is 1000 - 232,
      collatz(768, [768, 384, 192, 96, 48, 24, 12, 6, 3, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 232),
     rule(3),
     ['N' = 1000, 'I' = 232, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 232)]).
step(between(0, 999, 232), builtin, [], []).
step(768 is 1000 - 232, builtin, [], []).
step(collatz(768, [768, 384, 192, 96, 48, 24, 12, 6, 3, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 768, 'J' = [384, 192, 96, 48, 24, 12, 6, 3, 10, 5, 16, 8, 4, 2, 1], 'N1' = 384],
     [768 > 1,
      0 is 768 mod 2,
      384 is 768 // 2,
      collatz(384, [384, 192, 96, 48, 24, 12, 6, 3, 10, 5, 16, 8, 4, 2, 1])]).
step(768 > 1, builtin, [], []).
step(0 is 768 mod 2, builtin, [], []).
step(384 is 768 // 2, builtin, [], []).
step(collatz(384, [384, 192, 96, 48, 24, 12, 6, 3, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 384, 'J' = [192, 96, 48, 24, 12, 6, 3, 10, 5, 16, 8, 4, 2, 1], 'N1' = 192],
     [384 > 1,
      0 is 384 mod 2,
      192 is 384 // 2,
      collatz(192, [192, 96, 48, 24, 12, 6, 3, 10, 5, 16, 8, 4, 2, 1])]).
step(384 > 1, builtin, [], []).
step(0 is 384 mod 2, builtin, [], []).
step(192 is 384 // 2, builtin, [], []).
step(collatz(192, [192, 96, 48, 24, 12, 6, 3, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 192, 'J' = [96, 48, 24, 12, 6, 3, 10, 5, 16, 8, 4, 2, 1], 'N1' = 96],
     [192 > 1,
      0 is 192 mod 2,
      96 is 192 // 2,
      collatz(96, [96, 48, 24, 12, 6, 3, 10, 5, 16, 8, 4, 2, 1])]).
step(192 > 1, builtin, [], []).
step(0 is 192 mod 2, builtin, [], []).
step(96 is 192 // 2, builtin, [], []).
step(collatz(96, [96, 48, 24, 12, 6, 3, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 96, 'J' = [48, 24, 12, 6, 3, 10, 5, 16, 8, 4, 2, 1], 'N1' = 48],
     [96 > 1,
      0 is 96 mod 2,
      48 is 96 // 2,
      collatz(48, [48, 24, 12, 6, 3, 10, 5, 16, 8, 4, 2, 1])]).
step(96 > 1, builtin, [], []).
step(0 is 96 mod 2, builtin, [], []).
step(48 is 96 // 2, builtin, [], []).
step(collatz(48, [48, 24, 12, 6, 3, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 48, 'J' = [24, 12, 6, 3, 10, 5, 16, 8, 4, 2, 1], 'N1' = 24],
     [48 > 1, 0 is 48 mod 2, 24 is 48 // 2, collatz(24, [24, 12, 6, 3, 10, 5, 16, 8, 4, 2, 1])]).
step(48 > 1, builtin, [], []).
step(0 is 48 mod 2, builtin, [], []).
step(24 is 48 // 2, builtin, [], []).
step(collatz(24, [24, 12, 6, 3, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 24, 'J' = [12, 6, 3, 10, 5, 16, 8, 4, 2, 1], 'N1' = 12],
     [24 > 1, 0 is 24 mod 2, 12 is 24 // 2, collatz(12, [12, 6, 3, 10, 5, 16, 8, 4, 2, 1])]).
step(24 > 1, builtin, [], []).
step(0 is 24 mod 2, builtin, [], []).
step(12 is 24 // 2, builtin, [], []).
step(collatz(12, [12, 6, 3, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 12, 'J' = [6, 3, 10, 5, 16, 8, 4, 2, 1], 'N1' = 6],
     [12 > 1, 0 is 12 mod 2, 6 is 12 // 2, collatz(6, [6, 3, 10, 5, 16, 8, 4, 2, 1])]).
step(12 > 1, builtin, [], []).
step(0 is 12 mod 2, builtin, [], []).
step(6 is 12 // 2, builtin, [], []).
step(collatz(6, [6, 3, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 6, 'J' = [3, 10, 5, 16, 8, 4, 2, 1], 'N1' = 3],
     [6 > 1, 0 is 6 mod 2, 3 is 6 // 2, collatz(3, [3, 10, 5, 16, 8, 4, 2, 1])]).
step(6 > 1, builtin, [], []).
step(0 is 6 mod 2, builtin, [], []).
step(3 is 6 // 2, builtin, [], []).
step(collatz(3, [3, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 3, 'J' = [10, 5, 16, 8, 4, 2, 1], 'T' = 9, 'N1' = 10],
     [3 > 1, 1 is 3 mod 2, 9 is 3 * 3, 10 is 9 + 1, collatz(10, [10, 5, 16, 8, 4, 2, 1])]).
step(3 > 1, builtin, [], []).
step(1 is 3 mod 2, builtin, [], []).
step(9 is 3 * 3, builtin, [], []).
step(10 is 9 + 1, builtin, [], []).
step(collatzTrajectory(767, [767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 767,
      'M' = [767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 233],
     [repeat(1000, 233),
      767 is 1000 - 233,
      collatz(767, [767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 233),
     rule(3),
     ['N' = 1000, 'I' = 233, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 233)]).
step(between(0, 999, 233), builtin, [], []).
step(767 is 1000 - 233, builtin, [], []).
step(collatzTrajectory(766, [766, 383, 1150, 575, 1726, 863, 2590, 1295, 3886, 1943, 5830, 2915, 8746, 4373, 13120, 6560, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 766,
      'M' = [766, 383, 1150, 575, 1726, 863, 2590, 1295, 3886, 1943, 5830, 2915, 8746, 4373, 13120, 6560, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 234],
     [repeat(1000, 234),
      766 is 1000 - 234,
      collatz(766, [766, 383, 1150, 575, 1726, 863, 2590, 1295, 3886, 1943, 5830, 2915, 8746, 4373, 13120, 6560, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 234),
     rule(3),
     ['N' = 1000, 'I' = 234, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 234)]).
step(between(0, 999, 234), builtin, [], []).
step(766 is 1000 - 234, builtin, [], []).
step(collatzTrajectory(765, [765, 2296, 1148, 574, 287, 862, 431, 1294, 647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 765,
      'M' = [765, 2296, 1148, 574, 287, 862, 431, 1294, 647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 235],
     [repeat(1000, 235),
      765 is 1000 - 235,
      collatz(765, [765, 2296, 1148, 574, 287, 862, 431, 1294, 647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 235),
     rule(3),
     ['N' = 1000, 'I' = 235, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 235)]).
step(between(0, 999, 235), builtin, [], []).
step(765 is 1000 - 235, builtin, [], []).
step(collatz(765, [765, 2296, 1148, 574, 287, 862, 431, 1294, 647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 765,
      'J' = [2296, 1148, 574, 287, 862, 431, 1294, 647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 2295,
      'N1' = 2296],
     [765 > 1,
      1 is 765 mod 2,
      2295 is 3 * 765,
      2296 is 2295 + 1,
      collatz(2296, [2296, 1148, 574, 287, 862, 431, 1294, 647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(765 > 1, builtin, [], []).
step(1 is 765 mod 2, builtin, [], []).
step(2295 is 3 * 765, builtin, [], []).
step(2296 is 2295 + 1, builtin, [], []).
step(collatz(2296, [2296, 1148, 574, 287, 862, 431, 1294, 647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 2296,
      'J' = [1148, 574, 287, 862, 431, 1294, 647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1148],
     [2296 > 1,
      0 is 2296 mod 2,
      1148 is 2296 // 2,
      collatz(1148, [1148, 574, 287, 862, 431, 1294, 647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2296 > 1, builtin, [], []).
step(0 is 2296 mod 2, builtin, [], []).
step(1148 is 2296 // 2, builtin, [], []).
step(collatz(1148, [1148, 574, 287, 862, 431, 1294, 647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1148,
      'J' = [574, 287, 862, 431, 1294, 647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 574],
     [1148 > 1,
      0 is 1148 mod 2,
      574 is 1148 // 2,
      collatz(574, [574, 287, 862, 431, 1294, 647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1148 > 1, builtin, [], []).
step(0 is 1148 mod 2, builtin, [], []).
step(574 is 1148 // 2, builtin, [], []).
step(collatzTrajectory(764, [764, 382, 191, 574, 287, 862, 431, 1294, 647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 764,
      'M' = [764, 382, 191, 574, 287, 862, 431, 1294, 647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 236],
     [repeat(1000, 236),
      764 is 1000 - 236,
      collatz(764, [764, 382, 191, 574, 287, 862, 431, 1294, 647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 236),
     rule(3),
     ['N' = 1000, 'I' = 236, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 236)]).
step(between(0, 999, 236), builtin, [], []).
step(764 is 1000 - 236, builtin, [], []).
step(collatz(764, [764, 382, 191, 574, 287, 862, 431, 1294, 647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 764,
      'J' = [382, 191, 574, 287, 862, 431, 1294, 647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 382],
     [764 > 1,
      0 is 764 mod 2,
      382 is 764 // 2,
      collatz(382, [382, 191, 574, 287, 862, 431, 1294, 647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(764 > 1, builtin, [], []).
step(0 is 764 mod 2, builtin, [], []).
step(382 is 764 // 2, builtin, [], []).
step(collatzTrajectory(763, [763, 2290, 1145, 3436, 1718, 859, 2578, 1289, 3868, 1934, 967, 2902, 1451, 4354, 2177, 6532, 3266, 1633, 4900, 2450, 1225, 3676, 1838, 919, 2758, 1379, 4138, 2069, 6208, 3104, 1552, 776, 388, 194, 97, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 763,
      'M' = [763, 2290, 1145, 3436, 1718, 859, 2578, 1289, 3868, 1934, 967, 2902, 1451, 4354, 2177, 6532, 3266, 1633, 4900, 2450, 1225, 3676, 1838, 919, 2758, 1379, 4138, 2069, 6208, 3104, 1552, 776, 388, 194, 97, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 237],
     [repeat(1000, 237),
      763 is 1000 - 237,
      collatz(763, [763, 2290, 1145, 3436, 1718, 859, 2578, 1289, 3868, 1934, 967, 2902, 1451, 4354, 2177, 6532, 3266, 1633, 4900, 2450, 1225, 3676, 1838, 919, 2758, 1379, 4138, 2069, 6208, 3104, 1552, 776, 388, 194, 97, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 237),
     rule(3),
     ['N' = 1000, 'I' = 237, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 237)]).
step(between(0, 999, 237), builtin, [], []).
step(763 is 1000 - 237, builtin, [], []).
step(collatz(763, [763, 2290, 1145, 3436, 1718, 859, 2578, 1289, 3868, 1934, 967, 2902, 1451, 4354, 2177, 6532, 3266, 1633, 4900, 2450, 1225, 3676, 1838, 919, 2758, 1379, 4138, 2069, 6208, 3104, 1552, 776, 388, 194, 97, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 763,
      'J' = [2290, 1145, 3436, 1718, 859, 2578, 1289, 3868, 1934, 967, 2902, 1451, 4354, 2177, 6532, 3266, 1633, 4900, 2450, 1225, 3676, 1838, 919, 2758, 1379, 4138, 2069, 6208, 3104, 1552, 776, 388, 194, 97, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 2289,
      'N1' = 2290],
     [763 > 1,
      1 is 763 mod 2,
      2289 is 3 * 763,
      2290 is 2289 + 1,
      collatz(2290, [2290, 1145, 3436, 1718, 859, 2578, 1289, 3868, 1934, 967, 2902, 1451, 4354, 2177, 6532, 3266, 1633, 4900, 2450, 1225, 3676, 1838, 919, 2758, 1379, 4138, 2069, 6208, 3104, 1552, 776, 388, 194, 97, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(763 > 1, builtin, [], []).
step(1 is 763 mod 2, builtin, [], []).
step(2289 is 3 * 763, builtin, [], []).
step(2290 is 2289 + 1, builtin, [], []).
step(collatz(2290, [2290, 1145, 3436, 1718, 859, 2578, 1289, 3868, 1934, 967, 2902, 1451, 4354, 2177, 6532, 3266, 1633, 4900, 2450, 1225, 3676, 1838, 919, 2758, 1379, 4138, 2069, 6208, 3104, 1552, 776, 388, 194, 97, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 2290,
      'J' = [1145, 3436, 1718, 859, 2578, 1289, 3868, 1934, 967, 2902, 1451, 4354, 2177, 6532, 3266, 1633, 4900, 2450, 1225, 3676, 1838, 919, 2758, 1379, 4138, 2069, 6208, 3104, 1552, 776, 388, 194, 97, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1145],
     [2290 > 1,
      0 is 2290 mod 2,
      1145 is 2290 // 2,
      collatz(1145, [1145, 3436, 1718, 859, 2578, 1289, 3868, 1934, 967, 2902, 1451, 4354, 2177, 6532, 3266, 1633, 4900, 2450, 1225, 3676, 1838, 919, 2758, 1379, 4138, 2069, 6208, 3104, 1552, 776, 388, 194, 97, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2290 > 1, builtin, [], []).
step(0 is 2290 mod 2, builtin, [], []).
step(1145 is 2290 // 2, builtin, [], []).
step(collatz(1145, [1145, 3436, 1718, 859, 2578, 1289, 3868, 1934, 967, 2902, 1451, 4354, 2177, 6532, 3266, 1633, 4900, 2450, 1225, 3676, 1838, 919, 2758, 1379, 4138, 2069, 6208, 3104, 1552, 776, 388, 194, 97, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 1145,
      'J' = [3436, 1718, 859, 2578, 1289, 3868, 1934, 967, 2902, 1451, 4354, 2177, 6532, 3266, 1633, 4900, 2450, 1225, 3676, 1838, 919, 2758, 1379, 4138, 2069, 6208, 3104, 1552, 776, 388, 194, 97, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 3435,
      'N1' = 3436],
     [1145 > 1,
      1 is 1145 mod 2,
      3435 is 3 * 1145,
      3436 is 3435 + 1,
      collatz(3436, [3436, 1718, 859, 2578, 1289, 3868, 1934, 967, 2902, 1451, 4354, 2177, 6532, 3266, 1633, 4900, 2450, 1225, 3676, 1838, 919, 2758, 1379, 4138, 2069, 6208, 3104, 1552, 776, 388, 194, 97, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1145 > 1, builtin, [], []).
step(1 is 1145 mod 2, builtin, [], []).
step(3435 is 3 * 1145, builtin, [], []).
step(3436 is 3435 + 1, builtin, [], []).
step(collatz(3436, [3436, 1718, 859, 2578, 1289, 3868, 1934, 967, 2902, 1451, 4354, 2177, 6532, 3266, 1633, 4900, 2450, 1225, 3676, 1838, 919, 2758, 1379, 4138, 2069, 6208, 3104, 1552, 776, 388, 194, 97, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 3436,
      'J' = [1718, 859, 2578, 1289, 3868, 1934, 967, 2902, 1451, 4354, 2177, 6532, 3266, 1633, 4900, 2450, 1225, 3676, 1838, 919, 2758, 1379, 4138, 2069, 6208, 3104, 1552, 776, 388, 194, 97, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1718],
     [3436 > 1,
      0 is 3436 mod 2,
      1718 is 3436 // 2,
      collatz(1718, [1718, 859, 2578, 1289, 3868, 1934, 967, 2902, 1451, 4354, 2177, 6532, 3266, 1633, 4900, 2450, 1225, 3676, 1838, 919, 2758, 1379, 4138, 2069, 6208, 3104, 1552, 776, 388, 194, 97, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(3436 > 1, builtin, [], []).
step(0 is 3436 mod 2, builtin, [], []).
step(1718 is 3436 // 2, builtin, [], []).
step(collatz(1718, [1718, 859, 2578, 1289, 3868, 1934, 967, 2902, 1451, 4354, 2177, 6532, 3266, 1633, 4900, 2450, 1225, 3676, 1838, 919, 2758, 1379, 4138, 2069, 6208, 3104, 1552, 776, 388, 194, 97, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1718,
      'J' = [859, 2578, 1289, 3868, 1934, 967, 2902, 1451, 4354, 2177, 6532, 3266, 1633, 4900, 2450, 1225, 3676, 1838, 919, 2758, 1379, 4138, 2069, 6208, 3104, 1552, 776, 388, 194, 97, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 859],
     [1718 > 1,
      0 is 1718 mod 2,
      859 is 1718 // 2,
      collatz(859, [859, 2578, 1289, 3868, 1934, 967, 2902, 1451, 4354, 2177, 6532, 3266, 1633, 4900, 2450, 1225, 3676, 1838, 919, 2758, 1379, 4138, 2069, 6208, 3104, 1552, 776, 388, 194, 97, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1718 > 1, builtin, [], []).
step(0 is 1718 mod 2, builtin, [], []).
step(859 is 1718 // 2, builtin, [], []).
step(collatzTrajectory(762, [762, 381, 1144, 572, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 762,
      'M' = [762, 381, 1144, 572, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 238],
     [repeat(1000, 238),
      762 is 1000 - 238,
      collatz(762, [762, 381, 1144, 572, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 238),
     rule(3),
     ['N' = 1000, 'I' = 238, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 238)]).
step(between(0, 999, 238), builtin, [], []).
step(762 is 1000 - 238, builtin, [], []).
step(collatz(762, [762, 381, 1144, 572, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 762,
      'J' = [381, 1144, 572, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 381],
     [762 > 1,
      0 is 762 mod 2,
      381 is 762 // 2,
      collatz(381, [381, 1144, 572, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(762 > 1, builtin, [], []).
step(0 is 762 mod 2, builtin, [], []).
step(381 is 762 // 2, builtin, [], []).
step(collatz(381, [381, 1144, 572, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 381,
      'J' = [1144, 572, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 1143,
      'N1' = 1144],
     [381 > 1,
      1 is 381 mod 2,
      1143 is 3 * 381,
      1144 is 1143 + 1,
      collatz(1144, [1144, 572, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(381 > 1, builtin, [], []).
step(1 is 381 mod 2, builtin, [], []).
step(1143 is 3 * 381, builtin, [], []).
step(1144 is 1143 + 1, builtin, [], []).
step(collatzTrajectory(761, [761, 2284, 1142, 571, 1714, 857, 2572, 1286, 643, 1930, 965, 2896, 1448, 724, 362, 181, 544, 272, 136, 68, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 761,
      'M' = [761, 2284, 1142, 571, 1714, 857, 2572, 1286, 643, 1930, 965, 2896, 1448, 724, 362, 181, 544, 272, 136, 68, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 239],
     [repeat(1000, 239),
      761 is 1000 - 239,
      collatz(761, [761, 2284, 1142, 571, 1714, 857, 2572, 1286, 643, 1930, 965, 2896, 1448, 724, 362, 181, 544, 272, 136, 68, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 239),
     rule(3),
     ['N' = 1000, 'I' = 239, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 239)]).
step(between(0, 999, 239), builtin, [], []).
step(761 is 1000 - 239, builtin, [], []).
step(collatz(761, [761, 2284, 1142, 571, 1714, 857, 2572, 1286, 643, 1930, 965, 2896, 1448, 724, 362, 181, 544, 272, 136, 68, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 761,
      'J' = [2284, 1142, 571, 1714, 857, 2572, 1286, 643, 1930, 965, 2896, 1448, 724, 362, 181, 544, 272, 136, 68, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 2283,
      'N1' = 2284],
     [761 > 1,
      1 is 761 mod 2,
      2283 is 3 * 761,
      2284 is 2283 + 1,
      collatz(2284, [2284, 1142, 571, 1714, 857, 2572, 1286, 643, 1930, 965, 2896, 1448, 724, 362, 181, 544, 272, 136, 68, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(761 > 1, builtin, [], []).
step(1 is 761 mod 2, builtin, [], []).
step(2283 is 3 * 761, builtin, [], []).
step(2284 is 2283 + 1, builtin, [], []).
step(collatz(2284, [2284, 1142, 571, 1714, 857, 2572, 1286, 643, 1930, 965, 2896, 1448, 724, 362, 181, 544, 272, 136, 68, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 2284,
      'J' = [1142, 571, 1714, 857, 2572, 1286, 643, 1930, 965, 2896, 1448, 724, 362, 181, 544, 272, 136, 68, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1142],
     [2284 > 1,
      0 is 2284 mod 2,
      1142 is 2284 // 2,
      collatz(1142, [1142, 571, 1714, 857, 2572, 1286, 643, 1930, 965, 2896, 1448, 724, 362, 181, 544, 272, 136, 68, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2284 > 1, builtin, [], []).
step(0 is 2284 mod 2, builtin, [], []).
step(1142 is 2284 // 2, builtin, [], []).
step(collatz(1142, [1142, 571, 1714, 857, 2572, 1286, 643, 1930, 965, 2896, 1448, 724, 362, 181, 544, 272, 136, 68, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1142,
      'J' = [571, 1714, 857, 2572, 1286, 643, 1930, 965, 2896, 1448, 724, 362, 181, 544, 272, 136, 68, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 571],
     [1142 > 1,
      0 is 1142 mod 2,
      571 is 1142 // 2,
      collatz(571, [571, 1714, 857, 2572, 1286, 643, 1930, 965, 2896, 1448, 724, 362, 181, 544, 272, 136, 68, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1142 > 1, builtin, [], []).
step(0 is 1142 mod 2, builtin, [], []).
step(571 is 1142 // 2, builtin, [], []).
step(collatz(571, [571, 1714, 857, 2572, 1286, 643, 1930, 965, 2896, 1448, 724, 362, 181, 544, 272, 136, 68, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 571,
      'J' = [1714, 857, 2572, 1286, 643, 1930, 965, 2896, 1448, 724, 362, 181, 544, 272, 136, 68, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 1713,
      'N1' = 1714],
     [571 > 1,
      1 is 571 mod 2,
      1713 is 3 * 571,
      1714 is 1713 + 1,
      collatz(1714, [1714, 857, 2572, 1286, 643, 1930, 965, 2896, 1448, 724, 362, 181, 544, 272, 136, 68, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(571 > 1, builtin, [], []).
step(1 is 571 mod 2, builtin, [], []).
step(1713 is 3 * 571, builtin, [], []).
step(1714 is 1713 + 1, builtin, [], []).
step(collatz(1714, [1714, 857, 2572, 1286, 643, 1930, 965, 2896, 1448, 724, 362, 181, 544, 272, 136, 68, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1714,
      'J' = [857, 2572, 1286, 643, 1930, 965, 2896, 1448, 724, 362, 181, 544, 272, 136, 68, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 857],
     [1714 > 1,
      0 is 1714 mod 2,
      857 is 1714 // 2,
      collatz(857, [857, 2572, 1286, 643, 1930, 965, 2896, 1448, 724, 362, 181, 544, 272, 136, 68, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1714 > 1, builtin, [], []).
step(0 is 1714 mod 2, builtin, [], []).
step(857 is 1714 // 2, builtin, [], []).
step(collatzTrajectory(760, [760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 760,
      'M' = [760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 240],
     [repeat(1000, 240),
      760 is 1000 - 240,
      collatz(760, [760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 240),
     rule(3),
     ['N' = 1000, 'I' = 240, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 240)]).
step(between(0, 999, 240), builtin, [], []).
step(760 is 1000 - 240, builtin, [], []).
step(collatzTrajectory(759, [759, 2278, 1139, 3418, 1709, 5128, 2564, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 759,
      'M' = [759, 2278, 1139, 3418, 1709, 5128, 2564, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 241],
     [repeat(1000, 241),
      759 is 1000 - 241,
      collatz(759, [759, 2278, 1139, 3418, 1709, 5128, 2564, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 241),
     rule(3),
     ['N' = 1000, 'I' = 241, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 241)]).
step(between(0, 999, 241), builtin, [], []).
step(759 is 1000 - 241, builtin, [], []).
step(collatz(759, [759, 2278, 1139, 3418, 1709, 5128, 2564, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 759,
      'J' = [2278, 1139, 3418, 1709, 5128, 2564, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 2277,
      'N1' = 2278],
     [759 > 1,
      1 is 759 mod 2,
      2277 is 3 * 759,
      2278 is 2277 + 1,
      collatz(2278, [2278, 1139, 3418, 1709, 5128, 2564, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(759 > 1, builtin, [], []).
step(1 is 759 mod 2, builtin, [], []).
step(2277 is 3 * 759, builtin, [], []).
step(2278 is 2277 + 1, builtin, [], []).
step(collatzTrajectory(758, [758, 379, 1138, 569, 1708, 854, 427, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 758,
      'M' = [758, 379, 1138, 569, 1708, 854, 427, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 242],
     [repeat(1000, 242),
      758 is 1000 - 242,
      collatz(758, [758, 379, 1138, 569, 1708, 854, 427, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 242),
     rule(3),
     ['N' = 1000, 'I' = 242, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 242)]).
step(between(0, 999, 242), builtin, [], []).
step(758 is 1000 - 242, builtin, [], []).
step(collatzTrajectory(757, [757, 2272, 1136, 568, 284, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 757,
      'M' = [757, 2272, 1136, 568, 284, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 243],
     [repeat(1000, 243),
      757 is 1000 - 243,
      collatz(757, [757, 2272, 1136, 568, 284, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 243),
     rule(3),
     ['N' = 1000, 'I' = 243, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 243)]).
step(between(0, 999, 243), builtin, [], []).
step(757 is 1000 - 243, builtin, [], []).
step(collatz(757, [757, 2272, 1136, 568, 284, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 757,
      'J' = [2272, 1136, 568, 284, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 2271,
      'N1' = 2272],
     [757 > 1,
      1 is 757 mod 2,
      2271 is 3 * 757,
      2272 is 2271 + 1,
      collatz(2272, [2272, 1136, 568, 284, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(757 > 1, builtin, [], []).
step(1 is 757 mod 2, builtin, [], []).
step(2271 is 3 * 757, builtin, [], []).
step(2272 is 2271 + 1, builtin, [], []).
step(collatz(2272, [2272, 1136, 568, 284, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 2272,
      'J' = [1136, 568, 284, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1136],
     [2272 > 1,
      0 is 2272 mod 2,
      1136 is 2272 // 2,
      collatz(1136, [1136, 568, 284, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2272 > 1, builtin, [], []).
step(0 is 2272 mod 2, builtin, [], []).
step(1136 is 2272 // 2, builtin, [], []).
step(collatz(1136, [1136, 568, 284, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1136,
      'J' = [568, 284, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 568],
     [1136 > 1,
      0 is 1136 mod 2,
      568 is 1136 // 2,
      collatz(568, [568, 284, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1136 > 1, builtin, [], []).
step(0 is 1136 mod 2, builtin, [], []).
step(568 is 1136 // 2, builtin, [], []).
step(collatz(568, [568, 284, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 568,
      'J' = [284, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 284],
     [568 > 1,
      0 is 568 mod 2,
      284 is 568 // 2,
      collatz(284, [284, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(568 > 1, builtin, [], []).
step(0 is 568 mod 2, builtin, [], []).
step(284 is 568 // 2, builtin, [], []).
step(collatz(284, [284, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 284,
      'J' = [142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 142],
     [284 > 1,
      0 is 284 mod 2,
      142 is 284 // 2,
      collatz(142, [142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(284 > 1, builtin, [], []).
step(0 is 284 mod 2, builtin, [], []).
step(142 is 284 // 2, builtin, [], []).
step(collatzTrajectory(756, [756, 378, 189, 568, 284, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 756,
      'M' = [756, 378, 189, 568, 284, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 244],
     [repeat(1000, 244),
      756 is 1000 - 244,
      collatz(756, [756, 378, 189, 568, 284, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 244),
     rule(3),
     ['N' = 1000, 'I' = 244, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 244)]).
step(between(0, 999, 244), builtin, [], []).
step(756 is 1000 - 244, builtin, [], []).
step(collatz(756, [756, 378, 189, 568, 284, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 756,
      'J' = [378, 189, 568, 284, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 378],
     [756 > 1,
      0 is 756 mod 2,
      378 is 756 // 2,
      collatz(378, [378, 189, 568, 284, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(756 > 1, builtin, [], []).
step(0 is 756 mod 2, builtin, [], []).
step(378 is 756 // 2, builtin, [], []).
step(collatz(378, [378, 189, 568, 284, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 378,
      'J' = [189, 568, 284, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 189],
     [378 > 1,
      0 is 378 mod 2,
      189 is 378 // 2,
      collatz(189, [189, 568, 284, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(378 > 1, builtin, [], []).
step(0 is 378 mod 2, builtin, [], []).
step(189 is 378 // 2, builtin, [], []).
step(collatz(189, [189, 568, 284, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 189,
      'J' = [568, 284, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 567,
      'N1' = 568],
     [189 > 1,
      1 is 189 mod 2,
      567 is 3 * 189,
      568 is 567 + 1,
      collatz(568, [568, 284, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(189 > 1, builtin, [], []).
step(1 is 189 mod 2, builtin, [], []).
step(567 is 3 * 189, builtin, [], []).
step(568 is 567 + 1, builtin, [], []).
step(collatzTrajectory(755, [755, 2266, 1133, 3400, 1700, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 755,
      'M' = [755, 2266, 1133, 3400, 1700, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 245],
     [repeat(1000, 245),
      755 is 1000 - 245,
      collatz(755, [755, 2266, 1133, 3400, 1700, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 245),
     rule(3),
     ['N' = 1000, 'I' = 245, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 245)]).
step(between(0, 999, 245), builtin, [], []).
step(755 is 1000 - 245, builtin, [], []).
step(collatzTrajectory(754, [754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 754,
      'M' = [754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 246],
     [repeat(1000, 246),
      754 is 1000 - 246,
      collatz(754, [754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 246),
     rule(3),
     ['N' = 1000, 'I' = 246, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 246)]).
step(between(0, 999, 246), builtin, [], []).
step(754 is 1000 - 246, builtin, [], []).
step(collatzTrajectory(753, [753, 2260, 1130, 565, 1696, 848, 424, 212, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 753,
      'M' = [753, 2260, 1130, 565, 1696, 848, 424, 212, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 247],
     [repeat(1000, 247),
      753 is 1000 - 247,
      collatz(753, [753, 2260, 1130, 565, 1696, 848, 424, 212, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 247),
     rule(3),
     ['N' = 1000, 'I' = 247, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 247)]).
step(between(0, 999, 247), builtin, [], []).
step(753 is 1000 - 247, builtin, [], []).
step(collatz(753, [753, 2260, 1130, 565, 1696, 848, 424, 212, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 753,
      'J' = [2260, 1130, 565, 1696, 848, 424, 212, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 2259,
      'N1' = 2260],
     [753 > 1,
      1 is 753 mod 2,
      2259 is 3 * 753,
      2260 is 2259 + 1,
      collatz(2260, [2260, 1130, 565, 1696, 848, 424, 212, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(753 > 1, builtin, [], []).
step(1 is 753 mod 2, builtin, [], []).
step(2259 is 3 * 753, builtin, [], []).
step(2260 is 2259 + 1, builtin, [], []).
step(collatz(2260, [2260, 1130, 565, 1696, 848, 424, 212, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 2260,
      'J' = [1130, 565, 1696, 848, 424, 212, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1130],
     [2260 > 1,
      0 is 2260 mod 2,
      1130 is 2260 // 2,
      collatz(1130, [1130, 565, 1696, 848, 424, 212, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2260 > 1, builtin, [], []).
step(0 is 2260 mod 2, builtin, [], []).
step(1130 is 2260 // 2, builtin, [], []).
step(collatz(1130, [1130, 565, 1696, 848, 424, 212, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1130,
      'J' = [565, 1696, 848, 424, 212, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 565],
     [1130 > 1,
      0 is 1130 mod 2,
      565 is 1130 // 2,
      collatz(565, [565, 1696, 848, 424, 212, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1130 > 1, builtin, [], []).
step(0 is 1130 mod 2, builtin, [], []).
step(565 is 1130 // 2, builtin, [], []).
step(collatz(565, [565, 1696, 848, 424, 212, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 565,
      'J' = [1696, 848, 424, 212, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 1695,
      'N1' = 1696],
     [565 > 1,
      1 is 565 mod 2,
      1695 is 3 * 565,
      1696 is 1695 + 1,
      collatz(1696, [1696, 848, 424, 212, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(565 > 1, builtin, [], []).
step(1 is 565 mod 2, builtin, [], []).
step(1695 is 3 * 565, builtin, [], []).
step(1696 is 1695 + 1, builtin, [], []).
step(collatz(1696, [1696, 848, 424, 212, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1696,
      'J' = [848, 424, 212, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 848],
     [1696 > 1,
      0 is 1696 mod 2,
      848 is 1696 // 2,
      collatz(848, [848, 424, 212, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1696 > 1, builtin, [], []).
step(0 is 1696 mod 2, builtin, [], []).
step(848 is 1696 // 2, builtin, [], []).
step(collatzTrajectory(752, [752, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 752,
      'M' = [752, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 248],
     [repeat(1000, 248),
      752 is 1000 - 248,
      collatz(752, [752, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 248),
     rule(3),
     ['N' = 1000, 'I' = 248, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 248)]).
step(between(0, 999, 248), builtin, [], []).
step(752 is 1000 - 248, builtin, [], []).
step(collatz(752, [752, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 752,
      'J' = [376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 376],
     [752 > 1,
      0 is 752 mod 2,
      376 is 752 // 2,
      collatz(376, [376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(752 > 1, builtin, [], []).
step(0 is 752 mod 2, builtin, [], []).
step(376 is 752 // 2, builtin, [], []).
step(collatzTrajectory(751, [751, 2254, 1127, 3382, 1691, 5074, 2537, 7612, 3806, 1903, 5710, 2855, 8566, 4283, 12850, 6425, 19276, 9638, 4819, 14458, 7229, 21688, 10844, 5422, 2711, 8134, 4067, 12202, 6101, 18304, 9152, 4576, 2288, 1144, 572, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 751,
      'M' = [751, 2254, 1127, 3382, 1691, 5074, 2537, 7612, 3806, 1903, 5710, 2855, 8566, 4283, 12850, 6425, 19276, 9638, 4819, 14458, 7229, 21688, 10844, 5422, 2711, 8134, 4067, 12202, 6101, 18304, 9152, 4576, 2288, 1144, 572, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 249],
     [repeat(1000, 249),
      751 is 1000 - 249,
      collatz(751, [751, 2254, 1127, 3382, 1691, 5074, 2537, 7612, 3806, 1903, 5710, 2855, 8566, 4283, 12850, 6425, 19276, 9638, 4819, 14458, 7229, 21688, 10844, 5422, 2711, 8134, 4067, 12202, 6101, 18304, 9152, 4576, 2288, 1144, 572, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 249),
     rule(3),
     ['N' = 1000, 'I' = 249, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 249)]).
step(between(0, 999, 249), builtin, [], []).
step(751 is 1000 - 249, builtin, [], []).
step(collatzTrajectory(750, [750, 375, 1126, 563, 1690, 845, 2536, 1268, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 750,
      'M' = [750, 375, 1126, 563, 1690, 845, 2536, 1268, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 250],
     [repeat(1000, 250),
      750 is 1000 - 250,
      collatz(750, [750, 375, 1126, 563, 1690, 845, 2536, 1268, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 250),
     rule(3),
     ['N' = 1000, 'I' = 250, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 250)]).
step(between(0, 999, 250), builtin, [], []).
step(750 is 1000 - 250, builtin, [], []).
step(collatz(750, [750, 375, 1126, 563, 1690, 845, 2536, 1268, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 750,
      'J' = [375, 1126, 563, 1690, 845, 2536, 1268, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 375],
     [750 > 1,
      0 is 750 mod 2,
      375 is 750 // 2,
      collatz(375, [375, 1126, 563, 1690, 845, 2536, 1268, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(750 > 1, builtin, [], []).
step(0 is 750 mod 2, builtin, [], []).
step(375 is 750 // 2, builtin, [], []).
step(collatz(375, [375, 1126, 563, 1690, 845, 2536, 1268, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 375,
      'J' = [1126, 563, 1690, 845, 2536, 1268, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 1125,
      'N1' = 1126],
     [375 > 1,
      1 is 375 mod 2,
      1125 is 3 * 375,
      1126 is 1125 + 1,
      collatz(1126, [1126, 563, 1690, 845, 2536, 1268, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(375 > 1, builtin, [], []).
step(1 is 375 mod 2, builtin, [], []).
step(1125 is 3 * 375, builtin, [], []).
step(1126 is 1125 + 1, builtin, [], []).
step(collatz(1126, [1126, 563, 1690, 845, 2536, 1268, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1126,
      'J' = [563, 1690, 845, 2536, 1268, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 563],
     [1126 > 1,
      0 is 1126 mod 2,
      563 is 1126 // 2,
      collatz(563, [563, 1690, 845, 2536, 1268, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1126 > 1, builtin, [], []).
step(0 is 1126 mod 2, builtin, [], []).
step(563 is 1126 // 2, builtin, [], []).
step(collatz(563, [563, 1690, 845, 2536, 1268, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 563,
      'J' = [1690, 845, 2536, 1268, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 1689,
      'N1' = 1690],
     [563 > 1,
      1 is 563 mod 2,
      1689 is 3 * 563,
      1690 is 1689 + 1,
      collatz(1690, [1690, 845, 2536, 1268, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(563 > 1, builtin, [], []).
step(1 is 563 mod 2, builtin, [], []).
step(1689 is 3 * 563, builtin, [], []).
step(1690 is 1689 + 1, builtin, [], []).
step(collatz(1690, [1690, 845, 2536, 1268, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1690,
      'J' = [845, 2536, 1268, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 845],
     [1690 > 1,
      0 is 1690 mod 2,
      845 is 1690 // 2,
      collatz(845, [845, 2536, 1268, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1690 > 1, builtin, [], []).
step(0 is 1690 mod 2, builtin, [], []).
step(845 is 1690 // 2, builtin, [], []).
step(collatzTrajectory(749, [749, 2248, 1124, 562, 281, 844, 422, 211, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 749,
      'M' = [749, 2248, 1124, 562, 281, 844, 422, 211, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 251],
     [repeat(1000, 251),
      749 is 1000 - 251,
      collatz(749, [749, 2248, 1124, 562, 281, 844, 422, 211, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 251),
     rule(3),
     ['N' = 1000, 'I' = 251, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 251)]).
step(between(0, 999, 251), builtin, [], []).
step(749 is 1000 - 251, builtin, [], []).
step(collatzTrajectory(748, [748, 374, 187, 562, 281, 844, 422, 211, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 748,
      'M' = [748, 374, 187, 562, 281, 844, 422, 211, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 252],
     [repeat(1000, 252),
      748 is 1000 - 252,
      collatz(748, [748, 374, 187, 562, 281, 844, 422, 211, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 252),
     rule(3),
     ['N' = 1000, 'I' = 252, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 252)]).
step(between(0, 999, 252), builtin, [], []).
step(748 is 1000 - 252, builtin, [], []).
step(collatzTrajectory(747, [747, 2242, 1121, 3364, 1682, 841, 2524, 1262, 631, 1894, 947, 2842, 1421, 4264, 2132, 1066, 533, 1600, 800, 400, 200, 100, 50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 747,
      'M' = [747, 2242, 1121, 3364, 1682, 841, 2524, 1262, 631, 1894, 947, 2842, 1421, 4264, 2132, 1066, 533, 1600, 800, 400, 200, 100, 50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 253],
     [repeat(1000, 253),
      747 is 1000 - 253,
      collatz(747, [747, 2242, 1121, 3364, 1682, 841, 2524, 1262, 631, 1894, 947, 2842, 1421, 4264, 2132, 1066, 533, 1600, 800, 400, 200, 100, 50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 253),
     rule(3),
     ['N' = 1000, 'I' = 253, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 253)]).
step(between(0, 999, 253), builtin, [], []).
step(747 is 1000 - 253, builtin, [], []).
step(collatz(747, [747, 2242, 1121, 3364, 1682, 841, 2524, 1262, 631, 1894, 947, 2842, 1421, 4264, 2132, 1066, 533, 1600, 800, 400, 200, 100, 50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 747,
      'J' = [2242, 1121, 3364, 1682, 841, 2524, 1262, 631, 1894, 947, 2842, 1421, 4264, 2132, 1066, 533, 1600, 800, 400, 200, 100, 50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 2241,
      'N1' = 2242],
     [747 > 1,
      1 is 747 mod 2,
      2241 is 3 * 747,
      2242 is 2241 + 1,
      collatz(2242, [2242, 1121, 3364, 1682, 841, 2524, 1262, 631, 1894, 947, 2842, 1421, 4264, 2132, 1066, 533, 1600, 800, 400, 200, 100, 50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(747 > 1, builtin, [], []).
step(1 is 747 mod 2, builtin, [], []).
step(2241 is 3 * 747, builtin, [], []).
step(2242 is 2241 + 1, builtin, [], []).
step(collatz(2242, [2242, 1121, 3364, 1682, 841, 2524, 1262, 631, 1894, 947, 2842, 1421, 4264, 2132, 1066, 533, 1600, 800, 400, 200, 100, 50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 2242,
      'J' = [1121, 3364, 1682, 841, 2524, 1262, 631, 1894, 947, 2842, 1421, 4264, 2132, 1066, 533, 1600, 800, 400, 200, 100, 50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1121],
     [2242 > 1,
      0 is 2242 mod 2,
      1121 is 2242 // 2,
      collatz(1121, [1121, 3364, 1682, 841, 2524, 1262, 631, 1894, 947, 2842, 1421, 4264, 2132, 1066, 533, 1600, 800, 400, 200, 100, 50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2242 > 1, builtin, [], []).
step(0 is 2242 mod 2, builtin, [], []).
step(1121 is 2242 // 2, builtin, [], []).
step(collatz(1121, [1121, 3364, 1682, 841, 2524, 1262, 631, 1894, 947, 2842, 1421, 4264, 2132, 1066, 533, 1600, 800, 400, 200, 100, 50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 1121,
      'J' = [3364, 1682, 841, 2524, 1262, 631, 1894, 947, 2842, 1421, 4264, 2132, 1066, 533, 1600, 800, 400, 200, 100, 50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 3363,
      'N1' = 3364],
     [1121 > 1,
      1 is 1121 mod 2,
      3363 is 3 * 1121,
      3364 is 3363 + 1,
      collatz(3364, [3364, 1682, 841, 2524, 1262, 631, 1894, 947, 2842, 1421, 4264, 2132, 1066, 533, 1600, 800, 400, 200, 100, 50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1121 > 1, builtin, [], []).
step(1 is 1121 mod 2, builtin, [], []).
step(3363 is 3 * 1121, builtin, [], []).
step(3364 is 3363 + 1, builtin, [], []).
step(collatz(3364, [3364, 1682, 841, 2524, 1262, 631, 1894, 947, 2842, 1421, 4264, 2132, 1066, 533, 1600, 800, 400, 200, 100, 50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 3364,
      'J' = [1682, 841, 2524, 1262, 631, 1894, 947, 2842, 1421, 4264, 2132, 1066, 533, 1600, 800, 400, 200, 100, 50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1682],
     [3364 > 1,
      0 is 3364 mod 2,
      1682 is 3364 // 2,
      collatz(1682, [1682, 841, 2524, 1262, 631, 1894, 947, 2842, 1421, 4264, 2132, 1066, 533, 1600, 800, 400, 200, 100, 50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(3364 > 1, builtin, [], []).
step(0 is 3364 mod 2, builtin, [], []).
step(1682 is 3364 // 2, builtin, [], []).
step(collatz(1682, [1682, 841, 2524, 1262, 631, 1894, 947, 2842, 1421, 4264, 2132, 1066, 533, 1600, 800, 400, 200, 100, 50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1682,
      'J' = [841, 2524, 1262, 631, 1894, 947, 2842, 1421, 4264, 2132, 1066, 533, 1600, 800, 400, 200, 100, 50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 841],
     [1682 > 1,
      0 is 1682 mod 2,
      841 is 1682 // 2,
      collatz(841, [841, 2524, 1262, 631, 1894, 947, 2842, 1421, 4264, 2132, 1066, 533, 1600, 800, 400, 200, 100, 50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1682 > 1, builtin, [], []).
step(0 is 1682 mod 2, builtin, [], []).
step(841 is 1682 // 2, builtin, [], []).
step(collatzTrajectory(746, [746, 373, 1120, 560, 280, 140, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 746,
      'M' = [746, 373, 1120, 560, 280, 140, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 254],
     [repeat(1000, 254),
      746 is 1000 - 254,
      collatz(746, [746, 373, 1120, 560, 280, 140, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 254),
     rule(3),
     ['N' = 1000, 'I' = 254, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 254)]).
step(between(0, 999, 254), builtin, [], []).
step(746 is 1000 - 254, builtin, [], []).
step(collatzTrajectory(745, [745, 2236, 1118, 559, 1678, 839, 2518, 1259, 3778, 1889, 5668, 2834, 1417, 4252, 2126, 1063, 3190, 1595, 4786, 2393, 7180, 3590, 1795, 5386, 2693, 8080, 4040, 2020, 1010, 505, 1516, 758, 379, 1138, 569, 1708, 854, 427, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 745,
      'M' = [745, 2236, 1118, 559, 1678, 839, 2518, 1259, 3778, 1889, 5668, 2834, 1417, 4252, 2126, 1063, 3190, 1595, 4786, 2393, 7180, 3590, 1795, 5386, 2693, 8080, 4040, 2020, 1010, 505, 1516, 758, 379, 1138, 569, 1708, 854, 427, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 255],
     [repeat(1000, 255),
      745 is 1000 - 255,
      collatz(745, [745, 2236, 1118, 559, 1678, 839, 2518, 1259, 3778, 1889, 5668, 2834, 1417, 4252, 2126, 1063, 3190, 1595, 4786, 2393, 7180, 3590, 1795, 5386, 2693, 8080, 4040, 2020, 1010, 505, 1516, 758, 379, 1138, 569, 1708, 854, 427, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 255),
     rule(3),
     ['N' = 1000, 'I' = 255, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 255)]).
step(between(0, 999, 255), builtin, [], []).
step(745 is 1000 - 255, builtin, [], []).
step(collatzTrajectory(744, [744, 372, 186, 93, 280, 140, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 744,
      'M' = [744, 372, 186, 93, 280, 140, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 256],
     [repeat(1000, 256),
      744 is 1000 - 256,
      collatz(744, [744, 372, 186, 93, 280, 140, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 256),
     rule(3),
     ['N' = 1000, 'I' = 256, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 256)]).
step(between(0, 999, 256), builtin, [], []).
step(744 is 1000 - 256, builtin, [], []).
step(collatz(744, [744, 372, 186, 93, 280, 140, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 744,
      'J' = [372, 186, 93, 280, 140, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 372],
     [744 > 1,
      0 is 744 mod 2,
      372 is 744 // 2,
      collatz(372, [372, 186, 93, 280, 140, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(744 > 1, builtin, [], []).
step(0 is 744 mod 2, builtin, [], []).
step(372 is 744 // 2, builtin, [], []).
step(collatz(372, [372, 186, 93, 280, 140, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 372,
      'J' = [186, 93, 280, 140, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 186],
     [372 > 1,
      0 is 372 mod 2,
      186 is 372 // 2,
      collatz(186, [186, 93, 280, 140, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(372 > 1, builtin, [], []).
step(0 is 372 mod 2, builtin, [], []).
step(186 is 372 // 2, builtin, [], []).
step(collatz(186, [186, 93, 280, 140, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 186,
      'J' = [93, 280, 140, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 93],
     [186 > 1,
      0 is 186 mod 2,
      93 is 186 // 2,
      collatz(93, [93, 280, 140, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(186 > 1, builtin, [], []).
step(0 is 186 mod 2, builtin, [], []).
step(93 is 186 // 2, builtin, [], []).
step(collatz(93, [93, 280, 140, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 93,
      'J' = [280, 140, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 279,
      'N1' = 280],
     [93 > 1,
      1 is 93 mod 2,
      279 is 3 * 93,
      280 is 279 + 1,
      collatz(280, [280, 140, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(93 > 1, builtin, [], []).
step(1 is 93 mod 2, builtin, [], []).
step(279 is 3 * 93, builtin, [], []).
step(280 is 279 + 1, builtin, [], []).
step(collatzTrajectory(743, [743, 2230, 1115, 3346, 1673, 5020, 2510, 1255, 3766, 1883, 5650, 2825, 8476, 4238, 2119, 6358, 3179, 9538, 4769, 14308, 7154, 3577, 10732, 5366, 2683, 8050, 4025, 12076, 6038, 3019, 9058, 4529, 13588, 6794, 3397, 10192, 5096, 2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 743,
      'M' = [743, 2230, 1115, 3346, 1673, 5020, 2510, 1255, 3766, 1883, 5650, 2825, 8476, 4238, 2119, 6358, 3179, 9538, 4769, 14308, 7154, 3577, 10732, 5366, 2683, 8050, 4025, 12076, 6038, 3019, 9058, 4529, 13588, 6794, 3397, 10192, 5096, 2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 257],
     [repeat(1000, 257),
      743 is 1000 - 257,
      collatz(743, [743, 2230, 1115, 3346, 1673, 5020, 2510, 1255, 3766, 1883, 5650, 2825, 8476, 4238, 2119, 6358, 3179, 9538, 4769, 14308, 7154, 3577, 10732, 5366, 2683, 8050, 4025, 12076, 6038, 3019, 9058, 4529, 13588, 6794, 3397, 10192, 5096, 2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 257),
     rule(3),
     ['N' = 1000, 'I' = 257, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 257)]).
step(between(0, 999, 257), builtin, [], []).
step(743 is 1000 - 257, builtin, [], []).
step(collatzTrajectory(742, [742, 371, 1114, 557, 1672, 836, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 742,
      'M' = [742, 371, 1114, 557, 1672, 836, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 258],
     [repeat(1000, 258),
      742 is 1000 - 258,
      collatz(742, [742, 371, 1114, 557, 1672, 836, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 258),
     rule(3),
     ['N' = 1000, 'I' = 258, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 258)]).
step(between(0, 999, 258), builtin, [], []).
step(742 is 1000 - 258, builtin, [], []).
step(collatzTrajectory(741, [741, 2224, 1112, 556, 278, 139, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 741,
      'M' = [741, 2224, 1112, 556, 278, 139, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 259],
     [repeat(1000, 259),
      741 is 1000 - 259,
      collatz(741, [741, 2224, 1112, 556, 278, 139, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 259),
     rule(3),
     ['N' = 1000, 'I' = 259, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 259)]).
step(between(0, 999, 259), builtin, [], []).
step(741 is 1000 - 259, builtin, [], []).
step(collatz(741, [741, 2224, 1112, 556, 278, 139, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 741,
      'J' = [2224, 1112, 556, 278, 139, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 2223,
      'N1' = 2224],
     [741 > 1,
      1 is 741 mod 2,
      2223 is 3 * 741,
      2224 is 2223 + 1,
      collatz(2224, [2224, 1112, 556, 278, 139, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(741 > 1, builtin, [], []).
step(1 is 741 mod 2, builtin, [], []).
step(2223 is 3 * 741, builtin, [], []).
step(2224 is 2223 + 1, builtin, [], []).
step(collatz(2224, [2224, 1112, 556, 278, 139, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 2224,
      'J' = [1112, 556, 278, 139, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1112],
     [2224 > 1,
      0 is 2224 mod 2,
      1112 is 2224 // 2,
      collatz(1112, [1112, 556, 278, 139, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2224 > 1, builtin, [], []).
step(0 is 2224 mod 2, builtin, [], []).
step(1112 is 2224 // 2, builtin, [], []).
step(collatz(1112, [1112, 556, 278, 139, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1112,
      'J' = [556, 278, 139, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 556],
     [1112 > 1,
      0 is 1112 mod 2,
      556 is 1112 // 2,
      collatz(556, [556, 278, 139, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1112 > 1, builtin, [], []).
step(0 is 1112 mod 2, builtin, [], []).
step(556 is 1112 // 2, builtin, [], []).
step(collatzTrajectory(740, [740, 370, 185, 556, 278, 139, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 740,
      'M' = [740, 370, 185, 556, 278, 139, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 260],
     [repeat(1000, 260),
      740 is 1000 - 260,
      collatz(740, [740, 370, 185, 556, 278, 139, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 260),
     rule(3),
     ['N' = 1000, 'I' = 260, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 260)]).
step(between(0, 999, 260), builtin, [], []).
step(740 is 1000 - 260, builtin, [], []).
step(collatzTrajectory(739, [739, 2218, 1109, 3328, 1664, 832, 416, 208, 104, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 739,
      'M' = [739, 2218, 1109, 3328, 1664, 832, 416, 208, 104, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 261],
     [repeat(1000, 261),
      739 is 1000 - 261,
      collatz(739, [739, 2218, 1109, 3328, 1664, 832, 416, 208, 104, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 261),
     rule(3),
     ['N' = 1000, 'I' = 261, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 261)]).
step(between(0, 999, 261), builtin, [], []).
step(739 is 1000 - 261, builtin, [], []).
step(collatzTrajectory(738, [738, 369, 1108, 554, 277, 832, 416, 208, 104, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 738,
      'M' = [738, 369, 1108, 554, 277, 832, 416, 208, 104, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 262],
     [repeat(1000, 262),
      738 is 1000 - 262,
      collatz(738, [738, 369, 1108, 554, 277, 832, 416, 208, 104, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 262),
     rule(3),
     ['N' = 1000, 'I' = 262, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 262)]).
step(between(0, 999, 262), builtin, [], []).
step(738 is 1000 - 262, builtin, [], []).
step(collatz(738, [738, 369, 1108, 554, 277, 832, 416, 208, 104, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 738,
      'J' = [369, 1108, 554, 277, 832, 416, 208, 104, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 369],
     [738 > 1,
      0 is 738 mod 2,
      369 is 738 // 2,
      collatz(369, [369, 1108, 554, 277, 832, 416, 208, 104, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(738 > 1, builtin, [], []).
step(0 is 738 mod 2, builtin, [], []).
step(369 is 738 // 2, builtin, [], []).
step(collatz(369, [369, 1108, 554, 277, 832, 416, 208, 104, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 369,
      'J' = [1108, 554, 277, 832, 416, 208, 104, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 1107,
      'N1' = 1108],
     [369 > 1,
      1 is 369 mod 2,
      1107 is 3 * 369,
      1108 is 1107 + 1,
      collatz(1108, [1108, 554, 277, 832, 416, 208, 104, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(369 > 1, builtin, [], []).
step(1 is 369 mod 2, builtin, [], []).
step(1107 is 3 * 369, builtin, [], []).
step(1108 is 1107 + 1, builtin, [], []).
step(collatz(1108, [1108, 554, 277, 832, 416, 208, 104, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1108,
      'J' = [554, 277, 832, 416, 208, 104, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 554],
     [1108 > 1,
      0 is 1108 mod 2,
      554 is 1108 // 2,
      collatz(554, [554, 277, 832, 416, 208, 104, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1108 > 1, builtin, [], []).
step(0 is 1108 mod 2, builtin, [], []).
step(554 is 1108 // 2, builtin, [], []).
step(collatz(554, [554, 277, 832, 416, 208, 104, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 554,
      'J' = [277, 832, 416, 208, 104, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 277],
     [554 > 1,
      0 is 554 mod 2,
      277 is 554 // 2,
      collatz(277, [277, 832, 416, 208, 104, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(554 > 1, builtin, [], []).
step(0 is 554 mod 2, builtin, [], []).
step(277 is 554 // 2, builtin, [], []).
step(collatz(277, [277, 832, 416, 208, 104, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 277,
      'J' = [832, 416, 208, 104, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 831,
      'N1' = 832],
     [277 > 1,
      1 is 277 mod 2,
      831 is 3 * 277,
      832 is 831 + 1,
      collatz(832, [832, 416, 208, 104, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(277 > 1, builtin, [], []).
step(1 is 277 mod 2, builtin, [], []).
step(831 is 3 * 277, builtin, [], []).
step(832 is 831 + 1, builtin, [], []).
step(collatzTrajectory(737, [737, 2212, 1106, 553, 1660, 830, 415, 1246, 623, 1870, 935, 2806, 1403, 4210, 2105, 6316, 3158, 1579, 4738, 2369, 7108, 3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 737,
      'M' = [737, 2212, 1106, 553, 1660, 830, 415, 1246, 623, 1870, 935, 2806, 1403, 4210, 2105, 6316, 3158, 1579, 4738, 2369, 7108, 3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 263],
     [repeat(1000, 263),
      737 is 1000 - 263,
      collatz(737, [737, 2212, 1106, 553, 1660, 830, 415, 1246, 623, 1870, 935, 2806, 1403, 4210, 2105, 6316, 3158, 1579, 4738, 2369, 7108, 3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 263),
     rule(3),
     ['N' = 1000, 'I' = 263, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 263)]).
step(between(0, 999, 263), builtin, [], []).
step(737 is 1000 - 263, builtin, [], []).
step(collatzTrajectory(736, [736, 368, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 736,
      'M' = [736, 368, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 264],
     [repeat(1000, 264),
      736 is 1000 - 264,
      collatz(736, [736, 368, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 264),
     rule(3),
     ['N' = 1000, 'I' = 264, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 264)]).
step(between(0, 999, 264), builtin, [], []).
step(736 is 1000 - 264, builtin, [], []).
step(collatzTrajectory(735, [735, 2206, 1103, 3310, 1655, 4966, 2483, 7450, 3725, 11176, 5588, 2794, 1397, 4192, 2096, 1048, 524, 262, 131, 394, 197, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 735,
      'M' = [735, 2206, 1103, 3310, 1655, 4966, 2483, 7450, 3725, 11176, 5588, 2794, 1397, 4192, 2096, 1048, 524, 262, 131, 394, 197, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 265],
     [repeat(1000, 265),
      735 is 1000 - 265,
      collatz(735, [735, 2206, 1103, 3310, 1655, 4966, 2483, 7450, 3725, 11176, 5588, 2794, 1397, 4192, 2096, 1048, 524, 262, 131, 394, 197, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 265),
     rule(3),
     ['N' = 1000, 'I' = 265, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 265)]).
step(between(0, 999, 265), builtin, [], []).
step(735 is 1000 - 265, builtin, [], []).
step(collatz(735, [735, 2206, 1103, 3310, 1655, 4966, 2483, 7450, 3725, 11176, 5588, 2794, 1397, 4192, 2096, 1048, 524, 262, 131, 394, 197, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 735,
      'J' = [2206, 1103, 3310, 1655, 4966, 2483, 7450, 3725, 11176, 5588, 2794, 1397, 4192, 2096, 1048, 524, 262, 131, 394, 197, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 2205,
      'N1' = 2206],
     [735 > 1,
      1 is 735 mod 2,
      2205 is 3 * 735,
      2206 is 2205 + 1,
      collatz(2206, [2206, 1103, 3310, 1655, 4966, 2483, 7450, 3725, 11176, 5588, 2794, 1397, 4192, 2096, 1048, 524, 262, 131, 394, 197, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(735 > 1, builtin, [], []).
step(1 is 735 mod 2, builtin, [], []).
step(2205 is 3 * 735, builtin, [], []).
step(2206 is 2205 + 1, builtin, [], []).
step(collatz(2206, [2206, 1103, 3310, 1655, 4966, 2483, 7450, 3725, 11176, 5588, 2794, 1397, 4192, 2096, 1048, 524, 262, 131, 394, 197, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 2206,
      'J' = [1103, 3310, 1655, 4966, 2483, 7450, 3725, 11176, 5588, 2794, 1397, 4192, 2096, 1048, 524, 262, 131, 394, 197, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1103],
     [2206 > 1,
      0 is 2206 mod 2,
      1103 is 2206 // 2,
      collatz(1103, [1103, 3310, 1655, 4966, 2483, 7450, 3725, 11176, 5588, 2794, 1397, 4192, 2096, 1048, 524, 262, 131, 394, 197, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2206 > 1, builtin, [], []).
step(0 is 2206 mod 2, builtin, [], []).
step(1103 is 2206 // 2, builtin, [], []).
step(collatz(1103, [1103, 3310, 1655, 4966, 2483, 7450, 3725, 11176, 5588, 2794, 1397, 4192, 2096, 1048, 524, 262, 131, 394, 197, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 1103,
      'J' = [3310, 1655, 4966, 2483, 7450, 3725, 11176, 5588, 2794, 1397, 4192, 2096, 1048, 524, 262, 131, 394, 197, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 3309,
      'N1' = 3310],
     [1103 > 1,
      1 is 1103 mod 2,
      3309 is 3 * 1103,
      3310 is 3309 + 1,
      collatz(3310, [3310, 1655, 4966, 2483, 7450, 3725, 11176, 5588, 2794, 1397, 4192, 2096, 1048, 524, 262, 131, 394, 197, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1103 > 1, builtin, [], []).
step(1 is 1103 mod 2, builtin, [], []).
step(3309 is 3 * 1103, builtin, [], []).
step(3310 is 3309 + 1, builtin, [], []).
step(collatz(3310, [3310, 1655, 4966, 2483, 7450, 3725, 11176, 5588, 2794, 1397, 4192, 2096, 1048, 524, 262, 131, 394, 197, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 3310,
      'J' = [1655, 4966, 2483, 7450, 3725, 11176, 5588, 2794, 1397, 4192, 2096, 1048, 524, 262, 131, 394, 197, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1655],
     [3310 > 1,
      0 is 3310 mod 2,
      1655 is 3310 // 2,
      collatz(1655, [1655, 4966, 2483, 7450, 3725, 11176, 5588, 2794, 1397, 4192, 2096, 1048, 524, 262, 131, 394, 197, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(3310 > 1, builtin, [], []).
step(0 is 3310 mod 2, builtin, [], []).
step(1655 is 3310 // 2, builtin, [], []).
step(collatz(1655, [1655, 4966, 2483, 7450, 3725, 11176, 5588, 2794, 1397, 4192, 2096, 1048, 524, 262, 131, 394, 197, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 1655,
      'J' = [4966, 2483, 7450, 3725, 11176, 5588, 2794, 1397, 4192, 2096, 1048, 524, 262, 131, 394, 197, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 4965,
      'N1' = 4966],
     [1655 > 1,
      1 is 1655 mod 2,
      4965 is 3 * 1655,
      4966 is 4965 + 1,
      collatz(4966, [4966, 2483, 7450, 3725, 11176, 5588, 2794, 1397, 4192, 2096, 1048, 524, 262, 131, 394, 197, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1655 > 1, builtin, [], []).
step(1 is 1655 mod 2, builtin, [], []).
step(4965 is 3 * 1655, builtin, [], []).
step(4966 is 4965 + 1, builtin, [], []).
step(collatz(4966, [4966, 2483, 7450, 3725, 11176, 5588, 2794, 1397, 4192, 2096, 1048, 524, 262, 131, 394, 197, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 4966,
      'J' = [2483, 7450, 3725, 11176, 5588, 2794, 1397, 4192, 2096, 1048, 524, 262, 131, 394, 197, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 2483],
     [4966 > 1,
      0 is 4966 mod 2,
      2483 is 4966 // 2,
      collatz(2483, [2483, 7450, 3725, 11176, 5588, 2794, 1397, 4192, 2096, 1048, 524, 262, 131, 394, 197, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(4966 > 1, builtin, [], []).
step(0 is 4966 mod 2, builtin, [], []).
step(2483 is 4966 // 2, builtin, [], []).
step(collatz(2483, [2483, 7450, 3725, 11176, 5588, 2794, 1397, 4192, 2096, 1048, 524, 262, 131, 394, 197, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 2483,
      'J' = [7450, 3725, 11176, 5588, 2794, 1397, 4192, 2096, 1048, 524, 262, 131, 394, 197, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 7449,
      'N1' = 7450],
     [2483 > 1,
      1 is 2483 mod 2,
      7449 is 3 * 2483,
      7450 is 7449 + 1,
      collatz(7450, [7450, 3725, 11176, 5588, 2794, 1397, 4192, 2096, 1048, 524, 262, 131, 394, 197, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2483 > 1, builtin, [], []).
step(1 is 2483 mod 2, builtin, [], []).
step(7449 is 3 * 2483, builtin, [], []).
step(7450 is 7449 + 1, builtin, [], []).
step(collatz(7450, [7450, 3725, 11176, 5588, 2794, 1397, 4192, 2096, 1048, 524, 262, 131, 394, 197, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 7450,
      'J' = [3725, 11176, 5588, 2794, 1397, 4192, 2096, 1048, 524, 262, 131, 394, 197, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 3725],
     [7450 > 1,
      0 is 7450 mod 2,
      3725 is 7450 // 2,
      collatz(3725, [3725, 11176, 5588, 2794, 1397, 4192, 2096, 1048, 524, 262, 131, 394, 197, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(7450 > 1, builtin, [], []).
step(0 is 7450 mod 2, builtin, [], []).
step(3725 is 7450 // 2, builtin, [], []).
step(collatz(3725, [3725, 11176, 5588, 2794, 1397, 4192, 2096, 1048, 524, 262, 131, 394, 197, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 3725,
      'J' = [11176, 5588, 2794, 1397, 4192, 2096, 1048, 524, 262, 131, 394, 197, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 11175,
      'N1' = 11176],
     [3725 > 1,
      1 is 3725 mod 2,
      11175 is 3 * 3725,
      11176 is 11175 + 1,
      collatz(11176, [11176, 5588, 2794, 1397, 4192, 2096, 1048, 524, 262, 131, 394, 197, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(3725 > 1, builtin, [], []).
step(1 is 3725 mod 2, builtin, [], []).
step(11175 is 3 * 3725, builtin, [], []).
step(11176 is 11175 + 1, builtin, [], []).
step(collatz(11176, [11176, 5588, 2794, 1397, 4192, 2096, 1048, 524, 262, 131, 394, 197, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 11176,
      'J' = [5588, 2794, 1397, 4192, 2096, 1048, 524, 262, 131, 394, 197, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 5588],
     [11176 > 1,
      0 is 11176 mod 2,
      5588 is 11176 // 2,
      collatz(5588, [5588, 2794, 1397, 4192, 2096, 1048, 524, 262, 131, 394, 197, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(11176 > 1, builtin, [], []).
step(0 is 11176 mod 2, builtin, [], []).
step(5588 is 11176 // 2, builtin, [], []).
step(collatz(5588, [5588, 2794, 1397, 4192, 2096, 1048, 524, 262, 131, 394, 197, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 5588,
      'J' = [2794, 1397, 4192, 2096, 1048, 524, 262, 131, 394, 197, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 2794],
     [5588 > 1,
      0 is 5588 mod 2,
      2794 is 5588 // 2,
      collatz(2794, [2794, 1397, 4192, 2096, 1048, 524, 262, 131, 394, 197, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(5588 > 1, builtin, [], []).
step(0 is 5588 mod 2, builtin, [], []).
step(2794 is 5588 // 2, builtin, [], []).
step(collatzTrajectory(734, [734, 367, 1102, 551, 1654, 827, 2482, 1241, 3724, 1862, 931, 2794, 1397, 4192, 2096, 1048, 524, 262, 131, 394, 197, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 734,
      'M' = [734, 367, 1102, 551, 1654, 827, 2482, 1241, 3724, 1862, 931, 2794, 1397, 4192, 2096, 1048, 524, 262, 131, 394, 197, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 266],
     [repeat(1000, 266),
      734 is 1000 - 266,
      collatz(734, [734, 367, 1102, 551, 1654, 827, 2482, 1241, 3724, 1862, 931, 2794, 1397, 4192, 2096, 1048, 524, 262, 131, 394, 197, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 266),
     rule(3),
     ['N' = 1000, 'I' = 266, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 266)]).
step(between(0, 999, 266), builtin, [], []).
step(734 is 1000 - 266, builtin, [], []).
step(collatzTrajectory(733, [733, 2200, 1100, 550, 275, 826, 413, 1240, 620, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 733,
      'M' = [733, 2200, 1100, 550, 275, 826, 413, 1240, 620, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 267],
     [repeat(1000, 267),
      733 is 1000 - 267,
      collatz(733, [733, 2200, 1100, 550, 275, 826, 413, 1240, 620, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 267),
     rule(3),
     ['N' = 1000, 'I' = 267, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 267)]).
step(between(0, 999, 267), builtin, [], []).
step(733 is 1000 - 267, builtin, [], []).
step(collatzTrajectory(732, [732, 366, 183, 550, 275, 826, 413, 1240, 620, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 732,
      'M' = [732, 366, 183, 550, 275, 826, 413, 1240, 620, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 268],
     [repeat(1000, 268),
      732 is 1000 - 268,
      collatz(732, [732, 366, 183, 550, 275, 826, 413, 1240, 620, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 268),
     rule(3),
     ['N' = 1000, 'I' = 268, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 268)]).
step(between(0, 999, 268), builtin, [], []).
step(732 is 1000 - 268, builtin, [], []).
step(collatz(732, [732, 366, 183, 550, 275, 826, 413, 1240, 620, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 732,
      'J' = [366, 183, 550, 275, 826, 413, 1240, 620, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 366],
     [732 > 1,
      0 is 732 mod 2,
      366 is 732 // 2,
      collatz(366, [366, 183, 550, 275, 826, 413, 1240, 620, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(732 > 1, builtin, [], []).
step(0 is 732 mod 2, builtin, [], []).
step(366 is 732 // 2, builtin, [], []).
step(collatz(366, [366, 183, 550, 275, 826, 413, 1240, 620, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 366,
      'J' = [183, 550, 275, 826, 413, 1240, 620, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 183],
     [366 > 1,
      0 is 366 mod 2,
      183 is 366 // 2,
      collatz(183, [183, 550, 275, 826, 413, 1240, 620, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(366 > 1, builtin, [], []).
step(0 is 366 mod 2, builtin, [], []).
step(183 is 366 // 2, builtin, [], []).
step(collatz(183, [183, 550, 275, 826, 413, 1240, 620, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 183,
      'J' = [550, 275, 826, 413, 1240, 620, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 549,
      'N1' = 550],
     [183 > 1,
      1 is 183 mod 2,
      549 is 3 * 183,
      550 is 549 + 1,
      collatz(550, [550, 275, 826, 413, 1240, 620, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(183 > 1, builtin, [], []).
step(1 is 183 mod 2, builtin, [], []).
step(549 is 3 * 183, builtin, [], []).
step(550 is 549 + 1, builtin, [], []).
step(collatzTrajectory(731, [731, 2194, 1097, 3292, 1646, 823, 2470, 1235, 3706, 1853, 5560, 2780, 1390, 695, 2086, 1043, 3130, 1565, 4696, 2348, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 731,
      'M' = [731, 2194, 1097, 3292, 1646, 823, 2470, 1235, 3706, 1853, 5560, 2780, 1390, 695, 2086, 1043, 3130, 1565, 4696, 2348, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 269],
     [repeat(1000, 269),
      731 is 1000 - 269,
      collatz(731, [731, 2194, 1097, 3292, 1646, 823, 2470, 1235, 3706, 1853, 5560, 2780, 1390, 695, 2086, 1043, 3130, 1565, 4696, 2348, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 269),
     rule(3),
     ['N' = 1000, 'I' = 269, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 269)]).
step(between(0, 999, 269), builtin, [], []).
step(731 is 1000 - 269, builtin, [], []).
step(collatzTrajectory(730, [730, 365, 1096, 548, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 730,
      'M' = [730, 365, 1096, 548, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 270],
     [repeat(1000, 270),
      730 is 1000 - 270,
      collatz(730, [730, 365, 1096, 548, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 270),
     rule(3),
     ['N' = 1000, 'I' = 270, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 270)]).
step(between(0, 999, 270), builtin, [], []).
step(730 is 1000 - 270, builtin, [], []).
step(collatzTrajectory(729, [729, 2188, 1094, 547, 1642, 821, 2464, 1232, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 729,
      'M' = [729, 2188, 1094, 547, 1642, 821, 2464, 1232, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 271],
     [repeat(1000, 271),
      729 is 1000 - 271,
      collatz(729, [729, 2188, 1094, 547, 1642, 821, 2464, 1232, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 271),
     rule(3),
     ['N' = 1000, 'I' = 271, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 271)]).
step(between(0, 999, 271), builtin, [], []).
step(729 is 1000 - 271, builtin, [], []).
step(collatz(729, [729, 2188, 1094, 547, 1642, 821, 2464, 1232, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 729,
      'J' = [2188, 1094, 547, 1642, 821, 2464, 1232, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 2187,
      'N1' = 2188],
     [729 > 1,
      1 is 729 mod 2,
      2187 is 3 * 729,
      2188 is 2187 + 1,
      collatz(2188, [2188, 1094, 547, 1642, 821, 2464, 1232, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(729 > 1, builtin, [], []).
step(1 is 729 mod 2, builtin, [], []).
step(2187 is 3 * 729, builtin, [], []).
step(2188 is 2187 + 1, builtin, [], []).
step(collatz(2188, [2188, 1094, 547, 1642, 821, 2464, 1232, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 2188,
      'J' = [1094, 547, 1642, 821, 2464, 1232, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1094],
     [2188 > 1,
      0 is 2188 mod 2,
      1094 is 2188 // 2,
      collatz(1094, [1094, 547, 1642, 821, 2464, 1232, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2188 > 1, builtin, [], []).
step(0 is 2188 mod 2, builtin, [], []).
step(1094 is 2188 // 2, builtin, [], []).
step(collatz(1094, [1094, 547, 1642, 821, 2464, 1232, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1094,
      'J' = [547, 1642, 821, 2464, 1232, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 547],
     [1094 > 1,
      0 is 1094 mod 2,
      547 is 1094 // 2,
      collatz(547, [547, 1642, 821, 2464, 1232, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1094 > 1, builtin, [], []).
step(0 is 1094 mod 2, builtin, [], []).
step(547 is 1094 // 2, builtin, [], []).
step(collatz(547, [547, 1642, 821, 2464, 1232, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 547,
      'J' = [1642, 821, 2464, 1232, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 1641,
      'N1' = 1642],
     [547 > 1,
      1 is 547 mod 2,
      1641 is 3 * 547,
      1642 is 1641 + 1,
      collatz(1642, [1642, 821, 2464, 1232, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(547 > 1, builtin, [], []).
step(1 is 547 mod 2, builtin, [], []).
step(1641 is 3 * 547, builtin, [], []).
step(1642 is 1641 + 1, builtin, [], []).
step(collatz(1642, [1642, 821, 2464, 1232, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1642,
      'J' = [821, 2464, 1232, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 821],
     [1642 > 1,
      0 is 1642 mod 2,
      821 is 1642 // 2,
      collatz(821, [821, 2464, 1232, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1642 > 1, builtin, [], []).
step(0 is 1642 mod 2, builtin, [], []).
step(821 is 1642 // 2, builtin, [], []).
step(collatzTrajectory(728, [728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 728,
      'M' = [728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 272],
     [repeat(1000, 272),
      728 is 1000 - 272,
      collatz(728, [728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 272),
     rule(3),
     ['N' = 1000, 'I' = 272, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 272)]).
step(between(0, 999, 272), builtin, [], []).
step(728 is 1000 - 272, builtin, [], []).
step(collatzTrajectory(727, [727, 2182, 1091, 3274, 1637, 4912, 2456, 1228, 614, 307, 922, 461, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 727,
      'M' = [727, 2182, 1091, 3274, 1637, 4912, 2456, 1228, 614, 307, 922, 461, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 273],
     [repeat(1000, 273),
      727 is 1000 - 273,
      collatz(727, [727, 2182, 1091, 3274, 1637, 4912, 2456, 1228, 614, 307, 922, 461, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 273),
     rule(3),
     ['N' = 1000, 'I' = 273, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 273)]).
step(between(0, 999, 273), builtin, [], []).
step(727 is 1000 - 273, builtin, [], []).
step(collatzTrajectory(726, [726, 363, 1090, 545, 1636, 818, 409, 1228, 614, 307, 922, 461, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 726,
      'M' = [726, 363, 1090, 545, 1636, 818, 409, 1228, 614, 307, 922, 461, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 274],
     [repeat(1000, 274),
      726 is 1000 - 274,
      collatz(726, [726, 363, 1090, 545, 1636, 818, 409, 1228, 614, 307, 922, 461, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 274),
     rule(3),
     ['N' = 1000, 'I' = 274, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 274)]).
step(between(0, 999, 274), builtin, [], []).
step(726 is 1000 - 274, builtin, [], []).
step(collatz(726, [726, 363, 1090, 545, 1636, 818, 409, 1228, 614, 307, 922, 461, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 726,
      'J' = [363, 1090, 545, 1636, 818, 409, 1228, 614, 307, 922, 461, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 363],
     [726 > 1,
      0 is 726 mod 2,
      363 is 726 // 2,
      collatz(363, [363, 1090, 545, 1636, 818, 409, 1228, 614, 307, 922, 461, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(726 > 1, builtin, [], []).
step(0 is 726 mod 2, builtin, [], []).
step(363 is 726 // 2, builtin, [], []).
step(collatz(363, [363, 1090, 545, 1636, 818, 409, 1228, 614, 307, 922, 461, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 363,
      'J' = [1090, 545, 1636, 818, 409, 1228, 614, 307, 922, 461, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 1089,
      'N1' = 1090],
     [363 > 1,
      1 is 363 mod 2,
      1089 is 3 * 363,
      1090 is 1089 + 1,
      collatz(1090, [1090, 545, 1636, 818, 409, 1228, 614, 307, 922, 461, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(363 > 1, builtin, [], []).
step(1 is 363 mod 2, builtin, [], []).
step(1089 is 3 * 363, builtin, [], []).
step(1090 is 1089 + 1, builtin, [], []).
step(collatzTrajectory(725, [725, 2176, 1088, 544, 272, 136, 68, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 725,
      'M' = [725, 2176, 1088, 544, 272, 136, 68, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 275],
     [repeat(1000, 275),
      725 is 1000 - 275,
      collatz(725, [725, 2176, 1088, 544, 272, 136, 68, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 275),
     rule(3),
     ['N' = 1000, 'I' = 275, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 275)]).
step(between(0, 999, 275), builtin, [], []).
step(725 is 1000 - 275, builtin, [], []).
step(collatzTrajectory(724, [724, 362, 181, 544, 272, 136, 68, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 724,
      'M' = [724, 362, 181, 544, 272, 136, 68, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 276],
     [repeat(1000, 276),
      724 is 1000 - 276,
      collatz(724, [724, 362, 181, 544, 272, 136, 68, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 276),
     rule(3),
     ['N' = 1000, 'I' = 276, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 276)]).
step(between(0, 999, 276), builtin, [], []).
step(724 is 1000 - 276, builtin, [], []).
step(collatzTrajectory(723, [723, 2170, 1085, 3256, 1628, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 723,
      'M' = [723, 2170, 1085, 3256, 1628, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 277],
     [repeat(1000, 277),
      723 is 1000 - 277,
      collatz(723, [723, 2170, 1085, 3256, 1628, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 277),
     rule(3),
     ['N' = 1000, 'I' = 277, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 277)]).
step(between(0, 999, 277), builtin, [], []).
step(723 is 1000 - 277, builtin, [], []).
step(collatz(723, [723, 2170, 1085, 3256, 1628, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 723,
      'J' = [2170, 1085, 3256, 1628, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 2169,
      'N1' = 2170],
     [723 > 1,
      1 is 723 mod 2,
      2169 is 3 * 723,
      2170 is 2169 + 1,
      collatz(2170, [2170, 1085, 3256, 1628, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(723 > 1, builtin, [], []).
step(1 is 723 mod 2, builtin, [], []).
step(2169 is 3 * 723, builtin, [], []).
step(2170 is 2169 + 1, builtin, [], []).
step(collatz(2170, [2170, 1085, 3256, 1628, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 2170,
      'J' = [1085, 3256, 1628, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1085],
     [2170 > 1,
      0 is 2170 mod 2,
      1085 is 2170 // 2,
      collatz(1085, [1085, 3256, 1628, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2170 > 1, builtin, [], []).
step(0 is 2170 mod 2, builtin, [], []).
step(1085 is 2170 // 2, builtin, [], []).
step(collatz(1085, [1085, 3256, 1628, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 1085,
      'J' = [3256, 1628, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 3255,
      'N1' = 3256],
     [1085 > 1,
      1 is 1085 mod 2,
      3255 is 3 * 1085,
      3256 is 3255 + 1,
      collatz(3256, [3256, 1628, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1085 > 1, builtin, [], []).
step(1 is 1085 mod 2, builtin, [], []).
step(3255 is 3 * 1085, builtin, [], []).
step(3256 is 3255 + 1, builtin, [], []).
step(collatz(3256, [3256, 1628, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 3256,
      'J' = [1628, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1628],
     [3256 > 1,
      0 is 3256 mod 2,
      1628 is 3256 // 2,
      collatz(1628, [1628, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(3256 > 1, builtin, [], []).
step(0 is 3256 mod 2, builtin, [], []).
step(1628 is 3256 // 2, builtin, [], []).
step(collatz(1628, [1628, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1628,
      'J' = [814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 814],
     [1628 > 1,
      0 is 1628 mod 2,
      814 is 1628 // 2,
      collatz(814, [814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1628 > 1, builtin, [], []).
step(0 is 1628 mod 2, builtin, [], []).
step(814 is 1628 // 2, builtin, [], []).
step(collatzTrajectory(722, [722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 722,
      'M' = [722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 278],
     [repeat(1000, 278),
      722 is 1000 - 278,
      collatz(722, [722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 278),
     rule(3),
     ['N' = 1000, 'I' = 278, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 278)]).
step(between(0, 999, 278), builtin, [], []).
step(722 is 1000 - 278, builtin, [], []).
step(collatzTrajectory(721, [721, 2164, 1082, 541, 1624, 812, 406, 203, 610, 305, 916, 458, 229, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 721,
      'M' = [721, 2164, 1082, 541, 1624, 812, 406, 203, 610, 305, 916, 458, 229, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 279],
     [repeat(1000, 279),
      721 is 1000 - 279,
      collatz(721, [721, 2164, 1082, 541, 1624, 812, 406, 203, 610, 305, 916, 458, 229, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 279),
     rule(3),
     ['N' = 1000, 'I' = 279, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 279)]).
step(between(0, 999, 279), builtin, [], []).
step(721 is 1000 - 279, builtin, [], []).
step(collatzTrajectory(720, [720, 360, 180, 90, 45, 136, 68, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 720,
      'M' = [720, 360, 180, 90, 45, 136, 68, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 280],
     [repeat(1000, 280),
      720 is 1000 - 280,
      collatz(720, [720, 360, 180, 90, 45, 136, 68, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 280),
     rule(3),
     ['N' = 1000, 'I' = 280, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 280)]).
step(between(0, 999, 280), builtin, [], []).
step(720 is 1000 - 280, builtin, [], []).
step(collatz(720, [720, 360, 180, 90, 45, 136, 68, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 720,
      'J' = [360, 180, 90, 45, 136, 68, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 360],
     [720 > 1,
      0 is 720 mod 2,
      360 is 720 // 2,
      collatz(360, [360, 180, 90, 45, 136, 68, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(720 > 1, builtin, [], []).
step(0 is 720 mod 2, builtin, [], []).
step(360 is 720 // 2, builtin, [], []).
step(collatz(360, [360, 180, 90, 45, 136, 68, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 360,
      'J' = [180, 90, 45, 136, 68, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 180],
     [360 > 1,
      0 is 360 mod 2,
      180 is 360 // 2,
      collatz(180, [180, 90, 45, 136, 68, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(360 > 1, builtin, [], []).
step(0 is 360 mod 2, builtin, [], []).
step(180 is 360 // 2, builtin, [], []).
step(collatz(180, [180, 90, 45, 136, 68, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 180,
      'J' = [90, 45, 136, 68, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 90],
     [180 > 1,
      0 is 180 mod 2,
      90 is 180 // 2,
      collatz(90, [90, 45, 136, 68, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(180 > 1, builtin, [], []).
step(0 is 180 mod 2, builtin, [], []).
step(90 is 180 // 2, builtin, [], []).
step(collatz(90, [90, 45, 136, 68, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 90,
      'J' = [45, 136, 68, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 45],
     [90 > 1,
      0 is 90 mod 2,
      45 is 90 // 2,
      collatz(45, [45, 136, 68, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(90 > 1, builtin, [], []).
step(0 is 90 mod 2, builtin, [], []).
step(45 is 90 // 2, builtin, [], []).
step(collatz(45, [45, 136, 68, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 45,
      'J' = [136, 68, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 135,
      'N1' = 136],
     [45 > 1,
      1 is 45 mod 2,
      135 is 3 * 45,
      136 is 135 + 1,
      collatz(136, [136, 68, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(45 > 1, builtin, [], []).
step(1 is 45 mod 2, builtin, [], []).
step(135 is 3 * 45, builtin, [], []).
step(136 is 135 + 1, builtin, [], []).
step(collatzTrajectory(719, [719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 719,
      'M' = [719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 281],
     [repeat(1000, 281),
      719 is 1000 - 281,
      collatz(719, [719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 281),
     rule(3),
     ['N' = 1000, 'I' = 281, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 281)]).
step(between(0, 999, 281), builtin, [], []).
step(719 is 1000 - 281, builtin, [], []).
step(collatzTrajectory(718, [718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 718,
      'M' = [718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 282],
     [repeat(1000, 282),
      718 is 1000 - 282,
      collatz(718, [718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 282),
     rule(3),
     ['N' = 1000, 'I' = 282, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 282)]).
step(between(0, 999, 282), builtin, [], []).
step(718 is 1000 - 282, builtin, [], []).
step(collatzTrajectory(717, [717, 2152, 1076, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 717,
      'M' = [717, 2152, 1076, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 283],
     [repeat(1000, 283),
      717 is 1000 - 283,
      collatz(717, [717, 2152, 1076, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 283),
     rule(3),
     ['N' = 1000, 'I' = 283, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 283)]).
step(between(0, 999, 283), builtin, [], []).
step(717 is 1000 - 283, builtin, [], []).
step(collatz(717, [717, 2152, 1076, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 717,
      'J' = [2152, 1076, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 2151,
      'N1' = 2152],
     [717 > 1,
      1 is 717 mod 2,
      2151 is 3 * 717,
      2152 is 2151 + 1,
      collatz(2152, [2152, 1076, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(717 > 1, builtin, [], []).
step(1 is 717 mod 2, builtin, [], []).
step(2151 is 3 * 717, builtin, [], []).
step(2152 is 2151 + 1, builtin, [], []).
step(collatz(2152, [2152, 1076, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 2152,
      'J' = [1076, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1076],
     [2152 > 1,
      0 is 2152 mod 2,
      1076 is 2152 // 2,
      collatz(1076, [1076, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2152 > 1, builtin, [], []).
step(0 is 2152 mod 2, builtin, [], []).
step(1076 is 2152 // 2, builtin, [], []).
step(collatz(1076, [1076, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1076,
      'J' = [538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 538],
     [1076 > 1,
      0 is 1076 mod 2,
      538 is 1076 // 2,
      collatz(538, [538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1076 > 1, builtin, [], []).
step(0 is 1076 mod 2, builtin, [], []).
step(538 is 1076 // 2, builtin, [], []).
step(collatzTrajectory(716, [716, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 716,
      'M' = [716, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 284],
     [repeat(1000, 284),
      716 is 1000 - 284,
      collatz(716, [716, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 284),
     rule(3),
     ['N' = 1000, 'I' = 284, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 284)]).
step(between(0, 999, 284), builtin, [], []).
step(716 is 1000 - 284, builtin, [], []).
step(collatzTrajectory(715, [715, 2146, 1073, 3220, 1610, 805, 2416, 1208, 604, 302, 151, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 715,
      'M' = [715, 2146, 1073, 3220, 1610, 805, 2416, 1208, 604, 302, 151, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1],
      'N0' = 285],
     [repeat(1000, 285),
      715 is 1000 - 285,
      collatz(715, [715, 2146, 1073, 3220, 1610, 805, 2416, 1208, 604, 302, 151, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1])]).
step(repeat(1000, 285),
     rule(3),
     ['N' = 1000, 'I' = 285, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 285)]).
step(between(0, 999, 285), builtin, [], []).
step(715 is 1000 - 285, builtin, [], []).
step(collatzTrajectory(714, [714, 357, 1072, 536, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 714,
      'M' = [714, 357, 1072, 536, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 286],
     [repeat(1000, 286),
      714 is 1000 - 286,
      collatz(714, [714, 357, 1072, 536, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 286),
     rule(3),
     ['N' = 1000, 'I' = 286, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 286)]).
step(between(0, 999, 286), builtin, [], []).
step(714 is 1000 - 286, builtin, [], []).
step(collatz(714, [714, 357, 1072, 536, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 714,
      'J' = [357, 1072, 536, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 357],
     [714 > 1,
      0 is 714 mod 2,
      357 is 714 // 2,
      collatz(357, [357, 1072, 536, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(714 > 1, builtin, [], []).
step(0 is 714 mod 2, builtin, [], []).
step(357 is 714 // 2, builtin, [], []).
step(collatz(357, [357, 1072, 536, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 357,
      'J' = [1072, 536, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 1071,
      'N1' = 1072],
     [357 > 1,
      1 is 357 mod 2,
      1071 is 3 * 357,
      1072 is 1071 + 1,
      collatz(1072, [1072, 536, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(357 > 1, builtin, [], []).
step(1 is 357 mod 2, builtin, [], []).
step(1071 is 3 * 357, builtin, [], []).
step(1072 is 1071 + 1, builtin, [], []).
step(collatz(1072, [1072, 536, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1072,
      'J' = [536, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 536],
     [1072 > 1,
      0 is 1072 mod 2,
      536 is 1072 // 2,
      collatz(536, [536, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1072 > 1, builtin, [], []).
step(0 is 1072 mod 2, builtin, [], []).
step(536 is 1072 // 2, builtin, [], []).
step(collatz(536, [536, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 536,
      'J' = [268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 268],
     [536 > 1,
      0 is 536 mod 2,
      268 is 536 // 2,
      collatz(268, [268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(536 > 1, builtin, [], []).
step(0 is 536 mod 2, builtin, [], []).
step(268 is 536 // 2, builtin, [], []).
step(collatzTrajectory(713, [713, 2140, 1070, 535, 1606, 803, 2410, 1205, 3616, 1808, 904, 452, 226, 113, 340, 170, 85, 256, 128, 64, 32, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 713,
      'M' = [713, 2140, 1070, 535, 1606, 803, 2410, 1205, 3616, 1808, 904, 452, 226, 113, 340, 170, 85, 256, 128, 64, 32, 16, 8, 4, 2, 1],
      'N0' = 287],
     [repeat(1000, 287),
      713 is 1000 - 287,
      collatz(713, [713, 2140, 1070, 535, 1606, 803, 2410, 1205, 3616, 1808, 904, 452, 226, 113, 340, 170, 85, 256, 128, 64, 32, 16, 8, 4, 2, 1])]).
step(repeat(1000, 287),
     rule(3),
     ['N' = 1000, 'I' = 287, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 287)]).
step(between(0, 999, 287), builtin, [], []).
step(713 is 1000 - 287, builtin, [], []).
step(collatzTrajectory(712, [712, 356, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 712,
      'M' = [712, 356, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 288],
     [repeat(1000, 288),
      712 is 1000 - 288,
      collatz(712, [712, 356, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 288),
     rule(3),
     ['N' = 1000, 'I' = 288, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 288)]).
step(between(0, 999, 288), builtin, [], []).
step(712 is 1000 - 288, builtin, [], []).
step(collatzTrajectory(711, [711, 2134, 1067, 3202, 1601, 4804, 2402, 1201, 3604, 1802, 901, 2704, 1352, 676, 338, 169, 508, 254, 127, 382, 191, 574, 287, 862, 431, 1294, 647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 711,
      'M' = [711, 2134, 1067, 3202, 1601, 4804, 2402, 1201, 3604, 1802, 901, 2704, 1352, 676, 338, 169, 508, 254, 127, 382, 191, 574, 287, 862, 431, 1294, 647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 289],
     [repeat(1000, 289),
      711 is 1000 - 289,
      collatz(711, [711, 2134, 1067, 3202, 1601, 4804, 2402, 1201, 3604, 1802, 901, 2704, 1352, 676, 338, 169, 508, 254, 127, 382, 191, 574, 287, 862, 431, 1294, 647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 289),
     rule(3),
     ['N' = 1000, 'I' = 289, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 289)]).
step(between(0, 999, 289), builtin, [], []).
step(711 is 1000 - 289, builtin, [], []).
step(collatz(711, [711, 2134, 1067, 3202, 1601, 4804, 2402, 1201, 3604, 1802, 901, 2704, 1352, 676, 338, 169, 508, 254, 127, 382, 191, 574, 287, 862, 431, 1294, 647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 711,
      'J' = [2134, 1067, 3202, 1601, 4804, 2402, 1201, 3604, 1802, 901, 2704, 1352, 676, 338, 169, 508, 254, 127, 382, 191, 574, 287, 862, 431, 1294, 647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 2133,
      'N1' = 2134],
     [711 > 1,
      1 is 711 mod 2,
      2133 is 3 * 711,
      2134 is 2133 + 1,
      collatz(2134, [2134, 1067, 3202, 1601, 4804, 2402, 1201, 3604, 1802, 901, 2704, 1352, 676, 338, 169, 508, 254, 127, 382, 191, 574, 287, 862, 431, 1294, 647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(711 > 1, builtin, [], []).
step(1 is 711 mod 2, builtin, [], []).
step(2133 is 3 * 711, builtin, [], []).
step(2134 is 2133 + 1, builtin, [], []).
step(collatz(2134, [2134, 1067, 3202, 1601, 4804, 2402, 1201, 3604, 1802, 901, 2704, 1352, 676, 338, 169, 508, 254, 127, 382, 191, 574, 287, 862, 431, 1294, 647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 2134,
      'J' = [1067, 3202, 1601, 4804, 2402, 1201, 3604, 1802, 901, 2704, 1352, 676, 338, 169, 508, 254, 127, 382, 191, 574, 287, 862, 431, 1294, 647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1067],
     [2134 > 1,
      0 is 2134 mod 2,
      1067 is 2134 // 2,
      collatz(1067, [1067, 3202, 1601, 4804, 2402, 1201, 3604, 1802, 901, 2704, 1352, 676, 338, 169, 508, 254, 127, 382, 191, 574, 287, 862, 431, 1294, 647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2134 > 1, builtin, [], []).
step(0 is 2134 mod 2, builtin, [], []).
step(1067 is 2134 // 2, builtin, [], []).
step(collatz(1067, [1067, 3202, 1601, 4804, 2402, 1201, 3604, 1802, 901, 2704, 1352, 676, 338, 169, 508, 254, 127, 382, 191, 574, 287, 862, 431, 1294, 647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 1067,
      'J' = [3202, 1601, 4804, 2402, 1201, 3604, 1802, 901, 2704, 1352, 676, 338, 169, 508, 254, 127, 382, 191, 574, 287, 862, 431, 1294, 647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 3201,
      'N1' = 3202],
     [1067 > 1,
      1 is 1067 mod 2,
      3201 is 3 * 1067,
      3202 is 3201 + 1,
      collatz(3202, [3202, 1601, 4804, 2402, 1201, 3604, 1802, 901, 2704, 1352, 676, 338, 169, 508, 254, 127, 382, 191, 574, 287, 862, 431, 1294, 647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1067 > 1, builtin, [], []).
step(1 is 1067 mod 2, builtin, [], []).
step(3201 is 3 * 1067, builtin, [], []).
step(3202 is 3201 + 1, builtin, [], []).
step(collatz(3202, [3202, 1601, 4804, 2402, 1201, 3604, 1802, 901, 2704, 1352, 676, 338, 169, 508, 254, 127, 382, 191, 574, 287, 862, 431, 1294, 647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 3202,
      'J' = [1601, 4804, 2402, 1201, 3604, 1802, 901, 2704, 1352, 676, 338, 169, 508, 254, 127, 382, 191, 574, 287, 862, 431, 1294, 647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1601],
     [3202 > 1,
      0 is 3202 mod 2,
      1601 is 3202 // 2,
      collatz(1601, [1601, 4804, 2402, 1201, 3604, 1802, 901, 2704, 1352, 676, 338, 169, 508, 254, 127, 382, 191, 574, 287, 862, 431, 1294, 647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(3202 > 1, builtin, [], []).
step(0 is 3202 mod 2, builtin, [], []).
step(1601 is 3202 // 2, builtin, [], []).
step(collatz(1601, [1601, 4804, 2402, 1201, 3604, 1802, 901, 2704, 1352, 676, 338, 169, 508, 254, 127, 382, 191, 574, 287, 862, 431, 1294, 647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 1601,
      'J' = [4804, 2402, 1201, 3604, 1802, 901, 2704, 1352, 676, 338, 169, 508, 254, 127, 382, 191, 574, 287, 862, 431, 1294, 647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 4803,
      'N1' = 4804],
     [1601 > 1,
      1 is 1601 mod 2,
      4803 is 3 * 1601,
      4804 is 4803 + 1,
      collatz(4804, [4804, 2402, 1201, 3604, 1802, 901, 2704, 1352, 676, 338, 169, 508, 254, 127, 382, 191, 574, 287, 862, 431, 1294, 647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1601 > 1, builtin, [], []).
step(1 is 1601 mod 2, builtin, [], []).
step(4803 is 3 * 1601, builtin, [], []).
step(4804 is 4803 + 1, builtin, [], []).
step(collatz(4804, [4804, 2402, 1201, 3604, 1802, 901, 2704, 1352, 676, 338, 169, 508, 254, 127, 382, 191, 574, 287, 862, 431, 1294, 647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 4804,
      'J' = [2402, 1201, 3604, 1802, 901, 2704, 1352, 676, 338, 169, 508, 254, 127, 382, 191, 574, 287, 862, 431, 1294, 647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 2402],
     [4804 > 1,
      0 is 4804 mod 2,
      2402 is 4804 // 2,
      collatz(2402, [2402, 1201, 3604, 1802, 901, 2704, 1352, 676, 338, 169, 508, 254, 127, 382, 191, 574, 287, 862, 431, 1294, 647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(4804 > 1, builtin, [], []).
step(0 is 4804 mod 2, builtin, [], []).
step(2402 is 4804 // 2, builtin, [], []).
step(collatz(2402, [2402, 1201, 3604, 1802, 901, 2704, 1352, 676, 338, 169, 508, 254, 127, 382, 191, 574, 287, 862, 431, 1294, 647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 2402,
      'J' = [1201, 3604, 1802, 901, 2704, 1352, 676, 338, 169, 508, 254, 127, 382, 191, 574, 287, 862, 431, 1294, 647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1201],
     [2402 > 1,
      0 is 2402 mod 2,
      1201 is 2402 // 2,
      collatz(1201, [1201, 3604, 1802, 901, 2704, 1352, 676, 338, 169, 508, 254, 127, 382, 191, 574, 287, 862, 431, 1294, 647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2402 > 1, builtin, [], []).
step(0 is 2402 mod 2, builtin, [], []).
step(1201 is 2402 // 2, builtin, [], []).
step(collatz(1201, [1201, 3604, 1802, 901, 2704, 1352, 676, 338, 169, 508, 254, 127, 382, 191, 574, 287, 862, 431, 1294, 647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 1201,
      'J' = [3604, 1802, 901, 2704, 1352, 676, 338, 169, 508, 254, 127, 382, 191, 574, 287, 862, 431, 1294, 647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 3603,
      'N1' = 3604],
     [1201 > 1,
      1 is 1201 mod 2,
      3603 is 3 * 1201,
      3604 is 3603 + 1,
      collatz(3604, [3604, 1802, 901, 2704, 1352, 676, 338, 169, 508, 254, 127, 382, 191, 574, 287, 862, 431, 1294, 647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1201 > 1, builtin, [], []).
step(1 is 1201 mod 2, builtin, [], []).
step(3603 is 3 * 1201, builtin, [], []).
step(3604 is 3603 + 1, builtin, [], []).
step(collatz(3604, [3604, 1802, 901, 2704, 1352, 676, 338, 169, 508, 254, 127, 382, 191, 574, 287, 862, 431, 1294, 647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 3604,
      'J' = [1802, 901, 2704, 1352, 676, 338, 169, 508, 254, 127, 382, 191, 574, 287, 862, 431, 1294, 647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1802],
     [3604 > 1,
      0 is 3604 mod 2,
      1802 is 3604 // 2,
      collatz(1802, [1802, 901, 2704, 1352, 676, 338, 169, 508, 254, 127, 382, 191, 574, 287, 862, 431, 1294, 647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(3604 > 1, builtin, [], []).
step(0 is 3604 mod 2, builtin, [], []).
step(1802 is 3604 // 2, builtin, [], []).
step(collatz(1802, [1802, 901, 2704, 1352, 676, 338, 169, 508, 254, 127, 382, 191, 574, 287, 862, 431, 1294, 647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1802,
      'J' = [901, 2704, 1352, 676, 338, 169, 508, 254, 127, 382, 191, 574, 287, 862, 431, 1294, 647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 901],
     [1802 > 1,
      0 is 1802 mod 2,
      901 is 1802 // 2,
      collatz(901, [901, 2704, 1352, 676, 338, 169, 508, 254, 127, 382, 191, 574, 287, 862, 431, 1294, 647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1802 > 1, builtin, [], []).
step(0 is 1802 mod 2, builtin, [], []).
step(901 is 1802 // 2, builtin, [], []).
step(collatzTrajectory(710, [710, 355, 1066, 533, 1600, 800, 400, 200, 100, 50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 710,
      'M' = [710, 355, 1066, 533, 1600, 800, 400, 200, 100, 50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 290],
     [repeat(1000, 290),
      710 is 1000 - 290,
      collatz(710, [710, 355, 1066, 533, 1600, 800, 400, 200, 100, 50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 290),
     rule(3),
     ['N' = 1000, 'I' = 290, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 290)]).
step(between(0, 999, 290), builtin, [], []).
step(710 is 1000 - 290, builtin, [], []).
step(collatzTrajectory(709, [709, 2128, 1064, 532, 266, 133, 400, 200, 100, 50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 709,
      'M' = [709, 2128, 1064, 532, 266, 133, 400, 200, 100, 50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 291],
     [repeat(1000, 291),
      709 is 1000 - 291,
      collatz(709, [709, 2128, 1064, 532, 266, 133, 400, 200, 100, 50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 291),
     rule(3),
     ['N' = 1000, 'I' = 291, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 291)]).
step(between(0, 999, 291), builtin, [], []).
step(709 is 1000 - 291, builtin, [], []).
step(collatzTrajectory(708, [708, 354, 177, 532, 266, 133, 400, 200, 100, 50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 708,
      'M' = [708, 354, 177, 532, 266, 133, 400, 200, 100, 50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 292],
     [repeat(1000, 292),
      708 is 1000 - 292,
      collatz(708, [708, 354, 177, 532, 266, 133, 400, 200, 100, 50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 292),
     rule(3),
     ['N' = 1000, 'I' = 292, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 292)]).
step(between(0, 999, 292), builtin, [], []).
step(708 is 1000 - 292, builtin, [], []).
step(collatz(708, [708, 354, 177, 532, 266, 133, 400, 200, 100, 50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 708,
      'J' = [354, 177, 532, 266, 133, 400, 200, 100, 50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 354],
     [708 > 1,
      0 is 708 mod 2,
      354 is 708 // 2,
      collatz(354, [354, 177, 532, 266, 133, 400, 200, 100, 50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(708 > 1, builtin, [], []).
step(0 is 708 mod 2, builtin, [], []).
step(354 is 708 // 2, builtin, [], []).
step(collatz(354, [354, 177, 532, 266, 133, 400, 200, 100, 50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 354,
      'J' = [177, 532, 266, 133, 400, 200, 100, 50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 177],
     [354 > 1,
      0 is 354 mod 2,
      177 is 354 // 2,
      collatz(177, [177, 532, 266, 133, 400, 200, 100, 50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(354 > 1, builtin, [], []).
step(0 is 354 mod 2, builtin, [], []).
step(177 is 354 // 2, builtin, [], []).
step(collatz(177, [177, 532, 266, 133, 400, 200, 100, 50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 177,
      'J' = [532, 266, 133, 400, 200, 100, 50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 531,
      'N1' = 532],
     [177 > 1,
      1 is 177 mod 2,
      531 is 3 * 177,
      532 is 531 + 1,
      collatz(532, [532, 266, 133, 400, 200, 100, 50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(177 > 1, builtin, [], []).
step(1 is 177 mod 2, builtin, [], []).
step(531 is 3 * 177, builtin, [], []).
step(532 is 531 + 1, builtin, [], []).
step(collatzTrajectory(707, [707, 2122, 1061, 3184, 1592, 796, 398, 199, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 707,
      'M' = [707, 2122, 1061, 3184, 1592, 796, 398, 199, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 293],
     [repeat(1000, 293),
      707 is 1000 - 293,
      collatz(707, [707, 2122, 1061, 3184, 1592, 796, 398, 199, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 293),
     rule(3),
     ['N' = 1000, 'I' = 293, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 293)]).
step(between(0, 999, 293), builtin, [], []).
step(707 is 1000 - 293, builtin, [], []).
step(collatzTrajectory(706, [706, 353, 1060, 530, 265, 796, 398, 199, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 706,
      'M' = [706, 353, 1060, 530, 265, 796, 398, 199, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 294],
     [repeat(1000, 294),
      706 is 1000 - 294,
      collatz(706, [706, 353, 1060, 530, 265, 796, 398, 199, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 294),
     rule(3),
     ['N' = 1000, 'I' = 294, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 294)]).
step(between(0, 999, 294), builtin, [], []).
step(706 is 1000 - 294, builtin, [], []).
step(collatzTrajectory(705, [705, 2116, 1058, 529, 1588, 794, 397, 1192, 596, 298, 149, 448, 224, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 705,
      'M' = [705, 2116, 1058, 529, 1588, 794, 397, 1192, 596, 298, 149, 448, 224, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 295],
     [repeat(1000, 295),
      705 is 1000 - 295,
      collatz(705, [705, 2116, 1058, 529, 1588, 794, 397, 1192, 596, 298, 149, 448, 224, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 295),
     rule(3),
     ['N' = 1000, 'I' = 295, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 295)]).
step(between(0, 999, 295), builtin, [], []).
step(705 is 1000 - 295, builtin, [], []).
step(collatz(705, [705, 2116, 1058, 529, 1588, 794, 397, 1192, 596, 298, 149, 448, 224, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 705,
      'J' = [2116, 1058, 529, 1588, 794, 397, 1192, 596, 298, 149, 448, 224, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 2115,
      'N1' = 2116],
     [705 > 1,
      1 is 705 mod 2,
      2115 is 3 * 705,
      2116 is 2115 + 1,
      collatz(2116, [2116, 1058, 529, 1588, 794, 397, 1192, 596, 298, 149, 448, 224, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(705 > 1, builtin, [], []).
step(1 is 705 mod 2, builtin, [], []).
step(2115 is 3 * 705, builtin, [], []).
step(2116 is 2115 + 1, builtin, [], []).
step(collatz(2116, [2116, 1058, 529, 1588, 794, 397, 1192, 596, 298, 149, 448, 224, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 2116,
      'J' = [1058, 529, 1588, 794, 397, 1192, 596, 298, 149, 448, 224, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1058],
     [2116 > 1,
      0 is 2116 mod 2,
      1058 is 2116 // 2,
      collatz(1058, [1058, 529, 1588, 794, 397, 1192, 596, 298, 149, 448, 224, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2116 > 1, builtin, [], []).
step(0 is 2116 mod 2, builtin, [], []).
step(1058 is 2116 // 2, builtin, [], []).
step(collatz(1058, [1058, 529, 1588, 794, 397, 1192, 596, 298, 149, 448, 224, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1058,
      'J' = [529, 1588, 794, 397, 1192, 596, 298, 149, 448, 224, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 529],
     [1058 > 1,
      0 is 1058 mod 2,
      529 is 1058 // 2,
      collatz(529, [529, 1588, 794, 397, 1192, 596, 298, 149, 448, 224, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1058 > 1, builtin, [], []).
step(0 is 1058 mod 2, builtin, [], []).
step(529 is 1058 // 2, builtin, [], []).
step(collatz(529, [529, 1588, 794, 397, 1192, 596, 298, 149, 448, 224, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 529,
      'J' = [1588, 794, 397, 1192, 596, 298, 149, 448, 224, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 1587,
      'N1' = 1588],
     [529 > 1,
      1 is 529 mod 2,
      1587 is 3 * 529,
      1588 is 1587 + 1,
      collatz(1588, [1588, 794, 397, 1192, 596, 298, 149, 448, 224, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(529 > 1, builtin, [], []).
step(1 is 529 mod 2, builtin, [], []).
step(1587 is 3 * 529, builtin, [], []).
step(1588 is 1587 + 1, builtin, [], []).
step(collatz(1588, [1588, 794, 397, 1192, 596, 298, 149, 448, 224, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1588,
      'J' = [794, 397, 1192, 596, 298, 149, 448, 224, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 794],
     [1588 > 1,
      0 is 1588 mod 2,
      794 is 1588 // 2,
      collatz(794, [794, 397, 1192, 596, 298, 149, 448, 224, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1588 > 1, builtin, [], []).
step(0 is 1588 mod 2, builtin, [], []).
step(794 is 1588 // 2, builtin, [], []).
step(collatzTrajectory(704, [704, 352, 176, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 704,
      'M' = [704, 352, 176, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 296],
     [repeat(1000, 296),
      704 is 1000 - 296,
      collatz(704, [704, 352, 176, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 296),
     rule(3),
     ['N' = 1000, 'I' = 296, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 296)]).
step(between(0, 999, 296), builtin, [], []).
step(704 is 1000 - 296, builtin, [], []).
step(collatzTrajectory(703, [703, 2110, 1055, 3166, 1583, 4750, 2375, 7126, 3563, 10690, 5345, 16036, 8018, 4009, 12028, 6014, 3007, 9022, 4511, 13534, 6767, 20302, 10151, 30454, 15227, 45682, 22841, 68524, 34262, 17131, 51394, 25697, 77092, 38546, 19273, 57820, 28910, 14455, 43366, 21683, 65050, 32525, 97576, 48788, 24394, 12197, 36592, 18296, 9148, 4574, 2287, 6862, 3431, 10294, 5147, 15442, 7721, 23164, 11582, 5791, 17374, 8687, 26062, 13031, 39094, 19547, 58642, 29321, 87964, 43982, 21991, 65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 703,
      'M' = [703, 2110, 1055, 3166, 1583, 4750, 2375, 7126, 3563, 10690, 5345, 16036, 8018, 4009, 12028, 6014, 3007, 9022, 4511, 13534, 6767, 20302, 10151, 30454, 15227, 45682, 22841, 68524, 34262, 17131, 51394, 25697, 77092, 38546, 19273, 57820, 28910, 14455, 43366, 21683, 65050, 32525, 97576, 48788, 24394, 12197, 36592, 18296, 9148, 4574, 2287, 6862, 3431, 10294, 5147, 15442, 7721, 23164, 11582, 5791, 17374, 8687, 26062, 13031, 39094, 19547, 58642, 29321, 87964, 43982, 21991, 65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 297],
     [repeat(1000, 297),
      703 is 1000 - 297,
      collatz(703, [703, 2110, 1055, 3166, 1583, 4750, 2375, 7126, 3563, 10690, 5345, 16036, 8018, 4009, 12028, 6014, 3007, 9022, 4511, 13534, 6767, 20302, 10151, 30454, 15227, 45682, 22841, 68524, 34262, 17131, 51394, 25697, 77092, 38546, 19273, 57820, 28910, 14455, 43366, 21683, 65050, 32525, 97576, 48788, 24394, 12197, 36592, 18296, 9148, 4574, 2287, 6862, 3431, 10294, 5147, 15442, 7721, 23164, 11582, 5791, 17374, 8687, 26062, 13031, 39094, 19547, 58642, 29321, 87964, 43982, 21991, 65974, 32987, 98962, 49481, 148444, 74222, 37111, 111334, 55667, 167002, 83501, 250504, 125252, 62626, 31313, 93940, 46970, 23485, 70456, 35228, 17614, 8807, 26422, 13211, 39634, 19817, 59452, 29726, 14863, 44590, 22295, 66886, 33443, 100330, 50165, 150496, 75248, 37624, 18812, 9406, 4703, 14110, 7055, 21166, 10583, 31750, 15875, 47626, 23813, 71440, 35720, 17860, 8930, 4465, 13396, 6698, 3349, 10048, 5024, 2512, 1256, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 297),
     rule(3),
     ['N' = 1000, 'I' = 297, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 297)]).
step(between(0, 999, 297), builtin, [], []).
step(703 is 1000 - 297, builtin, [], []).
step(collatzTrajectory(702, [702, 351, 1054, 527, 1582, 791, 2374, 1187, 3562, 1781, 5344, 2672, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 702,
      'M' = [702, 351, 1054, 527, 1582, 791, 2374, 1187, 3562, 1781, 5344, 2672, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 298],
     [repeat(1000, 298),
      702 is 1000 - 298,
      collatz(702, [702, 351, 1054, 527, 1582, 791, 2374, 1187, 3562, 1781, 5344, 2672, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 298),
     rule(3),
     ['N' = 1000, 'I' = 298, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 298)]).
step(between(0, 999, 298), builtin, [], []).
step(702 is 1000 - 298, builtin, [], []).
step(collatz(702, [702, 351, 1054, 527, 1582, 791, 2374, 1187, 3562, 1781, 5344, 2672, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 702,
      'J' = [351, 1054, 527, 1582, 791, 2374, 1187, 3562, 1781, 5344, 2672, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 351],
     [702 > 1,
      0 is 702 mod 2,
      351 is 702 // 2,
      collatz(351, [351, 1054, 527, 1582, 791, 2374, 1187, 3562, 1781, 5344, 2672, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(702 > 1, builtin, [], []).
step(0 is 702 mod 2, builtin, [], []).
step(351 is 702 // 2, builtin, [], []).
step(collatz(351, [351, 1054, 527, 1582, 791, 2374, 1187, 3562, 1781, 5344, 2672, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 351,
      'J' = [1054, 527, 1582, 791, 2374, 1187, 3562, 1781, 5344, 2672, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 1053,
      'N1' = 1054],
     [351 > 1,
      1 is 351 mod 2,
      1053 is 3 * 351,
      1054 is 1053 + 1,
      collatz(1054, [1054, 527, 1582, 791, 2374, 1187, 3562, 1781, 5344, 2672, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(351 > 1, builtin, [], []).
step(1 is 351 mod 2, builtin, [], []).
step(1053 is 3 * 351, builtin, [], []).
step(1054 is 1053 + 1, builtin, [], []).
step(collatz(1054, [1054, 527, 1582, 791, 2374, 1187, 3562, 1781, 5344, 2672, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1054,
      'J' = [527, 1582, 791, 2374, 1187, 3562, 1781, 5344, 2672, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 527],
     [1054 > 1,
      0 is 1054 mod 2,
      527 is 1054 // 2,
      collatz(527, [527, 1582, 791, 2374, 1187, 3562, 1781, 5344, 2672, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1054 > 1, builtin, [], []).
step(0 is 1054 mod 2, builtin, [], []).
step(527 is 1054 // 2, builtin, [], []).
step(collatz(527, [527, 1582, 791, 2374, 1187, 3562, 1781, 5344, 2672, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 527,
      'J' = [1582, 791, 2374, 1187, 3562, 1781, 5344, 2672, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 1581,
      'N1' = 1582],
     [527 > 1,
      1 is 527 mod 2,
      1581 is 3 * 527,
      1582 is 1581 + 1,
      collatz(1582, [1582, 791, 2374, 1187, 3562, 1781, 5344, 2672, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(527 > 1, builtin, [], []).
step(1 is 527 mod 2, builtin, [], []).
step(1581 is 3 * 527, builtin, [], []).
step(1582 is 1581 + 1, builtin, [], []).
step(collatz(1582, [1582, 791, 2374, 1187, 3562, 1781, 5344, 2672, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1582,
      'J' = [791, 2374, 1187, 3562, 1781, 5344, 2672, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 791],
     [1582 > 1,
      0 is 1582 mod 2,
      791 is 1582 // 2,
      collatz(791, [791, 2374, 1187, 3562, 1781, 5344, 2672, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1582 > 1, builtin, [], []).
step(0 is 1582 mod 2, builtin, [], []).
step(791 is 1582 // 2, builtin, [], []).
step(collatzTrajectory(701, [701, 2104, 1052, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 701,
      'M' = [701, 2104, 1052, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 299],
     [repeat(1000, 299),
      701 is 1000 - 299,
      collatz(701, [701, 2104, 1052, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 299),
     rule(3),
     ['N' = 1000, 'I' = 299, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 299)]).
step(between(0, 999, 299), builtin, [], []).
step(701 is 1000 - 299, builtin, [], []).
step(collatzTrajectory(700, [700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 700,
      'M' = [700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 300],
     [repeat(1000, 300),
      700 is 1000 - 300,
      collatz(700, [700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 300),
     rule(3),
     ['N' = 1000, 'I' = 300, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 300)]).
step(between(0, 999, 300), builtin, [], []).
step(700 is 1000 - 300, builtin, [], []).
step(collatzTrajectory(699, [699, 2098, 1049, 3148, 1574, 787, 2362, 1181, 3544, 1772, 886, 443, 1330, 665, 1996, 998, 499, 1498, 749, 2248, 1124, 562, 281, 844, 422, 211, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 699,
      'M' = [699, 2098, 1049, 3148, 1574, 787, 2362, 1181, 3544, 1772, 886, 443, 1330, 665, 1996, 998, 499, 1498, 749, 2248, 1124, 562, 281, 844, 422, 211, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 301],
     [repeat(1000, 301),
      699 is 1000 - 301,
      collatz(699, [699, 2098, 1049, 3148, 1574, 787, 2362, 1181, 3544, 1772, 886, 443, 1330, 665, 1996, 998, 499, 1498, 749, 2248, 1124, 562, 281, 844, 422, 211, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 301),
     rule(3),
     ['N' = 1000, 'I' = 301, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 301)]).
step(between(0, 999, 301), builtin, [], []).
step(699 is 1000 - 301, builtin, [], []).
step(collatz(699, [699, 2098, 1049, 3148, 1574, 787, 2362, 1181, 3544, 1772, 886, 443, 1330, 665, 1996, 998, 499, 1498, 749, 2248, 1124, 562, 281, 844, 422, 211, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 699,
      'J' = [2098, 1049, 3148, 1574, 787, 2362, 1181, 3544, 1772, 886, 443, 1330, 665, 1996, 998, 499, 1498, 749, 2248, 1124, 562, 281, 844, 422, 211, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 2097,
      'N1' = 2098],
     [699 > 1,
      1 is 699 mod 2,
      2097 is 3 * 699,
      2098 is 2097 + 1,
      collatz(2098, [2098, 1049, 3148, 1574, 787, 2362, 1181, 3544, 1772, 886, 443, 1330, 665, 1996, 998, 499, 1498, 749, 2248, 1124, 562, 281, 844, 422, 211, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(699 > 1, builtin, [], []).
step(1 is 699 mod 2, builtin, [], []).
step(2097 is 3 * 699, builtin, [], []).
step(2098 is 2097 + 1, builtin, [], []).
step(collatz(2098, [2098, 1049, 3148, 1574, 787, 2362, 1181, 3544, 1772, 886, 443, 1330, 665, 1996, 998, 499, 1498, 749, 2248, 1124, 562, 281, 844, 422, 211, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 2098,
      'J' = [1049, 3148, 1574, 787, 2362, 1181, 3544, 1772, 886, 443, 1330, 665, 1996, 998, 499, 1498, 749, 2248, 1124, 562, 281, 844, 422, 211, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1049],
     [2098 > 1,
      0 is 2098 mod 2,
      1049 is 2098 // 2,
      collatz(1049, [1049, 3148, 1574, 787, 2362, 1181, 3544, 1772, 886, 443, 1330, 665, 1996, 998, 499, 1498, 749, 2248, 1124, 562, 281, 844, 422, 211, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2098 > 1, builtin, [], []).
step(0 is 2098 mod 2, builtin, [], []).
step(1049 is 2098 // 2, builtin, [], []).
step(collatz(1049, [1049, 3148, 1574, 787, 2362, 1181, 3544, 1772, 886, 443, 1330, 665, 1996, 998, 499, 1498, 749, 2248, 1124, 562, 281, 844, 422, 211, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 1049,
      'J' = [3148, 1574, 787, 2362, 1181, 3544, 1772, 886, 443, 1330, 665, 1996, 998, 499, 1498, 749, 2248, 1124, 562, 281, 844, 422, 211, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 3147,
      'N1' = 3148],
     [1049 > 1,
      1 is 1049 mod 2,
      3147 is 3 * 1049,
      3148 is 3147 + 1,
      collatz(3148, [3148, 1574, 787, 2362, 1181, 3544, 1772, 886, 443, 1330, 665, 1996, 998, 499, 1498, 749, 2248, 1124, 562, 281, 844, 422, 211, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1049 > 1, builtin, [], []).
step(1 is 1049 mod 2, builtin, [], []).
step(3147 is 3 * 1049, builtin, [], []).
step(3148 is 3147 + 1, builtin, [], []).
step(collatz(3148, [3148, 1574, 787, 2362, 1181, 3544, 1772, 886, 443, 1330, 665, 1996, 998, 499, 1498, 749, 2248, 1124, 562, 281, 844, 422, 211, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 3148,
      'J' = [1574, 787, 2362, 1181, 3544, 1772, 886, 443, 1330, 665, 1996, 998, 499, 1498, 749, 2248, 1124, 562, 281, 844, 422, 211, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1574],
     [3148 > 1,
      0 is 3148 mod 2,
      1574 is 3148 // 2,
      collatz(1574, [1574, 787, 2362, 1181, 3544, 1772, 886, 443, 1330, 665, 1996, 998, 499, 1498, 749, 2248, 1124, 562, 281, 844, 422, 211, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(3148 > 1, builtin, [], []).
step(0 is 3148 mod 2, builtin, [], []).
step(1574 is 3148 // 2, builtin, [], []).
step(collatz(1574, [1574, 787, 2362, 1181, 3544, 1772, 886, 443, 1330, 665, 1996, 998, 499, 1498, 749, 2248, 1124, 562, 281, 844, 422, 211, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1574,
      'J' = [787, 2362, 1181, 3544, 1772, 886, 443, 1330, 665, 1996, 998, 499, 1498, 749, 2248, 1124, 562, 281, 844, 422, 211, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 787],
     [1574 > 1,
      0 is 1574 mod 2,
      787 is 1574 // 2,
      collatz(787, [787, 2362, 1181, 3544, 1772, 886, 443, 1330, 665, 1996, 998, 499, 1498, 749, 2248, 1124, 562, 281, 844, 422, 211, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1574 > 1, builtin, [], []).
step(0 is 1574 mod 2, builtin, [], []).
step(787 is 1574 // 2, builtin, [], []).
step(collatzTrajectory(698, [698, 349, 1048, 524, 262, 131, 394, 197, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 698,
      'M' = [698, 349, 1048, 524, 262, 131, 394, 197, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 302],
     [repeat(1000, 302),
      698 is 1000 - 302,
      collatz(698, [698, 349, 1048, 524, 262, 131, 394, 197, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 302),
     rule(3),
     ['N' = 1000, 'I' = 302, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 302)]).
step(between(0, 999, 302), builtin, [], []).
step(698 is 1000 - 302, builtin, [], []).
step(collatzTrajectory(697, [697, 2092, 1046, 523, 1570, 785, 2356, 1178, 589, 1768, 884, 442, 221, 664, 332, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 697,
      'M' = [697, 2092, 1046, 523, 1570, 785, 2356, 1178, 589, 1768, 884, 442, 221, 664, 332, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 303],
     [repeat(1000, 303),
      697 is 1000 - 303,
      collatz(697, [697, 2092, 1046, 523, 1570, 785, 2356, 1178, 589, 1768, 884, 442, 221, 664, 332, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 303),
     rule(3),
     ['N' = 1000, 'I' = 303, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 303)]).
step(between(0, 999, 303), builtin, [], []).
step(697 is 1000 - 303, builtin, [], []).
step(collatzTrajectory(696, [696, 348, 174, 87, 262, 131, 394, 197, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 696,
      'M' = [696, 348, 174, 87, 262, 131, 394, 197, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 304],
     [repeat(1000, 304),
      696 is 1000 - 304,
      collatz(696, [696, 348, 174, 87, 262, 131, 394, 197, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 304),
     rule(3),
     ['N' = 1000, 'I' = 304, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 304)]).
step(between(0, 999, 304), builtin, [], []).
step(696 is 1000 - 304, builtin, [], []).
step(collatz(696, [696, 348, 174, 87, 262, 131, 394, 197, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 696,
      'J' = [348, 174, 87, 262, 131, 394, 197, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 348],
     [696 > 1,
      0 is 696 mod 2,
      348 is 696 // 2,
      collatz(348, [348, 174, 87, 262, 131, 394, 197, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(696 > 1, builtin, [], []).
step(0 is 696 mod 2, builtin, [], []).
step(348 is 696 // 2, builtin, [], []).
step(collatz(348, [348, 174, 87, 262, 131, 394, 197, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 348,
      'J' = [174, 87, 262, 131, 394, 197, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 174],
     [348 > 1,
      0 is 348 mod 2,
      174 is 348 // 2,
      collatz(174, [174, 87, 262, 131, 394, 197, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(348 > 1, builtin, [], []).
step(0 is 348 mod 2, builtin, [], []).
step(174 is 348 // 2, builtin, [], []).
step(collatz(174, [174, 87, 262, 131, 394, 197, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 174,
      'J' = [87, 262, 131, 394, 197, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 87],
     [174 > 1,
      0 is 174 mod 2,
      87 is 174 // 2,
      collatz(87, [87, 262, 131, 394, 197, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(174 > 1, builtin, [], []).
step(0 is 174 mod 2, builtin, [], []).
step(87 is 174 // 2, builtin, [], []).
step(collatz(87, [87, 262, 131, 394, 197, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 87,
      'J' = [262, 131, 394, 197, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 261,
      'N1' = 262],
     [87 > 1,
      1 is 87 mod 2,
      261 is 3 * 87,
      262 is 261 + 1,
      collatz(262, [262, 131, 394, 197, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(87 > 1, builtin, [], []).
step(1 is 87 mod 2, builtin, [], []).
step(261 is 3 * 87, builtin, [], []).
step(262 is 261 + 1, builtin, [], []).
step(collatzTrajectory(695, [695, 2086, 1043, 3130, 1565, 4696, 2348, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 695,
      'M' = [695, 2086, 1043, 3130, 1565, 4696, 2348, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 305],
     [repeat(1000, 305),
      695 is 1000 - 305,
      collatz(695, [695, 2086, 1043, 3130, 1565, 4696, 2348, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 305),
     rule(3),
     ['N' = 1000, 'I' = 305, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 305)]).
step(between(0, 999, 305), builtin, [], []).
step(695 is 1000 - 305, builtin, [], []).
step(collatzTrajectory(694, [694, 347, 1042, 521, 1564, 782, 391, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 694,
      'M' = [694, 347, 1042, 521, 1564, 782, 391, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 306],
     [repeat(1000, 306),
      694 is 1000 - 306,
      collatz(694, [694, 347, 1042, 521, 1564, 782, 391, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 306),
     rule(3),
     ['N' = 1000, 'I' = 306, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 306)]).
step(between(0, 999, 306), builtin, [], []).
step(694 is 1000 - 306, builtin, [], []).
step(collatzTrajectory(693, [693, 2080, 1040, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 693,
      'M' = [693, 2080, 1040, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 307],
     [repeat(1000, 307),
      693 is 1000 - 307,
      collatz(693, [693, 2080, 1040, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 307),
     rule(3),
     ['N' = 1000, 'I' = 307, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 307)]).
step(between(0, 999, 307), builtin, [], []).
step(693 is 1000 - 307, builtin, [], []).
step(collatz(693, [693, 2080, 1040, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 693,
      'J' = [2080, 1040, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 2079,
      'N1' = 2080],
     [693 > 1,
      1 is 693 mod 2,
      2079 is 3 * 693,
      2080 is 2079 + 1,
      collatz(2080, [2080, 1040, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(693 > 1, builtin, [], []).
step(1 is 693 mod 2, builtin, [], []).
step(2079 is 3 * 693, builtin, [], []).
step(2080 is 2079 + 1, builtin, [], []).
step(collatz(2080, [2080, 1040, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 2080,
      'J' = [1040, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1040],
     [2080 > 1,
      0 is 2080 mod 2,
      1040 is 2080 // 2,
      collatz(1040, [1040, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2080 > 1, builtin, [], []).
step(0 is 2080 mod 2, builtin, [], []).
step(1040 is 2080 // 2, builtin, [], []).
step(collatz(1040, [1040, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1040,
      'J' = [520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 520],
     [1040 > 1,
      0 is 1040 mod 2,
      520 is 1040 // 2,
      collatz(520, [520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1040 > 1, builtin, [], []).
step(0 is 1040 mod 2, builtin, [], []).
step(520 is 1040 // 2, builtin, [], []).
step(collatzTrajectory(692, [692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 692,
      'M' = [692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 308],
     [repeat(1000, 308),
      692 is 1000 - 308,
      collatz(692, [692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 308),
     rule(3),
     ['N' = 1000, 'I' = 308, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 308)]).
step(between(0, 999, 308), builtin, [], []).
step(692 is 1000 - 308, builtin, [], []).
step(collatzTrajectory(691, [691, 2074, 1037, 3112, 1556, 778, 389, 1168, 584, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 691,
      'M' = [691, 2074, 1037, 3112, 1556, 778, 389, 1168, 584, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 309],
     [repeat(1000, 309),
      691 is 1000 - 309,
      collatz(691, [691, 2074, 1037, 3112, 1556, 778, 389, 1168, 584, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 309),
     rule(3),
     ['N' = 1000, 'I' = 309, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 309)]).
step(between(0, 999, 309), builtin, [], []).
step(691 is 1000 - 309, builtin, [], []).
step(collatzTrajectory(690, [690, 345, 1036, 518, 259, 778, 389, 1168, 584, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 690,
      'M' = [690, 345, 1036, 518, 259, 778, 389, 1168, 584, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 310],
     [repeat(1000, 310),
      690 is 1000 - 310,
      collatz(690, [690, 345, 1036, 518, 259, 778, 389, 1168, 584, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 310),
     rule(3),
     ['N' = 1000, 'I' = 310, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 310)]).
step(between(0, 999, 310), builtin, [], []).
step(690 is 1000 - 310, builtin, [], []).
step(collatz(690, [690, 345, 1036, 518, 259, 778, 389, 1168, 584, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 690,
      'J' = [345, 1036, 518, 259, 778, 389, 1168, 584, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 345],
     [690 > 1,
      0 is 690 mod 2,
      345 is 690 // 2,
      collatz(345, [345, 1036, 518, 259, 778, 389, 1168, 584, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(690 > 1, builtin, [], []).
step(0 is 690 mod 2, builtin, [], []).
step(345 is 690 // 2, builtin, [], []).
step(collatz(345, [345, 1036, 518, 259, 778, 389, 1168, 584, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 345,
      'J' = [1036, 518, 259, 778, 389, 1168, 584, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 1035,
      'N1' = 1036],
     [345 > 1,
      1 is 345 mod 2,
      1035 is 3 * 345,
      1036 is 1035 + 1,
      collatz(1036, [1036, 518, 259, 778, 389, 1168, 584, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(345 > 1, builtin, [], []).
step(1 is 345 mod 2, builtin, [], []).
step(1035 is 3 * 345, builtin, [], []).
step(1036 is 1035 + 1, builtin, [], []).
step(collatz(1036, [1036, 518, 259, 778, 389, 1168, 584, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1036,
      'J' = [518, 259, 778, 389, 1168, 584, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 518],
     [1036 > 1,
      0 is 1036 mod 2,
      518 is 1036 // 2,
      collatz(518, [518, 259, 778, 389, 1168, 584, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1036 > 1, builtin, [], []).
step(0 is 1036 mod 2, builtin, [], []).
step(518 is 1036 // 2, builtin, [], []).
step(collatz(518, [518, 259, 778, 389, 1168, 584, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 518,
      'J' = [259, 778, 389, 1168, 584, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 259],
     [518 > 1,
      0 is 518 mod 2,
      259 is 518 // 2,
      collatz(259, [259, 778, 389, 1168, 584, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(518 > 1, builtin, [], []).
step(0 is 518 mod 2, builtin, [], []).
step(259 is 518 // 2, builtin, [], []).
step(collatz(259, [259, 778, 389, 1168, 584, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 259,
      'J' = [778, 389, 1168, 584, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 777,
      'N1' = 778],
     [259 > 1,
      1 is 259 mod 2,
      777 is 3 * 259,
      778 is 777 + 1,
      collatz(778, [778, 389, 1168, 584, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(259 > 1, builtin, [], []).
step(1 is 259 mod 2, builtin, [], []).
step(777 is 3 * 259, builtin, [], []).
step(778 is 777 + 1, builtin, [], []).
step(collatzTrajectory(689, [689, 2068, 1034, 517, 1552, 776, 388, 194, 97, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 689,
      'M' = [689, 2068, 1034, 517, 1552, 776, 388, 194, 97, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 311],
     [repeat(1000, 311),
      689 is 1000 - 311,
      collatz(689, [689, 2068, 1034, 517, 1552, 776, 388, 194, 97, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 311),
     rule(3),
     ['N' = 1000, 'I' = 311, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 311)]).
step(between(0, 999, 311), builtin, [], []).
step(689 is 1000 - 311, builtin, [], []).
step(collatzTrajectory(688, [688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 688,
      'M' = [688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 312],
     [repeat(1000, 312),
      688 is 1000 - 312,
      collatz(688, [688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 312),
     rule(3),
     ['N' = 1000, 'I' = 312, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 312)]).
step(between(0, 999, 312), builtin, [], []).
step(688 is 1000 - 312, builtin, [], []).
step(collatzTrajectory(687, [687, 2062, 1031, 3094, 1547, 4642, 2321, 6964, 3482, 1741, 5224, 2612, 1306, 653, 1960, 980, 490, 245, 736, 368, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 687,
      'M' = [687, 2062, 1031, 3094, 1547, 4642, 2321, 6964, 3482, 1741, 5224, 2612, 1306, 653, 1960, 980, 490, 245, 736, 368, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 313],
     [repeat(1000, 313),
      687 is 1000 - 313,
      collatz(687, [687, 2062, 1031, 3094, 1547, 4642, 2321, 6964, 3482, 1741, 5224, 2612, 1306, 653, 1960, 980, 490, 245, 736, 368, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 313),
     rule(3),
     ['N' = 1000, 'I' = 313, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 313)]).
step(between(0, 999, 313), builtin, [], []).
step(687 is 1000 - 313, builtin, [], []).
step(collatz(687, [687, 2062, 1031, 3094, 1547, 4642, 2321, 6964, 3482, 1741, 5224, 2612, 1306, 653, 1960, 980, 490, 245, 736, 368, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 687,
      'J' = [2062, 1031, 3094, 1547, 4642, 2321, 6964, 3482, 1741, 5224, 2612, 1306, 653, 1960, 980, 490, 245, 736, 368, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 2061,
      'N1' = 2062],
     [687 > 1,
      1 is 687 mod 2,
      2061 is 3 * 687,
      2062 is 2061 + 1,
      collatz(2062, [2062, 1031, 3094, 1547, 4642, 2321, 6964, 3482, 1741, 5224, 2612, 1306, 653, 1960, 980, 490, 245, 736, 368, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(687 > 1, builtin, [], []).
step(1 is 687 mod 2, builtin, [], []).
step(2061 is 3 * 687, builtin, [], []).
step(2062 is 2061 + 1, builtin, [], []).
step(collatz(2062, [2062, 1031, 3094, 1547, 4642, 2321, 6964, 3482, 1741, 5224, 2612, 1306, 653, 1960, 980, 490, 245, 736, 368, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 2062,
      'J' = [1031, 3094, 1547, 4642, 2321, 6964, 3482, 1741, 5224, 2612, 1306, 653, 1960, 980, 490, 245, 736, 368, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1031],
     [2062 > 1,
      0 is 2062 mod 2,
      1031 is 2062 // 2,
      collatz(1031, [1031, 3094, 1547, 4642, 2321, 6964, 3482, 1741, 5224, 2612, 1306, 653, 1960, 980, 490, 245, 736, 368, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2062 > 1, builtin, [], []).
step(0 is 2062 mod 2, builtin, [], []).
step(1031 is 2062 // 2, builtin, [], []).
step(collatz(1031, [1031, 3094, 1547, 4642, 2321, 6964, 3482, 1741, 5224, 2612, 1306, 653, 1960, 980, 490, 245, 736, 368, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 1031,
      'J' = [3094, 1547, 4642, 2321, 6964, 3482, 1741, 5224, 2612, 1306, 653, 1960, 980, 490, 245, 736, 368, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 3093,
      'N1' = 3094],
     [1031 > 1,
      1 is 1031 mod 2,
      3093 is 3 * 1031,
      3094 is 3093 + 1,
      collatz(3094, [3094, 1547, 4642, 2321, 6964, 3482, 1741, 5224, 2612, 1306, 653, 1960, 980, 490, 245, 736, 368, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1031 > 1, builtin, [], []).
step(1 is 1031 mod 2, builtin, [], []).
step(3093 is 3 * 1031, builtin, [], []).
step(3094 is 3093 + 1, builtin, [], []).
step(collatz(3094, [3094, 1547, 4642, 2321, 6964, 3482, 1741, 5224, 2612, 1306, 653, 1960, 980, 490, 245, 736, 368, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 3094,
      'J' = [1547, 4642, 2321, 6964, 3482, 1741, 5224, 2612, 1306, 653, 1960, 980, 490, 245, 736, 368, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1547],
     [3094 > 1,
      0 is 3094 mod 2,
      1547 is 3094 // 2,
      collatz(1547, [1547, 4642, 2321, 6964, 3482, 1741, 5224, 2612, 1306, 653, 1960, 980, 490, 245, 736, 368, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(3094 > 1, builtin, [], []).
step(0 is 3094 mod 2, builtin, [], []).
step(1547 is 3094 // 2, builtin, [], []).
step(collatz(1547, [1547, 4642, 2321, 6964, 3482, 1741, 5224, 2612, 1306, 653, 1960, 980, 490, 245, 736, 368, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 1547,
      'J' = [4642, 2321, 6964, 3482, 1741, 5224, 2612, 1306, 653, 1960, 980, 490, 245, 736, 368, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 4641,
      'N1' = 4642],
     [1547 > 1,
      1 is 1547 mod 2,
      4641 is 3 * 1547,
      4642 is 4641 + 1,
      collatz(4642, [4642, 2321, 6964, 3482, 1741, 5224, 2612, 1306, 653, 1960, 980, 490, 245, 736, 368, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1547 > 1, builtin, [], []).
step(1 is 1547 mod 2, builtin, [], []).
step(4641 is 3 * 1547, builtin, [], []).
step(4642 is 4641 + 1, builtin, [], []).
step(collatz(4642, [4642, 2321, 6964, 3482, 1741, 5224, 2612, 1306, 653, 1960, 980, 490, 245, 736, 368, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 4642,
      'J' = [2321, 6964, 3482, 1741, 5224, 2612, 1306, 653, 1960, 980, 490, 245, 736, 368, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 2321],
     [4642 > 1,
      0 is 4642 mod 2,
      2321 is 4642 // 2,
      collatz(2321, [2321, 6964, 3482, 1741, 5224, 2612, 1306, 653, 1960, 980, 490, 245, 736, 368, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(4642 > 1, builtin, [], []).
step(0 is 4642 mod 2, builtin, [], []).
step(2321 is 4642 // 2, builtin, [], []).
step(collatz(2321, [2321, 6964, 3482, 1741, 5224, 2612, 1306, 653, 1960, 980, 490, 245, 736, 368, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 2321,
      'J' = [6964, 3482, 1741, 5224, 2612, 1306, 653, 1960, 980, 490, 245, 736, 368, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 6963,
      'N1' = 6964],
     [2321 > 1,
      1 is 2321 mod 2,
      6963 is 3 * 2321,
      6964 is 6963 + 1,
      collatz(6964, [6964, 3482, 1741, 5224, 2612, 1306, 653, 1960, 980, 490, 245, 736, 368, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2321 > 1, builtin, [], []).
step(1 is 2321 mod 2, builtin, [], []).
step(6963 is 3 * 2321, builtin, [], []).
step(6964 is 6963 + 1, builtin, [], []).
step(collatz(6964, [6964, 3482, 1741, 5224, 2612, 1306, 653, 1960, 980, 490, 245, 736, 368, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 6964,
      'J' = [3482, 1741, 5224, 2612, 1306, 653, 1960, 980, 490, 245, 736, 368, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 3482],
     [6964 > 1,
      0 is 6964 mod 2,
      3482 is 6964 // 2,
      collatz(3482, [3482, 1741, 5224, 2612, 1306, 653, 1960, 980, 490, 245, 736, 368, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(6964 > 1, builtin, [], []).
step(0 is 6964 mod 2, builtin, [], []).
step(3482 is 6964 // 2, builtin, [], []).
step(collatz(3482, [3482, 1741, 5224, 2612, 1306, 653, 1960, 980, 490, 245, 736, 368, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 3482,
      'J' = [1741, 5224, 2612, 1306, 653, 1960, 980, 490, 245, 736, 368, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1741],
     [3482 > 1,
      0 is 3482 mod 2,
      1741 is 3482 // 2,
      collatz(1741, [1741, 5224, 2612, 1306, 653, 1960, 980, 490, 245, 736, 368, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(3482 > 1, builtin, [], []).
step(0 is 3482 mod 2, builtin, [], []).
step(1741 is 3482 // 2, builtin, [], []).
step(collatz(1741, [1741, 5224, 2612, 1306, 653, 1960, 980, 490, 245, 736, 368, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 1741,
      'J' = [5224, 2612, 1306, 653, 1960, 980, 490, 245, 736, 368, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 5223,
      'N1' = 5224],
     [1741 > 1,
      1 is 1741 mod 2,
      5223 is 3 * 1741,
      5224 is 5223 + 1,
      collatz(5224, [5224, 2612, 1306, 653, 1960, 980, 490, 245, 736, 368, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1741 > 1, builtin, [], []).
step(1 is 1741 mod 2, builtin, [], []).
step(5223 is 3 * 1741, builtin, [], []).
step(5224 is 5223 + 1, builtin, [], []).
step(collatz(5224, [5224, 2612, 1306, 653, 1960, 980, 490, 245, 736, 368, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 5224,
      'J' = [2612, 1306, 653, 1960, 980, 490, 245, 736, 368, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 2612],
     [5224 > 1,
      0 is 5224 mod 2,
      2612 is 5224 // 2,
      collatz(2612, [2612, 1306, 653, 1960, 980, 490, 245, 736, 368, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(5224 > 1, builtin, [], []).
step(0 is 5224 mod 2, builtin, [], []).
step(2612 is 5224 // 2, builtin, [], []).
step(collatz(2612, [2612, 1306, 653, 1960, 980, 490, 245, 736, 368, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 2612,
      'J' = [1306, 653, 1960, 980, 490, 245, 736, 368, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1306],
     [2612 > 1,
      0 is 2612 mod 2,
      1306 is 2612 // 2,
      collatz(1306, [1306, 653, 1960, 980, 490, 245, 736, 368, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2612 > 1, builtin, [], []).
step(0 is 2612 mod 2, builtin, [], []).
step(1306 is 2612 // 2, builtin, [], []).
step(collatzTrajectory(686, [686, 343, 1030, 515, 1546, 773, 2320, 1160, 580, 290, 145, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 686,
      'M' = [686, 343, 1030, 515, 1546, 773, 2320, 1160, 580, 290, 145, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 314],
     [repeat(1000, 314),
      686 is 1000 - 314,
      collatz(686, [686, 343, 1030, 515, 1546, 773, 2320, 1160, 580, 290, 145, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 314),
     rule(3),
     ['N' = 1000, 'I' = 314, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 314)]).
step(between(0, 999, 314), builtin, [], []).
step(686 is 1000 - 314, builtin, [], []).
step(collatzTrajectory(685, [685, 2056, 1028, 514, 257, 772, 386, 193, 580, 290, 145, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 685,
      'M' = [685, 2056, 1028, 514, 257, 772, 386, 193, 580, 290, 145, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 315],
     [repeat(1000, 315),
      685 is 1000 - 315,
      collatz(685, [685, 2056, 1028, 514, 257, 772, 386, 193, 580, 290, 145, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 315),
     rule(3),
     ['N' = 1000, 'I' = 315, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 315)]).
step(between(0, 999, 315), builtin, [], []).
step(685 is 1000 - 315, builtin, [], []).
step(collatzTrajectory(684, [684, 342, 171, 514, 257, 772, 386, 193, 580, 290, 145, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 684,
      'M' = [684, 342, 171, 514, 257, 772, 386, 193, 580, 290, 145, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 316],
     [repeat(1000, 316),
      684 is 1000 - 316,
      collatz(684, [684, 342, 171, 514, 257, 772, 386, 193, 580, 290, 145, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 316),
     rule(3),
     ['N' = 1000, 'I' = 316, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 316)]).
step(between(0, 999, 316), builtin, [], []).
step(684 is 1000 - 316, builtin, [], []).
step(collatz(684, [684, 342, 171, 514, 257, 772, 386, 193, 580, 290, 145, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 684,
      'J' = [342, 171, 514, 257, 772, 386, 193, 580, 290, 145, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 342],
     [684 > 1,
      0 is 684 mod 2,
      342 is 684 // 2,
      collatz(342, [342, 171, 514, 257, 772, 386, 193, 580, 290, 145, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(684 > 1, builtin, [], []).
step(0 is 684 mod 2, builtin, [], []).
step(342 is 684 // 2, builtin, [], []).
step(collatz(342, [342, 171, 514, 257, 772, 386, 193, 580, 290, 145, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 342,
      'J' = [171, 514, 257, 772, 386, 193, 580, 290, 145, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 171],
     [342 > 1,
      0 is 342 mod 2,
      171 is 342 // 2,
      collatz(171, [171, 514, 257, 772, 386, 193, 580, 290, 145, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(342 > 1, builtin, [], []).
step(0 is 342 mod 2, builtin, [], []).
step(171 is 342 // 2, builtin, [], []).
step(collatz(171, [171, 514, 257, 772, 386, 193, 580, 290, 145, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 171,
      'J' = [514, 257, 772, 386, 193, 580, 290, 145, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 513,
      'N1' = 514],
     [171 > 1,
      1 is 171 mod 2,
      513 is 3 * 171,
      514 is 513 + 1,
      collatz(514, [514, 257, 772, 386, 193, 580, 290, 145, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(171 > 1, builtin, [], []).
step(1 is 171 mod 2, builtin, [], []).
step(513 is 3 * 171, builtin, [], []).
step(514 is 513 + 1, builtin, [], []).
step(collatzTrajectory(683, [683, 2050, 1025, 3076, 1538, 769, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 683,
      'M' = [683, 2050, 1025, 3076, 1538, 769, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 317],
     [repeat(1000, 317),
      683 is 1000 - 317,
      collatz(683, [683, 2050, 1025, 3076, 1538, 769, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 317),
     rule(3),
     ['N' = 1000, 'I' = 317, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 317)]).
step(between(0, 999, 317), builtin, [], []).
step(683 is 1000 - 317, builtin, [], []).
step(collatzTrajectory(682, [682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 682, 'M' = [682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1], 'N0' = 318],
     [repeat(1000, 318),
      682 is 1000 - 318,
      collatz(682, [682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1])]).
step(repeat(1000, 318),
     rule(3),
     ['N' = 1000, 'I' = 318, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 318)]).
step(between(0, 999, 318), builtin, [], []).
step(682 is 1000 - 318, builtin, [], []).
step(collatzTrajectory(681, [681, 2044, 1022, 511, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 681,
      'M' = [681, 2044, 1022, 511, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 319],
     [repeat(1000, 319),
      681 is 1000 - 319,
      collatz(681, [681, 2044, 1022, 511, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 319),
     rule(3),
     ['N' = 1000, 'I' = 319, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 319)]).
step(between(0, 999, 319), builtin, [], []).
step(681 is 1000 - 319, builtin, [], []).
step(collatz(681, [681, 2044, 1022, 511, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 681,
      'J' = [2044, 1022, 511, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 2043,
      'N1' = 2044],
     [681 > 1,
      1 is 681 mod 2,
      2043 is 3 * 681,
      2044 is 2043 + 1,
      collatz(2044, [2044, 1022, 511, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(681 > 1, builtin, [], []).
step(1 is 681 mod 2, builtin, [], []).
step(2043 is 3 * 681, builtin, [], []).
step(2044 is 2043 + 1, builtin, [], []).
step(collatz(2044, [2044, 1022, 511, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 2044,
      'J' = [1022, 511, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1022],
     [2044 > 1,
      0 is 2044 mod 2,
      1022 is 2044 // 2,
      collatz(1022, [1022, 511, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2044 > 1, builtin, [], []).
step(0 is 2044 mod 2, builtin, [], []).
step(1022 is 2044 // 2, builtin, [], []).
step(collatz(1022, [1022, 511, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1022,
      'J' = [511, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 511],
     [1022 > 1,
      0 is 1022 mod 2,
      511 is 1022 // 2,
      collatz(511, [511, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1022 > 1, builtin, [], []).
step(0 is 1022 mod 2, builtin, [], []).
step(511 is 1022 // 2, builtin, [], []).
step(collatz(511, [511, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 511,
      'J' = [1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 1533,
      'N1' = 1534],
     [511 > 1,
      1 is 511 mod 2,
      1533 is 3 * 511,
      1534 is 1533 + 1,
      collatz(1534, [1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(511 > 1, builtin, [], []).
step(1 is 511 mod 2, builtin, [], []).
step(1533 is 3 * 511, builtin, [], []).
step(1534 is 1533 + 1, builtin, [], []).
step(collatzTrajectory(680, [680, 340, 170, 85, 256, 128, 64, 32, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 680, 'M' = [680, 340, 170, 85, 256, 128, 64, 32, 16, 8, 4, 2, 1], 'N0' = 320],
     [repeat(1000, 320),
      680 is 1000 - 320,
      collatz(680, [680, 340, 170, 85, 256, 128, 64, 32, 16, 8, 4, 2, 1])]).
step(repeat(1000, 320),
     rule(3),
     ['N' = 1000, 'I' = 320, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 320)]).
step(between(0, 999, 320), builtin, [], []).
step(680 is 1000 - 320, builtin, [], []).
step(collatzTrajectory(679, [679, 2038, 1019, 3058, 1529, 4588, 2294, 1147, 3442, 1721, 5164, 2582, 1291, 3874, 1937, 5812, 2906, 1453, 4360, 2180, 1090, 545, 1636, 818, 409, 1228, 614, 307, 922, 461, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 679,
      'M' = [679, 2038, 1019, 3058, 1529, 4588, 2294, 1147, 3442, 1721, 5164, 2582, 1291, 3874, 1937, 5812, 2906, 1453, 4360, 2180, 1090, 545, 1636, 818, 409, 1228, 614, 307, 922, 461, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 321],
     [repeat(1000, 321),
      679 is 1000 - 321,
      collatz(679, [679, 2038, 1019, 3058, 1529, 4588, 2294, 1147, 3442, 1721, 5164, 2582, 1291, 3874, 1937, 5812, 2906, 1453, 4360, 2180, 1090, 545, 1636, 818, 409, 1228, 614, 307, 922, 461, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 321),
     rule(3),
     ['N' = 1000, 'I' = 321, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 321)]).
step(between(0, 999, 321), builtin, [], []).
step(679 is 1000 - 321, builtin, [], []).
step(collatzTrajectory(678, [678, 339, 1018, 509, 1528, 764, 382, 191, 574, 287, 862, 431, 1294, 647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 678,
      'M' = [678, 339, 1018, 509, 1528, 764, 382, 191, 574, 287, 862, 431, 1294, 647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 322],
     [repeat(1000, 322),
      678 is 1000 - 322,
      collatz(678, [678, 339, 1018, 509, 1528, 764, 382, 191, 574, 287, 862, 431, 1294, 647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 322),
     rule(3),
     ['N' = 1000, 'I' = 322, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 322)]).
step(between(0, 999, 322), builtin, [], []).
step(678 is 1000 - 322, builtin, [], []).
step(collatz(678, [678, 339, 1018, 509, 1528, 764, 382, 191, 574, 287, 862, 431, 1294, 647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 678,
      'J' = [339, 1018, 509, 1528, 764, 382, 191, 574, 287, 862, 431, 1294, 647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 339],
     [678 > 1,
      0 is 678 mod 2,
      339 is 678 // 2,
      collatz(339, [339, 1018, 509, 1528, 764, 382, 191, 574, 287, 862, 431, 1294, 647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(678 > 1, builtin, [], []).
step(0 is 678 mod 2, builtin, [], []).
step(339 is 678 // 2, builtin, [], []).
step(collatz(339, [339, 1018, 509, 1528, 764, 382, 191, 574, 287, 862, 431, 1294, 647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 339,
      'J' = [1018, 509, 1528, 764, 382, 191, 574, 287, 862, 431, 1294, 647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 1017,
      'N1' = 1018],
     [339 > 1,
      1 is 339 mod 2,
      1017 is 3 * 339,
      1018 is 1017 + 1,
      collatz(1018, [1018, 509, 1528, 764, 382, 191, 574, 287, 862, 431, 1294, 647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(339 > 1, builtin, [], []).
step(1 is 339 mod 2, builtin, [], []).
step(1017 is 3 * 339, builtin, [], []).
step(1018 is 1017 + 1, builtin, [], []).
step(collatz(1018, [1018, 509, 1528, 764, 382, 191, 574, 287, 862, 431, 1294, 647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1018,
      'J' = [509, 1528, 764, 382, 191, 574, 287, 862, 431, 1294, 647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 509],
     [1018 > 1,
      0 is 1018 mod 2,
      509 is 1018 // 2,
      collatz(509, [509, 1528, 764, 382, 191, 574, 287, 862, 431, 1294, 647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1018 > 1, builtin, [], []).
step(0 is 1018 mod 2, builtin, [], []).
step(509 is 1018 // 2, builtin, [], []).
step(collatz(509, [509, 1528, 764, 382, 191, 574, 287, 862, 431, 1294, 647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 509,
      'J' = [1528, 764, 382, 191, 574, 287, 862, 431, 1294, 647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 1527,
      'N1' = 1528],
     [509 > 1,
      1 is 509 mod 2,
      1527 is 3 * 509,
      1528 is 1527 + 1,
      collatz(1528, [1528, 764, 382, 191, 574, 287, 862, 431, 1294, 647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(509 > 1, builtin, [], []).
step(1 is 509 mod 2, builtin, [], []).
step(1527 is 3 * 509, builtin, [], []).
step(1528 is 1527 + 1, builtin, [], []).
step(collatz(1528, [1528, 764, 382, 191, 574, 287, 862, 431, 1294, 647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1528,
      'J' = [764, 382, 191, 574, 287, 862, 431, 1294, 647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 764],
     [1528 > 1,
      0 is 1528 mod 2,
      764 is 1528 // 2,
      collatz(764, [764, 382, 191, 574, 287, 862, 431, 1294, 647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1528 > 1, builtin, [], []).
step(0 is 1528 mod 2, builtin, [], []).
step(764 is 1528 // 2, builtin, [], []).
step(collatzTrajectory(677, [677, 2032, 1016, 508, 254, 127, 382, 191, 574, 287, 862, 431, 1294, 647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 677,
      'M' = [677, 2032, 1016, 508, 254, 127, 382, 191, 574, 287, 862, 431, 1294, 647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 323],
     [repeat(1000, 323),
      677 is 1000 - 323,
      collatz(677, [677, 2032, 1016, 508, 254, 127, 382, 191, 574, 287, 862, 431, 1294, 647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 323),
     rule(3),
     ['N' = 1000, 'I' = 323, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 323)]).
step(between(0, 999, 323), builtin, [], []).
step(677 is 1000 - 323, builtin, [], []).
step(collatzTrajectory(676, [676, 338, 169, 508, 254, 127, 382, 191, 574, 287, 862, 431, 1294, 647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 676,
      'M' = [676, 338, 169, 508, 254, 127, 382, 191, 574, 287, 862, 431, 1294, 647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 324],
     [repeat(1000, 324),
      676 is 1000 - 324,
      collatz(676, [676, 338, 169, 508, 254, 127, 382, 191, 574, 287, 862, 431, 1294, 647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 324),
     rule(3),
     ['N' = 1000, 'I' = 324, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 324)]).
step(between(0, 999, 324), builtin, [], []).
step(676 is 1000 - 324, builtin, [], []).
step(collatzTrajectory(675, [675, 2026, 1013, 3040, 1520, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 675,
      'M' = [675, 2026, 1013, 3040, 1520, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 325],
     [repeat(1000, 325),
      675 is 1000 - 325,
      collatz(675, [675, 2026, 1013, 3040, 1520, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 325),
     rule(3),
     ['N' = 1000, 'I' = 325, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 325)]).
step(between(0, 999, 325), builtin, [], []).
step(675 is 1000 - 325, builtin, [], []).
step(collatz(675, [675, 2026, 1013, 3040, 1520, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 675,
      'J' = [2026, 1013, 3040, 1520, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 2025,
      'N1' = 2026],
     [675 > 1,
      1 is 675 mod 2,
      2025 is 3 * 675,
      2026 is 2025 + 1,
      collatz(2026, [2026, 1013, 3040, 1520, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(675 > 1, builtin, [], []).
step(1 is 675 mod 2, builtin, [], []).
step(2025 is 3 * 675, builtin, [], []).
step(2026 is 2025 + 1, builtin, [], []).
step(collatz(2026, [2026, 1013, 3040, 1520, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 2026,
      'J' = [1013, 3040, 1520, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1013],
     [2026 > 1,
      0 is 2026 mod 2,
      1013 is 2026 // 2,
      collatz(1013, [1013, 3040, 1520, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2026 > 1, builtin, [], []).
step(0 is 2026 mod 2, builtin, [], []).
step(1013 is 2026 // 2, builtin, [], []).
step(collatz(1013, [1013, 3040, 1520, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 1013,
      'J' = [3040, 1520, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 3039,
      'N1' = 3040],
     [1013 > 1,
      1 is 1013 mod 2,
      3039 is 3 * 1013,
      3040 is 3039 + 1,
      collatz(3040, [3040, 1520, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1013 > 1, builtin, [], []).
step(1 is 1013 mod 2, builtin, [], []).
step(3039 is 3 * 1013, builtin, [], []).
step(3040 is 3039 + 1, builtin, [], []).
step(collatz(3040, [3040, 1520, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 3040,
      'J' = [1520, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1520],
     [3040 > 1,
      0 is 3040 mod 2,
      1520 is 3040 // 2,
      collatz(1520, [1520, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(3040 > 1, builtin, [], []).
step(0 is 3040 mod 2, builtin, [], []).
step(1520 is 3040 // 2, builtin, [], []).
step(collatz(1520, [1520, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1520,
      'J' = [760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 760],
     [1520 > 1,
      0 is 1520 mod 2,
      760 is 1520 // 2,
      collatz(760, [760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1520 > 1, builtin, [], []).
step(0 is 1520 mod 2, builtin, [], []).
step(760 is 1520 // 2, builtin, [], []).
step(collatzTrajectory(674, [674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 674,
      'M' = [674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 326],
     [repeat(1000, 326),
      674 is 1000 - 326,
      collatz(674, [674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 326),
     rule(3),
     ['N' = 1000, 'I' = 326, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 326)]).
step(between(0, 999, 326), builtin, [], []).
step(674 is 1000 - 326, builtin, [], []).
step(collatzTrajectory(673, [673, 2020, 1010, 505, 1516, 758, 379, 1138, 569, 1708, 854, 427, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 673,
      'M' = [673, 2020, 1010, 505, 1516, 758, 379, 1138, 569, 1708, 854, 427, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 327],
     [repeat(1000, 327),
      673 is 1000 - 327,
      collatz(673, [673, 2020, 1010, 505, 1516, 758, 379, 1138, 569, 1708, 854, 427, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 327),
     rule(3),
     ['N' = 1000, 'I' = 327, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 327)]).
step(between(0, 999, 327), builtin, [], []).
step(673 is 1000 - 327, builtin, [], []).
step(collatzTrajectory(672, [672, 336, 168, 84, 42, 21, 64, 32, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 672, 'M' = [672, 336, 168, 84, 42, 21, 64, 32, 16, 8, 4, 2, 1], 'N0' = 328],
     [repeat(1000, 328),
      672 is 1000 - 328,
      collatz(672, [672, 336, 168, 84, 42, 21, 64, 32, 16, 8, 4, 2, 1])]).
step(repeat(1000, 328),
     rule(3),
     ['N' = 1000, 'I' = 328, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 328)]).
step(between(0, 999, 328), builtin, [], []).
step(672 is 1000 - 328, builtin, [], []).
step(collatz(672, [672, 336, 168, 84, 42, 21, 64, 32, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 672, 'J' = [336, 168, 84, 42, 21, 64, 32, 16, 8, 4, 2, 1], 'N1' = 336],
     [672 > 1,
      0 is 672 mod 2,
      336 is 672 // 2,
      collatz(336, [336, 168, 84, 42, 21, 64, 32, 16, 8, 4, 2, 1])]).
step(672 > 1, builtin, [], []).
step(0 is 672 mod 2, builtin, [], []).
step(336 is 672 // 2, builtin, [], []).
step(collatz(336, [336, 168, 84, 42, 21, 64, 32, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 336, 'J' = [168, 84, 42, 21, 64, 32, 16, 8, 4, 2, 1], 'N1' = 168],
     [336 > 1,
      0 is 336 mod 2,
      168 is 336 // 2,
      collatz(168, [168, 84, 42, 21, 64, 32, 16, 8, 4, 2, 1])]).
step(336 > 1, builtin, [], []).
step(0 is 336 mod 2, builtin, [], []).
step(168 is 336 // 2, builtin, [], []).
step(collatz(168, [168, 84, 42, 21, 64, 32, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 168, 'J' = [84, 42, 21, 64, 32, 16, 8, 4, 2, 1], 'N1' = 84],
     [168 > 1,
      0 is 168 mod 2,
      84 is 168 // 2,
      collatz(84, [84, 42, 21, 64, 32, 16, 8, 4, 2, 1])]).
step(168 > 1, builtin, [], []).
step(0 is 168 mod 2, builtin, [], []).
step(84 is 168 // 2, builtin, [], []).
step(collatz(84, [84, 42, 21, 64, 32, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 84, 'J' = [42, 21, 64, 32, 16, 8, 4, 2, 1], 'N1' = 42],
     [84 > 1, 0 is 84 mod 2, 42 is 84 // 2, collatz(42, [42, 21, 64, 32, 16, 8, 4, 2, 1])]).
step(84 > 1, builtin, [], []).
step(0 is 84 mod 2, builtin, [], []).
step(42 is 84 // 2, builtin, [], []).
step(collatz(42, [42, 21, 64, 32, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 42, 'J' = [21, 64, 32, 16, 8, 4, 2, 1], 'N1' = 21],
     [42 > 1, 0 is 42 mod 2, 21 is 42 // 2, collatz(21, [21, 64, 32, 16, 8, 4, 2, 1])]).
step(42 > 1, builtin, [], []).
step(0 is 42 mod 2, builtin, [], []).
step(21 is 42 // 2, builtin, [], []).
step(collatz(21, [21, 64, 32, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 21, 'J' = [64, 32, 16, 8, 4, 2, 1], 'T' = 63, 'N1' = 64],
     [21 > 1, 1 is 21 mod 2, 63 is 3 * 21, 64 is 63 + 1, collatz(64, [64, 32, 16, 8, 4, 2, 1])]).
step(21 > 1, builtin, [], []).
step(1 is 21 mod 2, builtin, [], []).
step(63 is 3 * 21, builtin, [], []).
step(64 is 63 + 1, builtin, [], []).
step(collatzTrajectory(671, [671, 2014, 1007, 3022, 1511, 4534, 2267, 6802, 3401, 10204, 5102, 2551, 7654, 3827, 11482, 5741, 17224, 8612, 4306, 2153, 6460, 3230, 1615, 4846, 2423, 7270, 3635, 10906, 5453, 16360, 8180, 4090, 2045, 6136, 3068, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 671,
      'M' = [671, 2014, 1007, 3022, 1511, 4534, 2267, 6802, 3401, 10204, 5102, 2551, 7654, 3827, 11482, 5741, 17224, 8612, 4306, 2153, 6460, 3230, 1615, 4846, 2423, 7270, 3635, 10906, 5453, 16360, 8180, 4090, 2045, 6136, 3068, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 329],
     [repeat(1000, 329),
      671 is 1000 - 329,
      collatz(671, [671, 2014, 1007, 3022, 1511, 4534, 2267, 6802, 3401, 10204, 5102, 2551, 7654, 3827, 11482, 5741, 17224, 8612, 4306, 2153, 6460, 3230, 1615, 4846, 2423, 7270, 3635, 10906, 5453, 16360, 8180, 4090, 2045, 6136, 3068, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 329),
     rule(3),
     ['N' = 1000, 'I' = 329, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 329)]).
step(between(0, 999, 329), builtin, [], []).
step(671 is 1000 - 329, builtin, [], []).
step(collatzTrajectory(670, [670, 335, 1006, 503, 1510, 755, 2266, 1133, 3400, 1700, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 670,
      'M' = [670, 335, 1006, 503, 1510, 755, 2266, 1133, 3400, 1700, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 330],
     [repeat(1000, 330),
      670 is 1000 - 330,
      collatz(670, [670, 335, 1006, 503, 1510, 755, 2266, 1133, 3400, 1700, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 330),
     rule(3),
     ['N' = 1000, 'I' = 330, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 330)]).
step(between(0, 999, 330), builtin, [], []).
step(670 is 1000 - 330, builtin, [], []).
step(collatzTrajectory(669, [669, 2008, 1004, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 669,
      'M' = [669, 2008, 1004, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 331],
     [repeat(1000, 331),
      669 is 1000 - 331,
      collatz(669, [669, 2008, 1004, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 331),
     rule(3),
     ['N' = 1000, 'I' = 331, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 331)]).
step(between(0, 999, 331), builtin, [], []).
step(669 is 1000 - 331, builtin, [], []).
step(collatz(669, [669, 2008, 1004, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 669,
      'J' = [2008, 1004, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 2007,
      'N1' = 2008],
     [669 > 1,
      1 is 669 mod 2,
      2007 is 3 * 669,
      2008 is 2007 + 1,
      collatz(2008, [2008, 1004, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(669 > 1, builtin, [], []).
step(1 is 669 mod 2, builtin, [], []).
step(2007 is 3 * 669, builtin, [], []).
step(2008 is 2007 + 1, builtin, [], []).
step(collatz(2008, [2008, 1004, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 2008,
      'J' = [1004, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 1004],
     [2008 > 1,
      0 is 2008 mod 2,
      1004 is 2008 // 2,
      collatz(1004, [1004, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(2008 > 1, builtin, [], []).
step(0 is 2008 mod 2, builtin, [], []).
step(1004 is 2008 // 2, builtin, [], []).
step(collatz(1004, [1004, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1004,
      'J' = [502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 502],
     [1004 > 1,
      0 is 1004 mod 2,
      502 is 1004 // 2,
      collatz(502, [502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1004 > 1, builtin, [], []).
step(0 is 1004 mod 2, builtin, [], []).
step(502 is 1004 // 2, builtin, [], []).
step(collatzTrajectory(668, [668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 668,
      'M' = [668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 332],
     [repeat(1000, 332),
      668 is 1000 - 332,
      collatz(668, [668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 332),
     rule(3),
     ['N' = 1000, 'I' = 332, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 332)]).
step(between(0, 999, 332), builtin, [], []).
step(668 is 1000 - 332, builtin, [], []).
step(collatzTrajectory(667, [667, 2002, 1001, 3004, 1502, 751, 2254, 1127, 3382, 1691, 5074, 2537, 7612, 3806, 1903, 5710, 2855, 8566, 4283, 12850, 6425, 19276, 9638, 4819, 14458, 7229, 21688, 10844, 5422, 2711, 8134, 4067, 12202, 6101, 18304, 9152, 4576, 2288, 1144, 572, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 667,
      'M' = [667, 2002, 1001, 3004, 1502, 751, 2254, 1127, 3382, 1691, 5074, 2537, 7612, 3806, 1903, 5710, 2855, 8566, 4283, 12850, 6425, 19276, 9638, 4819, 14458, 7229, 21688, 10844, 5422, 2711, 8134, 4067, 12202, 6101, 18304, 9152, 4576, 2288, 1144, 572, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 333],
     [repeat(1000, 333),
      667 is 1000 - 333,
      collatz(667, [667, 2002, 1001, 3004, 1502, 751, 2254, 1127, 3382, 1691, 5074, 2537, 7612, 3806, 1903, 5710, 2855, 8566, 4283, 12850, 6425, 19276, 9638, 4819, 14458, 7229, 21688, 10844, 5422, 2711, 8134, 4067, 12202, 6101, 18304, 9152, 4576, 2288, 1144, 572, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 333),
     rule(3),
     ['N' = 1000, 'I' = 333, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 333)]).
step(between(0, 999, 333), builtin, [], []).
step(667 is 1000 - 333, builtin, [], []).
step(collatzTrajectory(666, [666, 333, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 666,
      'M' = [666, 333, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 334],
     [repeat(1000, 334),
      666 is 1000 - 334,
      collatz(666, [666, 333, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 334),
     rule(3),
     ['N' = 1000, 'I' = 334, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 334)]).
step(between(0, 999, 334), builtin, [], []).
step(666 is 1000 - 334, builtin, [], []).
step(collatz(666, [666, 333, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 666,
      'J' = [333, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 333],
     [666 > 1,
      0 is 666 mod 2,
      333 is 666 // 2,
      collatz(333, [333, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(666 > 1, builtin, [], []).
step(0 is 666 mod 2, builtin, [], []).
step(333 is 666 // 2, builtin, [], []).
step(collatz(333, [333, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 333,
      'J' = [1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 999,
      'N1' = 1000],
     [333 > 1,
      1 is 333 mod 2,
      999 is 3 * 333,
      1000 is 999 + 1,
      collatz(1000, [1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(333 > 1, builtin, [], []).
step(1 is 333 mod 2, builtin, [], []).
step(999 is 3 * 333, builtin, [], []).
step(1000 is 999 + 1, builtin, [], []).
step(collatzTrajectory(665, [665, 1996, 998, 499, 1498, 749, 2248, 1124, 562, 281, 844, 422, 211, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 665,
      'M' = [665, 1996, 998, 499, 1498, 749, 2248, 1124, 562, 281, 844, 422, 211, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 335],
     [repeat(1000, 335),
      665 is 1000 - 335,
      collatz(665, [665, 1996, 998, 499, 1498, 749, 2248, 1124, 562, 281, 844, 422, 211, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 335),
     rule(3),
     ['N' = 1000, 'I' = 335, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 335)]).
step(between(0, 999, 335), builtin, [], []).
step(665 is 1000 - 335, builtin, [], []).
step(collatzTrajectory(664, [664, 332, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 664,
      'M' = [664, 332, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 336],
     [repeat(1000, 336),
      664 is 1000 - 336,
      collatz(664, [664, 332, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 336),
     rule(3),
     ['N' = 1000, 'I' = 336, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 336)]).
step(between(0, 999, 336), builtin, [], []).
step(664 is 1000 - 336, builtin, [], []).
step(collatzTrajectory(663, [663, 1990, 995, 2986, 1493, 4480, 2240, 1120, 560, 280, 140, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 663,
      'M' = [663, 1990, 995, 2986, 1493, 4480, 2240, 1120, 560, 280, 140, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 337],
     [repeat(1000, 337),
      663 is 1000 - 337,
      collatz(663, [663, 1990, 995, 2986, 1493, 4480, 2240, 1120, 560, 280, 140, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 337),
     rule(3),
     ['N' = 1000, 'I' = 337, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 337)]).
step(between(0, 999, 337), builtin, [], []).
step(663 is 1000 - 337, builtin, [], []).
step(collatz(663, [663, 1990, 995, 2986, 1493, 4480, 2240, 1120, 560, 280, 140, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 663,
      'J' = [1990, 995, 2986, 1493, 4480, 2240, 1120, 560, 280, 140, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 1989,
      'N1' = 1990],
     [663 > 1,
      1 is 663 mod 2,
      1989 is 3 * 663,
      1990 is 1989 + 1,
      collatz(1990, [1990, 995, 2986, 1493, 4480, 2240, 1120, 560, 280, 140, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(663 > 1, builtin, [], []).
step(1 is 663 mod 2, builtin, [], []).
step(1989 is 3 * 663, builtin, [], []).
step(1990 is 1989 + 1, builtin, [], []).
step(collatz(1990, [1990, 995, 2986, 1493, 4480, 2240, 1120, 560, 280, 140, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1990,
      'J' = [995, 2986, 1493, 4480, 2240, 1120, 560, 280, 140, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 995],
     [1990 > 1,
      0 is 1990 mod 2,
      995 is 1990 // 2,
      collatz(995, [995, 2986, 1493, 4480, 2240, 1120, 560, 280, 140, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1990 > 1, builtin, [], []).
step(0 is 1990 mod 2, builtin, [], []).
step(995 is 1990 // 2, builtin, [], []).
step(collatzTrajectory(662, [662, 331, 994, 497, 1492, 746, 373, 1120, 560, 280, 140, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 662,
      'M' = [662, 331, 994, 497, 1492, 746, 373, 1120, 560, 280, 140, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 338],
     [repeat(1000, 338),
      662 is 1000 - 338,
      collatz(662, [662, 331, 994, 497, 1492, 746, 373, 1120, 560, 280, 140, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 338),
     rule(3),
     ['N' = 1000, 'I' = 338, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 338)]).
step(between(0, 999, 338), builtin, [], []).
step(662 is 1000 - 338, builtin, [], []).
step(collatzTrajectory(661, [661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 661,
      'M' = [661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 339],
     [repeat(1000, 339),
      661 is 1000 - 339,
      collatz(661, [661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 339),
     rule(3),
     ['N' = 1000, 'I' = 339, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 339)]).
step(between(0, 999, 339), builtin, [], []).
step(661 is 1000 - 339, builtin, [], []).
step(collatzTrajectory(660, [660, 330, 165, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 660,
      'M' = [660, 330, 165, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 340],
     [repeat(1000, 340),
      660 is 1000 - 340,
      collatz(660, [660, 330, 165, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 340),
     rule(3),
     ['N' = 1000, 'I' = 340, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 340)]).
step(between(0, 999, 340), builtin, [], []).
step(660 is 1000 - 340, builtin, [], []).
step(collatz(660, [660, 330, 165, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 660,
      'J' = [330, 165, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 330],
     [660 > 1,
      0 is 660 mod 2,
      330 is 660 // 2,
      collatz(330, [330, 165, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(660 > 1, builtin, [], []).
step(0 is 660 mod 2, builtin, [], []).
step(330 is 660 // 2, builtin, [], []).
step(collatz(330, [330, 165, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 330,
      'J' = [165, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 165],
     [330 > 1,
      0 is 330 mod 2,
      165 is 330 // 2,
      collatz(165, [165, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(330 > 1, builtin, [], []).
step(0 is 330 mod 2, builtin, [], []).
step(165 is 330 // 2, builtin, [], []).
step(collatz(165, [165, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 165,
      'J' = [496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 495,
      'N1' = 496],
     [165 > 1,
      1 is 165 mod 2,
      495 is 3 * 165,
      496 is 495 + 1,
      collatz(496, [496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(165 > 1, builtin, [], []).
step(1 is 165 mod 2, builtin, [], []).
step(495 is 3 * 165, builtin, [], []).
step(496 is 495 + 1, builtin, [], []).
step(collatzTrajectory(659, [659, 1978, 989, 2968, 1484, 742, 371, 1114, 557, 1672, 836, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 659,
      'M' = [659, 1978, 989, 2968, 1484, 742, 371, 1114, 557, 1672, 836, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 341],
     [repeat(1000, 341),
      659 is 1000 - 341,
      collatz(659, [659, 1978, 989, 2968, 1484, 742, 371, 1114, 557, 1672, 836, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 341),
     rule(3),
     ['N' = 1000, 'I' = 341, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 341)]).
step(between(0, 999, 341), builtin, [], []).
step(659 is 1000 - 341, builtin, [], []).
step(collatzTrajectory(658, [658, 329, 988, 494, 247, 742, 371, 1114, 557, 1672, 836, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 658,
      'M' = [658, 329, 988, 494, 247, 742, 371, 1114, 557, 1672, 836, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 342],
     [repeat(1000, 342),
      658 is 1000 - 342,
      collatz(658, [658, 329, 988, 494, 247, 742, 371, 1114, 557, 1672, 836, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 342),
     rule(3),
     ['N' = 1000, 'I' = 342, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 342)]).
step(between(0, 999, 342), builtin, [], []).
step(658 is 1000 - 342, builtin, [], []).
step(collatzTrajectory(657, [657, 1972, 986, 493, 1480, 740, 370, 185, 556, 278, 139, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 657,
      'M' = [657, 1972, 986, 493, 1480, 740, 370, 185, 556, 278, 139, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 343],
     [repeat(1000, 343),
      657 is 1000 - 343,
      collatz(657, [657, 1972, 986, 493, 1480, 740, 370, 185, 556, 278, 139, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 343),
     rule(3),
     ['N' = 1000, 'I' = 343, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 343)]).
step(between(0, 999, 343), builtin, [], []).
step(657 is 1000 - 343, builtin, [], []).
step(collatz(657, [657, 1972, 986, 493, 1480, 740, 370, 185, 556, 278, 139, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 657,
      'J' = [1972, 986, 493, 1480, 740, 370, 185, 556, 278, 139, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 1971,
      'N1' = 1972],
     [657 > 1,
      1 is 657 mod 2,
      1971 is 3 * 657,
      1972 is 1971 + 1,
      collatz(1972, [1972, 986, 493, 1480, 740, 370, 185, 556, 278, 139, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(657 > 1, builtin, [], []).
step(1 is 657 mod 2, builtin, [], []).
step(1971 is 3 * 657, builtin, [], []).
step(1972 is 1971 + 1, builtin, [], []).
step(collatz(1972, [1972, 986, 493, 1480, 740, 370, 185, 556, 278, 139, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1972,
      'J' = [986, 493, 1480, 740, 370, 185, 556, 278, 139, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 986],
     [1972 > 1,
      0 is 1972 mod 2,
      986 is 1972 // 2,
      collatz(986, [986, 493, 1480, 740, 370, 185, 556, 278, 139, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1972 > 1, builtin, [], []).
step(0 is 1972 mod 2, builtin, [], []).
step(986 is 1972 // 2, builtin, [], []).
step(collatzTrajectory(656, [656, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 656,
      'M' = [656, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 344],
     [repeat(1000, 344),
      656 is 1000 - 344,
      collatz(656, [656, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 344),
     rule(3),
     ['N' = 1000, 'I' = 344, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 344)]).
step(between(0, 999, 344), builtin, [], []).
step(656 is 1000 - 344, builtin, [], []).
step(collatzTrajectory(655, [655, 1966, 983, 2950, 1475, 4426, 2213, 6640, 3320, 1660, 830, 415, 1246, 623, 1870, 935, 2806, 1403, 4210, 2105, 6316, 3158, 1579, 4738, 2369, 7108, 3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 655,
      'M' = [655, 1966, 983, 2950, 1475, 4426, 2213, 6640, 3320, 1660, 830, 415, 1246, 623, 1870, 935, 2806, 1403, 4210, 2105, 6316, 3158, 1579, 4738, 2369, 7108, 3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 345],
     [repeat(1000, 345),
      655 is 1000 - 345,
      collatz(655, [655, 1966, 983, 2950, 1475, 4426, 2213, 6640, 3320, 1660, 830, 415, 1246, 623, 1870, 935, 2806, 1403, 4210, 2105, 6316, 3158, 1579, 4738, 2369, 7108, 3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 345),
     rule(3),
     ['N' = 1000, 'I' = 345, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 345)]).
step(between(0, 999, 345), builtin, [], []).
step(655 is 1000 - 345, builtin, [], []).
step(collatzTrajectory(654, [654, 327, 982, 491, 1474, 737, 2212, 1106, 553, 1660, 830, 415, 1246, 623, 1870, 935, 2806, 1403, 4210, 2105, 6316, 3158, 1579, 4738, 2369, 7108, 3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 654,
      'M' = [654, 327, 982, 491, 1474, 737, 2212, 1106, 553, 1660, 830, 415, 1246, 623, 1870, 935, 2806, 1403, 4210, 2105, 6316, 3158, 1579, 4738, 2369, 7108, 3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 346],
     [repeat(1000, 346),
      654 is 1000 - 346,
      collatz(654, [654, 327, 982, 491, 1474, 737, 2212, 1106, 553, 1660, 830, 415, 1246, 623, 1870, 935, 2806, 1403, 4210, 2105, 6316, 3158, 1579, 4738, 2369, 7108, 3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 346),
     rule(3),
     ['N' = 1000, 'I' = 346, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 346)]).
step(between(0, 999, 346), builtin, [], []).
step(654 is 1000 - 346, builtin, [], []).
step(collatz(654, [654, 327, 982, 491, 1474, 737, 2212, 1106, 553, 1660, 830, 415, 1246, 623, 1870, 935, 2806, 1403, 4210, 2105, 6316, 3158, 1579, 4738, 2369, 7108, 3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 654,
      'J' = [327, 982, 491, 1474, 737, 2212, 1106, 553, 1660, 830, 415, 1246, 623, 1870, 935, 2806, 1403, 4210, 2105, 6316, 3158, 1579, 4738, 2369, 7108, 3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 327],
     [654 > 1,
      0 is 654 mod 2,
      327 is 654 // 2,
      collatz(327, [327, 982, 491, 1474, 737, 2212, 1106, 553, 1660, 830, 415, 1246, 623, 1870, 935, 2806, 1403, 4210, 2105, 6316, 3158, 1579, 4738, 2369, 7108, 3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(654 > 1, builtin, [], []).
step(0 is 654 mod 2, builtin, [], []).
step(327 is 654 // 2, builtin, [], []).
step(collatz(327, [327, 982, 491, 1474, 737, 2212, 1106, 553, 1660, 830, 415, 1246, 623, 1870, 935, 2806, 1403, 4210, 2105, 6316, 3158, 1579, 4738, 2369, 7108, 3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 327,
      'J' = [982, 491, 1474, 737, 2212, 1106, 553, 1660, 830, 415, 1246, 623, 1870, 935, 2806, 1403, 4210, 2105, 6316, 3158, 1579, 4738, 2369, 7108, 3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 981,
      'N1' = 982],
     [327 > 1,
      1 is 327 mod 2,
      981 is 3 * 327,
      982 is 981 + 1,
      collatz(982, [982, 491, 1474, 737, 2212, 1106, 553, 1660, 830, 415, 1246, 623, 1870, 935, 2806, 1403, 4210, 2105, 6316, 3158, 1579, 4738, 2369, 7108, 3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(327 > 1, builtin, [], []).
step(1 is 327 mod 2, builtin, [], []).
step(981 is 3 * 327, builtin, [], []).
step(982 is 981 + 1, builtin, [], []).
step(collatzTrajectory(653, [653, 1960, 980, 490, 245, 736, 368, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 653,
      'M' = [653, 1960, 980, 490, 245, 736, 368, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 347],
     [repeat(1000, 347),
      653 is 1000 - 347,
      collatz(653, [653, 1960, 980, 490, 245, 736, 368, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 347),
     rule(3),
     ['N' = 1000, 'I' = 347, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 347)]).
step(between(0, 999, 347), builtin, [], []).
step(653 is 1000 - 347, builtin, [], []).
step(collatzTrajectory(652, [652, 326, 163, 490, 245, 736, 368, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 652,
      'M' = [652, 326, 163, 490, 245, 736, 368, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 348],
     [repeat(1000, 348),
      652 is 1000 - 348,
      collatz(652, [652, 326, 163, 490, 245, 736, 368, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 348),
     rule(3),
     ['N' = 1000, 'I' = 348, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 348)]).
step(between(0, 999, 348), builtin, [], []).
step(652 is 1000 - 348, builtin, [], []).
step(collatzTrajectory(651, [651, 1954, 977, 2932, 1466, 733, 2200, 1100, 550, 275, 826, 413, 1240, 620, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 651,
      'M' = [651, 1954, 977, 2932, 1466, 733, 2200, 1100, 550, 275, 826, 413, 1240, 620, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 349],
     [repeat(1000, 349),
      651 is 1000 - 349,
      collatz(651, [651, 1954, 977, 2932, 1466, 733, 2200, 1100, 550, 275, 826, 413, 1240, 620, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 349),
     rule(3),
     ['N' = 1000, 'I' = 349, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 349)]).
step(between(0, 999, 349), builtin, [], []).
step(651 is 1000 - 349, builtin, [], []).
step(collatz(651, [651, 1954, 977, 2932, 1466, 733, 2200, 1100, 550, 275, 826, 413, 1240, 620, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 651,
      'J' = [1954, 977, 2932, 1466, 733, 2200, 1100, 550, 275, 826, 413, 1240, 620, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 1953,
      'N1' = 1954],
     [651 > 1,
      1 is 651 mod 2,
      1953 is 3 * 651,
      1954 is 1953 + 1,
      collatz(1954, [1954, 977, 2932, 1466, 733, 2200, 1100, 550, 275, 826, 413, 1240, 620, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(651 > 1, builtin, [], []).
step(1 is 651 mod 2, builtin, [], []).
step(1953 is 3 * 651, builtin, [], []).
step(1954 is 1953 + 1, builtin, [], []).
step(collatz(1954, [1954, 977, 2932, 1466, 733, 2200, 1100, 550, 275, 826, 413, 1240, 620, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1954,
      'J' = [977, 2932, 1466, 733, 2200, 1100, 550, 275, 826, 413, 1240, 620, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 977],
     [1954 > 1,
      0 is 1954 mod 2,
      977 is 1954 // 2,
      collatz(977, [977, 2932, 1466, 733, 2200, 1100, 550, 275, 826, 413, 1240, 620, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1954 > 1, builtin, [], []).
step(0 is 1954 mod 2, builtin, [], []).
step(977 is 1954 // 2, builtin, [], []).
step(collatzTrajectory(650, [650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 650,
      'M' = [650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 350],
     [repeat(1000, 350),
      650 is 1000 - 350,
      collatz(650, [650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 350),
     rule(3),
     ['N' = 1000, 'I' = 350, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 350)]).
step(between(0, 999, 350), builtin, [], []).
step(650 is 1000 - 350, builtin, [], []).
step(collatzTrajectory(649, [649, 1948, 974, 487, 1462, 731, 2194, 1097, 3292, 1646, 823, 2470, 1235, 3706, 1853, 5560, 2780, 1390, 695, 2086, 1043, 3130, 1565, 4696, 2348, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 649,
      'M' = [649, 1948, 974, 487, 1462, 731, 2194, 1097, 3292, 1646, 823, 2470, 1235, 3706, 1853, 5560, 2780, 1390, 695, 2086, 1043, 3130, 1565, 4696, 2348, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 351],
     [repeat(1000, 351),
      649 is 1000 - 351,
      collatz(649, [649, 1948, 974, 487, 1462, 731, 2194, 1097, 3292, 1646, 823, 2470, 1235, 3706, 1853, 5560, 2780, 1390, 695, 2086, 1043, 3130, 1565, 4696, 2348, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 351),
     rule(3),
     ['N' = 1000, 'I' = 351, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 351)]).
step(between(0, 999, 351), builtin, [], []).
step(649 is 1000 - 351, builtin, [], []).
step(collatzTrajectory(648, [648, 324, 162, 81, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 648,
      'M' = [648, 324, 162, 81, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 352],
     [repeat(1000, 352),
      648 is 1000 - 352,
      collatz(648, [648, 324, 162, 81, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 352),
     rule(3),
     ['N' = 1000, 'I' = 352, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 352)]).
step(between(0, 999, 352), builtin, [], []).
step(648 is 1000 - 352, builtin, [], []).
step(collatz(648, [648, 324, 162, 81, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 648,
      'J' = [324, 162, 81, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 324],
     [648 > 1,
      0 is 648 mod 2,
      324 is 648 // 2,
      collatz(324, [324, 162, 81, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(648 > 1, builtin, [], []).
step(0 is 648 mod 2, builtin, [], []).
step(324 is 648 // 2, builtin, [], []).
step(collatz(324, [324, 162, 81, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 324,
      'J' = [162, 81, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 162],
     [324 > 1,
      0 is 324 mod 2,
      162 is 324 // 2,
      collatz(162, [162, 81, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(324 > 1, builtin, [], []).
step(0 is 324 mod 2, builtin, [], []).
step(162 is 324 // 2, builtin, [], []).
step(collatz(162, [162, 81, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 162,
      'J' = [81, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 81],
     [162 > 1,
      0 is 162 mod 2,
      81 is 162 // 2,
      collatz(81, [81, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(162 > 1, builtin, [], []).
step(0 is 162 mod 2, builtin, [], []).
step(81 is 162 // 2, builtin, [], []).
step(collatz(81, [81, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 81,
      'J' = [244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 243,
      'N1' = 244],
     [81 > 1,
      1 is 81 mod 2,
      243 is 3 * 81,
      244 is 243 + 1,
      collatz(244, [244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(81 > 1, builtin, [], []).
step(1 is 81 mod 2, builtin, [], []).
step(243 is 3 * 81, builtin, [], []).
step(244 is 243 + 1, builtin, [], []).
step(collatzTrajectory(647, [647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 647,
      'M' = [647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 353],
     [repeat(1000, 353),
      647 is 1000 - 353,
      collatz(647, [647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 353),
     rule(3),
     ['N' = 1000, 'I' = 353, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 353)]).
step(between(0, 999, 353), builtin, [], []).
step(647 is 1000 - 353, builtin, [], []).
step(collatzTrajectory(646, [646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 646,
      'M' = [646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 354],
     [repeat(1000, 354),
      646 is 1000 - 354,
      collatz(646, [646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 354),
     rule(3),
     ['N' = 1000, 'I' = 354, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 354)]).
step(between(0, 999, 354), builtin, [], []).
step(646 is 1000 - 354, builtin, [], []).
step(collatzTrajectory(645, [645, 1936, 968, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 645,
      'M' = [645, 1936, 968, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 355],
     [repeat(1000, 355),
      645 is 1000 - 355,
      collatz(645, [645, 1936, 968, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 355),
     rule(3),
     ['N' = 1000, 'I' = 355, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 355)]).
step(between(0, 999, 355), builtin, [], []).
step(645 is 1000 - 355, builtin, [], []).
step(collatz(645, [645, 1936, 968, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 645,
      'J' = [1936, 968, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 1935,
      'N1' = 1936],
     [645 > 1,
      1 is 645 mod 2,
      1935 is 3 * 645,
      1936 is 1935 + 1,
      collatz(1936, [1936, 968, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(645 > 1, builtin, [], []).
step(1 is 645 mod 2, builtin, [], []).
step(1935 is 3 * 645, builtin, [], []).
step(1936 is 1935 + 1, builtin, [], []).
step(collatz(1936, [1936, 968, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1936,
      'J' = [968, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 968],
     [1936 > 1,
      0 is 1936 mod 2,
      968 is 1936 // 2,
      collatz(968, [968, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1936 > 1, builtin, [], []).
step(0 is 1936 mod 2, builtin, [], []).
step(968 is 1936 // 2, builtin, [], []).
step(collatzTrajectory(644, [644, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 644,
      'M' = [644, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 356],
     [repeat(1000, 356),
      644 is 1000 - 356,
      collatz(644, [644, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 356),
     rule(3),
     ['N' = 1000, 'I' = 356, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 356)]).
step(between(0, 999, 356), builtin, [], []).
step(644 is 1000 - 356, builtin, [], []).
step(collatzTrajectory(643, [643, 1930, 965, 2896, 1448, 724, 362, 181, 544, 272, 136, 68, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 643,
      'M' = [643, 1930, 965, 2896, 1448, 724, 362, 181, 544, 272, 136, 68, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 357],
     [repeat(1000, 357),
      643 is 1000 - 357,
      collatz(643, [643, 1930, 965, 2896, 1448, 724, 362, 181, 544, 272, 136, 68, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 357),
     rule(3),
     ['N' = 1000, 'I' = 357, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 357)]).
step(between(0, 999, 357), builtin, [], []).
step(643 is 1000 - 357, builtin, [], []).
step(collatzTrajectory(642, [642, 321, 964, 482, 241, 724, 362, 181, 544, 272, 136, 68, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 642,
      'M' = [642, 321, 964, 482, 241, 724, 362, 181, 544, 272, 136, 68, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 358],
     [repeat(1000, 358),
      642 is 1000 - 358,
      collatz(642, [642, 321, 964, 482, 241, 724, 362, 181, 544, 272, 136, 68, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 358),
     rule(3),
     ['N' = 1000, 'I' = 358, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 358)]).
step(between(0, 999, 358), builtin, [], []).
step(642 is 1000 - 358, builtin, [], []).
step(collatz(642, [642, 321, 964, 482, 241, 724, 362, 181, 544, 272, 136, 68, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 642,
      'J' = [321, 964, 482, 241, 724, 362, 181, 544, 272, 136, 68, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 321],
     [642 > 1,
      0 is 642 mod 2,
      321 is 642 // 2,
      collatz(321, [321, 964, 482, 241, 724, 362, 181, 544, 272, 136, 68, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(642 > 1, builtin, [], []).
step(0 is 642 mod 2, builtin, [], []).
step(321 is 642 // 2, builtin, [], []).
step(collatz(321, [321, 964, 482, 241, 724, 362, 181, 544, 272, 136, 68, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 321,
      'J' = [964, 482, 241, 724, 362, 181, 544, 272, 136, 68, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 963,
      'N1' = 964],
     [321 > 1,
      1 is 321 mod 2,
      963 is 3 * 321,
      964 is 963 + 1,
      collatz(964, [964, 482, 241, 724, 362, 181, 544, 272, 136, 68, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(321 > 1, builtin, [], []).
step(1 is 321 mod 2, builtin, [], []).
step(963 is 3 * 321, builtin, [], []).
step(964 is 963 + 1, builtin, [], []).
step(collatzTrajectory(641, [641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 641,
      'M' = [641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 359],
     [repeat(1000, 359),
      641 is 1000 - 359,
      collatz(641, [641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 359),
     rule(3),
     ['N' = 1000, 'I' = 359, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 359)]).
step(between(0, 999, 359), builtin, [], []).
step(641 is 1000 - 359, builtin, [], []).
step(collatzTrajectory(640, [640, 320, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 640, 'M' = [640, 320, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1], 'N0' = 360],
     [repeat(1000, 360),
      640 is 1000 - 360,
      collatz(640, [640, 320, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 360),
     rule(3),
     ['N' = 1000, 'I' = 360, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 360)]).
step(between(0, 999, 360), builtin, [], []).
step(640 is 1000 - 360, builtin, [], []).
step(collatzTrajectory(639, [639, 1918, 959, 2878, 1439, 4318, 2159, 6478, 3239, 9718, 4859, 14578, 7289, 21868, 10934, 5467, 16402, 8201, 24604, 12302, 6151, 18454, 9227, 27682, 13841, 41524, 20762, 10381, 31144, 15572, 7786, 3893, 11680, 5840, 2920, 1460, 730, 365, 1096, 548, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 639,
      'M' = [639, 1918, 959, 2878, 1439, 4318, 2159, 6478, 3239, 9718, 4859, 14578, 7289, 21868, 10934, 5467, 16402, 8201, 24604, 12302, 6151, 18454, 9227, 27682, 13841, 41524, 20762, 10381, 31144, 15572, 7786, 3893, 11680, 5840, 2920, 1460, 730, 365, 1096, 548, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 361],
     [repeat(1000, 361),
      639 is 1000 - 361,
      collatz(639, [639, 1918, 959, 2878, 1439, 4318, 2159, 6478, 3239, 9718, 4859, 14578, 7289, 21868, 10934, 5467, 16402, 8201, 24604, 12302, 6151, 18454, 9227, 27682, 13841, 41524, 20762, 10381, 31144, 15572, 7786, 3893, 11680, 5840, 2920, 1460, 730, 365, 1096, 548, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 361),
     rule(3),
     ['N' = 1000, 'I' = 361, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 361)]).
step(between(0, 999, 361), builtin, [], []).
step(639 is 1000 - 361, builtin, [], []).
step(collatz(639, [639, 1918, 959, 2878, 1439, 4318, 2159, 6478, 3239, 9718, 4859, 14578, 7289, 21868, 10934, 5467, 16402, 8201, 24604, 12302, 6151, 18454, 9227, 27682, 13841, 41524, 20762, 10381, 31144, 15572, 7786, 3893, 11680, 5840, 2920, 1460, 730, 365, 1096, 548, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 639,
      'J' = [1918, 959, 2878, 1439, 4318, 2159, 6478, 3239, 9718, 4859, 14578, 7289, 21868, 10934, 5467, 16402, 8201, 24604, 12302, 6151, 18454, 9227, 27682, 13841, 41524, 20762, 10381, 31144, 15572, 7786, 3893, 11680, 5840, 2920, 1460, 730, 365, 1096, 548, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 1917,
      'N1' = 1918],
     [639 > 1,
      1 is 639 mod 2,
      1917 is 3 * 639,
      1918 is 1917 + 1,
      collatz(1918, [1918, 959, 2878, 1439, 4318, 2159, 6478, 3239, 9718, 4859, 14578, 7289, 21868, 10934, 5467, 16402, 8201, 24604, 12302, 6151, 18454, 9227, 27682, 13841, 41524, 20762, 10381, 31144, 15572, 7786, 3893, 11680, 5840, 2920, 1460, 730, 365, 1096, 548, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(639 > 1, builtin, [], []).
step(1 is 639 mod 2, builtin, [], []).
step(1917 is 3 * 639, builtin, [], []).
step(1918 is 1917 + 1, builtin, [], []).
step(collatz(1918, [1918, 959, 2878, 1439, 4318, 2159, 6478, 3239, 9718, 4859, 14578, 7289, 21868, 10934, 5467, 16402, 8201, 24604, 12302, 6151, 18454, 9227, 27682, 13841, 41524, 20762, 10381, 31144, 15572, 7786, 3893, 11680, 5840, 2920, 1460, 730, 365, 1096, 548, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1918,
      'J' = [959, 2878, 1439, 4318, 2159, 6478, 3239, 9718, 4859, 14578, 7289, 21868, 10934, 5467, 16402, 8201, 24604, 12302, 6151, 18454, 9227, 27682, 13841, 41524, 20762, 10381, 31144, 15572, 7786, 3893, 11680, 5840, 2920, 1460, 730, 365, 1096, 548, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 959],
     [1918 > 1,
      0 is 1918 mod 2,
      959 is 1918 // 2,
      collatz(959, [959, 2878, 1439, 4318, 2159, 6478, 3239, 9718, 4859, 14578, 7289, 21868, 10934, 5467, 16402, 8201, 24604, 12302, 6151, 18454, 9227, 27682, 13841, 41524, 20762, 10381, 31144, 15572, 7786, 3893, 11680, 5840, 2920, 1460, 730, 365, 1096, 548, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1918 > 1, builtin, [], []).
step(0 is 1918 mod 2, builtin, [], []).
step(959 is 1918 // 2, builtin, [], []).
step(collatzTrajectory(638, [638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 638,
      'M' = [638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 362],
     [repeat(1000, 362),
      638 is 1000 - 362,
      collatz(638, [638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 362),
     rule(3),
     ['N' = 1000, 'I' = 362, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 362)]).
step(between(0, 999, 362), builtin, [], []).
step(638 is 1000 - 362, builtin, [], []).
step(collatzTrajectory(637, [637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 637,
      'M' = [637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 363],
     [repeat(1000, 363),
      637 is 1000 - 363,
      collatz(637, [637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 363),
     rule(3),
     ['N' = 1000, 'I' = 363, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 363)]).
step(between(0, 999, 363), builtin, [], []).
step(637 is 1000 - 363, builtin, [], []).
step(collatzTrajectory(636, [636, 318, 159, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 636,
      'M' = [636, 318, 159, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 364],
     [repeat(1000, 364),
      636 is 1000 - 364,
      collatz(636, [636, 318, 159, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 364),
     rule(3),
     ['N' = 1000, 'I' = 364, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 364)]).
step(between(0, 999, 364), builtin, [], []).
step(636 is 1000 - 364, builtin, [], []).
step(collatz(636, [636, 318, 159, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 636,
      'J' = [318, 159, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 318],
     [636 > 1,
      0 is 636 mod 2,
      318 is 636 // 2,
      collatz(318, [318, 159, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(636 > 1, builtin, [], []).
step(0 is 636 mod 2, builtin, [], []).
step(318 is 636 // 2, builtin, [], []).
step(collatz(318, [318, 159, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 318,
      'J' = [159, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 159],
     [318 > 1,
      0 is 318 mod 2,
      159 is 318 // 2,
      collatz(159, [159, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(318 > 1, builtin, [], []).
step(0 is 318 mod 2, builtin, [], []).
step(159 is 318 // 2, builtin, [], []).
step(collatz(159, [159, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 159,
      'J' = [478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 477,
      'N1' = 478],
     [159 > 1,
      1 is 159 mod 2,
      477 is 3 * 159,
      478 is 477 + 1,
      collatz(478, [478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(159 > 1, builtin, [], []).
step(1 is 159 mod 2, builtin, [], []).
step(477 is 3 * 159, builtin, [], []).
step(478 is 477 + 1, builtin, [], []).
step(collatzTrajectory(635, [635, 1906, 953, 2860, 1430, 715, 2146, 1073, 3220, 1610, 805, 2416, 1208, 604, 302, 151, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 635,
      'M' = [635, 1906, 953, 2860, 1430, 715, 2146, 1073, 3220, 1610, 805, 2416, 1208, 604, 302, 151, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1],
      'N0' = 365],
     [repeat(1000, 365),
      635 is 1000 - 365,
      collatz(635, [635, 1906, 953, 2860, 1430, 715, 2146, 1073, 3220, 1610, 805, 2416, 1208, 604, 302, 151, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1])]).
step(repeat(1000, 365),
     rule(3),
     ['N' = 1000, 'I' = 365, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 365)]).
step(between(0, 999, 365), builtin, [], []).
step(635 is 1000 - 365, builtin, [], []).
step(collatzTrajectory(634, [634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 634,
      'M' = [634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 366],
     [repeat(1000, 366),
      634 is 1000 - 366,
      collatz(634, [634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 366),
     rule(3),
     ['N' = 1000, 'I' = 366, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 366)]).
step(between(0, 999, 366), builtin, [], []).
step(634 is 1000 - 366, builtin, [], []).
step(collatzTrajectory(633, [633, 1900, 950, 475, 1426, 713, 2140, 1070, 535, 1606, 803, 2410, 1205, 3616, 1808, 904, 452, 226, 113, 340, 170, 85, 256, 128, 64, 32, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 633,
      'M' = [633, 1900, 950, 475, 1426, 713, 2140, 1070, 535, 1606, 803, 2410, 1205, 3616, 1808, 904, 452, 226, 113, 340, 170, 85, 256, 128, 64, 32, 16, 8, 4, 2, 1],
      'N0' = 367],
     [repeat(1000, 367),
      633 is 1000 - 367,
      collatz(633, [633, 1900, 950, 475, 1426, 713, 2140, 1070, 535, 1606, 803, 2410, 1205, 3616, 1808, 904, 452, 226, 113, 340, 170, 85, 256, 128, 64, 32, 16, 8, 4, 2, 1])]).
step(repeat(1000, 367),
     rule(3),
     ['N' = 1000, 'I' = 367, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 367)]).
step(between(0, 999, 367), builtin, [], []).
step(633 is 1000 - 367, builtin, [], []).
step(collatz(633, [633, 1900, 950, 475, 1426, 713, 2140, 1070, 535, 1606, 803, 2410, 1205, 3616, 1808, 904, 452, 226, 113, 340, 170, 85, 256, 128, 64, 32, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 633,
      'J' = [1900, 950, 475, 1426, 713, 2140, 1070, 535, 1606, 803, 2410, 1205, 3616, 1808, 904, 452, 226, 113, 340, 170, 85, 256, 128, 64, 32, 16, 8, 4, 2, 1],
      'T' = 1899,
      'N1' = 1900],
     [633 > 1,
      1 is 633 mod 2,
      1899 is 3 * 633,
      1900 is 1899 + 1,
      collatz(1900, [1900, 950, 475, 1426, 713, 2140, 1070, 535, 1606, 803, 2410, 1205, 3616, 1808, 904, 452, 226, 113, 340, 170, 85, 256, 128, 64, 32, 16, 8, 4, 2, 1])]).
step(633 > 1, builtin, [], []).
step(1 is 633 mod 2, builtin, [], []).
step(1899 is 3 * 633, builtin, [], []).
step(1900 is 1899 + 1, builtin, [], []).
step(collatz(1900, [1900, 950, 475, 1426, 713, 2140, 1070, 535, 1606, 803, 2410, 1205, 3616, 1808, 904, 452, 226, 113, 340, 170, 85, 256, 128, 64, 32, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1900,
      'J' = [950, 475, 1426, 713, 2140, 1070, 535, 1606, 803, 2410, 1205, 3616, 1808, 904, 452, 226, 113, 340, 170, 85, 256, 128, 64, 32, 16, 8, 4, 2, 1],
      'N1' = 950],
     [1900 > 1,
      0 is 1900 mod 2,
      950 is 1900 // 2,
      collatz(950, [950, 475, 1426, 713, 2140, 1070, 535, 1606, 803, 2410, 1205, 3616, 1808, 904, 452, 226, 113, 340, 170, 85, 256, 128, 64, 32, 16, 8, 4, 2, 1])]).
step(1900 > 1, builtin, [], []).
step(0 is 1900 mod 2, builtin, [], []).
step(950 is 1900 // 2, builtin, [], []).
step(collatzTrajectory(632, [632, 316, 158, 79, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 632,
      'M' = [632, 316, 158, 79, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 368],
     [repeat(1000, 368),
      632 is 1000 - 368,
      collatz(632, [632, 316, 158, 79, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 368),
     rule(3),
     ['N' = 1000, 'I' = 368, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 368)]).
step(between(0, 999, 368), builtin, [], []).
step(632 is 1000 - 368, builtin, [], []).
step(collatzTrajectory(631, [631, 1894, 947, 2842, 1421, 4264, 2132, 1066, 533, 1600, 800, 400, 200, 100, 50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 631,
      'M' = [631, 1894, 947, 2842, 1421, 4264, 2132, 1066, 533, 1600, 800, 400, 200, 100, 50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 369],
     [repeat(1000, 369),
      631 is 1000 - 369,
      collatz(631, [631, 1894, 947, 2842, 1421, 4264, 2132, 1066, 533, 1600, 800, 400, 200, 100, 50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 369),
     rule(3),
     ['N' = 1000, 'I' = 369, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 369)]).
step(between(0, 999, 369), builtin, [], []).
step(631 is 1000 - 369, builtin, [], []).
step(collatzTrajectory(630, [630, 315, 946, 473, 1420, 710, 355, 1066, 533, 1600, 800, 400, 200, 100, 50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 630,
      'M' = [630, 315, 946, 473, 1420, 710, 355, 1066, 533, 1600, 800, 400, 200, 100, 50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 370],
     [repeat(1000, 370),
      630 is 1000 - 370,
      collatz(630, [630, 315, 946, 473, 1420, 710, 355, 1066, 533, 1600, 800, 400, 200, 100, 50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 370),
     rule(3),
     ['N' = 1000, 'I' = 370, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 370)]).
step(between(0, 999, 370), builtin, [], []).
step(630 is 1000 - 370, builtin, [], []).
step(collatz(630, [630, 315, 946, 473, 1420, 710, 355, 1066, 533, 1600, 800, 400, 200, 100, 50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 630,
      'J' = [315, 946, 473, 1420, 710, 355, 1066, 533, 1600, 800, 400, 200, 100, 50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 315],
     [630 > 1,
      0 is 630 mod 2,
      315 is 630 // 2,
      collatz(315, [315, 946, 473, 1420, 710, 355, 1066, 533, 1600, 800, 400, 200, 100, 50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(630 > 1, builtin, [], []).
step(0 is 630 mod 2, builtin, [], []).
step(315 is 630 // 2, builtin, [], []).
step(collatz(315, [315, 946, 473, 1420, 710, 355, 1066, 533, 1600, 800, 400, 200, 100, 50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 315,
      'J' = [946, 473, 1420, 710, 355, 1066, 533, 1600, 800, 400, 200, 100, 50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 945,
      'N1' = 946],
     [315 > 1,
      1 is 315 mod 2,
      945 is 3 * 315,
      946 is 945 + 1,
      collatz(946, [946, 473, 1420, 710, 355, 1066, 533, 1600, 800, 400, 200, 100, 50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(315 > 1, builtin, [], []).
step(1 is 315 mod 2, builtin, [], []).
step(945 is 3 * 315, builtin, [], []).
step(946 is 945 + 1, builtin, [], []).
step(collatzTrajectory(629, [629, 1888, 944, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 629,
      'M' = [629, 1888, 944, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 371],
     [repeat(1000, 371),
      629 is 1000 - 371,
      collatz(629, [629, 1888, 944, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 371),
     rule(3),
     ['N' = 1000, 'I' = 371, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 371)]).
step(between(0, 999, 371), builtin, [], []).
step(629 is 1000 - 371, builtin, [], []).
step(collatzTrajectory(628, [628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 628,
      'M' = [628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 372],
     [repeat(1000, 372),
      628 is 1000 - 372,
      collatz(628, [628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 372),
     rule(3),
     ['N' = 1000, 'I' = 372, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 372)]).
step(between(0, 999, 372), builtin, [], []).
step(628 is 1000 - 372, builtin, [], []).
step(collatzTrajectory(627, [627, 1882, 941, 2824, 1412, 706, 353, 1060, 530, 265, 796, 398, 199, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 627,
      'M' = [627, 1882, 941, 2824, 1412, 706, 353, 1060, 530, 265, 796, 398, 199, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 373],
     [repeat(1000, 373),
      627 is 1000 - 373,
      collatz(627, [627, 1882, 941, 2824, 1412, 706, 353, 1060, 530, 265, 796, 398, 199, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 373),
     rule(3),
     ['N' = 1000, 'I' = 373, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 373)]).
step(between(0, 999, 373), builtin, [], []).
step(627 is 1000 - 373, builtin, [], []).
step(collatz(627, [627, 1882, 941, 2824, 1412, 706, 353, 1060, 530, 265, 796, 398, 199, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 627,
      'J' = [1882, 941, 2824, 1412, 706, 353, 1060, 530, 265, 796, 398, 199, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 1881,
      'N1' = 1882],
     [627 > 1,
      1 is 627 mod 2,
      1881 is 3 * 627,
      1882 is 1881 + 1,
      collatz(1882, [1882, 941, 2824, 1412, 706, 353, 1060, 530, 265, 796, 398, 199, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(627 > 1, builtin, [], []).
step(1 is 627 mod 2, builtin, [], []).
step(1881 is 3 * 627, builtin, [], []).
step(1882 is 1881 + 1, builtin, [], []).
step(collatz(1882, [1882, 941, 2824, 1412, 706, 353, 1060, 530, 265, 796, 398, 199, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1882,
      'J' = [941, 2824, 1412, 706, 353, 1060, 530, 265, 796, 398, 199, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 941],
     [1882 > 1,
      0 is 1882 mod 2,
      941 is 1882 // 2,
      collatz(941, [941, 2824, 1412, 706, 353, 1060, 530, 265, 796, 398, 199, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1882 > 1, builtin, [], []).
step(0 is 1882 mod 2, builtin, [], []).
step(941 is 1882 // 2, builtin, [], []).
step(collatzTrajectory(626, [626, 313, 940, 470, 235, 706, 353, 1060, 530, 265, 796, 398, 199, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 626,
      'M' = [626, 313, 940, 470, 235, 706, 353, 1060, 530, 265, 796, 398, 199, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 374],
     [repeat(1000, 374),
      626 is 1000 - 374,
      collatz(626, [626, 313, 940, 470, 235, 706, 353, 1060, 530, 265, 796, 398, 199, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 374),
     rule(3),
     ['N' = 1000, 'I' = 374, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 374)]).
step(between(0, 999, 374), builtin, [], []).
step(626 is 1000 - 374, builtin, [], []).
step(collatzTrajectory(625, [625, 1876, 938, 469, 1408, 704, 352, 176, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 625,
      'M' = [625, 1876, 938, 469, 1408, 704, 352, 176, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 375],
     [repeat(1000, 375),
      625 is 1000 - 375,
      collatz(625, [625, 1876, 938, 469, 1408, 704, 352, 176, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 375),
     rule(3),
     ['N' = 1000, 'I' = 375, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 375)]).
step(between(0, 999, 375), builtin, [], []).
step(625 is 1000 - 375, builtin, [], []).
step(collatzTrajectory(624, [624, 312, 156, 78, 39, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 624,
      'M' = [624, 312, 156, 78, 39, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 376],
     [repeat(1000, 376),
      624 is 1000 - 376,
      collatz(624, [624, 312, 156, 78, 39, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 376),
     rule(3),
     ['N' = 1000, 'I' = 376, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 376)]).
step(between(0, 999, 376), builtin, [], []).
step(624 is 1000 - 376, builtin, [], []).
step(collatz(624, [624, 312, 156, 78, 39, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 624,
      'J' = [312, 156, 78, 39, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 312],
     [624 > 1,
      0 is 624 mod 2,
      312 is 624 // 2,
      collatz(312, [312, 156, 78, 39, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(624 > 1, builtin, [], []).
step(0 is 624 mod 2, builtin, [], []).
step(312 is 624 // 2, builtin, [], []).
step(collatz(312, [312, 156, 78, 39, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 312,
      'J' = [156, 78, 39, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 156],
     [312 > 1,
      0 is 312 mod 2,
      156 is 312 // 2,
      collatz(156, [156, 78, 39, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(312 > 1, builtin, [], []).
step(0 is 312 mod 2, builtin, [], []).
step(156 is 312 // 2, builtin, [], []).
step(collatz(156, [156, 78, 39, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 156,
      'J' = [78, 39, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 78],
     [156 > 1,
      0 is 156 mod 2,
      78 is 156 // 2,
      collatz(78, [78, 39, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(156 > 1, builtin, [], []).
step(0 is 156 mod 2, builtin, [], []).
step(78 is 156 // 2, builtin, [], []).
step(collatz(78, [78, 39, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 78,
      'J' = [39, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 39],
     [78 > 1,
      0 is 78 mod 2,
      39 is 78 // 2,
      collatz(39, [39, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(78 > 1, builtin, [], []).
step(0 is 78 mod 2, builtin, [], []).
step(39 is 78 // 2, builtin, [], []).
step(collatz(39, [39, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 39,
      'J' = [118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 117,
      'N1' = 118],
     [39 > 1,
      1 is 39 mod 2,
      117 is 3 * 39,
      118 is 117 + 1,
      collatz(118, [118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(39 > 1, builtin, [], []).
step(1 is 39 mod 2, builtin, [], []).
step(117 is 3 * 39, builtin, [], []).
step(118 is 117 + 1, builtin, [], []).
step(collatzTrajectory(623, [623, 1870, 935, 2806, 1403, 4210, 2105, 6316, 3158, 1579, 4738, 2369, 7108, 3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 623,
      'M' = [623, 1870, 935, 2806, 1403, 4210, 2105, 6316, 3158, 1579, 4738, 2369, 7108, 3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 377],
     [repeat(1000, 377),
      623 is 1000 - 377,
      collatz(623, [623, 1870, 935, 2806, 1403, 4210, 2105, 6316, 3158, 1579, 4738, 2369, 7108, 3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 377),
     rule(3),
     ['N' = 1000, 'I' = 377, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 377)]).
step(between(0, 999, 377), builtin, [], []).
step(623 is 1000 - 377, builtin, [], []).
step(collatzTrajectory(622, [622, 311, 934, 467, 1402, 701, 2104, 1052, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 622,
      'M' = [622, 311, 934, 467, 1402, 701, 2104, 1052, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 378],
     [repeat(1000, 378),
      622 is 1000 - 378,
      collatz(622, [622, 311, 934, 467, 1402, 701, 2104, 1052, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 378),
     rule(3),
     ['N' = 1000, 'I' = 378, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 378)]).
step(between(0, 999, 378), builtin, [], []).
step(622 is 1000 - 378, builtin, [], []).
step(collatzTrajectory(621, [621, 1864, 932, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 621,
      'M' = [621, 1864, 932, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 379],
     [repeat(1000, 379),
      621 is 1000 - 379,
      collatz(621, [621, 1864, 932, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 379),
     rule(3),
     ['N' = 1000, 'I' = 379, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 379)]).
step(between(0, 999, 379), builtin, [], []).
step(621 is 1000 - 379, builtin, [], []).
step(collatz(621, [621, 1864, 932, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 621,
      'J' = [1864, 932, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 1863,
      'N1' = 1864],
     [621 > 1,
      1 is 621 mod 2,
      1863 is 3 * 621,
      1864 is 1863 + 1,
      collatz(1864, [1864, 932, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(621 > 1, builtin, [], []).
step(1 is 621 mod 2, builtin, [], []).
step(1863 is 3 * 621, builtin, [], []).
step(1864 is 1863 + 1, builtin, [], []).
step(collatz(1864, [1864, 932, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1864,
      'J' = [932, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 932],
     [1864 > 1,
      0 is 1864 mod 2,
      932 is 1864 // 2,
      collatz(932, [932, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1864 > 1, builtin, [], []).
step(0 is 1864 mod 2, builtin, [], []).
step(932 is 1864 // 2, builtin, [], []).
step(collatzTrajectory(620, [620, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 620,
      'M' = [620, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 380],
     [repeat(1000, 380),
      620 is 1000 - 380,
      collatz(620, [620, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 380),
     rule(3),
     ['N' = 1000, 'I' = 380, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 380)]).
step(between(0, 999, 380), builtin, [], []).
step(620 is 1000 - 380, builtin, [], []).
step(collatzTrajectory(619, [619, 1858, 929, 2788, 1394, 697, 2092, 1046, 523, 1570, 785, 2356, 1178, 589, 1768, 884, 442, 221, 664, 332, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 619,
      'M' = [619, 1858, 929, 2788, 1394, 697, 2092, 1046, 523, 1570, 785, 2356, 1178, 589, 1768, 884, 442, 221, 664, 332, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 381],
     [repeat(1000, 381),
      619 is 1000 - 381,
      collatz(619, [619, 1858, 929, 2788, 1394, 697, 2092, 1046, 523, 1570, 785, 2356, 1178, 589, 1768, 884, 442, 221, 664, 332, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 381),
     rule(3),
     ['N' = 1000, 'I' = 381, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 381)]).
step(between(0, 999, 381), builtin, [], []).
step(619 is 1000 - 381, builtin, [], []).
step(collatzTrajectory(618, [618, 309, 928, 464, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 618,
      'M' = [618, 309, 928, 464, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 382],
     [repeat(1000, 382),
      618 is 1000 - 382,
      collatz(618, [618, 309, 928, 464, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 382),
     rule(3),
     ['N' = 1000, 'I' = 382, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 382)]).
step(between(0, 999, 382), builtin, [], []).
step(618 is 1000 - 382, builtin, [], []).
step(collatz(618, [618, 309, 928, 464, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 618,
      'J' = [309, 928, 464, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 309],
     [618 > 1,
      0 is 618 mod 2,
      309 is 618 // 2,
      collatz(309, [309, 928, 464, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(618 > 1, builtin, [], []).
step(0 is 618 mod 2, builtin, [], []).
step(309 is 618 // 2, builtin, [], []).
step(collatz(309, [309, 928, 464, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 309,
      'J' = [928, 464, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 927,
      'N1' = 928],
     [309 > 1,
      1 is 309 mod 2,
      927 is 3 * 309,
      928 is 927 + 1,
      collatz(928, [928, 464, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(309 > 1, builtin, [], []).
step(1 is 309 mod 2, builtin, [], []).
step(927 is 3 * 309, builtin, [], []).
step(928 is 927 + 1, builtin, [], []).
step(collatzTrajectory(617, [617, 1852, 926, 463, 1390, 695, 2086, 1043, 3130, 1565, 4696, 2348, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 617,
      'M' = [617, 1852, 926, 463, 1390, 695, 2086, 1043, 3130, 1565, 4696, 2348, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 383],
     [repeat(1000, 383),
      617 is 1000 - 383,
      collatz(617, [617, 1852, 926, 463, 1390, 695, 2086, 1043, 3130, 1565, 4696, 2348, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 383),
     rule(3),
     ['N' = 1000, 'I' = 383, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 383)]).
step(between(0, 999, 383), builtin, [], []).
step(617 is 1000 - 383, builtin, [], []).
step(collatzTrajectory(616, [616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 616,
      'M' = [616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 384],
     [repeat(1000, 384),
      616 is 1000 - 384,
      collatz(616, [616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 384),
     rule(3),
     ['N' = 1000, 'I' = 384, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 384)]).
step(between(0, 999, 384), builtin, [], []).
step(616 is 1000 - 384, builtin, [], []).
step(collatzTrajectory(615, [615, 1846, 923, 2770, 1385, 4156, 2078, 1039, 3118, 1559, 4678, 2339, 7018, 3509, 10528, 5264, 2632, 1316, 658, 329, 988, 494, 247, 742, 371, 1114, 557, 1672, 836, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 615,
      'M' = [615, 1846, 923, 2770, 1385, 4156, 2078, 1039, 3118, 1559, 4678, 2339, 7018, 3509, 10528, 5264, 2632, 1316, 658, 329, 988, 494, 247, 742, 371, 1114, 557, 1672, 836, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 385],
     [repeat(1000, 385),
      615 is 1000 - 385,
      collatz(615, [615, 1846, 923, 2770, 1385, 4156, 2078, 1039, 3118, 1559, 4678, 2339, 7018, 3509, 10528, 5264, 2632, 1316, 658, 329, 988, 494, 247, 742, 371, 1114, 557, 1672, 836, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 385),
     rule(3),
     ['N' = 1000, 'I' = 385, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 385)]).
step(between(0, 999, 385), builtin, [], []).
step(615 is 1000 - 385, builtin, [], []).
step(collatz(615, [615, 1846, 923, 2770, 1385, 4156, 2078, 1039, 3118, 1559, 4678, 2339, 7018, 3509, 10528, 5264, 2632, 1316, 658, 329, 988, 494, 247, 742, 371, 1114, 557, 1672, 836, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 615,
      'J' = [1846, 923, 2770, 1385, 4156, 2078, 1039, 3118, 1559, 4678, 2339, 7018, 3509, 10528, 5264, 2632, 1316, 658, 329, 988, 494, 247, 742, 371, 1114, 557, 1672, 836, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 1845,
      'N1' = 1846],
     [615 > 1,
      1 is 615 mod 2,
      1845 is 3 * 615,
      1846 is 1845 + 1,
      collatz(1846, [1846, 923, 2770, 1385, 4156, 2078, 1039, 3118, 1559, 4678, 2339, 7018, 3509, 10528, 5264, 2632, 1316, 658, 329, 988, 494, 247, 742, 371, 1114, 557, 1672, 836, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(615 > 1, builtin, [], []).
step(1 is 615 mod 2, builtin, [], []).
step(1845 is 3 * 615, builtin, [], []).
step(1846 is 1845 + 1, builtin, [], []).
step(collatz(1846, [1846, 923, 2770, 1385, 4156, 2078, 1039, 3118, 1559, 4678, 2339, 7018, 3509, 10528, 5264, 2632, 1316, 658, 329, 988, 494, 247, 742, 371, 1114, 557, 1672, 836, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1846,
      'J' = [923, 2770, 1385, 4156, 2078, 1039, 3118, 1559, 4678, 2339, 7018, 3509, 10528, 5264, 2632, 1316, 658, 329, 988, 494, 247, 742, 371, 1114, 557, 1672, 836, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 923],
     [1846 > 1,
      0 is 1846 mod 2,
      923 is 1846 // 2,
      collatz(923, [923, 2770, 1385, 4156, 2078, 1039, 3118, 1559, 4678, 2339, 7018, 3509, 10528, 5264, 2632, 1316, 658, 329, 988, 494, 247, 742, 371, 1114, 557, 1672, 836, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1846 > 1, builtin, [], []).
step(0 is 1846 mod 2, builtin, [], []).
step(923 is 1846 // 2, builtin, [], []).
step(collatzTrajectory(614, [614, 307, 922, 461, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 614,
      'M' = [614, 307, 922, 461, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 386],
     [repeat(1000, 386),
      614 is 1000 - 386,
      collatz(614, [614, 307, 922, 461, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 386),
     rule(3),
     ['N' = 1000, 'I' = 386, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 386)]).
step(between(0, 999, 386), builtin, [], []).
step(614 is 1000 - 386, builtin, [], []).
step(collatzTrajectory(613, [613, 1840, 920, 460, 230, 115, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 613,
      'M' = [613, 1840, 920, 460, 230, 115, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 387],
     [repeat(1000, 387),
      613 is 1000 - 387,
      collatz(613, [613, 1840, 920, 460, 230, 115, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 387),
     rule(3),
     ['N' = 1000, 'I' = 387, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 387)]).
step(between(0, 999, 387), builtin, [], []).
step(613 is 1000 - 387, builtin, [], []).
step(collatzTrajectory(612, [612, 306, 153, 460, 230, 115, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 612,
      'M' = [612, 306, 153, 460, 230, 115, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 388],
     [repeat(1000, 388),
      612 is 1000 - 388,
      collatz(612, [612, 306, 153, 460, 230, 115, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 388),
     rule(3),
     ['N' = 1000, 'I' = 388, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 388)]).
step(between(0, 999, 388), builtin, [], []).
step(612 is 1000 - 388, builtin, [], []).
step(collatz(612, [612, 306, 153, 460, 230, 115, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 612,
      'J' = [306, 153, 460, 230, 115, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 306],
     [612 > 1,
      0 is 612 mod 2,
      306 is 612 // 2,
      collatz(306, [306, 153, 460, 230, 115, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(612 > 1, builtin, [], []).
step(0 is 612 mod 2, builtin, [], []).
step(306 is 612 // 2, builtin, [], []).
step(collatz(306, [306, 153, 460, 230, 115, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 306,
      'J' = [153, 460, 230, 115, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 153],
     [306 > 1,
      0 is 306 mod 2,
      153 is 306 // 2,
      collatz(153, [153, 460, 230, 115, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(306 > 1, builtin, [], []).
step(0 is 306 mod 2, builtin, [], []).
step(153 is 306 // 2, builtin, [], []).
step(collatz(153, [153, 460, 230, 115, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 153,
      'J' = [460, 230, 115, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 459,
      'N1' = 460],
     [153 > 1,
      1 is 153 mod 2,
      459 is 3 * 153,
      460 is 459 + 1,
      collatz(460, [460, 230, 115, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(153 > 1, builtin, [], []).
step(1 is 153 mod 2, builtin, [], []).
step(459 is 3 * 153, builtin, [], []).
step(460 is 459 + 1, builtin, [], []).
step(collatzTrajectory(611, [611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 611,
      'M' = [611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 389],
     [repeat(1000, 389),
      611 is 1000 - 389,
      collatz(611, [611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 389),
     rule(3),
     ['N' = 1000, 'I' = 389, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 389)]).
step(between(0, 999, 389), builtin, [], []).
step(611 is 1000 - 389, builtin, [], []).
step(collatzTrajectory(610, [610, 305, 916, 458, 229, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 610,
      'M' = [610, 305, 916, 458, 229, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 390],
     [repeat(1000, 390),
      610 is 1000 - 390,
      collatz(610, [610, 305, 916, 458, 229, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 390),
     rule(3),
     ['N' = 1000, 'I' = 390, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 390)]).
step(between(0, 999, 390), builtin, [], []).
step(610 is 1000 - 390, builtin, [], []).
step(collatzTrajectory(609, [609, 1828, 914, 457, 1372, 686, 343, 1030, 515, 1546, 773, 2320, 1160, 580, 290, 145, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 609,
      'M' = [609, 1828, 914, 457, 1372, 686, 343, 1030, 515, 1546, 773, 2320, 1160, 580, 290, 145, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 391],
     [repeat(1000, 391),
      609 is 1000 - 391,
      collatz(609, [609, 1828, 914, 457, 1372, 686, 343, 1030, 515, 1546, 773, 2320, 1160, 580, 290, 145, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 391),
     rule(3),
     ['N' = 1000, 'I' = 391, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 391)]).
step(between(0, 999, 391), builtin, [], []).
step(609 is 1000 - 391, builtin, [], []).
step(collatz(609, [609, 1828, 914, 457, 1372, 686, 343, 1030, 515, 1546, 773, 2320, 1160, 580, 290, 145, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 609,
      'J' = [1828, 914, 457, 1372, 686, 343, 1030, 515, 1546, 773, 2320, 1160, 580, 290, 145, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 1827,
      'N1' = 1828],
     [609 > 1,
      1 is 609 mod 2,
      1827 is 3 * 609,
      1828 is 1827 + 1,
      collatz(1828, [1828, 914, 457, 1372, 686, 343, 1030, 515, 1546, 773, 2320, 1160, 580, 290, 145, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(609 > 1, builtin, [], []).
step(1 is 609 mod 2, builtin, [], []).
step(1827 is 3 * 609, builtin, [], []).
step(1828 is 1827 + 1, builtin, [], []).
step(collatz(1828, [1828, 914, 457, 1372, 686, 343, 1030, 515, 1546, 773, 2320, 1160, 580, 290, 145, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1828,
      'J' = [914, 457, 1372, 686, 343, 1030, 515, 1546, 773, 2320, 1160, 580, 290, 145, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 914],
     [1828 > 1,
      0 is 1828 mod 2,
      914 is 1828 // 2,
      collatz(914, [914, 457, 1372, 686, 343, 1030, 515, 1546, 773, 2320, 1160, 580, 290, 145, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1828 > 1, builtin, [], []).
step(0 is 1828 mod 2, builtin, [], []).
step(914 is 1828 // 2, builtin, [], []).
step(collatzTrajectory(608, [608, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 608,
      'M' = [608, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 392],
     [repeat(1000, 392),
      608 is 1000 - 392,
      collatz(608, [608, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 392),
     rule(3),
     ['N' = 1000, 'I' = 392, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 392)]).
step(between(0, 999, 392), builtin, [], []).
step(608 is 1000 - 392, builtin, [], []).
step(collatzTrajectory(607, [607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 607,
      'M' = [607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 393],
     [repeat(1000, 393),
      607 is 1000 - 393,
      collatz(607, [607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 393),
     rule(3),
     ['N' = 1000, 'I' = 393, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 393)]).
step(between(0, 999, 393), builtin, [], []).
step(607 is 1000 - 393, builtin, [], []).
step(collatzTrajectory(606, [606, 303, 910, 455, 1366, 683, 2050, 1025, 3076, 1538, 769, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 606,
      'M' = [606, 303, 910, 455, 1366, 683, 2050, 1025, 3076, 1538, 769, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 394],
     [repeat(1000, 394),
      606 is 1000 - 394,
      collatz(606, [606, 303, 910, 455, 1366, 683, 2050, 1025, 3076, 1538, 769, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 394),
     rule(3),
     ['N' = 1000, 'I' = 394, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 394)]).
step(between(0, 999, 394), builtin, [], []).
step(606 is 1000 - 394, builtin, [], []).
step(collatz(606, [606, 303, 910, 455, 1366, 683, 2050, 1025, 3076, 1538, 769, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 606,
      'J' = [303, 910, 455, 1366, 683, 2050, 1025, 3076, 1538, 769, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 303],
     [606 > 1,
      0 is 606 mod 2,
      303 is 606 // 2,
      collatz(303, [303, 910, 455, 1366, 683, 2050, 1025, 3076, 1538, 769, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(606 > 1, builtin, [], []).
step(0 is 606 mod 2, builtin, [], []).
step(303 is 606 // 2, builtin, [], []).
step(collatz(303, [303, 910, 455, 1366, 683, 2050, 1025, 3076, 1538, 769, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 303,
      'J' = [910, 455, 1366, 683, 2050, 1025, 3076, 1538, 769, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 909,
      'N1' = 910],
     [303 > 1,
      1 is 303 mod 2,
      909 is 3 * 303,
      910 is 909 + 1,
      collatz(910, [910, 455, 1366, 683, 2050, 1025, 3076, 1538, 769, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(303 > 1, builtin, [], []).
step(1 is 303 mod 2, builtin, [], []).
step(909 is 3 * 303, builtin, [], []).
step(910 is 909 + 1, builtin, [], []).
step(collatzTrajectory(605, [605, 1816, 908, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 605,
      'M' = [605, 1816, 908, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1],
      'N0' = 395],
     [repeat(1000, 395),
      605 is 1000 - 395,
      collatz(605, [605, 1816, 908, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1])]).
step(repeat(1000, 395),
     rule(3),
     ['N' = 1000, 'I' = 395, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 395)]).
step(between(0, 999, 395), builtin, [], []).
step(605 is 1000 - 395, builtin, [], []).
step(collatzTrajectory(604, [604, 302, 151, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 604,
      'M' = [604, 302, 151, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1],
      'N0' = 396],
     [repeat(1000, 396),
      604 is 1000 - 396,
      collatz(604, [604, 302, 151, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1])]).
step(repeat(1000, 396),
     rule(3),
     ['N' = 1000, 'I' = 396, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 396)]).
step(between(0, 999, 396), builtin, [], []).
step(604 is 1000 - 396, builtin, [], []).
step(collatzTrajectory(603, [603, 1810, 905, 2716, 1358, 679, 2038, 1019, 3058, 1529, 4588, 2294, 1147, 3442, 1721, 5164, 2582, 1291, 3874, 1937, 5812, 2906, 1453, 4360, 2180, 1090, 545, 1636, 818, 409, 1228, 614, 307, 922, 461, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 603,
      'M' = [603, 1810, 905, 2716, 1358, 679, 2038, 1019, 3058, 1529, 4588, 2294, 1147, 3442, 1721, 5164, 2582, 1291, 3874, 1937, 5812, 2906, 1453, 4360, 2180, 1090, 545, 1636, 818, 409, 1228, 614, 307, 922, 461, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 397],
     [repeat(1000, 397),
      603 is 1000 - 397,
      collatz(603, [603, 1810, 905, 2716, 1358, 679, 2038, 1019, 3058, 1529, 4588, 2294, 1147, 3442, 1721, 5164, 2582, 1291, 3874, 1937, 5812, 2906, 1453, 4360, 2180, 1090, 545, 1636, 818, 409, 1228, 614, 307, 922, 461, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 397),
     rule(3),
     ['N' = 1000, 'I' = 397, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 397)]).
step(between(0, 999, 397), builtin, [], []).
step(603 is 1000 - 397, builtin, [], []).
step(collatz(603, [603, 1810, 905, 2716, 1358, 679, 2038, 1019, 3058, 1529, 4588, 2294, 1147, 3442, 1721, 5164, 2582, 1291, 3874, 1937, 5812, 2906, 1453, 4360, 2180, 1090, 545, 1636, 818, 409, 1228, 614, 307, 922, 461, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 603,
      'J' = [1810, 905, 2716, 1358, 679, 2038, 1019, 3058, 1529, 4588, 2294, 1147, 3442, 1721, 5164, 2582, 1291, 3874, 1937, 5812, 2906, 1453, 4360, 2180, 1090, 545, 1636, 818, 409, 1228, 614, 307, 922, 461, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 1809,
      'N1' = 1810],
     [603 > 1,
      1 is 603 mod 2,
      1809 is 3 * 603,
      1810 is 1809 + 1,
      collatz(1810, [1810, 905, 2716, 1358, 679, 2038, 1019, 3058, 1529, 4588, 2294, 1147, 3442, 1721, 5164, 2582, 1291, 3874, 1937, 5812, 2906, 1453, 4360, 2180, 1090, 545, 1636, 818, 409, 1228, 614, 307, 922, 461, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(603 > 1, builtin, [], []).
step(1 is 603 mod 2, builtin, [], []).
step(1809 is 3 * 603, builtin, [], []).
step(1810 is 1809 + 1, builtin, [], []).
step(collatz(1810, [1810, 905, 2716, 1358, 679, 2038, 1019, 3058, 1529, 4588, 2294, 1147, 3442, 1721, 5164, 2582, 1291, 3874, 1937, 5812, 2906, 1453, 4360, 2180, 1090, 545, 1636, 818, 409, 1228, 614, 307, 922, 461, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1810,
      'J' = [905, 2716, 1358, 679, 2038, 1019, 3058, 1529, 4588, 2294, 1147, 3442, 1721, 5164, 2582, 1291, 3874, 1937, 5812, 2906, 1453, 4360, 2180, 1090, 545, 1636, 818, 409, 1228, 614, 307, 922, 461, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 905],
     [1810 > 1,
      0 is 1810 mod 2,
      905 is 1810 // 2,
      collatz(905, [905, 2716, 1358, 679, 2038, 1019, 3058, 1529, 4588, 2294, 1147, 3442, 1721, 5164, 2582, 1291, 3874, 1937, 5812, 2906, 1453, 4360, 2180, 1090, 545, 1636, 818, 409, 1228, 614, 307, 922, 461, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1810 > 1, builtin, [], []).
step(0 is 1810 mod 2, builtin, [], []).
step(905 is 1810 // 2, builtin, [], []).
step(collatzTrajectory(602, [602, 301, 904, 452, 226, 113, 340, 170, 85, 256, 128, 64, 32, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 602,
      'M' = [602, 301, 904, 452, 226, 113, 340, 170, 85, 256, 128, 64, 32, 16, 8, 4, 2, 1],
      'N0' = 398],
     [repeat(1000, 398),
      602 is 1000 - 398,
      collatz(602, [602, 301, 904, 452, 226, 113, 340, 170, 85, 256, 128, 64, 32, 16, 8, 4, 2, 1])]).
step(repeat(1000, 398),
     rule(3),
     ['N' = 1000, 'I' = 398, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 398)]).
step(between(0, 999, 398), builtin, [], []).
step(602 is 1000 - 398, builtin, [], []).
step(collatzTrajectory(601, [601, 1804, 902, 451, 1354, 677, 2032, 1016, 508, 254, 127, 382, 191, 574, 287, 862, 431, 1294, 647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 601,
      'M' = [601, 1804, 902, 451, 1354, 677, 2032, 1016, 508, 254, 127, 382, 191, 574, 287, 862, 431, 1294, 647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 399],
     [repeat(1000, 399),
      601 is 1000 - 399,
      collatz(601, [601, 1804, 902, 451, 1354, 677, 2032, 1016, 508, 254, 127, 382, 191, 574, 287, 862, 431, 1294, 647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 399),
     rule(3),
     ['N' = 1000, 'I' = 399, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 399)]).
step(between(0, 999, 399), builtin, [], []).
step(601 is 1000 - 399, builtin, [], []).
step(collatzTrajectory(600, [600, 300, 150, 75, 226, 113, 340, 170, 85, 256, 128, 64, 32, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 600,
      'M' = [600, 300, 150, 75, 226, 113, 340, 170, 85, 256, 128, 64, 32, 16, 8, 4, 2, 1],
      'N0' = 400],
     [repeat(1000, 400),
      600 is 1000 - 400,
      collatz(600, [600, 300, 150, 75, 226, 113, 340, 170, 85, 256, 128, 64, 32, 16, 8, 4, 2, 1])]).
step(repeat(1000, 400),
     rule(3),
     ['N' = 1000, 'I' = 400, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 400)]).
step(between(0, 999, 400), builtin, [], []).
step(600 is 1000 - 400, builtin, [], []).
step(collatz(600, [600, 300, 150, 75, 226, 113, 340, 170, 85, 256, 128, 64, 32, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 600,
      'J' = [300, 150, 75, 226, 113, 340, 170, 85, 256, 128, 64, 32, 16, 8, 4, 2, 1],
      'N1' = 300],
     [600 > 1,
      0 is 600 mod 2,
      300 is 600 // 2,
      collatz(300, [300, 150, 75, 226, 113, 340, 170, 85, 256, 128, 64, 32, 16, 8, 4, 2, 1])]).
step(600 > 1, builtin, [], []).
step(0 is 600 mod 2, builtin, [], []).
step(300 is 600 // 2, builtin, [], []).
step(collatz(300, [300, 150, 75, 226, 113, 340, 170, 85, 256, 128, 64, 32, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 300,
      'J' = [150, 75, 226, 113, 340, 170, 85, 256, 128, 64, 32, 16, 8, 4, 2, 1],
      'N1' = 150],
     [300 > 1,
      0 is 300 mod 2,
      150 is 300 // 2,
      collatz(150, [150, 75, 226, 113, 340, 170, 85, 256, 128, 64, 32, 16, 8, 4, 2, 1])]).
step(300 > 1, builtin, [], []).
step(0 is 300 mod 2, builtin, [], []).
step(150 is 300 // 2, builtin, [], []).
step(collatz(150, [150, 75, 226, 113, 340, 170, 85, 256, 128, 64, 32, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 150,
      'J' = [75, 226, 113, 340, 170, 85, 256, 128, 64, 32, 16, 8, 4, 2, 1],
      'N1' = 75],
     [150 > 1,
      0 is 150 mod 2,
      75 is 150 // 2,
      collatz(75, [75, 226, 113, 340, 170, 85, 256, 128, 64, 32, 16, 8, 4, 2, 1])]).
step(150 > 1, builtin, [], []).
step(0 is 150 mod 2, builtin, [], []).
step(75 is 150 // 2, builtin, [], []).
step(collatz(75, [75, 226, 113, 340, 170, 85, 256, 128, 64, 32, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 75,
      'J' = [226, 113, 340, 170, 85, 256, 128, 64, 32, 16, 8, 4, 2, 1],
      'T' = 225,
      'N1' = 226],
     [75 > 1,
      1 is 75 mod 2,
      225 is 3 * 75,
      226 is 225 + 1,
      collatz(226, [226, 113, 340, 170, 85, 256, 128, 64, 32, 16, 8, 4, 2, 1])]).
step(75 > 1, builtin, [], []).
step(1 is 75 mod 2, builtin, [], []).
step(225 is 3 * 75, builtin, [], []).
step(226 is 225 + 1, builtin, [], []).
step(collatzTrajectory(599, [599, 1798, 899, 2698, 1349, 4048, 2024, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 599,
      'M' = [599, 1798, 899, 2698, 1349, 4048, 2024, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 401],
     [repeat(1000, 401),
      599 is 1000 - 401,
      collatz(599, [599, 1798, 899, 2698, 1349, 4048, 2024, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 401),
     rule(3),
     ['N' = 1000, 'I' = 401, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 401)]).
step(between(0, 999, 401), builtin, [], []).
step(599 is 1000 - 401, builtin, [], []).
step(collatzTrajectory(598, [598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 598,
      'M' = [598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 402],
     [repeat(1000, 402),
      598 is 1000 - 402,
      collatz(598, [598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 402),
     rule(3),
     ['N' = 1000, 'I' = 402, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 402)]).
step(between(0, 999, 402), builtin, [], []).
step(598 is 1000 - 402, builtin, [], []).
step(collatzTrajectory(597, [597, 1792, 896, 448, 224, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 597,
      'M' = [597, 1792, 896, 448, 224, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 403],
     [repeat(1000, 403),
      597 is 1000 - 403,
      collatz(597, [597, 1792, 896, 448, 224, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 403),
     rule(3),
     ['N' = 1000, 'I' = 403, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 403)]).
step(between(0, 999, 403), builtin, [], []).
step(597 is 1000 - 403, builtin, [], []).
step(collatz(597, [597, 1792, 896, 448, 224, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 597,
      'J' = [1792, 896, 448, 224, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 1791,
      'N1' = 1792],
     [597 > 1,
      1 is 597 mod 2,
      1791 is 3 * 597,
      1792 is 1791 + 1,
      collatz(1792, [1792, 896, 448, 224, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(597 > 1, builtin, [], []).
step(1 is 597 mod 2, builtin, [], []).
step(1791 is 3 * 597, builtin, [], []).
step(1792 is 1791 + 1, builtin, [], []).
step(collatzTrajectory(596, [596, 298, 149, 448, 224, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 596,
      'M' = [596, 298, 149, 448, 224, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 404],
     [repeat(1000, 404),
      596 is 1000 - 404,
      collatz(596, [596, 298, 149, 448, 224, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 404),
     rule(3),
     ['N' = 1000, 'I' = 404, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 404)]).
step(between(0, 999, 404), builtin, [], []).
step(596 is 1000 - 404, builtin, [], []).
step(collatzTrajectory(595, [595, 1786, 893, 2680, 1340, 670, 335, 1006, 503, 1510, 755, 2266, 1133, 3400, 1700, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 595,
      'M' = [595, 1786, 893, 2680, 1340, 670, 335, 1006, 503, 1510, 755, 2266, 1133, 3400, 1700, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 405],
     [repeat(1000, 405),
      595 is 1000 - 405,
      collatz(595, [595, 1786, 893, 2680, 1340, 670, 335, 1006, 503, 1510, 755, 2266, 1133, 3400, 1700, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 405),
     rule(3),
     ['N' = 1000, 'I' = 405, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 405)]).
step(between(0, 999, 405), builtin, [], []).
step(595 is 1000 - 405, builtin, [], []).
step(collatzTrajectory(594, [594, 297, 892, 446, 223, 670, 335, 1006, 503, 1510, 755, 2266, 1133, 3400, 1700, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 594,
      'M' = [594, 297, 892, 446, 223, 670, 335, 1006, 503, 1510, 755, 2266, 1133, 3400, 1700, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 406],
     [repeat(1000, 406),
      594 is 1000 - 406,
      collatz(594, [594, 297, 892, 446, 223, 670, 335, 1006, 503, 1510, 755, 2266, 1133, 3400, 1700, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 406),
     rule(3),
     ['N' = 1000, 'I' = 406, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 406)]).
step(between(0, 999, 406), builtin, [], []).
step(594 is 1000 - 406, builtin, [], []).
step(collatz(594, [594, 297, 892, 446, 223, 670, 335, 1006, 503, 1510, 755, 2266, 1133, 3400, 1700, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 594,
      'J' = [297, 892, 446, 223, 670, 335, 1006, 503, 1510, 755, 2266, 1133, 3400, 1700, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 297],
     [594 > 1,
      0 is 594 mod 2,
      297 is 594 // 2,
      collatz(297, [297, 892, 446, 223, 670, 335, 1006, 503, 1510, 755, 2266, 1133, 3400, 1700, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(594 > 1, builtin, [], []).
step(0 is 594 mod 2, builtin, [], []).
step(297 is 594 // 2, builtin, [], []).
step(collatz(297, [297, 892, 446, 223, 670, 335, 1006, 503, 1510, 755, 2266, 1133, 3400, 1700, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 297,
      'J' = [892, 446, 223, 670, 335, 1006, 503, 1510, 755, 2266, 1133, 3400, 1700, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 891,
      'N1' = 892],
     [297 > 1,
      1 is 297 mod 2,
      891 is 3 * 297,
      892 is 891 + 1,
      collatz(892, [892, 446, 223, 670, 335, 1006, 503, 1510, 755, 2266, 1133, 3400, 1700, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(297 > 1, builtin, [], []).
step(1 is 297 mod 2, builtin, [], []).
step(891 is 3 * 297, builtin, [], []).
step(892 is 891 + 1, builtin, [], []).
step(collatzTrajectory(593, [593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 593,
      'M' = [593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 407],
     [repeat(1000, 407),
      593 is 1000 - 407,
      collatz(593, [593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 407),
     rule(3),
     ['N' = 1000, 'I' = 407, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 407)]).
step(between(0, 999, 407), builtin, [], []).
step(593 is 1000 - 407, builtin, [], []).
step(collatzTrajectory(592, [592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 592,
      'M' = [592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 408],
     [repeat(1000, 408),
      592 is 1000 - 408,
      collatz(592, [592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 408),
     rule(3),
     ['N' = 1000, 'I' = 408, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 408)]).
step(between(0, 999, 408), builtin, [], []).
step(592 is 1000 - 408, builtin, [], []).
step(collatzTrajectory(591, [591, 1774, 887, 2662, 1331, 3994, 1997, 5992, 2996, 1498, 749, 2248, 1124, 562, 281, 844, 422, 211, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 591,
      'M' = [591, 1774, 887, 2662, 1331, 3994, 1997, 5992, 2996, 1498, 749, 2248, 1124, 562, 281, 844, 422, 211, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 409],
     [repeat(1000, 409),
      591 is 1000 - 409,
      collatz(591, [591, 1774, 887, 2662, 1331, 3994, 1997, 5992, 2996, 1498, 749, 2248, 1124, 562, 281, 844, 422, 211, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 409),
     rule(3),
     ['N' = 1000, 'I' = 409, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 409)]).
step(between(0, 999, 409), builtin, [], []).
step(591 is 1000 - 409, builtin, [], []).
step(collatz(591, [591, 1774, 887, 2662, 1331, 3994, 1997, 5992, 2996, 1498, 749, 2248, 1124, 562, 281, 844, 422, 211, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 591,
      'J' = [1774, 887, 2662, 1331, 3994, 1997, 5992, 2996, 1498, 749, 2248, 1124, 562, 281, 844, 422, 211, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 1773,
      'N1' = 1774],
     [591 > 1,
      1 is 591 mod 2,
      1773 is 3 * 591,
      1774 is 1773 + 1,
      collatz(1774, [1774, 887, 2662, 1331, 3994, 1997, 5992, 2996, 1498, 749, 2248, 1124, 562, 281, 844, 422, 211, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(591 > 1, builtin, [], []).
step(1 is 591 mod 2, builtin, [], []).
step(1773 is 3 * 591, builtin, [], []).
step(1774 is 1773 + 1, builtin, [], []).
step(collatz(1774, [1774, 887, 2662, 1331, 3994, 1997, 5992, 2996, 1498, 749, 2248, 1124, 562, 281, 844, 422, 211, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1774,
      'J' = [887, 2662, 1331, 3994, 1997, 5992, 2996, 1498, 749, 2248, 1124, 562, 281, 844, 422, 211, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 887],
     [1774 > 1,
      0 is 1774 mod 2,
      887 is 1774 // 2,
      collatz(887, [887, 2662, 1331, 3994, 1997, 5992, 2996, 1498, 749, 2248, 1124, 562, 281, 844, 422, 211, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1774 > 1, builtin, [], []).
step(0 is 1774 mod 2, builtin, [], []).
step(887 is 1774 // 2, builtin, [], []).
step(collatzTrajectory(590, [590, 295, 886, 443, 1330, 665, 1996, 998, 499, 1498, 749, 2248, 1124, 562, 281, 844, 422, 211, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 590,
      'M' = [590, 295, 886, 443, 1330, 665, 1996, 998, 499, 1498, 749, 2248, 1124, 562, 281, 844, 422, 211, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 410],
     [repeat(1000, 410),
      590 is 1000 - 410,
      collatz(590, [590, 295, 886, 443, 1330, 665, 1996, 998, 499, 1498, 749, 2248, 1124, 562, 281, 844, 422, 211, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 410),
     rule(3),
     ['N' = 1000, 'I' = 410, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 410)]).
step(between(0, 999, 410), builtin, [], []).
step(590 is 1000 - 410, builtin, [], []).
step(collatzTrajectory(589, [589, 1768, 884, 442, 221, 664, 332, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 589,
      'M' = [589, 1768, 884, 442, 221, 664, 332, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 411],
     [repeat(1000, 411),
      589 is 1000 - 411,
      collatz(589, [589, 1768, 884, 442, 221, 664, 332, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 411),
     rule(3),
     ['N' = 1000, 'I' = 411, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 411)]).
step(between(0, 999, 411), builtin, [], []).
step(589 is 1000 - 411, builtin, [], []).
step(collatzTrajectory(588, [588, 294, 147, 442, 221, 664, 332, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 588,
      'M' = [588, 294, 147, 442, 221, 664, 332, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 412],
     [repeat(1000, 412),
      588 is 1000 - 412,
      collatz(588, [588, 294, 147, 442, 221, 664, 332, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 412),
     rule(3),
     ['N' = 1000, 'I' = 412, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 412)]).
step(between(0, 999, 412), builtin, [], []).
step(588 is 1000 - 412, builtin, [], []).
step(collatz(588, [588, 294, 147, 442, 221, 664, 332, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 588,
      'J' = [294, 147, 442, 221, 664, 332, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 294],
     [588 > 1,
      0 is 588 mod 2,
      294 is 588 // 2,
      collatz(294, [294, 147, 442, 221, 664, 332, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(588 > 1, builtin, [], []).
step(0 is 588 mod 2, builtin, [], []).
step(294 is 588 // 2, builtin, [], []).
step(collatz(294, [294, 147, 442, 221, 664, 332, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 294,
      'J' = [147, 442, 221, 664, 332, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 147],
     [294 > 1,
      0 is 294 mod 2,
      147 is 294 // 2,
      collatz(147, [147, 442, 221, 664, 332, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(294 > 1, builtin, [], []).
step(0 is 294 mod 2, builtin, [], []).
step(147 is 294 // 2, builtin, [], []).
step(collatz(147, [147, 442, 221, 664, 332, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 147,
      'J' = [442, 221, 664, 332, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 441,
      'N1' = 442],
     [147 > 1,
      1 is 147 mod 2,
      441 is 3 * 147,
      442 is 441 + 1,
      collatz(442, [442, 221, 664, 332, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(147 > 1, builtin, [], []).
step(1 is 147 mod 2, builtin, [], []).
step(441 is 3 * 147, builtin, [], []).
step(442 is 441 + 1, builtin, [], []).
step(collatzTrajectory(587, [587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 587,
      'M' = [587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 413],
     [repeat(1000, 413),
      587 is 1000 - 413,
      collatz(587, [587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 413),
     rule(3),
     ['N' = 1000, 'I' = 413, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 413)]).
step(between(0, 999, 413), builtin, [], []).
step(587 is 1000 - 413, builtin, [], []).
step(collatzTrajectory(586, [586, 293, 880, 440, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 586,
      'M' = [586, 293, 880, 440, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 414],
     [repeat(1000, 414),
      586 is 1000 - 414,
      collatz(586, [586, 293, 880, 440, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 414),
     rule(3),
     ['N' = 1000, 'I' = 414, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 414)]).
step(between(0, 999, 414), builtin, [], []).
step(586 is 1000 - 414, builtin, [], []).
step(collatzTrajectory(585, [585, 1756, 878, 439, 1318, 659, 1978, 989, 2968, 1484, 742, 371, 1114, 557, 1672, 836, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 585,
      'M' = [585, 1756, 878, 439, 1318, 659, 1978, 989, 2968, 1484, 742, 371, 1114, 557, 1672, 836, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 415],
     [repeat(1000, 415),
      585 is 1000 - 415,
      collatz(585, [585, 1756, 878, 439, 1318, 659, 1978, 989, 2968, 1484, 742, 371, 1114, 557, 1672, 836, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 415),
     rule(3),
     ['N' = 1000, 'I' = 415, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 415)]).
step(between(0, 999, 415), builtin, [], []).
step(585 is 1000 - 415, builtin, [], []).
step(collatz(585, [585, 1756, 878, 439, 1318, 659, 1978, 989, 2968, 1484, 742, 371, 1114, 557, 1672, 836, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 585,
      'J' = [1756, 878, 439, 1318, 659, 1978, 989, 2968, 1484, 742, 371, 1114, 557, 1672, 836, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 1755,
      'N1' = 1756],
     [585 > 1,
      1 is 585 mod 2,
      1755 is 3 * 585,
      1756 is 1755 + 1,
      collatz(1756, [1756, 878, 439, 1318, 659, 1978, 989, 2968, 1484, 742, 371, 1114, 557, 1672, 836, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(585 > 1, builtin, [], []).
step(1 is 585 mod 2, builtin, [], []).
step(1755 is 3 * 585, builtin, [], []).
step(1756 is 1755 + 1, builtin, [], []).
step(collatz(1756, [1756, 878, 439, 1318, 659, 1978, 989, 2968, 1484, 742, 371, 1114, 557, 1672, 836, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1756,
      'J' = [878, 439, 1318, 659, 1978, 989, 2968, 1484, 742, 371, 1114, 557, 1672, 836, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 878],
     [1756 > 1,
      0 is 1756 mod 2,
      878 is 1756 // 2,
      collatz(878, [878, 439, 1318, 659, 1978, 989, 2968, 1484, 742, 371, 1114, 557, 1672, 836, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1756 > 1, builtin, [], []).
step(0 is 1756 mod 2, builtin, [], []).
step(878 is 1756 // 2, builtin, [], []).
step(collatzTrajectory(584, [584, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 584,
      'M' = [584, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 416],
     [repeat(1000, 416),
      584 is 1000 - 416,
      collatz(584, [584, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 416),
     rule(3),
     ['N' = 1000, 'I' = 416, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 416)]).
step(between(0, 999, 416), builtin, [], []).
step(584 is 1000 - 416, builtin, [], []).
step(collatzTrajectory(583, [583, 1750, 875, 2626, 1313, 3940, 1970, 985, 2956, 1478, 739, 2218, 1109, 3328, 1664, 832, 416, 208, 104, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 583,
      'M' = [583, 1750, 875, 2626, 1313, 3940, 1970, 985, 2956, 1478, 739, 2218, 1109, 3328, 1664, 832, 416, 208, 104, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 417],
     [repeat(1000, 417),
      583 is 1000 - 417,
      collatz(583, [583, 1750, 875, 2626, 1313, 3940, 1970, 985, 2956, 1478, 739, 2218, 1109, 3328, 1664, 832, 416, 208, 104, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 417),
     rule(3),
     ['N' = 1000, 'I' = 417, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 417)]).
step(between(0, 999, 417), builtin, [], []).
step(583 is 1000 - 417, builtin, [], []).
step(collatzTrajectory(582, [582, 291, 874, 437, 1312, 656, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 582,
      'M' = [582, 291, 874, 437, 1312, 656, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 418],
     [repeat(1000, 418),
      582 is 1000 - 418,
      collatz(582, [582, 291, 874, 437, 1312, 656, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 418),
     rule(3),
     ['N' = 1000, 'I' = 418, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 418)]).
step(between(0, 999, 418), builtin, [], []).
step(582 is 1000 - 418, builtin, [], []).
step(collatz(582, [582, 291, 874, 437, 1312, 656, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 582,
      'J' = [291, 874, 437, 1312, 656, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 291],
     [582 > 1,
      0 is 582 mod 2,
      291 is 582 // 2,
      collatz(291, [291, 874, 437, 1312, 656, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(582 > 1, builtin, [], []).
step(0 is 582 mod 2, builtin, [], []).
step(291 is 582 // 2, builtin, [], []).
step(collatz(291, [291, 874, 437, 1312, 656, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 291,
      'J' = [874, 437, 1312, 656, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 873,
      'N1' = 874],
     [291 > 1,
      1 is 291 mod 2,
      873 is 3 * 291,
      874 is 873 + 1,
      collatz(874, [874, 437, 1312, 656, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(291 > 1, builtin, [], []).
step(1 is 291 mod 2, builtin, [], []).
step(873 is 3 * 291, builtin, [], []).
step(874 is 873 + 1, builtin, [], []).
step(collatzTrajectory(581, [581, 1744, 872, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 581,
      'M' = [581, 1744, 872, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 419],
     [repeat(1000, 419),
      581 is 1000 - 419,
      collatz(581, [581, 1744, 872, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 419),
     rule(3),
     ['N' = 1000, 'I' = 419, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 419)]).
step(between(0, 999, 419), builtin, [], []).
step(581 is 1000 - 419, builtin, [], []).
step(collatzTrajectory(580, [580, 290, 145, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 580,
      'M' = [580, 290, 145, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 420],
     [repeat(1000, 420),
      580 is 1000 - 420,
      collatz(580, [580, 290, 145, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 420),
     rule(3),
     ['N' = 1000, 'I' = 420, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 420)]).
step(between(0, 999, 420), builtin, [], []).
step(580 is 1000 - 420, builtin, [], []).
step(collatzTrajectory(579, [579, 1738, 869, 2608, 1304, 652, 326, 163, 490, 245, 736, 368, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 579,
      'M' = [579, 1738, 869, 2608, 1304, 652, 326, 163, 490, 245, 736, 368, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 421],
     [repeat(1000, 421),
      579 is 1000 - 421,
      collatz(579, [579, 1738, 869, 2608, 1304, 652, 326, 163, 490, 245, 736, 368, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 421),
     rule(3),
     ['N' = 1000, 'I' = 421, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 421)]).
step(between(0, 999, 421), builtin, [], []).
step(579 is 1000 - 421, builtin, [], []).
step(collatz(579, [579, 1738, 869, 2608, 1304, 652, 326, 163, 490, 245, 736, 368, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 579,
      'J' = [1738, 869, 2608, 1304, 652, 326, 163, 490, 245, 736, 368, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 1737,
      'N1' = 1738],
     [579 > 1,
      1 is 579 mod 2,
      1737 is 3 * 579,
      1738 is 1737 + 1,
      collatz(1738, [1738, 869, 2608, 1304, 652, 326, 163, 490, 245, 736, 368, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(579 > 1, builtin, [], []).
step(1 is 579 mod 2, builtin, [], []).
step(1737 is 3 * 579, builtin, [], []).
step(1738 is 1737 + 1, builtin, [], []).
step(collatz(1738, [1738, 869, 2608, 1304, 652, 326, 163, 490, 245, 736, 368, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1738,
      'J' = [869, 2608, 1304, 652, 326, 163, 490, 245, 736, 368, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 869],
     [1738 > 1,
      0 is 1738 mod 2,
      869 is 1738 // 2,
      collatz(869, [869, 2608, 1304, 652, 326, 163, 490, 245, 736, 368, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1738 > 1, builtin, [], []).
step(0 is 1738 mod 2, builtin, [], []).
step(869 is 1738 // 2, builtin, [], []).
step(collatzTrajectory(578, [578, 289, 868, 434, 217, 652, 326, 163, 490, 245, 736, 368, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 578,
      'M' = [578, 289, 868, 434, 217, 652, 326, 163, 490, 245, 736, 368, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 422],
     [repeat(1000, 422),
      578 is 1000 - 422,
      collatz(578, [578, 289, 868, 434, 217, 652, 326, 163, 490, 245, 736, 368, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 422),
     rule(3),
     ['N' = 1000, 'I' = 422, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 422)]).
step(between(0, 999, 422), builtin, [], []).
step(578 is 1000 - 422, builtin, [], []).
step(collatzTrajectory(577, [577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 577,
      'M' = [577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 423],
     [repeat(1000, 423),
      577 is 1000 - 423,
      collatz(577, [577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 423),
     rule(3),
     ['N' = 1000, 'I' = 423, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 423)]).
step(between(0, 999, 423), builtin, [], []).
step(577 is 1000 - 423, builtin, [], []).
step(collatzTrajectory(576, [576, 288, 144, 72, 36, 18, 9, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 576,
      'M' = [576, 288, 144, 72, 36, 18, 9, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 424],
     [repeat(1000, 424),
      576 is 1000 - 424,
      collatz(576, [576, 288, 144, 72, 36, 18, 9, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 424),
     rule(3),
     ['N' = 1000, 'I' = 424, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 424)]).
step(between(0, 999, 424), builtin, [], []).
step(576 is 1000 - 424, builtin, [], []).
step(collatz(576, [576, 288, 144, 72, 36, 18, 9, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 576,
      'J' = [288, 144, 72, 36, 18, 9, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 288],
     [576 > 1,
      0 is 576 mod 2,
      288 is 576 // 2,
      collatz(288, [288, 144, 72, 36, 18, 9, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(576 > 1, builtin, [], []).
step(0 is 576 mod 2, builtin, [], []).
step(288 is 576 // 2, builtin, [], []).
step(collatz(288, [288, 144, 72, 36, 18, 9, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 288,
      'J' = [144, 72, 36, 18, 9, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 144],
     [288 > 1,
      0 is 288 mod 2,
      144 is 288 // 2,
      collatz(144, [144, 72, 36, 18, 9, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(288 > 1, builtin, [], []).
step(0 is 288 mod 2, builtin, [], []).
step(144 is 288 // 2, builtin, [], []).
step(collatz(144, [144, 72, 36, 18, 9, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 144,
      'J' = [72, 36, 18, 9, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 72],
     [144 > 1,
      0 is 144 mod 2,
      72 is 144 // 2,
      collatz(72, [72, 36, 18, 9, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(144 > 1, builtin, [], []).
step(0 is 144 mod 2, builtin, [], []).
step(72 is 144 // 2, builtin, [], []).
step(collatz(72, [72, 36, 18, 9, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 72,
      'J' = [36, 18, 9, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 36],
     [72 > 1,
      0 is 72 mod 2,
      36 is 72 // 2,
      collatz(36, [36, 18, 9, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(72 > 1, builtin, [], []).
step(0 is 72 mod 2, builtin, [], []).
step(36 is 72 // 2, builtin, [], []).
step(collatz(36, [36, 18, 9, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 36,
      'J' = [18, 9, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 18],
     [36 > 1,
      0 is 36 mod 2,
      18 is 36 // 2,
      collatz(18, [18, 9, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(36 > 1, builtin, [], []).
step(0 is 36 mod 2, builtin, [], []).
step(18 is 36 // 2, builtin, [], []).
step(collatz(18, [18, 9, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 18,
      'J' = [9, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 9],
     [18 > 1,
      0 is 18 mod 2,
      9 is 18 // 2,
      collatz(9, [9, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(18 > 1, builtin, [], []).
step(0 is 18 mod 2, builtin, [], []).
step(9 is 18 // 2, builtin, [], []).
step(collatz(9, [9, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 9,
      'J' = [28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 27,
      'N1' = 28],
     [9 > 1,
      1 is 9 mod 2,
      27 is 3 * 9,
      28 is 27 + 1,
      collatz(28, [28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(9 > 1, builtin, [], []).
step(1 is 9 mod 2, builtin, [], []).
step(27 is 3 * 9, builtin, [], []).
step(28 is 27 + 1, builtin, [], []).
step(collatzTrajectory(575, [575, 1726, 863, 2590, 1295, 3886, 1943, 5830, 2915, 8746, 4373, 13120, 6560, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 575,
      'M' = [575, 1726, 863, 2590, 1295, 3886, 1943, 5830, 2915, 8746, 4373, 13120, 6560, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 425],
     [repeat(1000, 425),
      575 is 1000 - 425,
      collatz(575, [575, 1726, 863, 2590, 1295, 3886, 1943, 5830, 2915, 8746, 4373, 13120, 6560, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 425),
     rule(3),
     ['N' = 1000, 'I' = 425, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 425)]).
step(between(0, 999, 425), builtin, [], []).
step(575 is 1000 - 425, builtin, [], []).
step(collatzTrajectory(574, [574, 287, 862, 431, 1294, 647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 574,
      'M' = [574, 287, 862, 431, 1294, 647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 426],
     [repeat(1000, 426),
      574 is 1000 - 426,
      collatz(574, [574, 287, 862, 431, 1294, 647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 426),
     rule(3),
     ['N' = 1000, 'I' = 426, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 426)]).
step(between(0, 999, 426), builtin, [], []).
step(574 is 1000 - 426, builtin, [], []).
step(collatzTrajectory(573, [573, 1720, 860, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 573,
      'M' = [573, 1720, 860, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 427],
     [repeat(1000, 427),
      573 is 1000 - 427,
      collatz(573, [573, 1720, 860, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 427),
     rule(3),
     ['N' = 1000, 'I' = 427, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 427)]).
step(between(0, 999, 427), builtin, [], []).
step(573 is 1000 - 427, builtin, [], []).
step(collatz(573, [573, 1720, 860, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 573,
      'J' = [1720, 860, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 1719,
      'N1' = 1720],
     [573 > 1,
      1 is 573 mod 2,
      1719 is 3 * 573,
      1720 is 1719 + 1,
      collatz(1720, [1720, 860, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(573 > 1, builtin, [], []).
step(1 is 573 mod 2, builtin, [], []).
step(1719 is 3 * 573, builtin, [], []).
step(1720 is 1719 + 1, builtin, [], []).
step(collatz(1720, [1720, 860, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1720,
      'J' = [860, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 860],
     [1720 > 1,
      0 is 1720 mod 2,
      860 is 1720 // 2,
      collatz(860, [860, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1720 > 1, builtin, [], []).
step(0 is 1720 mod 2, builtin, [], []).
step(860 is 1720 // 2, builtin, [], []).
step(collatzTrajectory(572, [572, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 572,
      'M' = [572, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 428],
     [repeat(1000, 428),
      572 is 1000 - 428,
      collatz(572, [572, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 428),
     rule(3),
     ['N' = 1000, 'I' = 428, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 428)]).
step(between(0, 999, 428), builtin, [], []).
step(572 is 1000 - 428, builtin, [], []).
step(collatzTrajectory(571, [571, 1714, 857, 2572, 1286, 643, 1930, 965, 2896, 1448, 724, 362, 181, 544, 272, 136, 68, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 571,
      'M' = [571, 1714, 857, 2572, 1286, 643, 1930, 965, 2896, 1448, 724, 362, 181, 544, 272, 136, 68, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 429],
     [repeat(1000, 429),
      571 is 1000 - 429,
      collatz(571, [571, 1714, 857, 2572, 1286, 643, 1930, 965, 2896, 1448, 724, 362, 181, 544, 272, 136, 68, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 429),
     rule(3),
     ['N' = 1000, 'I' = 429, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 429)]).
step(between(0, 999, 429), builtin, [], []).
step(571 is 1000 - 429, builtin, [], []).
step(collatzTrajectory(570, [570, 285, 856, 428, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 570,
      'M' = [570, 285, 856, 428, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 430],
     [repeat(1000, 430),
      570 is 1000 - 430,
      collatz(570, [570, 285, 856, 428, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 430),
     rule(3),
     ['N' = 1000, 'I' = 430, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 430)]).
step(between(0, 999, 430), builtin, [], []).
step(570 is 1000 - 430, builtin, [], []).
step(collatz(570, [570, 285, 856, 428, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 570,
      'J' = [285, 856, 428, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 285],
     [570 > 1,
      0 is 570 mod 2,
      285 is 570 // 2,
      collatz(285, [285, 856, 428, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(570 > 1, builtin, [], []).
step(0 is 570 mod 2, builtin, [], []).
step(285 is 570 // 2, builtin, [], []).
step(collatz(285, [285, 856, 428, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 285,
      'J' = [856, 428, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 855,
      'N1' = 856],
     [285 > 1,
      1 is 285 mod 2,
      855 is 3 * 285,
      856 is 855 + 1,
      collatz(856, [856, 428, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(285 > 1, builtin, [], []).
step(1 is 285 mod 2, builtin, [], []).
step(855 is 3 * 285, builtin, [], []).
step(856 is 855 + 1, builtin, [], []).
step(collatzTrajectory(569, [569, 1708, 854, 427, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 569,
      'M' = [569, 1708, 854, 427, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 431],
     [repeat(1000, 431),
      569 is 1000 - 431,
      collatz(569, [569, 1708, 854, 427, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 431),
     rule(3),
     ['N' = 1000, 'I' = 431, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 431)]).
step(between(0, 999, 431), builtin, [], []).
step(569 is 1000 - 431, builtin, [], []).
step(collatzTrajectory(568, [568, 284, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 568,
      'M' = [568, 284, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 432],
     [repeat(1000, 432),
      568 is 1000 - 432,
      collatz(568, [568, 284, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 432),
     rule(3),
     ['N' = 1000, 'I' = 432, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 432)]).
step(between(0, 999, 432), builtin, [], []).
step(568 is 1000 - 432, builtin, [], []).
step(collatzTrajectory(567, [567, 1702, 851, 2554, 1277, 3832, 1916, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 567,
      'M' = [567, 1702, 851, 2554, 1277, 3832, 1916, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 433],
     [repeat(1000, 433),
      567 is 1000 - 433,
      collatz(567, [567, 1702, 851, 2554, 1277, 3832, 1916, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 433),
     rule(3),
     ['N' = 1000, 'I' = 433, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 433)]).
step(between(0, 999, 433), builtin, [], []).
step(567 is 1000 - 433, builtin, [], []).
step(collatz(567, [567, 1702, 851, 2554, 1277, 3832, 1916, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 567,
      'J' = [1702, 851, 2554, 1277, 3832, 1916, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 1701,
      'N1' = 1702],
     [567 > 1,
      1 is 567 mod 2,
      1701 is 3 * 567,
      1702 is 1701 + 1,
      collatz(1702, [1702, 851, 2554, 1277, 3832, 1916, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(567 > 1, builtin, [], []).
step(1 is 567 mod 2, builtin, [], []).
step(1701 is 3 * 567, builtin, [], []).
step(1702 is 1701 + 1, builtin, [], []).
step(collatz(1702, [1702, 851, 2554, 1277, 3832, 1916, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1702,
      'J' = [851, 2554, 1277, 3832, 1916, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 851],
     [1702 > 1,
      0 is 1702 mod 2,
      851 is 1702 // 2,
      collatz(851, [851, 2554, 1277, 3832, 1916, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1702 > 1, builtin, [], []).
step(0 is 1702 mod 2, builtin, [], []).
step(851 is 1702 // 2, builtin, [], []).
step(collatzTrajectory(566, [566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 566,
      'M' = [566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 434],
     [repeat(1000, 434),
      566 is 1000 - 434,
      collatz(566, [566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 434),
     rule(3),
     ['N' = 1000, 'I' = 434, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 434)]).
step(between(0, 999, 434), builtin, [], []).
step(566 is 1000 - 434, builtin, [], []).
step(collatzTrajectory(565, [565, 1696, 848, 424, 212, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 565,
      'M' = [565, 1696, 848, 424, 212, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 435],
     [repeat(1000, 435),
      565 is 1000 - 435,
      collatz(565, [565, 1696, 848, 424, 212, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 435),
     rule(3),
     ['N' = 1000, 'I' = 435, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 435)]).
step(between(0, 999, 435), builtin, [], []).
step(565 is 1000 - 435, builtin, [], []).
step(collatzTrajectory(564, [564, 282, 141, 424, 212, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 564,
      'M' = [564, 282, 141, 424, 212, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 436],
     [repeat(1000, 436),
      564 is 1000 - 436,
      collatz(564, [564, 282, 141, 424, 212, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 436),
     rule(3),
     ['N' = 1000, 'I' = 436, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 436)]).
step(between(0, 999, 436), builtin, [], []).
step(564 is 1000 - 436, builtin, [], []).
step(collatz(564, [564, 282, 141, 424, 212, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 564,
      'J' = [282, 141, 424, 212, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 282],
     [564 > 1,
      0 is 564 mod 2,
      282 is 564 // 2,
      collatz(282, [282, 141, 424, 212, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(564 > 1, builtin, [], []).
step(0 is 564 mod 2, builtin, [], []).
step(282 is 564 // 2, builtin, [], []).
step(collatz(282, [282, 141, 424, 212, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 282,
      'J' = [141, 424, 212, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 141],
     [282 > 1,
      0 is 282 mod 2,
      141 is 282 // 2,
      collatz(141, [141, 424, 212, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(282 > 1, builtin, [], []).
step(0 is 282 mod 2, builtin, [], []).
step(141 is 282 // 2, builtin, [], []).
step(collatz(141, [141, 424, 212, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 141,
      'J' = [424, 212, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 423,
      'N1' = 424],
     [141 > 1,
      1 is 141 mod 2,
      423 is 3 * 141,
      424 is 423 + 1,
      collatz(424, [424, 212, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(141 > 1, builtin, [], []).
step(1 is 141 mod 2, builtin, [], []).
step(423 is 3 * 141, builtin, [], []).
step(424 is 423 + 1, builtin, [], []).
step(collatzTrajectory(563, [563, 1690, 845, 2536, 1268, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 563,
      'M' = [563, 1690, 845, 2536, 1268, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 437],
     [repeat(1000, 437),
      563 is 1000 - 437,
      collatz(563, [563, 1690, 845, 2536, 1268, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 437),
     rule(3),
     ['N' = 1000, 'I' = 437, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 437)]).
step(between(0, 999, 437), builtin, [], []).
step(563 is 1000 - 437, builtin, [], []).
step(collatzTrajectory(562, [562, 281, 844, 422, 211, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 562,
      'M' = [562, 281, 844, 422, 211, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 438],
     [repeat(1000, 438),
      562 is 1000 - 438,
      collatz(562, [562, 281, 844, 422, 211, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 438),
     rule(3),
     ['N' = 1000, 'I' = 438, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 438)]).
step(between(0, 999, 438), builtin, [], []).
step(562 is 1000 - 438, builtin, [], []).
step(collatzTrajectory(561, [561, 1684, 842, 421, 1264, 632, 316, 158, 79, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 561,
      'M' = [561, 1684, 842, 421, 1264, 632, 316, 158, 79, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 439],
     [repeat(1000, 439),
      561 is 1000 - 439,
      collatz(561, [561, 1684, 842, 421, 1264, 632, 316, 158, 79, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 439),
     rule(3),
     ['N' = 1000, 'I' = 439, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 439)]).
step(between(0, 999, 439), builtin, [], []).
step(561 is 1000 - 439, builtin, [], []).
step(collatz(561, [561, 1684, 842, 421, 1264, 632, 316, 158, 79, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 561,
      'J' = [1684, 842, 421, 1264, 632, 316, 158, 79, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 1683,
      'N1' = 1684],
     [561 > 1,
      1 is 561 mod 2,
      1683 is 3 * 561,
      1684 is 1683 + 1,
      collatz(1684, [1684, 842, 421, 1264, 632, 316, 158, 79, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(561 > 1, builtin, [], []).
step(1 is 561 mod 2, builtin, [], []).
step(1683 is 3 * 561, builtin, [], []).
step(1684 is 1683 + 1, builtin, [], []).
step(collatz(1684, [1684, 842, 421, 1264, 632, 316, 158, 79, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1684,
      'J' = [842, 421, 1264, 632, 316, 158, 79, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 842],
     [1684 > 1,
      0 is 1684 mod 2,
      842 is 1684 // 2,
      collatz(842, [842, 421, 1264, 632, 316, 158, 79, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1684 > 1, builtin, [], []).
step(0 is 1684 mod 2, builtin, [], []).
step(842 is 1684 // 2, builtin, [], []).
step(collatzTrajectory(560, [560, 280, 140, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 560,
      'M' = [560, 280, 140, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 440],
     [repeat(1000, 440),
      560 is 1000 - 440,
      collatz(560, [560, 280, 140, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 440),
     rule(3),
     ['N' = 1000, 'I' = 440, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 440)]).
step(between(0, 999, 440), builtin, [], []).
step(560 is 1000 - 440, builtin, [], []).
step(collatzTrajectory(559, [559, 1678, 839, 2518, 1259, 3778, 1889, 5668, 2834, 1417, 4252, 2126, 1063, 3190, 1595, 4786, 2393, 7180, 3590, 1795, 5386, 2693, 8080, 4040, 2020, 1010, 505, 1516, 758, 379, 1138, 569, 1708, 854, 427, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 559,
      'M' = [559, 1678, 839, 2518, 1259, 3778, 1889, 5668, 2834, 1417, 4252, 2126, 1063, 3190, 1595, 4786, 2393, 7180, 3590, 1795, 5386, 2693, 8080, 4040, 2020, 1010, 505, 1516, 758, 379, 1138, 569, 1708, 854, 427, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 441],
     [repeat(1000, 441),
      559 is 1000 - 441,
      collatz(559, [559, 1678, 839, 2518, 1259, 3778, 1889, 5668, 2834, 1417, 4252, 2126, 1063, 3190, 1595, 4786, 2393, 7180, 3590, 1795, 5386, 2693, 8080, 4040, 2020, 1010, 505, 1516, 758, 379, 1138, 569, 1708, 854, 427, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 441),
     rule(3),
     ['N' = 1000, 'I' = 441, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 441)]).
step(between(0, 999, 441), builtin, [], []).
step(559 is 1000 - 441, builtin, [], []).
step(collatzTrajectory(558, [558, 279, 838, 419, 1258, 629, 1888, 944, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 558,
      'M' = [558, 279, 838, 419, 1258, 629, 1888, 944, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 442],
     [repeat(1000, 442),
      558 is 1000 - 442,
      collatz(558, [558, 279, 838, 419, 1258, 629, 1888, 944, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 442),
     rule(3),
     ['N' = 1000, 'I' = 442, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 442)]).
step(between(0, 999, 442), builtin, [], []).
step(558 is 1000 - 442, builtin, [], []).
step(collatz(558, [558, 279, 838, 419, 1258, 629, 1888, 944, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 558,
      'J' = [279, 838, 419, 1258, 629, 1888, 944, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 279],
     [558 > 1,
      0 is 558 mod 2,
      279 is 558 // 2,
      collatz(279, [279, 838, 419, 1258, 629, 1888, 944, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(558 > 1, builtin, [], []).
step(0 is 558 mod 2, builtin, [], []).
step(279 is 558 // 2, builtin, [], []).
step(collatz(279, [279, 838, 419, 1258, 629, 1888, 944, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 279,
      'J' = [838, 419, 1258, 629, 1888, 944, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 837,
      'N1' = 838],
     [279 > 1,
      1 is 279 mod 2,
      837 is 3 * 279,
      838 is 837 + 1,
      collatz(838, [838, 419, 1258, 629, 1888, 944, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(279 > 1, builtin, [], []).
step(1 is 279 mod 2, builtin, [], []).
step(837 is 3 * 279, builtin, [], []).
step(838 is 837 + 1, builtin, [], []).
step(collatzTrajectory(557, [557, 1672, 836, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 557,
      'M' = [557, 1672, 836, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 443],
     [repeat(1000, 443),
      557 is 1000 - 443,
      collatz(557, [557, 1672, 836, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 443),
     rule(3),
     ['N' = 1000, 'I' = 443, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 443)]).
step(between(0, 999, 443), builtin, [], []).
step(557 is 1000 - 443, builtin, [], []).
step(collatzTrajectory(556, [556, 278, 139, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 556,
      'M' = [556, 278, 139, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 444],
     [repeat(1000, 444),
      556 is 1000 - 444,
      collatz(556, [556, 278, 139, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 444),
     rule(3),
     ['N' = 1000, 'I' = 444, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 444)]).
step(between(0, 999, 444), builtin, [], []).
step(556 is 1000 - 444, builtin, [], []).
step(collatzTrajectory(555, [555, 1666, 833, 2500, 1250, 625, 1876, 938, 469, 1408, 704, 352, 176, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 555,
      'M' = [555, 1666, 833, 2500, 1250, 625, 1876, 938, 469, 1408, 704, 352, 176, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 445],
     [repeat(1000, 445),
      555 is 1000 - 445,
      collatz(555, [555, 1666, 833, 2500, 1250, 625, 1876, 938, 469, 1408, 704, 352, 176, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 445),
     rule(3),
     ['N' = 1000, 'I' = 445, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 445)]).
step(between(0, 999, 445), builtin, [], []).
step(555 is 1000 - 445, builtin, [], []).
step(collatz(555, [555, 1666, 833, 2500, 1250, 625, 1876, 938, 469, 1408, 704, 352, 176, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 555,
      'J' = [1666, 833, 2500, 1250, 625, 1876, 938, 469, 1408, 704, 352, 176, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 1665,
      'N1' = 1666],
     [555 > 1,
      1 is 555 mod 2,
      1665 is 3 * 555,
      1666 is 1665 + 1,
      collatz(1666, [1666, 833, 2500, 1250, 625, 1876, 938, 469, 1408, 704, 352, 176, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(555 > 1, builtin, [], []).
step(1 is 555 mod 2, builtin, [], []).
step(1665 is 3 * 555, builtin, [], []).
step(1666 is 1665 + 1, builtin, [], []).
step(collatz(1666, [1666, 833, 2500, 1250, 625, 1876, 938, 469, 1408, 704, 352, 176, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1666,
      'J' = [833, 2500, 1250, 625, 1876, 938, 469, 1408, 704, 352, 176, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 833],
     [1666 > 1,
      0 is 1666 mod 2,
      833 is 1666 // 2,
      collatz(833, [833, 2500, 1250, 625, 1876, 938, 469, 1408, 704, 352, 176, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1666 > 1, builtin, [], []).
step(0 is 1666 mod 2, builtin, [], []).
step(833 is 1666 // 2, builtin, [], []).
step(collatzTrajectory(554, [554, 277, 832, 416, 208, 104, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 554,
      'M' = [554, 277, 832, 416, 208, 104, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 446],
     [repeat(1000, 446),
      554 is 1000 - 446,
      collatz(554, [554, 277, 832, 416, 208, 104, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 446),
     rule(3),
     ['N' = 1000, 'I' = 446, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 446)]).
step(between(0, 999, 446), builtin, [], []).
step(554 is 1000 - 446, builtin, [], []).
step(collatzTrajectory(553, [553, 1660, 830, 415, 1246, 623, 1870, 935, 2806, 1403, 4210, 2105, 6316, 3158, 1579, 4738, 2369, 7108, 3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 553,
      'M' = [553, 1660, 830, 415, 1246, 623, 1870, 935, 2806, 1403, 4210, 2105, 6316, 3158, 1579, 4738, 2369, 7108, 3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 447],
     [repeat(1000, 447),
      553 is 1000 - 447,
      collatz(553, [553, 1660, 830, 415, 1246, 623, 1870, 935, 2806, 1403, 4210, 2105, 6316, 3158, 1579, 4738, 2369, 7108, 3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 447),
     rule(3),
     ['N' = 1000, 'I' = 447, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 447)]).
step(between(0, 999, 447), builtin, [], []).
step(553 is 1000 - 447, builtin, [], []).
step(collatzTrajectory(552, [552, 276, 138, 69, 208, 104, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 552,
      'M' = [552, 276, 138, 69, 208, 104, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 448],
     [repeat(1000, 448),
      552 is 1000 - 448,
      collatz(552, [552, 276, 138, 69, 208, 104, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 448),
     rule(3),
     ['N' = 1000, 'I' = 448, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 448)]).
step(between(0, 999, 448), builtin, [], []).
step(552 is 1000 - 448, builtin, [], []).
step(collatz(552, [552, 276, 138, 69, 208, 104, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 552,
      'J' = [276, 138, 69, 208, 104, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 276],
     [552 > 1,
      0 is 552 mod 2,
      276 is 552 // 2,
      collatz(276, [276, 138, 69, 208, 104, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(552 > 1, builtin, [], []).
step(0 is 552 mod 2, builtin, [], []).
step(276 is 552 // 2, builtin, [], []).
step(collatz(276, [276, 138, 69, 208, 104, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 276,
      'J' = [138, 69, 208, 104, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 138],
     [276 > 1,
      0 is 276 mod 2,
      138 is 276 // 2,
      collatz(138, [138, 69, 208, 104, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(276 > 1, builtin, [], []).
step(0 is 276 mod 2, builtin, [], []).
step(138 is 276 // 2, builtin, [], []).
step(collatz(138, [138, 69, 208, 104, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 138, 'J' = [69, 208, 104, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1], 'N1' = 69],
     [138 > 1,
      0 is 138 mod 2,
      69 is 138 // 2,
      collatz(69, [69, 208, 104, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(138 > 1, builtin, [], []).
step(0 is 138 mod 2, builtin, [], []).
step(69 is 138 // 2, builtin, [], []).
step(collatz(69, [69, 208, 104, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 69,
      'J' = [208, 104, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 207,
      'N1' = 208],
     [69 > 1,
      1 is 69 mod 2,
      207 is 3 * 69,
      208 is 207 + 1,
      collatz(208, [208, 104, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(69 > 1, builtin, [], []).
step(1 is 69 mod 2, builtin, [], []).
step(207 is 3 * 69, builtin, [], []).
step(208 is 207 + 1, builtin, [], []).
step(collatzTrajectory(551, [551, 1654, 827, 2482, 1241, 3724, 1862, 931, 2794, 1397, 4192, 2096, 1048, 524, 262, 131, 394, 197, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 551,
      'M' = [551, 1654, 827, 2482, 1241, 3724, 1862, 931, 2794, 1397, 4192, 2096, 1048, 524, 262, 131, 394, 197, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 449],
     [repeat(1000, 449),
      551 is 1000 - 449,
      collatz(551, [551, 1654, 827, 2482, 1241, 3724, 1862, 931, 2794, 1397, 4192, 2096, 1048, 524, 262, 131, 394, 197, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 449),
     rule(3),
     ['N' = 1000, 'I' = 449, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 449)]).
step(between(0, 999, 449), builtin, [], []).
step(551 is 1000 - 449, builtin, [], []).
step(collatzTrajectory(550, [550, 275, 826, 413, 1240, 620, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 550,
      'M' = [550, 275, 826, 413, 1240, 620, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 450],
     [repeat(1000, 450),
      550 is 1000 - 450,
      collatz(550, [550, 275, 826, 413, 1240, 620, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 450),
     rule(3),
     ['N' = 1000, 'I' = 450, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 450)]).
step(between(0, 999, 450), builtin, [], []).
step(550 is 1000 - 450, builtin, [], []).
step(collatzTrajectory(549, [549, 1648, 824, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 549,
      'M' = [549, 1648, 824, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 451],
     [repeat(1000, 451),
      549 is 1000 - 451,
      collatz(549, [549, 1648, 824, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 451),
     rule(3),
     ['N' = 1000, 'I' = 451, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 451)]).
step(between(0, 999, 451), builtin, [], []).
step(549 is 1000 - 451, builtin, [], []).
step(collatz(549, [549, 1648, 824, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 549,
      'J' = [1648, 824, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 1647,
      'N1' = 1648],
     [549 > 1,
      1 is 549 mod 2,
      1647 is 3 * 549,
      1648 is 1647 + 1,
      collatz(1648, [1648, 824, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(549 > 1, builtin, [], []).
step(1 is 549 mod 2, builtin, [], []).
step(1647 is 3 * 549, builtin, [], []).
step(1648 is 1647 + 1, builtin, [], []).
step(collatz(1648, [1648, 824, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1648,
      'J' = [824, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 824],
     [1648 > 1,
      0 is 1648 mod 2,
      824 is 1648 // 2,
      collatz(824, [824, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1648 > 1, builtin, [], []).
step(0 is 1648 mod 2, builtin, [], []).
step(824 is 1648 // 2, builtin, [], []).
step(collatzTrajectory(548, [548, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 548,
      'M' = [548, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 452],
     [repeat(1000, 452),
      548 is 1000 - 452,
      collatz(548, [548, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 452),
     rule(3),
     ['N' = 1000, 'I' = 452, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 452)]).
step(between(0, 999, 452), builtin, [], []).
step(548 is 1000 - 452, builtin, [], []).
step(collatzTrajectory(547, [547, 1642, 821, 2464, 1232, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 547,
      'M' = [547, 1642, 821, 2464, 1232, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 453],
     [repeat(1000, 453),
      547 is 1000 - 453,
      collatz(547, [547, 1642, 821, 2464, 1232, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 453),
     rule(3),
     ['N' = 1000, 'I' = 453, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 453)]).
step(between(0, 999, 453), builtin, [], []).
step(547 is 1000 - 453, builtin, [], []).
step(collatzTrajectory(546, [546, 273, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 546,
      'M' = [546, 273, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 454],
     [repeat(1000, 454),
      546 is 1000 - 454,
      collatz(546, [546, 273, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 454),
     rule(3),
     ['N' = 1000, 'I' = 454, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 454)]).
step(between(0, 999, 454), builtin, [], []).
step(546 is 1000 - 454, builtin, [], []).
step(collatz(546, [546, 273, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 546,
      'J' = [273, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 273],
     [546 > 1,
      0 is 546 mod 2,
      273 is 546 // 2,
      collatz(273, [273, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(546 > 1, builtin, [], []).
step(0 is 546 mod 2, builtin, [], []).
step(273 is 546 // 2, builtin, [], []).
step(collatz(273, [273, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 273,
      'J' = [820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 819,
      'N1' = 820],
     [273 > 1,
      1 is 273 mod 2,
      819 is 3 * 273,
      820 is 819 + 1,
      collatz(820, [820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(273 > 1, builtin, [], []).
step(1 is 273 mod 2, builtin, [], []).
step(819 is 3 * 273, builtin, [], []).
step(820 is 819 + 1, builtin, [], []).
step(collatzTrajectory(545, [545, 1636, 818, 409, 1228, 614, 307, 922, 461, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 545,
      'M' = [545, 1636, 818, 409, 1228, 614, 307, 922, 461, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 455],
     [repeat(1000, 455),
      545 is 1000 - 455,
      collatz(545, [545, 1636, 818, 409, 1228, 614, 307, 922, 461, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 455),
     rule(3),
     ['N' = 1000, 'I' = 455, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 455)]).
step(between(0, 999, 455), builtin, [], []).
step(545 is 1000 - 455, builtin, [], []).
step(collatzTrajectory(544, [544, 272, 136, 68, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 544,
      'M' = [544, 272, 136, 68, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 456],
     [repeat(1000, 456),
      544 is 1000 - 456,
      collatz(544, [544, 272, 136, 68, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 456),
     rule(3),
     ['N' = 1000, 'I' = 456, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 456)]).
step(between(0, 999, 456), builtin, [], []).
step(544 is 1000 - 456, builtin, [], []).
step(collatzTrajectory(543, [543, 1630, 815, 2446, 1223, 3670, 1835, 5506, 2753, 8260, 4130, 2065, 6196, 3098, 1549, 4648, 2324, 1162, 581, 1744, 872, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 543,
      'M' = [543, 1630, 815, 2446, 1223, 3670, 1835, 5506, 2753, 8260, 4130, 2065, 6196, 3098, 1549, 4648, 2324, 1162, 581, 1744, 872, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 457],
     [repeat(1000, 457),
      543 is 1000 - 457,
      collatz(543, [543, 1630, 815, 2446, 1223, 3670, 1835, 5506, 2753, 8260, 4130, 2065, 6196, 3098, 1549, 4648, 2324, 1162, 581, 1744, 872, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 457),
     rule(3),
     ['N' = 1000, 'I' = 457, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 457)]).
step(between(0, 999, 457), builtin, [], []).
step(543 is 1000 - 457, builtin, [], []).
step(collatz(543, [543, 1630, 815, 2446, 1223, 3670, 1835, 5506, 2753, 8260, 4130, 2065, 6196, 3098, 1549, 4648, 2324, 1162, 581, 1744, 872, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 543,
      'J' = [1630, 815, 2446, 1223, 3670, 1835, 5506, 2753, 8260, 4130, 2065, 6196, 3098, 1549, 4648, 2324, 1162, 581, 1744, 872, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 1629,
      'N1' = 1630],
     [543 > 1,
      1 is 543 mod 2,
      1629 is 3 * 543,
      1630 is 1629 + 1,
      collatz(1630, [1630, 815, 2446, 1223, 3670, 1835, 5506, 2753, 8260, 4130, 2065, 6196, 3098, 1549, 4648, 2324, 1162, 581, 1744, 872, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(543 > 1, builtin, [], []).
step(1 is 543 mod 2, builtin, [], []).
step(1629 is 3 * 543, builtin, [], []).
step(1630 is 1629 + 1, builtin, [], []).
step(collatz(1630, [1630, 815, 2446, 1223, 3670, 1835, 5506, 2753, 8260, 4130, 2065, 6196, 3098, 1549, 4648, 2324, 1162, 581, 1744, 872, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1630,
      'J' = [815, 2446, 1223, 3670, 1835, 5506, 2753, 8260, 4130, 2065, 6196, 3098, 1549, 4648, 2324, 1162, 581, 1744, 872, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 815],
     [1630 > 1,
      0 is 1630 mod 2,
      815 is 1630 // 2,
      collatz(815, [815, 2446, 1223, 3670, 1835, 5506, 2753, 8260, 4130, 2065, 6196, 3098, 1549, 4648, 2324, 1162, 581, 1744, 872, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1630 > 1, builtin, [], []).
step(0 is 1630 mod 2, builtin, [], []).
step(815 is 1630 // 2, builtin, [], []).
step(collatzTrajectory(542, [542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 542,
      'M' = [542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 458],
     [repeat(1000, 458),
      542 is 1000 - 458,
      collatz(542, [542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 458),
     rule(3),
     ['N' = 1000, 'I' = 458, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 458)]).
step(between(0, 999, 458), builtin, [], []).
step(542 is 1000 - 458, builtin, [], []).
step(collatzTrajectory(541, [541, 1624, 812, 406, 203, 610, 305, 916, 458, 229, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 541,
      'M' = [541, 1624, 812, 406, 203, 610, 305, 916, 458, 229, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 459],
     [repeat(1000, 459),
      541 is 1000 - 459,
      collatz(541, [541, 1624, 812, 406, 203, 610, 305, 916, 458, 229, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 459),
     rule(3),
     ['N' = 1000, 'I' = 459, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 459)]).
step(between(0, 999, 459), builtin, [], []).
step(541 is 1000 - 459, builtin, [], []).
step(collatzTrajectory(540, [540, 270, 135, 406, 203, 610, 305, 916, 458, 229, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 540,
      'M' = [540, 270, 135, 406, 203, 610, 305, 916, 458, 229, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 460],
     [repeat(1000, 460),
      540 is 1000 - 460,
      collatz(540, [540, 270, 135, 406, 203, 610, 305, 916, 458, 229, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 460),
     rule(3),
     ['N' = 1000, 'I' = 460, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 460)]).
step(between(0, 999, 460), builtin, [], []).
step(540 is 1000 - 460, builtin, [], []).
step(collatz(540, [540, 270, 135, 406, 203, 610, 305, 916, 458, 229, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 540,
      'J' = [270, 135, 406, 203, 610, 305, 916, 458, 229, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 270],
     [540 > 1,
      0 is 540 mod 2,
      270 is 540 // 2,
      collatz(270, [270, 135, 406, 203, 610, 305, 916, 458, 229, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(540 > 1, builtin, [], []).
step(0 is 540 mod 2, builtin, [], []).
step(270 is 540 // 2, builtin, [], []).
step(collatz(270, [270, 135, 406, 203, 610, 305, 916, 458, 229, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 270,
      'J' = [135, 406, 203, 610, 305, 916, 458, 229, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 135],
     [270 > 1,
      0 is 270 mod 2,
      135 is 270 // 2,
      collatz(135, [135, 406, 203, 610, 305, 916, 458, 229, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(270 > 1, builtin, [], []).
step(0 is 270 mod 2, builtin, [], []).
step(135 is 270 // 2, builtin, [], []).
step(collatz(135, [135, 406, 203, 610, 305, 916, 458, 229, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 135,
      'J' = [406, 203, 610, 305, 916, 458, 229, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 405,
      'N1' = 406],
     [135 > 1,
      1 is 135 mod 2,
      405 is 3 * 135,
      406 is 405 + 1,
      collatz(406, [406, 203, 610, 305, 916, 458, 229, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(135 > 1, builtin, [], []).
step(1 is 135 mod 2, builtin, [], []).
step(405 is 3 * 135, builtin, [], []).
step(406 is 405 + 1, builtin, [], []).
step(collatzTrajectory(539, [539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 539,
      'M' = [539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 461],
     [repeat(1000, 461),
      539 is 1000 - 461,
      collatz(539, [539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 461),
     rule(3),
     ['N' = 1000, 'I' = 461, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 461)]).
step(between(0, 999, 461), builtin, [], []).
step(539 is 1000 - 461, builtin, [], []).
step(collatzTrajectory(538, [538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 538,
      'M' = [538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 462],
     [repeat(1000, 462),
      538 is 1000 - 462,
      collatz(538, [538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 462),
     rule(3),
     ['N' = 1000, 'I' = 462, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 462)]).
step(between(0, 999, 462), builtin, [], []).
step(538 is 1000 - 462, builtin, [], []).
step(collatzTrajectory(537, [537, 1612, 806, 403, 1210, 605, 1816, 908, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 537,
      'M' = [537, 1612, 806, 403, 1210, 605, 1816, 908, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1],
      'N0' = 463],
     [repeat(1000, 463),
      537 is 1000 - 463,
      collatz(537, [537, 1612, 806, 403, 1210, 605, 1816, 908, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1])]).
step(repeat(1000, 463),
     rule(3),
     ['N' = 1000, 'I' = 463, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 463)]).
step(between(0, 999, 463), builtin, [], []).
step(537 is 1000 - 463, builtin, [], []).
step(collatz(537, [537, 1612, 806, 403, 1210, 605, 1816, 908, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 537,
      'J' = [1612, 806, 403, 1210, 605, 1816, 908, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1],
      'T' = 1611,
      'N1' = 1612],
     [537 > 1,
      1 is 537 mod 2,
      1611 is 3 * 537,
      1612 is 1611 + 1,
      collatz(1612, [1612, 806, 403, 1210, 605, 1816, 908, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1])]).
step(537 > 1, builtin, [], []).
step(1 is 537 mod 2, builtin, [], []).
step(1611 is 3 * 537, builtin, [], []).
step(1612 is 1611 + 1, builtin, [], []).
step(collatz(1612, [1612, 806, 403, 1210, 605, 1816, 908, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1612,
      'J' = [806, 403, 1210, 605, 1816, 908, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1],
      'N1' = 806],
     [1612 > 1,
      0 is 1612 mod 2,
      806 is 1612 // 2,
      collatz(806, [806, 403, 1210, 605, 1816, 908, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1])]).
step(1612 > 1, builtin, [], []).
step(0 is 1612 mod 2, builtin, [], []).
step(806 is 1612 // 2, builtin, [], []).
step(collatzTrajectory(536, [536, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 536,
      'M' = [536, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 464],
     [repeat(1000, 464),
      536 is 1000 - 464,
      collatz(536, [536, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 464),
     rule(3),
     ['N' = 1000, 'I' = 464, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 464)]).
step(between(0, 999, 464), builtin, [], []).
step(536 is 1000 - 464, builtin, [], []).
step(collatzTrajectory(535, [535, 1606, 803, 2410, 1205, 3616, 1808, 904, 452, 226, 113, 340, 170, 85, 256, 128, 64, 32, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 535,
      'M' = [535, 1606, 803, 2410, 1205, 3616, 1808, 904, 452, 226, 113, 340, 170, 85, 256, 128, 64, 32, 16, 8, 4, 2, 1],
      'N0' = 465],
     [repeat(1000, 465),
      535 is 1000 - 465,
      collatz(535, [535, 1606, 803, 2410, 1205, 3616, 1808, 904, 452, 226, 113, 340, 170, 85, 256, 128, 64, 32, 16, 8, 4, 2, 1])]).
step(repeat(1000, 465),
     rule(3),
     ['N' = 1000, 'I' = 465, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 465)]).
step(between(0, 999, 465), builtin, [], []).
step(535 is 1000 - 465, builtin, [], []).
step(collatzTrajectory(534, [534, 267, 802, 401, 1204, 602, 301, 904, 452, 226, 113, 340, 170, 85, 256, 128, 64, 32, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 534,
      'M' = [534, 267, 802, 401, 1204, 602, 301, 904, 452, 226, 113, 340, 170, 85, 256, 128, 64, 32, 16, 8, 4, 2, 1],
      'N0' = 466],
     [repeat(1000, 466),
      534 is 1000 - 466,
      collatz(534, [534, 267, 802, 401, 1204, 602, 301, 904, 452, 226, 113, 340, 170, 85, 256, 128, 64, 32, 16, 8, 4, 2, 1])]).
step(repeat(1000, 466),
     rule(3),
     ['N' = 1000, 'I' = 466, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 466)]).
step(between(0, 999, 466), builtin, [], []).
step(534 is 1000 - 466, builtin, [], []).
step(collatz(534, [534, 267, 802, 401, 1204, 602, 301, 904, 452, 226, 113, 340, 170, 85, 256, 128, 64, 32, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 534,
      'J' = [267, 802, 401, 1204, 602, 301, 904, 452, 226, 113, 340, 170, 85, 256, 128, 64, 32, 16, 8, 4, 2, 1],
      'N1' = 267],
     [534 > 1,
      0 is 534 mod 2,
      267 is 534 // 2,
      collatz(267, [267, 802, 401, 1204, 602, 301, 904, 452, 226, 113, 340, 170, 85, 256, 128, 64, 32, 16, 8, 4, 2, 1])]).
step(534 > 1, builtin, [], []).
step(0 is 534 mod 2, builtin, [], []).
step(267 is 534 // 2, builtin, [], []).
step(collatz(267, [267, 802, 401, 1204, 602, 301, 904, 452, 226, 113, 340, 170, 85, 256, 128, 64, 32, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 267,
      'J' = [802, 401, 1204, 602, 301, 904, 452, 226, 113, 340, 170, 85, 256, 128, 64, 32, 16, 8, 4, 2, 1],
      'T' = 801,
      'N1' = 802],
     [267 > 1,
      1 is 267 mod 2,
      801 is 3 * 267,
      802 is 801 + 1,
      collatz(802, [802, 401, 1204, 602, 301, 904, 452, 226, 113, 340, 170, 85, 256, 128, 64, 32, 16, 8, 4, 2, 1])]).
step(267 > 1, builtin, [], []).
step(1 is 267 mod 2, builtin, [], []).
step(801 is 3 * 267, builtin, [], []).
step(802 is 801 + 1, builtin, [], []).
step(collatzTrajectory(533, [533, 1600, 800, 400, 200, 100, 50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 533,
      'M' = [533, 1600, 800, 400, 200, 100, 50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 467],
     [repeat(1000, 467),
      533 is 1000 - 467,
      collatz(533, [533, 1600, 800, 400, 200, 100, 50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 467),
     rule(3),
     ['N' = 1000, 'I' = 467, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 467)]).
step(between(0, 999, 467), builtin, [], []).
step(533 is 1000 - 467, builtin, [], []).
step(collatzTrajectory(532, [532, 266, 133, 400, 200, 100, 50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 532,
      'M' = [532, 266, 133, 400, 200, 100, 50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 468],
     [repeat(1000, 468),
      532 is 1000 - 468,
      collatz(532, [532, 266, 133, 400, 200, 100, 50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 468),
     rule(3),
     ['N' = 1000, 'I' = 468, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 468)]).
step(between(0, 999, 468), builtin, [], []).
step(532 is 1000 - 468, builtin, [], []).
step(collatzTrajectory(531, [531, 1594, 797, 2392, 1196, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 531,
      'M' = [531, 1594, 797, 2392, 1196, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 469],
     [repeat(1000, 469),
      531 is 1000 - 469,
      collatz(531, [531, 1594, 797, 2392, 1196, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 469),
     rule(3),
     ['N' = 1000, 'I' = 469, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 469)]).
step(between(0, 999, 469), builtin, [], []).
step(531 is 1000 - 469, builtin, [], []).
step(collatz(531, [531, 1594, 797, 2392, 1196, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 531,
      'J' = [1594, 797, 2392, 1196, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 1593,
      'N1' = 1594],
     [531 > 1,
      1 is 531 mod 2,
      1593 is 3 * 531,
      1594 is 1593 + 1,
      collatz(1594, [1594, 797, 2392, 1196, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(531 > 1, builtin, [], []).
step(1 is 531 mod 2, builtin, [], []).
step(1593 is 3 * 531, builtin, [], []).
step(1594 is 1593 + 1, builtin, [], []).
step(collatzTrajectory(530, [530, 265, 796, 398, 199, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 530,
      'M' = [530, 265, 796, 398, 199, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 470],
     [repeat(1000, 470),
      530 is 1000 - 470,
      collatz(530, [530, 265, 796, 398, 199, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 470),
     rule(3),
     ['N' = 1000, 'I' = 470, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 470)]).
step(between(0, 999, 470), builtin, [], []).
step(530 is 1000 - 470, builtin, [], []).
step(collatzTrajectory(529, [529, 1588, 794, 397, 1192, 596, 298, 149, 448, 224, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 529,
      'M' = [529, 1588, 794, 397, 1192, 596, 298, 149, 448, 224, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 471],
     [repeat(1000, 471),
      529 is 1000 - 471,
      collatz(529, [529, 1588, 794, 397, 1192, 596, 298, 149, 448, 224, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 471),
     rule(3),
     ['N' = 1000, 'I' = 471, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 471)]).
step(between(0, 999, 471), builtin, [], []).
step(529 is 1000 - 471, builtin, [], []).
step(collatzTrajectory(528, [528, 264, 132, 66, 33, 100, 50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 528,
      'M' = [528, 264, 132, 66, 33, 100, 50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 472],
     [repeat(1000, 472),
      528 is 1000 - 472,
      collatz(528, [528, 264, 132, 66, 33, 100, 50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 472),
     rule(3),
     ['N' = 1000, 'I' = 472, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 472)]).
step(between(0, 999, 472), builtin, [], []).
step(528 is 1000 - 472, builtin, [], []).
step(collatz(528, [528, 264, 132, 66, 33, 100, 50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 528,
      'J' = [264, 132, 66, 33, 100, 50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 264],
     [528 > 1,
      0 is 528 mod 2,
      264 is 528 // 2,
      collatz(264, [264, 132, 66, 33, 100, 50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(528 > 1, builtin, [], []).
step(0 is 528 mod 2, builtin, [], []).
step(264 is 528 // 2, builtin, [], []).
step(collatz(264, [264, 132, 66, 33, 100, 50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 264,
      'J' = [132, 66, 33, 100, 50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 132],
     [264 > 1,
      0 is 264 mod 2,
      132 is 264 // 2,
      collatz(132, [132, 66, 33, 100, 50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(264 > 1, builtin, [], []).
step(0 is 264 mod 2, builtin, [], []).
step(132 is 264 // 2, builtin, [], []).
step(collatz(132, [132, 66, 33, 100, 50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 132,
      'J' = [66, 33, 100, 50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 66],
     [132 > 1,
      0 is 132 mod 2,
      66 is 132 // 2,
      collatz(66, [66, 33, 100, 50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(132 > 1, builtin, [], []).
step(0 is 132 mod 2, builtin, [], []).
step(66 is 132 // 2, builtin, [], []).
step(collatz(66, [66, 33, 100, 50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 66,
      'J' = [33, 100, 50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 33],
     [66 > 1,
      0 is 66 mod 2,
      33 is 66 // 2,
      collatz(33, [33, 100, 50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(66 > 1, builtin, [], []).
step(0 is 66 mod 2, builtin, [], []).
step(33 is 66 // 2, builtin, [], []).
step(collatz(33, [33, 100, 50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 33,
      'J' = [100, 50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 99,
      'N1' = 100],
     [33 > 1,
      1 is 33 mod 2,
      99 is 3 * 33,
      100 is 99 + 1,
      collatz(100, [100, 50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(33 > 1, builtin, [], []).
step(1 is 33 mod 2, builtin, [], []).
step(99 is 3 * 33, builtin, [], []).
step(100 is 99 + 1, builtin, [], []).
step(collatzTrajectory(527, [527, 1582, 791, 2374, 1187, 3562, 1781, 5344, 2672, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 527,
      'M' = [527, 1582, 791, 2374, 1187, 3562, 1781, 5344, 2672, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 473],
     [repeat(1000, 473),
      527 is 1000 - 473,
      collatz(527, [527, 1582, 791, 2374, 1187, 3562, 1781, 5344, 2672, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 473),
     rule(3),
     ['N' = 1000, 'I' = 473, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 473)]).
step(between(0, 999, 473), builtin, [], []).
step(527 is 1000 - 473, builtin, [], []).
step(collatzTrajectory(526, [526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 526,
      'M' = [526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 474],
     [repeat(1000, 474),
      526 is 1000 - 474,
      collatz(526, [526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 474),
     rule(3),
     ['N' = 1000, 'I' = 474, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 474)]).
step(between(0, 999, 474), builtin, [], []).
step(526 is 1000 - 474, builtin, [], []).
step(collatzTrajectory(525, [525, 1576, 788, 394, 197, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 525,
      'M' = [525, 1576, 788, 394, 197, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 475],
     [repeat(1000, 475),
      525 is 1000 - 475,
      collatz(525, [525, 1576, 788, 394, 197, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 475),
     rule(3),
     ['N' = 1000, 'I' = 475, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 475)]).
step(between(0, 999, 475), builtin, [], []).
step(525 is 1000 - 475, builtin, [], []).
step(collatz(525, [525, 1576, 788, 394, 197, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 525,
      'J' = [1576, 788, 394, 197, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 1575,
      'N1' = 1576],
     [525 > 1,
      1 is 525 mod 2,
      1575 is 3 * 525,
      1576 is 1575 + 1,
      collatz(1576, [1576, 788, 394, 197, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(525 > 1, builtin, [], []).
step(1 is 525 mod 2, builtin, [], []).
step(1575 is 3 * 525, builtin, [], []).
step(1576 is 1575 + 1, builtin, [], []).
step(collatz(1576, [1576, 788, 394, 197, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1576,
      'J' = [788, 394, 197, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 788],
     [1576 > 1,
      0 is 1576 mod 2,
      788 is 1576 // 2,
      collatz(788, [788, 394, 197, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1576 > 1, builtin, [], []).
step(0 is 1576 mod 2, builtin, [], []).
step(788 is 1576 // 2, builtin, [], []).
step(collatzTrajectory(524, [524, 262, 131, 394, 197, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 524,
      'M' = [524, 262, 131, 394, 197, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 476],
     [repeat(1000, 476),
      524 is 1000 - 476,
      collatz(524, [524, 262, 131, 394, 197, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 476),
     rule(3),
     ['N' = 1000, 'I' = 476, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 476)]).
step(between(0, 999, 476), builtin, [], []).
step(524 is 1000 - 476, builtin, [], []).
step(collatzTrajectory(523, [523, 1570, 785, 2356, 1178, 589, 1768, 884, 442, 221, 664, 332, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 523,
      'M' = [523, 1570, 785, 2356, 1178, 589, 1768, 884, 442, 221, 664, 332, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 477],
     [repeat(1000, 477),
      523 is 1000 - 477,
      collatz(523, [523, 1570, 785, 2356, 1178, 589, 1768, 884, 442, 221, 664, 332, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 477),
     rule(3),
     ['N' = 1000, 'I' = 477, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 477)]).
step(between(0, 999, 477), builtin, [], []).
step(523 is 1000 - 477, builtin, [], []).
step(collatzTrajectory(522, [522, 261, 784, 392, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 522,
      'M' = [522, 261, 784, 392, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 478],
     [repeat(1000, 478),
      522 is 1000 - 478,
      collatz(522, [522, 261, 784, 392, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 478),
     rule(3),
     ['N' = 1000, 'I' = 478, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 478)]).
step(between(0, 999, 478), builtin, [], []).
step(522 is 1000 - 478, builtin, [], []).
step(collatz(522, [522, 261, 784, 392, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 522,
      'J' = [261, 784, 392, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 261],
     [522 > 1,
      0 is 522 mod 2,
      261 is 522 // 2,
      collatz(261, [261, 784, 392, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(522 > 1, builtin, [], []).
step(0 is 522 mod 2, builtin, [], []).
step(261 is 522 // 2, builtin, [], []).
step(collatz(261, [261, 784, 392, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 261,
      'J' = [784, 392, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 783,
      'N1' = 784],
     [261 > 1,
      1 is 261 mod 2,
      783 is 3 * 261,
      784 is 783 + 1,
      collatz(784, [784, 392, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(261 > 1, builtin, [], []).
step(1 is 261 mod 2, builtin, [], []).
step(783 is 3 * 261, builtin, [], []).
step(784 is 783 + 1, builtin, [], []).
step(collatzTrajectory(521, [521, 1564, 782, 391, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 521,
      'M' = [521, 1564, 782, 391, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 479],
     [repeat(1000, 479),
      521 is 1000 - 479,
      collatz(521, [521, 1564, 782, 391, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 479),
     rule(3),
     ['N' = 1000, 'I' = 479, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 479)]).
step(between(0, 999, 479), builtin, [], []).
step(521 is 1000 - 479, builtin, [], []).
step(collatzTrajectory(520, [520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 520,
      'M' = [520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 480],
     [repeat(1000, 480),
      520 is 1000 - 480,
      collatz(520, [520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 480),
     rule(3),
     ['N' = 1000, 'I' = 480, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 480)]).
step(between(0, 999, 480), builtin, [], []).
step(520 is 1000 - 480, builtin, [], []).
step(collatzTrajectory(519, [519, 1558, 779, 2338, 1169, 3508, 1754, 877, 2632, 1316, 658, 329, 988, 494, 247, 742, 371, 1114, 557, 1672, 836, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 519,
      'M' = [519, 1558, 779, 2338, 1169, 3508, 1754, 877, 2632, 1316, 658, 329, 988, 494, 247, 742, 371, 1114, 557, 1672, 836, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 481],
     [repeat(1000, 481),
      519 is 1000 - 481,
      collatz(519, [519, 1558, 779, 2338, 1169, 3508, 1754, 877, 2632, 1316, 658, 329, 988, 494, 247, 742, 371, 1114, 557, 1672, 836, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 481),
     rule(3),
     ['N' = 1000, 'I' = 481, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 481)]).
step(between(0, 999, 481), builtin, [], []).
step(519 is 1000 - 481, builtin, [], []).
step(collatz(519, [519, 1558, 779, 2338, 1169, 3508, 1754, 877, 2632, 1316, 658, 329, 988, 494, 247, 742, 371, 1114, 557, 1672, 836, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 519,
      'J' = [1558, 779, 2338, 1169, 3508, 1754, 877, 2632, 1316, 658, 329, 988, 494, 247, 742, 371, 1114, 557, 1672, 836, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 1557,
      'N1' = 1558],
     [519 > 1,
      1 is 519 mod 2,
      1557 is 3 * 519,
      1558 is 1557 + 1,
      collatz(1558, [1558, 779, 2338, 1169, 3508, 1754, 877, 2632, 1316, 658, 329, 988, 494, 247, 742, 371, 1114, 557, 1672, 836, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(519 > 1, builtin, [], []).
step(1 is 519 mod 2, builtin, [], []).
step(1557 is 3 * 519, builtin, [], []).
step(1558 is 1557 + 1, builtin, [], []).
step(collatz(1558, [1558, 779, 2338, 1169, 3508, 1754, 877, 2632, 1316, 658, 329, 988, 494, 247, 742, 371, 1114, 557, 1672, 836, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1558,
      'J' = [779, 2338, 1169, 3508, 1754, 877, 2632, 1316, 658, 329, 988, 494, 247, 742, 371, 1114, 557, 1672, 836, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 779],
     [1558 > 1,
      0 is 1558 mod 2,
      779 is 1558 // 2,
      collatz(779, [779, 2338, 1169, 3508, 1754, 877, 2632, 1316, 658, 329, 988, 494, 247, 742, 371, 1114, 557, 1672, 836, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1558 > 1, builtin, [], []).
step(0 is 1558 mod 2, builtin, [], []).
step(779 is 1558 // 2, builtin, [], []).
step(collatzTrajectory(518, [518, 259, 778, 389, 1168, 584, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 518,
      'M' = [518, 259, 778, 389, 1168, 584, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 482],
     [repeat(1000, 482),
      518 is 1000 - 482,
      collatz(518, [518, 259, 778, 389, 1168, 584, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 482),
     rule(3),
     ['N' = 1000, 'I' = 482, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 482)]).
step(between(0, 999, 482), builtin, [], []).
step(518 is 1000 - 482, builtin, [], []).
step(collatzTrajectory(517, [517, 1552, 776, 388, 194, 97, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 517,
      'M' = [517, 1552, 776, 388, 194, 97, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 483],
     [repeat(1000, 483),
      517 is 1000 - 483,
      collatz(517, [517, 1552, 776, 388, 194, 97, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 483),
     rule(3),
     ['N' = 1000, 'I' = 483, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 483)]).
step(between(0, 999, 483), builtin, [], []).
step(517 is 1000 - 483, builtin, [], []).
step(collatzTrajectory(516, [516, 258, 129, 388, 194, 97, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 516,
      'M' = [516, 258, 129, 388, 194, 97, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 484],
     [repeat(1000, 484),
      516 is 1000 - 484,
      collatz(516, [516, 258, 129, 388, 194, 97, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 484),
     rule(3),
     ['N' = 1000, 'I' = 484, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 484)]).
step(between(0, 999, 484), builtin, [], []).
step(516 is 1000 - 484, builtin, [], []).
step(collatz(516, [516, 258, 129, 388, 194, 97, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 516,
      'J' = [258, 129, 388, 194, 97, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 258],
     [516 > 1,
      0 is 516 mod 2,
      258 is 516 // 2,
      collatz(258, [258, 129, 388, 194, 97, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(516 > 1, builtin, [], []).
step(0 is 516 mod 2, builtin, [], []).
step(258 is 516 // 2, builtin, [], []).
step(collatz(258, [258, 129, 388, 194, 97, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 258,
      'J' = [129, 388, 194, 97, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 129],
     [258 > 1,
      0 is 258 mod 2,
      129 is 258 // 2,
      collatz(129, [129, 388, 194, 97, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(258 > 1, builtin, [], []).
step(0 is 258 mod 2, builtin, [], []).
step(129 is 258 // 2, builtin, [], []).
step(collatz(129, [129, 388, 194, 97, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 129,
      'J' = [388, 194, 97, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 387,
      'N1' = 388],
     [129 > 1,
      1 is 129 mod 2,
      387 is 3 * 129,
      388 is 387 + 1,
      collatz(388, [388, 194, 97, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(129 > 1, builtin, [], []).
step(1 is 129 mod 2, builtin, [], []).
step(387 is 3 * 129, builtin, [], []).
step(388 is 387 + 1, builtin, [], []).
step(collatzTrajectory(515, [515, 1546, 773, 2320, 1160, 580, 290, 145, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 515,
      'M' = [515, 1546, 773, 2320, 1160, 580, 290, 145, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 485],
     [repeat(1000, 485),
      515 is 1000 - 485,
      collatz(515, [515, 1546, 773, 2320, 1160, 580, 290, 145, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 485),
     rule(3),
     ['N' = 1000, 'I' = 485, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 485)]).
step(between(0, 999, 485), builtin, [], []).
step(515 is 1000 - 485, builtin, [], []).
step(collatzTrajectory(514, [514, 257, 772, 386, 193, 580, 290, 145, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 514,
      'M' = [514, 257, 772, 386, 193, 580, 290, 145, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 486],
     [repeat(1000, 486),
      514 is 1000 - 486,
      collatz(514, [514, 257, 772, 386, 193, 580, 290, 145, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 486),
     rule(3),
     ['N' = 1000, 'I' = 486, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 486)]).
step(between(0, 999, 486), builtin, [], []).
step(514 is 1000 - 486, builtin, [], []).
step(collatzTrajectory(513, [513, 1540, 770, 385, 1156, 578, 289, 868, 434, 217, 652, 326, 163, 490, 245, 736, 368, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 513,
      'M' = [513, 1540, 770, 385, 1156, 578, 289, 868, 434, 217, 652, 326, 163, 490, 245, 736, 368, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 487],
     [repeat(1000, 487),
      513 is 1000 - 487,
      collatz(513, [513, 1540, 770, 385, 1156, 578, 289, 868, 434, 217, 652, 326, 163, 490, 245, 736, 368, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 487),
     rule(3),
     ['N' = 1000, 'I' = 487, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 487)]).
step(between(0, 999, 487), builtin, [], []).
step(513 is 1000 - 487, builtin, [], []).
step(collatz(513, [513, 1540, 770, 385, 1156, 578, 289, 868, 434, 217, 652, 326, 163, 490, 245, 736, 368, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 513,
      'J' = [1540, 770, 385, 1156, 578, 289, 868, 434, 217, 652, 326, 163, 490, 245, 736, 368, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 1539,
      'N1' = 1540],
     [513 > 1,
      1 is 513 mod 2,
      1539 is 3 * 513,
      1540 is 1539 + 1,
      collatz(1540, [1540, 770, 385, 1156, 578, 289, 868, 434, 217, 652, 326, 163, 490, 245, 736, 368, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(513 > 1, builtin, [], []).
step(1 is 513 mod 2, builtin, [], []).
step(1539 is 3 * 513, builtin, [], []).
step(1540 is 1539 + 1, builtin, [], []).
step(collatz(1540, [1540, 770, 385, 1156, 578, 289, 868, 434, 217, 652, 326, 163, 490, 245, 736, 368, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1540,
      'J' = [770, 385, 1156, 578, 289, 868, 434, 217, 652, 326, 163, 490, 245, 736, 368, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 770],
     [1540 > 1,
      0 is 1540 mod 2,
      770 is 1540 // 2,
      collatz(770, [770, 385, 1156, 578, 289, 868, 434, 217, 652, 326, 163, 490, 245, 736, 368, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1540 > 1, builtin, [], []).
step(0 is 1540 mod 2, builtin, [], []).
step(770 is 1540 // 2, builtin, [], []).
step(collatzTrajectory(512, [512, 256, 128, 64, 32, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 512, 'M' = [512, 256, 128, 64, 32, 16, 8, 4, 2, 1], 'N0' = 488],
     [repeat(1000, 488),
      512 is 1000 - 488,
      collatz(512, [512, 256, 128, 64, 32, 16, 8, 4, 2, 1])]).
step(repeat(1000, 488),
     rule(3),
     ['N' = 1000, 'I' = 488, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 488)]).
step(between(0, 999, 488), builtin, [], []).
step(512 is 1000 - 488, builtin, [], []).
step(collatzTrajectory(511, [511, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 511,
      'M' = [511, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 489],
     [repeat(1000, 489),
      511 is 1000 - 489,
      collatz(511, [511, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 489),
     rule(3),
     ['N' = 1000, 'I' = 489, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 489)]).
step(between(0, 999, 489), builtin, [], []).
step(511 is 1000 - 489, builtin, [], []).
step(collatzTrajectory(510, [510, 255, 766, 383, 1150, 575, 1726, 863, 2590, 1295, 3886, 1943, 5830, 2915, 8746, 4373, 13120, 6560, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 510,
      'M' = [510, 255, 766, 383, 1150, 575, 1726, 863, 2590, 1295, 3886, 1943, 5830, 2915, 8746, 4373, 13120, 6560, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 490],
     [repeat(1000, 490),
      510 is 1000 - 490,
      collatz(510, [510, 255, 766, 383, 1150, 575, 1726, 863, 2590, 1295, 3886, 1943, 5830, 2915, 8746, 4373, 13120, 6560, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 490),
     rule(3),
     ['N' = 1000, 'I' = 490, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 490)]).
step(between(0, 999, 490), builtin, [], []).
step(510 is 1000 - 490, builtin, [], []).
step(collatz(510, [510, 255, 766, 383, 1150, 575, 1726, 863, 2590, 1295, 3886, 1943, 5830, 2915, 8746, 4373, 13120, 6560, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 510,
      'J' = [255, 766, 383, 1150, 575, 1726, 863, 2590, 1295, 3886, 1943, 5830, 2915, 8746, 4373, 13120, 6560, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 255],
     [510 > 1,
      0 is 510 mod 2,
      255 is 510 // 2,
      collatz(255, [255, 766, 383, 1150, 575, 1726, 863, 2590, 1295, 3886, 1943, 5830, 2915, 8746, 4373, 13120, 6560, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(510 > 1, builtin, [], []).
step(0 is 510 mod 2, builtin, [], []).
step(255 is 510 // 2, builtin, [], []).
step(collatz(255, [255, 766, 383, 1150, 575, 1726, 863, 2590, 1295, 3886, 1943, 5830, 2915, 8746, 4373, 13120, 6560, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 255,
      'J' = [766, 383, 1150, 575, 1726, 863, 2590, 1295, 3886, 1943, 5830, 2915, 8746, 4373, 13120, 6560, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 765,
      'N1' = 766],
     [255 > 1,
      1 is 255 mod 2,
      765 is 3 * 255,
      766 is 765 + 1,
      collatz(766, [766, 383, 1150, 575, 1726, 863, 2590, 1295, 3886, 1943, 5830, 2915, 8746, 4373, 13120, 6560, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(255 > 1, builtin, [], []).
step(1 is 255 mod 2, builtin, [], []).
step(765 is 3 * 255, builtin, [], []).
step(766 is 765 + 1, builtin, [], []).
step(collatzTrajectory(509, [509, 1528, 764, 382, 191, 574, 287, 862, 431, 1294, 647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 509,
      'M' = [509, 1528, 764, 382, 191, 574, 287, 862, 431, 1294, 647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 491],
     [repeat(1000, 491),
      509 is 1000 - 491,
      collatz(509, [509, 1528, 764, 382, 191, 574, 287, 862, 431, 1294, 647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 491),
     rule(3),
     ['N' = 1000, 'I' = 491, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 491)]).
step(between(0, 999, 491), builtin, [], []).
step(509 is 1000 - 491, builtin, [], []).
step(collatzTrajectory(508, [508, 254, 127, 382, 191, 574, 287, 862, 431, 1294, 647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 508,
      'M' = [508, 254, 127, 382, 191, 574, 287, 862, 431, 1294, 647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 492],
     [repeat(1000, 492),
      508 is 1000 - 492,
      collatz(508, [508, 254, 127, 382, 191, 574, 287, 862, 431, 1294, 647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 492),
     rule(3),
     ['N' = 1000, 'I' = 492, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 492)]).
step(between(0, 999, 492), builtin, [], []).
step(508 is 1000 - 492, builtin, [], []).
step(collatzTrajectory(507, [507, 1522, 761, 2284, 1142, 571, 1714, 857, 2572, 1286, 643, 1930, 965, 2896, 1448, 724, 362, 181, 544, 272, 136, 68, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 507,
      'M' = [507, 1522, 761, 2284, 1142, 571, 1714, 857, 2572, 1286, 643, 1930, 965, 2896, 1448, 724, 362, 181, 544, 272, 136, 68, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 493],
     [repeat(1000, 493),
      507 is 1000 - 493,
      collatz(507, [507, 1522, 761, 2284, 1142, 571, 1714, 857, 2572, 1286, 643, 1930, 965, 2896, 1448, 724, 362, 181, 544, 272, 136, 68, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 493),
     rule(3),
     ['N' = 1000, 'I' = 493, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 493)]).
step(between(0, 999, 493), builtin, [], []).
step(507 is 1000 - 493, builtin, [], []).
step(collatz(507, [507, 1522, 761, 2284, 1142, 571, 1714, 857, 2572, 1286, 643, 1930, 965, 2896, 1448, 724, 362, 181, 544, 272, 136, 68, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 507,
      'J' = [1522, 761, 2284, 1142, 571, 1714, 857, 2572, 1286, 643, 1930, 965, 2896, 1448, 724, 362, 181, 544, 272, 136, 68, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 1521,
      'N1' = 1522],
     [507 > 1,
      1 is 507 mod 2,
      1521 is 3 * 507,
      1522 is 1521 + 1,
      collatz(1522, [1522, 761, 2284, 1142, 571, 1714, 857, 2572, 1286, 643, 1930, 965, 2896, 1448, 724, 362, 181, 544, 272, 136, 68, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(507 > 1, builtin, [], []).
step(1 is 507 mod 2, builtin, [], []).
step(1521 is 3 * 507, builtin, [], []).
step(1522 is 1521 + 1, builtin, [], []).
step(collatz(1522, [1522, 761, 2284, 1142, 571, 1714, 857, 2572, 1286, 643, 1930, 965, 2896, 1448, 724, 362, 181, 544, 272, 136, 68, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1522,
      'J' = [761, 2284, 1142, 571, 1714, 857, 2572, 1286, 643, 1930, 965, 2896, 1448, 724, 362, 181, 544, 272, 136, 68, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 761],
     [1522 > 1,
      0 is 1522 mod 2,
      761 is 1522 // 2,
      collatz(761, [761, 2284, 1142, 571, 1714, 857, 2572, 1286, 643, 1930, 965, 2896, 1448, 724, 362, 181, 544, 272, 136, 68, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1522 > 1, builtin, [], []).
step(0 is 1522 mod 2, builtin, [], []).
step(761 is 1522 // 2, builtin, [], []).
step(collatzTrajectory(506, [506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 506,
      'M' = [506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 494],
     [repeat(1000, 494),
      506 is 1000 - 494,
      collatz(506, [506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 494),
     rule(3),
     ['N' = 1000, 'I' = 494, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 494)]).
step(between(0, 999, 494), builtin, [], []).
step(506 is 1000 - 494, builtin, [], []).
step(collatzTrajectory(505, [505, 1516, 758, 379, 1138, 569, 1708, 854, 427, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 505,
      'M' = [505, 1516, 758, 379, 1138, 569, 1708, 854, 427, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 495],
     [repeat(1000, 495),
      505 is 1000 - 495,
      collatz(505, [505, 1516, 758, 379, 1138, 569, 1708, 854, 427, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 495),
     rule(3),
     ['N' = 1000, 'I' = 495, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 495)]).
step(between(0, 999, 495), builtin, [], []).
step(505 is 1000 - 495, builtin, [], []).
step(collatzTrajectory(504, [504, 252, 126, 63, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 504,
      'M' = [504, 252, 126, 63, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 496],
     [repeat(1000, 496),
      504 is 1000 - 496,
      collatz(504, [504, 252, 126, 63, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 496),
     rule(3),
     ['N' = 1000, 'I' = 496, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 496)]).
step(between(0, 999, 496), builtin, [], []).
step(504 is 1000 - 496, builtin, [], []).
step(collatz(504, [504, 252, 126, 63, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 504,
      'J' = [252, 126, 63, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 252],
     [504 > 1,
      0 is 504 mod 2,
      252 is 504 // 2,
      collatz(252, [252, 126, 63, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(504 > 1, builtin, [], []).
step(0 is 504 mod 2, builtin, [], []).
step(252 is 504 // 2, builtin, [], []).
step(collatz(252, [252, 126, 63, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 252,
      'J' = [126, 63, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 126],
     [252 > 1,
      0 is 252 mod 2,
      126 is 252 // 2,
      collatz(126, [126, 63, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(252 > 1, builtin, [], []).
step(0 is 252 mod 2, builtin, [], []).
step(126 is 252 // 2, builtin, [], []).
step(collatz(126, [126, 63, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 126,
      'J' = [63, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 63],
     [126 > 1,
      0 is 126 mod 2,
      63 is 126 // 2,
      collatz(63, [63, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(126 > 1, builtin, [], []).
step(0 is 126 mod 2, builtin, [], []).
step(63 is 126 // 2, builtin, [], []).
step(collatz(63, [63, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 63,
      'J' = [190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 189,
      'N1' = 190],
     [63 > 1,
      1 is 63 mod 2,
      189 is 3 * 63,
      190 is 189 + 1,
      collatz(190, [190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(63 > 1, builtin, [], []).
step(1 is 63 mod 2, builtin, [], []).
step(189 is 3 * 63, builtin, [], []).
step(190 is 189 + 1, builtin, [], []).
step(collatzTrajectory(503, [503, 1510, 755, 2266, 1133, 3400, 1700, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 503,
      'M' = [503, 1510, 755, 2266, 1133, 3400, 1700, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 497],
     [repeat(1000, 497),
      503 is 1000 - 497,
      collatz(503, [503, 1510, 755, 2266, 1133, 3400, 1700, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 497),
     rule(3),
     ['N' = 1000, 'I' = 497, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 497)]).
step(between(0, 999, 497), builtin, [], []).
step(503 is 1000 - 497, builtin, [], []).
step(collatzTrajectory(502, [502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 502,
      'M' = [502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 498],
     [repeat(1000, 498),
      502 is 1000 - 498,
      collatz(502, [502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 498),
     rule(3),
     ['N' = 1000, 'I' = 498, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 498)]).
step(between(0, 999, 498), builtin, [], []).
step(502 is 1000 - 498, builtin, [], []).
step(collatzTrajectory(501, [501, 1504, 752, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 501,
      'M' = [501, 1504, 752, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 499],
     [repeat(1000, 499),
      501 is 1000 - 499,
      collatz(501, [501, 1504, 752, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 499),
     rule(3),
     ['N' = 1000, 'I' = 499, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 499)]).
step(between(0, 999, 499), builtin, [], []).
step(501 is 1000 - 499, builtin, [], []).
step(collatz(501, [501, 1504, 752, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(6),
     ['N' = 501,
      'J' = [1504, 752, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'T' = 1503,
      'N1' = 1504],
     [501 > 1,
      1 is 501 mod 2,
      1503 is 3 * 501,
      1504 is 1503 + 1,
      collatz(1504, [1504, 752, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(501 > 1, builtin, [], []).
step(1 is 501 mod 2, builtin, [], []).
step(1503 is 3 * 501, builtin, [], []).
step(1504 is 1503 + 1, builtin, [], []).
step(collatz(1504, [1504, 752, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(5),
     ['N' = 1504,
      'J' = [752, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N1' = 752],
     [1504 > 1,
      0 is 1504 mod 2,
      752 is 1504 // 2,
      collatz(752, [752, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(1504 > 1, builtin, [], []).
step(0 is 1504 mod 2, builtin, [], []).
step(752 is 1504 // 2, builtin, [], []).
step(collatzTrajectory(500, [500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 500,
      'M' = [500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 500],
     [repeat(1000, 500),
      500 is 1000 - 500,
      collatz(500, [500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 500),
     rule(3),
     ['N' = 1000, 'I' = 500, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 500)]).
step(between(0, 999, 500), builtin, [], []).
step(500 is 1000 - 500, builtin, [], []).
step(collatzTrajectory(499, [499, 1498, 749, 2248, 1124, 562, 281, 844, 422, 211, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 499,
      'M' = [499, 1498, 749, 2248, 1124, 562, 281, 844, 422, 211, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 501],
     [repeat(1000, 501),
      499 is 1000 - 501,
      collatz(499, [499, 1498, 749, 2248, 1124, 562, 281, 844, 422, 211, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 501),
     rule(3),
     ['N' = 1000, 'I' = 501, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 501)]).
step(between(0, 999, 501), builtin, [], []).
step(499 is 1000 - 501, builtin, [], []).
step(collatzTrajectory(498, [498, 249, 748, 374, 187, 562, 281, 844, 422, 211, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 498,
      'M' = [498, 249, 748, 374, 187, 562, 281, 844, 422, 211, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 502],
     [repeat(1000, 502),
      498 is 1000 - 502,
      collatz(498, [498, 249, 748, 374, 187, 562, 281, 844, 422, 211, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 502),
     rule(3),
     ['N' = 1000, 'I' = 502, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 502)]).
step(between(0, 999, 502), builtin, [], []).
step(498 is 1000 - 502, builtin, [], []).
step(collatzTrajectory(497, [497, 1492, 746, 373, 1120, 560, 280, 140, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 497,
      'M' = [497, 1492, 746, 373, 1120, 560, 280, 140, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 503],
     [repeat(1000, 503),
      497 is 1000 - 503,
      collatz(497, [497, 1492, 746, 373, 1120, 560, 280, 140, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 503),
     rule(3),
     ['N' = 1000, 'I' = 503, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 503)]).
step(between(0, 999, 503), builtin, [], []).
step(497 is 1000 - 503, builtin, [], []).
step(collatzTrajectory(496, [496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 496,
      'M' = [496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 504],
     [repeat(1000, 504),
      496 is 1000 - 504,
      collatz(496, [496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 504),
     rule(3),
     ['N' = 1000, 'I' = 504, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 504)]).
step(between(0, 999, 504), builtin, [], []).
step(496 is 1000 - 504, builtin, [], []).
step(collatzTrajectory(495, [495, 1486, 743, 2230, 1115, 3346, 1673, 5020, 2510, 1255, 3766, 1883, 5650, 2825, 8476, 4238, 2119, 6358, 3179, 9538, 4769, 14308, 7154, 3577, 10732, 5366, 2683, 8050, 4025, 12076, 6038, 3019, 9058, 4529, 13588, 6794, 3397, 10192, 5096, 2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 495,
      'M' = [495, 1486, 743, 2230, 1115, 3346, 1673, 5020, 2510, 1255, 3766, 1883, 5650, 2825, 8476, 4238, 2119, 6358, 3179, 9538, 4769, 14308, 7154, 3577, 10732, 5366, 2683, 8050, 4025, 12076, 6038, 3019, 9058, 4529, 13588, 6794, 3397, 10192, 5096, 2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 505],
     [repeat(1000, 505),
      495 is 1000 - 505,
      collatz(495, [495, 1486, 743, 2230, 1115, 3346, 1673, 5020, 2510, 1255, 3766, 1883, 5650, 2825, 8476, 4238, 2119, 6358, 3179, 9538, 4769, 14308, 7154, 3577, 10732, 5366, 2683, 8050, 4025, 12076, 6038, 3019, 9058, 4529, 13588, 6794, 3397, 10192, 5096, 2548, 1274, 637, 1912, 956, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 505),
     rule(3),
     ['N' = 1000, 'I' = 505, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 505)]).
step(between(0, 999, 505), builtin, [], []).
step(495 is 1000 - 505, builtin, [], []).
step(collatzTrajectory(494, [494, 247, 742, 371, 1114, 557, 1672, 836, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 494,
      'M' = [494, 247, 742, 371, 1114, 557, 1672, 836, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 506],
     [repeat(1000, 506),
      494 is 1000 - 506,
      collatz(494, [494, 247, 742, 371, 1114, 557, 1672, 836, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 506),
     rule(3),
     ['N' = 1000, 'I' = 506, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 506)]).
step(between(0, 999, 506), builtin, [], []).
step(494 is 1000 - 506, builtin, [], []).
step(collatzTrajectory(493, [493, 1480, 740, 370, 185, 556, 278, 139, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 493,
      'M' = [493, 1480, 740, 370, 185, 556, 278, 139, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 507],
     [repeat(1000, 507),
      493 is 1000 - 507,
      collatz(493, [493, 1480, 740, 370, 185, 556, 278, 139, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 507),
     rule(3),
     ['N' = 1000, 'I' = 507, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 507)]).
step(between(0, 999, 507), builtin, [], []).
step(493 is 1000 - 507, builtin, [], []).
step(collatzTrajectory(492, [492, 246, 123, 370, 185, 556, 278, 139, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 492,
      'M' = [492, 246, 123, 370, 185, 556, 278, 139, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 508],
     [repeat(1000, 508),
      492 is 1000 - 508,
      collatz(492, [492, 246, 123, 370, 185, 556, 278, 139, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 508),
     rule(3),
     ['N' = 1000, 'I' = 508, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 508)]).
step(between(0, 999, 508), builtin, [], []).
step(492 is 1000 - 508, builtin, [], []).
step(collatzTrajectory(491, [491, 1474, 737, 2212, 1106, 553, 1660, 830, 415, 1246, 623, 1870, 935, 2806, 1403, 4210, 2105, 6316, 3158, 1579, 4738, 2369, 7108, 3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 491,
      'M' = [491, 1474, 737, 2212, 1106, 553, 1660, 830, 415, 1246, 623, 1870, 935, 2806, 1403, 4210, 2105, 6316, 3158, 1579, 4738, 2369, 7108, 3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 509],
     [repeat(1000, 509),
      491 is 1000 - 509,
      collatz(491, [491, 1474, 737, 2212, 1106, 553, 1660, 830, 415, 1246, 623, 1870, 935, 2806, 1403, 4210, 2105, 6316, 3158, 1579, 4738, 2369, 7108, 3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 509),
     rule(3),
     ['N' = 1000, 'I' = 509, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 509)]).
step(between(0, 999, 509), builtin, [], []).
step(491 is 1000 - 509, builtin, [], []).
step(collatzTrajectory(490, [490, 245, 736, 368, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 490,
      'M' = [490, 245, 736, 368, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 510],
     [repeat(1000, 510),
      490 is 1000 - 510,
      collatz(490, [490, 245, 736, 368, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 510),
     rule(3),
     ['N' = 1000, 'I' = 510, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 510)]).
step(between(0, 999, 510), builtin, [], []).
step(490 is 1000 - 510, builtin, [], []).
step(collatzTrajectory(489, [489, 1468, 734, 367, 1102, 551, 1654, 827, 2482, 1241, 3724, 1862, 931, 2794, 1397, 4192, 2096, 1048, 524, 262, 131, 394, 197, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 489,
      'M' = [489, 1468, 734, 367, 1102, 551, 1654, 827, 2482, 1241, 3724, 1862, 931, 2794, 1397, 4192, 2096, 1048, 524, 262, 131, 394, 197, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 511],
     [repeat(1000, 511),
      489 is 1000 - 511,
      collatz(489, [489, 1468, 734, 367, 1102, 551, 1654, 827, 2482, 1241, 3724, 1862, 931, 2794, 1397, 4192, 2096, 1048, 524, 262, 131, 394, 197, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 511),
     rule(3),
     ['N' = 1000, 'I' = 511, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 511)]).
step(between(0, 999, 511), builtin, [], []).
step(489 is 1000 - 511, builtin, [], []).
step(collatzTrajectory(488, [488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 488,
      'M' = [488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 512],
     [repeat(1000, 512),
      488 is 1000 - 512,
      collatz(488, [488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 512),
     rule(3),
     ['N' = 1000, 'I' = 512, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 512)]).
step(between(0, 999, 512), builtin, [], []).
step(488 is 1000 - 512, builtin, [], []).
step(collatzTrajectory(487, [487, 1462, 731, 2194, 1097, 3292, 1646, 823, 2470, 1235, 3706, 1853, 5560, 2780, 1390, 695, 2086, 1043, 3130, 1565, 4696, 2348, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 487,
      'M' = [487, 1462, 731, 2194, 1097, 3292, 1646, 823, 2470, 1235, 3706, 1853, 5560, 2780, 1390, 695, 2086, 1043, 3130, 1565, 4696, 2348, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 513],
     [repeat(1000, 513),
      487 is 1000 - 513,
      collatz(487, [487, 1462, 731, 2194, 1097, 3292, 1646, 823, 2470, 1235, 3706, 1853, 5560, 2780, 1390, 695, 2086, 1043, 3130, 1565, 4696, 2348, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 513),
     rule(3),
     ['N' = 1000, 'I' = 513, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 513)]).
step(between(0, 999, 513), builtin, [], []).
step(487 is 1000 - 513, builtin, [], []).
step(collatzTrajectory(486, [486, 243, 730, 365, 1096, 548, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 486,
      'M' = [486, 243, 730, 365, 1096, 548, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 514],
     [repeat(1000, 514),
      486 is 1000 - 514,
      collatz(486, [486, 243, 730, 365, 1096, 548, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 514),
     rule(3),
     ['N' = 1000, 'I' = 514, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 514)]).
step(between(0, 999, 514), builtin, [], []).
step(486 is 1000 - 514, builtin, [], []).
step(collatzTrajectory(485, [485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 485,
      'M' = [485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 515],
     [repeat(1000, 515),
      485 is 1000 - 515,
      collatz(485, [485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 515),
     rule(3),
     ['N' = 1000, 'I' = 515, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 515)]).
step(between(0, 999, 515), builtin, [], []).
step(485 is 1000 - 515, builtin, [], []).
step(collatzTrajectory(484, [484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 484,
      'M' = [484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 516],
     [repeat(1000, 516),
      484 is 1000 - 516,
      collatz(484, [484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 516),
     rule(3),
     ['N' = 1000, 'I' = 516, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 516)]).
step(between(0, 999, 516), builtin, [], []).
step(484 is 1000 - 516, builtin, [], []).
step(collatzTrajectory(483, [483, 1450, 725, 2176, 1088, 544, 272, 136, 68, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 483,
      'M' = [483, 1450, 725, 2176, 1088, 544, 272, 136, 68, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 517],
     [repeat(1000, 517),
      483 is 1000 - 517,
      collatz(483, [483, 1450, 725, 2176, 1088, 544, 272, 136, 68, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 517),
     rule(3),
     ['N' = 1000, 'I' = 517, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 517)]).
step(between(0, 999, 517), builtin, [], []).
step(483 is 1000 - 517, builtin, [], []).
step(collatzTrajectory(482, [482, 241, 724, 362, 181, 544, 272, 136, 68, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 482,
      'M' = [482, 241, 724, 362, 181, 544, 272, 136, 68, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 518],
     [repeat(1000, 518),
      482 is 1000 - 518,
      collatz(482, [482, 241, 724, 362, 181, 544, 272, 136, 68, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 518),
     rule(3),
     ['N' = 1000, 'I' = 518, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 518)]).
step(between(0, 999, 518), builtin, [], []).
step(482 is 1000 - 518, builtin, [], []).
step(collatzTrajectory(481, [481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 481,
      'M' = [481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 519],
     [repeat(1000, 519),
      481 is 1000 - 519,
      collatz(481, [481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 519),
     rule(3),
     ['N' = 1000, 'I' = 519, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 519)]).
step(between(0, 999, 519), builtin, [], []).
step(481 is 1000 - 519, builtin, [], []).
step(collatzTrajectory(480, [480, 240, 120, 60, 30, 15, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 480,
      'M' = [480, 240, 120, 60, 30, 15, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 520],
     [repeat(1000, 520),
      480 is 1000 - 520,
      collatz(480, [480, 240, 120, 60, 30, 15, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 520),
     rule(3),
     ['N' = 1000, 'I' = 520, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 520)]).
step(between(0, 999, 520), builtin, [], []).
step(480 is 1000 - 520, builtin, [], []).
step(collatzTrajectory(479, [479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 479,
      'M' = [479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 521],
     [repeat(1000, 521),
      479 is 1000 - 521,
      collatz(479, [479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 521),
     rule(3),
     ['N' = 1000, 'I' = 521, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 521)]).
step(between(0, 999, 521), builtin, [], []).
step(479 is 1000 - 521, builtin, [], []).
step(collatzTrajectory(478, [478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 478,
      'M' = [478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 522],
     [repeat(1000, 522),
      478 is 1000 - 522,
      collatz(478, [478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 522),
     rule(3),
     ['N' = 1000, 'I' = 522, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 522)]).
step(between(0, 999, 522), builtin, [], []).
step(478 is 1000 - 522, builtin, [], []).
step(collatzTrajectory(477, [477, 1432, 716, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 477,
      'M' = [477, 1432, 716, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 523],
     [repeat(1000, 523),
      477 is 1000 - 523,
      collatz(477, [477, 1432, 716, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 523),
     rule(3),
     ['N' = 1000, 'I' = 523, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 523)]).
step(between(0, 999, 523), builtin, [], []).
step(477 is 1000 - 523, builtin, [], []).
step(collatzTrajectory(476, [476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 476,
      'M' = [476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 524],
     [repeat(1000, 524),
      476 is 1000 - 524,
      collatz(476, [476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 524),
     rule(3),
     ['N' = 1000, 'I' = 524, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 524)]).
step(between(0, 999, 524), builtin, [], []).
step(476 is 1000 - 524, builtin, [], []).
step(collatzTrajectory(475, [475, 1426, 713, 2140, 1070, 535, 1606, 803, 2410, 1205, 3616, 1808, 904, 452, 226, 113, 340, 170, 85, 256, 128, 64, 32, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 475,
      'M' = [475, 1426, 713, 2140, 1070, 535, 1606, 803, 2410, 1205, 3616, 1808, 904, 452, 226, 113, 340, 170, 85, 256, 128, 64, 32, 16, 8, 4, 2, 1],
      'N0' = 525],
     [repeat(1000, 525),
      475 is 1000 - 525,
      collatz(475, [475, 1426, 713, 2140, 1070, 535, 1606, 803, 2410, 1205, 3616, 1808, 904, 452, 226, 113, 340, 170, 85, 256, 128, 64, 32, 16, 8, 4, 2, 1])]).
step(repeat(1000, 525),
     rule(3),
     ['N' = 1000, 'I' = 525, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 525)]).
step(between(0, 999, 525), builtin, [], []).
step(475 is 1000 - 525, builtin, [], []).
step(collatzTrajectory(474, [474, 237, 712, 356, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 474,
      'M' = [474, 237, 712, 356, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 526],
     [repeat(1000, 526),
      474 is 1000 - 526,
      collatz(474, [474, 237, 712, 356, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 526),
     rule(3),
     ['N' = 1000, 'I' = 526, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 526)]).
step(between(0, 999, 526), builtin, [], []).
step(474 is 1000 - 526, builtin, [], []).
step(collatzTrajectory(473, [473, 1420, 710, 355, 1066, 533, 1600, 800, 400, 200, 100, 50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 473,
      'M' = [473, 1420, 710, 355, 1066, 533, 1600, 800, 400, 200, 100, 50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 527],
     [repeat(1000, 527),
      473 is 1000 - 527,
      collatz(473, [473, 1420, 710, 355, 1066, 533, 1600, 800, 400, 200, 100, 50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 527),
     rule(3),
     ['N' = 1000, 'I' = 527, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 527)]).
step(between(0, 999, 527), builtin, [], []).
step(473 is 1000 - 527, builtin, [], []).
step(collatzTrajectory(472, [472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 472,
      'M' = [472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 528],
     [repeat(1000, 528),
      472 is 1000 - 528,
      collatz(472, [472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 528),
     rule(3),
     ['N' = 1000, 'I' = 528, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 528)]).
step(between(0, 999, 528), builtin, [], []).
step(472 is 1000 - 528, builtin, [], []).
step(collatzTrajectory(471, [471, 1414, 707, 2122, 1061, 3184, 1592, 796, 398, 199, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 471,
      'M' = [471, 1414, 707, 2122, 1061, 3184, 1592, 796, 398, 199, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 529],
     [repeat(1000, 529),
      471 is 1000 - 529,
      collatz(471, [471, 1414, 707, 2122, 1061, 3184, 1592, 796, 398, 199, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 529),
     rule(3),
     ['N' = 1000, 'I' = 529, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 529)]).
step(between(0, 999, 529), builtin, [], []).
step(471 is 1000 - 529, builtin, [], []).
step(collatzTrajectory(470, [470, 235, 706, 353, 1060, 530, 265, 796, 398, 199, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 470,
      'M' = [470, 235, 706, 353, 1060, 530, 265, 796, 398, 199, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 530],
     [repeat(1000, 530),
      470 is 1000 - 530,
      collatz(470, [470, 235, 706, 353, 1060, 530, 265, 796, 398, 199, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 530),
     rule(3),
     ['N' = 1000, 'I' = 530, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 530)]).
step(between(0, 999, 530), builtin, [], []).
step(470 is 1000 - 530, builtin, [], []).
step(collatzTrajectory(469, [469, 1408, 704, 352, 176, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 469,
      'M' = [469, 1408, 704, 352, 176, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 531],
     [repeat(1000, 531),
      469 is 1000 - 531,
      collatz(469, [469, 1408, 704, 352, 176, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 531),
     rule(3),
     ['N' = 1000, 'I' = 531, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 531)]).
step(between(0, 999, 531), builtin, [], []).
step(469 is 1000 - 531, builtin, [], []).
step(collatzTrajectory(468, [468, 234, 117, 352, 176, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 468,
      'M' = [468, 234, 117, 352, 176, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 532],
     [repeat(1000, 532),
      468 is 1000 - 532,
      collatz(468, [468, 234, 117, 352, 176, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 532),
     rule(3),
     ['N' = 1000, 'I' = 532, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 532)]).
step(between(0, 999, 532), builtin, [], []).
step(468 is 1000 - 532, builtin, [], []).
step(collatzTrajectory(467, [467, 1402, 701, 2104, 1052, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 467,
      'M' = [467, 1402, 701, 2104, 1052, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 533],
     [repeat(1000, 533),
      467 is 1000 - 533,
      collatz(467, [467, 1402, 701, 2104, 1052, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 533),
     rule(3),
     ['N' = 1000, 'I' = 533, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 533)]).
step(between(0, 999, 533), builtin, [], []).
step(467 is 1000 - 533, builtin, [], []).
step(collatzTrajectory(466, [466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 466,
      'M' = [466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 534],
     [repeat(1000, 534),
      466 is 1000 - 534,
      collatz(466, [466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 534),
     rule(3),
     ['N' = 1000, 'I' = 534, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 534)]).
step(between(0, 999, 534), builtin, [], []).
step(466 is 1000 - 534, builtin, [], []).
step(collatzTrajectory(465, [465, 1396, 698, 349, 1048, 524, 262, 131, 394, 197, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 465,
      'M' = [465, 1396, 698, 349, 1048, 524, 262, 131, 394, 197, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 535],
     [repeat(1000, 535),
      465 is 1000 - 535,
      collatz(465, [465, 1396, 698, 349, 1048, 524, 262, 131, 394, 197, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 535),
     rule(3),
     ['N' = 1000, 'I' = 535, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 535)]).
step(between(0, 999, 535), builtin, [], []).
step(465 is 1000 - 535, builtin, [], []).
step(collatzTrajectory(464, [464, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 464,
      'M' = [464, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 536],
     [repeat(1000, 536),
      464 is 1000 - 536,
      collatz(464, [464, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 536),
     rule(3),
     ['N' = 1000, 'I' = 536, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 536)]).
step(between(0, 999, 536), builtin, [], []).
step(464 is 1000 - 536, builtin, [], []).
step(collatzTrajectory(463, [463, 1390, 695, 2086, 1043, 3130, 1565, 4696, 2348, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 463,
      'M' = [463, 1390, 695, 2086, 1043, 3130, 1565, 4696, 2348, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 537],
     [repeat(1000, 537),
      463 is 1000 - 537,
      collatz(463, [463, 1390, 695, 2086, 1043, 3130, 1565, 4696, 2348, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 537),
     rule(3),
     ['N' = 1000, 'I' = 537, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 537)]).
step(between(0, 999, 537), builtin, [], []).
step(463 is 1000 - 537, builtin, [], []).
step(collatzTrajectory(462, [462, 231, 694, 347, 1042, 521, 1564, 782, 391, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 462,
      'M' = [462, 231, 694, 347, 1042, 521, 1564, 782, 391, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 538],
     [repeat(1000, 538),
      462 is 1000 - 538,
      collatz(462, [462, 231, 694, 347, 1042, 521, 1564, 782, 391, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 538),
     rule(3),
     ['N' = 1000, 'I' = 538, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 538)]).
step(between(0, 999, 538), builtin, [], []).
step(462 is 1000 - 538, builtin, [], []).
step(collatzTrajectory(461, [461, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 461,
      'M' = [461, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 539],
     [repeat(1000, 539),
      461 is 1000 - 539,
      collatz(461, [461, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 539),
     rule(3),
     ['N' = 1000, 'I' = 539, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 539)]).
step(between(0, 999, 539), builtin, [], []).
step(461 is 1000 - 539, builtin, [], []).
step(collatzTrajectory(460, [460, 230, 115, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 460,
      'M' = [460, 230, 115, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 540],
     [repeat(1000, 540),
      460 is 1000 - 540,
      collatz(460, [460, 230, 115, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 540),
     rule(3),
     ['N' = 1000, 'I' = 540, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 540)]).
step(between(0, 999, 540), builtin, [], []).
step(460 is 1000 - 540, builtin, [], []).
step(collatzTrajectory(459, [459, 1378, 689, 2068, 1034, 517, 1552, 776, 388, 194, 97, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 459,
      'M' = [459, 1378, 689, 2068, 1034, 517, 1552, 776, 388, 194, 97, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 541],
     [repeat(1000, 541),
      459 is 1000 - 541,
      collatz(459, [459, 1378, 689, 2068, 1034, 517, 1552, 776, 388, 194, 97, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 541),
     rule(3),
     ['N' = 1000, 'I' = 541, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 541)]).
step(between(0, 999, 541), builtin, [], []).
step(459 is 1000 - 541, builtin, [], []).
step(collatzTrajectory(458, [458, 229, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 458,
      'M' = [458, 229, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 542],
     [repeat(1000, 542),
      458 is 1000 - 542,
      collatz(458, [458, 229, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 542),
     rule(3),
     ['N' = 1000, 'I' = 542, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 542)]).
step(between(0, 999, 542), builtin, [], []).
step(458 is 1000 - 542, builtin, [], []).
step(collatzTrajectory(457, [457, 1372, 686, 343, 1030, 515, 1546, 773, 2320, 1160, 580, 290, 145, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 457,
      'M' = [457, 1372, 686, 343, 1030, 515, 1546, 773, 2320, 1160, 580, 290, 145, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 543],
     [repeat(1000, 543),
      457 is 1000 - 543,
      collatz(457, [457, 1372, 686, 343, 1030, 515, 1546, 773, 2320, 1160, 580, 290, 145, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 543),
     rule(3),
     ['N' = 1000, 'I' = 543, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 543)]).
step(between(0, 999, 543), builtin, [], []).
step(457 is 1000 - 543, builtin, [], []).
step(collatzTrajectory(456, [456, 228, 114, 57, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 456,
      'M' = [456, 228, 114, 57, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 544],
     [repeat(1000, 544),
      456 is 1000 - 544,
      collatz(456, [456, 228, 114, 57, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 544),
     rule(3),
     ['N' = 1000, 'I' = 544, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 544)]).
step(between(0, 999, 544), builtin, [], []).
step(456 is 1000 - 544, builtin, [], []).
step(collatzTrajectory(455, [455, 1366, 683, 2050, 1025, 3076, 1538, 769, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 455,
      'M' = [455, 1366, 683, 2050, 1025, 3076, 1538, 769, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 545],
     [repeat(1000, 545),
      455 is 1000 - 545,
      collatz(455, [455, 1366, 683, 2050, 1025, 3076, 1538, 769, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 545),
     rule(3),
     ['N' = 1000, 'I' = 545, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 545)]).
step(between(0, 999, 545), builtin, [], []).
step(455 is 1000 - 545, builtin, [], []).
step(collatzTrajectory(454, [454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 454,
      'M' = [454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1],
      'N0' = 546],
     [repeat(1000, 546),
      454 is 1000 - 546,
      collatz(454, [454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1])]).
step(repeat(1000, 546),
     rule(3),
     ['N' = 1000, 'I' = 546, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 546)]).
step(between(0, 999, 546), builtin, [], []).
step(454 is 1000 - 546, builtin, [], []).
step(collatzTrajectory(453, [453, 1360, 680, 340, 170, 85, 256, 128, 64, 32, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 453,
      'M' = [453, 1360, 680, 340, 170, 85, 256, 128, 64, 32, 16, 8, 4, 2, 1],
      'N0' = 547],
     [repeat(1000, 547),
      453 is 1000 - 547,
      collatz(453, [453, 1360, 680, 340, 170, 85, 256, 128, 64, 32, 16, 8, 4, 2, 1])]).
step(repeat(1000, 547),
     rule(3),
     ['N' = 1000, 'I' = 547, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 547)]).
step(between(0, 999, 547), builtin, [], []).
step(453 is 1000 - 547, builtin, [], []).
step(collatzTrajectory(452, [452, 226, 113, 340, 170, 85, 256, 128, 64, 32, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 452,
      'M' = [452, 226, 113, 340, 170, 85, 256, 128, 64, 32, 16, 8, 4, 2, 1],
      'N0' = 548],
     [repeat(1000, 548),
      452 is 1000 - 548,
      collatz(452, [452, 226, 113, 340, 170, 85, 256, 128, 64, 32, 16, 8, 4, 2, 1])]).
step(repeat(1000, 548),
     rule(3),
     ['N' = 1000, 'I' = 548, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 548)]).
step(between(0, 999, 548), builtin, [], []).
step(452 is 1000 - 548, builtin, [], []).
step(collatzTrajectory(451, [451, 1354, 677, 2032, 1016, 508, 254, 127, 382, 191, 574, 287, 862, 431, 1294, 647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 451,
      'M' = [451, 1354, 677, 2032, 1016, 508, 254, 127, 382, 191, 574, 287, 862, 431, 1294, 647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 549],
     [repeat(1000, 549),
      451 is 1000 - 549,
      collatz(451, [451, 1354, 677, 2032, 1016, 508, 254, 127, 382, 191, 574, 287, 862, 431, 1294, 647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 549),
     rule(3),
     ['N' = 1000, 'I' = 549, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 549)]).
step(between(0, 999, 549), builtin, [], []).
step(451 is 1000 - 549, builtin, [], []).
step(collatzTrajectory(450, [450, 225, 676, 338, 169, 508, 254, 127, 382, 191, 574, 287, 862, 431, 1294, 647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 450,
      'M' = [450, 225, 676, 338, 169, 508, 254, 127, 382, 191, 574, 287, 862, 431, 1294, 647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 550],
     [repeat(1000, 550),
      450 is 1000 - 550,
      collatz(450, [450, 225, 676, 338, 169, 508, 254, 127, 382, 191, 574, 287, 862, 431, 1294, 647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 550),
     rule(3),
     ['N' = 1000, 'I' = 550, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 550)]).
step(between(0, 999, 550), builtin, [], []).
step(450 is 1000 - 550, builtin, [], []).
step(collatzTrajectory(449, [449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 449,
      'M' = [449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 551],
     [repeat(1000, 551),
      449 is 1000 - 551,
      collatz(449, [449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 551),
     rule(3),
     ['N' = 1000, 'I' = 551, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 551)]).
step(between(0, 999, 551), builtin, [], []).
step(449 is 1000 - 551, builtin, [], []).
step(collatzTrajectory(448, [448, 224, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 448,
      'M' = [448, 224, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 552],
     [repeat(1000, 552),
      448 is 1000 - 552,
      collatz(448, [448, 224, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 552),
     rule(3),
     ['N' = 1000, 'I' = 552, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 552)]).
step(between(0, 999, 552), builtin, [], []).
step(448 is 1000 - 552, builtin, [], []).
step(collatzTrajectory(447, [447, 1342, 671, 2014, 1007, 3022, 1511, 4534, 2267, 6802, 3401, 10204, 5102, 2551, 7654, 3827, 11482, 5741, 17224, 8612, 4306, 2153, 6460, 3230, 1615, 4846, 2423, 7270, 3635, 10906, 5453, 16360, 8180, 4090, 2045, 6136, 3068, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 447,
      'M' = [447, 1342, 671, 2014, 1007, 3022, 1511, 4534, 2267, 6802, 3401, 10204, 5102, 2551, 7654, 3827, 11482, 5741, 17224, 8612, 4306, 2153, 6460, 3230, 1615, 4846, 2423, 7270, 3635, 10906, 5453, 16360, 8180, 4090, 2045, 6136, 3068, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 553],
     [repeat(1000, 553),
      447 is 1000 - 553,
      collatz(447, [447, 1342, 671, 2014, 1007, 3022, 1511, 4534, 2267, 6802, 3401, 10204, 5102, 2551, 7654, 3827, 11482, 5741, 17224, 8612, 4306, 2153, 6460, 3230, 1615, 4846, 2423, 7270, 3635, 10906, 5453, 16360, 8180, 4090, 2045, 6136, 3068, 1534, 767, 2302, 1151, 3454, 1727, 5182, 2591, 7774, 3887, 11662, 5831, 17494, 8747, 26242, 13121, 39364, 19682, 9841, 29524, 14762, 7381, 22144, 11072, 5536, 2768, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 553),
     rule(3),
     ['N' = 1000, 'I' = 553, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 553)]).
step(between(0, 999, 553), builtin, [], []).
step(447 is 1000 - 553, builtin, [], []).
step(collatzTrajectory(446, [446, 223, 670, 335, 1006, 503, 1510, 755, 2266, 1133, 3400, 1700, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 446,
      'M' = [446, 223, 670, 335, 1006, 503, 1510, 755, 2266, 1133, 3400, 1700, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 554],
     [repeat(1000, 554),
      446 is 1000 - 554,
      collatz(446, [446, 223, 670, 335, 1006, 503, 1510, 755, 2266, 1133, 3400, 1700, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 554),
     rule(3),
     ['N' = 1000, 'I' = 554, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 554)]).
step(between(0, 999, 554), builtin, [], []).
step(446 is 1000 - 554, builtin, [], []).
step(collatzTrajectory(445, [445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 445,
      'M' = [445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 555],
     [repeat(1000, 555),
      445 is 1000 - 555,
      collatz(445, [445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 555),
     rule(3),
     ['N' = 1000, 'I' = 555, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 555)]).
step(between(0, 999, 555), builtin, [], []).
step(445 is 1000 - 555, builtin, [], []).
step(collatzTrajectory(444, [444, 222, 111, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 444,
      'M' = [444, 222, 111, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 556],
     [repeat(1000, 556),
      444 is 1000 - 556,
      collatz(444, [444, 222, 111, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 556),
     rule(3),
     ['N' = 1000, 'I' = 556, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 556)]).
step(between(0, 999, 556), builtin, [], []).
step(444 is 1000 - 556, builtin, [], []).
step(collatzTrajectory(443, [443, 1330, 665, 1996, 998, 499, 1498, 749, 2248, 1124, 562, 281, 844, 422, 211, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 443,
      'M' = [443, 1330, 665, 1996, 998, 499, 1498, 749, 2248, 1124, 562, 281, 844, 422, 211, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 557],
     [repeat(1000, 557),
      443 is 1000 - 557,
      collatz(443, [443, 1330, 665, 1996, 998, 499, 1498, 749, 2248, 1124, 562, 281, 844, 422, 211, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 557),
     rule(3),
     ['N' = 1000, 'I' = 557, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 557)]).
step(between(0, 999, 557), builtin, [], []).
step(443 is 1000 - 557, builtin, [], []).
step(collatzTrajectory(442, [442, 221, 664, 332, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 442,
      'M' = [442, 221, 664, 332, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 558],
     [repeat(1000, 558),
      442 is 1000 - 558,
      collatz(442, [442, 221, 664, 332, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 558),
     rule(3),
     ['N' = 1000, 'I' = 558, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 558)]).
step(between(0, 999, 558), builtin, [], []).
step(442 is 1000 - 558, builtin, [], []).
step(collatzTrajectory(441, [441, 1324, 662, 331, 994, 497, 1492, 746, 373, 1120, 560, 280, 140, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 441,
      'M' = [441, 1324, 662, 331, 994, 497, 1492, 746, 373, 1120, 560, 280, 140, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 559],
     [repeat(1000, 559),
      441 is 1000 - 559,
      collatz(441, [441, 1324, 662, 331, 994, 497, 1492, 746, 373, 1120, 560, 280, 140, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 559),
     rule(3),
     ['N' = 1000, 'I' = 559, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 559)]).
step(between(0, 999, 559), builtin, [], []).
step(441 is 1000 - 559, builtin, [], []).
step(collatzTrajectory(440, [440, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 440,
      'M' = [440, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 560],
     [repeat(1000, 560),
      440 is 1000 - 560,
      collatz(440, [440, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 560),
     rule(3),
     ['N' = 1000, 'I' = 560, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 560)]).
step(between(0, 999, 560), builtin, [], []).
step(440 is 1000 - 560, builtin, [], []).
step(collatzTrajectory(439, [439, 1318, 659, 1978, 989, 2968, 1484, 742, 371, 1114, 557, 1672, 836, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 439,
      'M' = [439, 1318, 659, 1978, 989, 2968, 1484, 742, 371, 1114, 557, 1672, 836, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 561],
     [repeat(1000, 561),
      439 is 1000 - 561,
      collatz(439, [439, 1318, 659, 1978, 989, 2968, 1484, 742, 371, 1114, 557, 1672, 836, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 561),
     rule(3),
     ['N' = 1000, 'I' = 561, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 561)]).
step(between(0, 999, 561), builtin, [], []).
step(439 is 1000 - 561, builtin, [], []).
step(collatzTrajectory(438, [438, 219, 658, 329, 988, 494, 247, 742, 371, 1114, 557, 1672, 836, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 438,
      'M' = [438, 219, 658, 329, 988, 494, 247, 742, 371, 1114, 557, 1672, 836, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 562],
     [repeat(1000, 562),
      438 is 1000 - 562,
      collatz(438, [438, 219, 658, 329, 988, 494, 247, 742, 371, 1114, 557, 1672, 836, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 562),
     rule(3),
     ['N' = 1000, 'I' = 562, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 562)]).
step(between(0, 999, 562), builtin, [], []).
step(438 is 1000 - 562, builtin, [], []).
step(collatzTrajectory(437, [437, 1312, 656, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 437,
      'M' = [437, 1312, 656, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 563],
     [repeat(1000, 563),
      437 is 1000 - 563,
      collatz(437, [437, 1312, 656, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 563),
     rule(3),
     ['N' = 1000, 'I' = 563, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 563)]).
step(between(0, 999, 563), builtin, [], []).
step(437 is 1000 - 563, builtin, [], []).
step(collatzTrajectory(436, [436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 436,
      'M' = [436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 564],
     [repeat(1000, 564),
      436 is 1000 - 564,
      collatz(436, [436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 564),
     rule(3),
     ['N' = 1000, 'I' = 564, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 564)]).
step(between(0, 999, 564), builtin, [], []).
step(436 is 1000 - 564, builtin, [], []).
step(collatzTrajectory(435, [435, 1306, 653, 1960, 980, 490, 245, 736, 368, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 435,
      'M' = [435, 1306, 653, 1960, 980, 490, 245, 736, 368, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 565],
     [repeat(1000, 565),
      435 is 1000 - 565,
      collatz(435, [435, 1306, 653, 1960, 980, 490, 245, 736, 368, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 565),
     rule(3),
     ['N' = 1000, 'I' = 565, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 565)]).
step(between(0, 999, 565), builtin, [], []).
step(435 is 1000 - 565, builtin, [], []).
step(collatzTrajectory(434, [434, 217, 652, 326, 163, 490, 245, 736, 368, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 434,
      'M' = [434, 217, 652, 326, 163, 490, 245, 736, 368, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 566],
     [repeat(1000, 566),
      434 is 1000 - 566,
      collatz(434, [434, 217, 652, 326, 163, 490, 245, 736, 368, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 566),
     rule(3),
     ['N' = 1000, 'I' = 566, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 566)]).
step(between(0, 999, 566), builtin, [], []).
step(434 is 1000 - 566, builtin, [], []).
step(collatzTrajectory(433, [433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 433,
      'M' = [433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 567],
     [repeat(1000, 567),
      433 is 1000 - 567,
      collatz(433, [433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 567),
     rule(3),
     ['N' = 1000, 'I' = 567, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 567)]).
step(between(0, 999, 567), builtin, [], []).
step(433 is 1000 - 567, builtin, [], []).
step(collatzTrajectory(432, [432, 216, 108, 54, 27, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 432,
      'M' = [432, 216, 108, 54, 27, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 568],
     [repeat(1000, 568),
      432 is 1000 - 568,
      collatz(432, [432, 216, 108, 54, 27, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 568),
     rule(3),
     ['N' = 1000, 'I' = 568, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 568)]).
step(between(0, 999, 568), builtin, [], []).
step(432 is 1000 - 568, builtin, [], []).
step(collatzTrajectory(431, [431, 1294, 647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 431,
      'M' = [431, 1294, 647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 569],
     [repeat(1000, 569),
      431 is 1000 - 569,
      collatz(431, [431, 1294, 647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 569),
     rule(3),
     ['N' = 1000, 'I' = 569, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 569)]).
step(between(0, 999, 569), builtin, [], []).
step(431 is 1000 - 569, builtin, [], []).
step(collatzTrajectory(430, [430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 430,
      'M' = [430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 570],
     [repeat(1000, 570),
      430 is 1000 - 570,
      collatz(430, [430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 570),
     rule(3),
     ['N' = 1000, 'I' = 570, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 570)]).
step(between(0, 999, 570), builtin, [], []).
step(430 is 1000 - 570, builtin, [], []).
step(collatzTrajectory(429, [429, 1288, 644, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 429,
      'M' = [429, 1288, 644, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 571],
     [repeat(1000, 571),
      429 is 1000 - 571,
      collatz(429, [429, 1288, 644, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 571),
     rule(3),
     ['N' = 1000, 'I' = 571, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 571)]).
step(between(0, 999, 571), builtin, [], []).
step(429 is 1000 - 571, builtin, [], []).
step(collatzTrajectory(428, [428, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 428,
      'M' = [428, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 572],
     [repeat(1000, 572),
      428 is 1000 - 572,
      collatz(428, [428, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 572),
     rule(3),
     ['N' = 1000, 'I' = 572, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 572)]).
step(between(0, 999, 572), builtin, [], []).
step(428 is 1000 - 572, builtin, [], []).
step(collatzTrajectory(427, [427, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 427,
      'M' = [427, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 573],
     [repeat(1000, 573),
      427 is 1000 - 573,
      collatz(427, [427, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 573),
     rule(3),
     ['N' = 1000, 'I' = 573, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 573)]).
step(between(0, 999, 573), builtin, [], []).
step(427 is 1000 - 573, builtin, [], []).
step(collatzTrajectory(426, [426, 213, 640, 320, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 426, 'M' = [426, 213, 640, 320, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1], 'N0' = 574],
     [repeat(1000, 574),
      426 is 1000 - 574,
      collatz(426, [426, 213, 640, 320, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 574),
     rule(3),
     ['N' = 1000, 'I' = 574, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 574)]).
step(between(0, 999, 574), builtin, [], []).
step(426 is 1000 - 574, builtin, [], []).
step(collatzTrajectory(425, [425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 425,
      'M' = [425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 575],
     [repeat(1000, 575),
      425 is 1000 - 575,
      collatz(425, [425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 575),
     rule(3),
     ['N' = 1000, 'I' = 575, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 575)]).
step(between(0, 999, 575), builtin, [], []).
step(425 is 1000 - 575, builtin, [], []).
step(collatzTrajectory(424, [424, 212, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 424, 'M' = [424, 212, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1], 'N0' = 576],
     [repeat(1000, 576),
      424 is 1000 - 576,
      collatz(424, [424, 212, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 576),
     rule(3),
     ['N' = 1000, 'I' = 576, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 576)]).
step(between(0, 999, 576), builtin, [], []).
step(424 is 1000 - 576, builtin, [], []).
step(collatzTrajectory(423, [423, 1270, 635, 1906, 953, 2860, 1430, 715, 2146, 1073, 3220, 1610, 805, 2416, 1208, 604, 302, 151, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 423,
      'M' = [423, 1270, 635, 1906, 953, 2860, 1430, 715, 2146, 1073, 3220, 1610, 805, 2416, 1208, 604, 302, 151, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1],
      'N0' = 577],
     [repeat(1000, 577),
      423 is 1000 - 577,
      collatz(423, [423, 1270, 635, 1906, 953, 2860, 1430, 715, 2146, 1073, 3220, 1610, 805, 2416, 1208, 604, 302, 151, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1])]).
step(repeat(1000, 577),
     rule(3),
     ['N' = 1000, 'I' = 577, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 577)]).
step(between(0, 999, 577), builtin, [], []).
step(423 is 1000 - 577, builtin, [], []).
step(collatzTrajectory(422, [422, 211, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 422,
      'M' = [422, 211, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 578],
     [repeat(1000, 578),
      422 is 1000 - 578,
      collatz(422, [422, 211, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 578),
     rule(3),
     ['N' = 1000, 'I' = 578, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 578)]).
step(between(0, 999, 578), builtin, [], []).
step(422 is 1000 - 578, builtin, [], []).
step(collatzTrajectory(421, [421, 1264, 632, 316, 158, 79, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 421,
      'M' = [421, 1264, 632, 316, 158, 79, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 579],
     [repeat(1000, 579),
      421 is 1000 - 579,
      collatz(421, [421, 1264, 632, 316, 158, 79, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 579),
     rule(3),
     ['N' = 1000, 'I' = 579, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 579)]).
step(between(0, 999, 579), builtin, [], []).
step(421 is 1000 - 579, builtin, [], []).
step(collatzTrajectory(420, [420, 210, 105, 316, 158, 79, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 420,
      'M' = [420, 210, 105, 316, 158, 79, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 580],
     [repeat(1000, 580),
      420 is 1000 - 580,
      collatz(420, [420, 210, 105, 316, 158, 79, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 580),
     rule(3),
     ['N' = 1000, 'I' = 580, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 580)]).
step(between(0, 999, 580), builtin, [], []).
step(420 is 1000 - 580, builtin, [], []).
step(collatzTrajectory(419, [419, 1258, 629, 1888, 944, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 419,
      'M' = [419, 1258, 629, 1888, 944, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 581],
     [repeat(1000, 581),
      419 is 1000 - 581,
      collatz(419, [419, 1258, 629, 1888, 944, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 581),
     rule(3),
     ['N' = 1000, 'I' = 581, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 581)]).
step(between(0, 999, 581), builtin, [], []).
step(419 is 1000 - 581, builtin, [], []).
step(collatzTrajectory(418, [418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 418,
      'M' = [418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 582],
     [repeat(1000, 582),
      418 is 1000 - 582,
      collatz(418, [418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 582),
     rule(3),
     ['N' = 1000, 'I' = 582, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 582)]).
step(between(0, 999, 582), builtin, [], []).
step(418 is 1000 - 582, builtin, [], []).
step(collatzTrajectory(417, [417, 1252, 626, 313, 940, 470, 235, 706, 353, 1060, 530, 265, 796, 398, 199, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 417,
      'M' = [417, 1252, 626, 313, 940, 470, 235, 706, 353, 1060, 530, 265, 796, 398, 199, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 583],
     [repeat(1000, 583),
      417 is 1000 - 583,
      collatz(417, [417, 1252, 626, 313, 940, 470, 235, 706, 353, 1060, 530, 265, 796, 398, 199, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 583),
     rule(3),
     ['N' = 1000, 'I' = 583, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 583)]).
step(between(0, 999, 583), builtin, [], []).
step(417 is 1000 - 583, builtin, [], []).
step(collatzTrajectory(416, [416, 208, 104, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 416, 'M' = [416, 208, 104, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1], 'N0' = 584],
     [repeat(1000, 584),
      416 is 1000 - 584,
      collatz(416, [416, 208, 104, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 584),
     rule(3),
     ['N' = 1000, 'I' = 584, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 584)]).
step(between(0, 999, 584), builtin, [], []).
step(416 is 1000 - 584, builtin, [], []).
step(collatzTrajectory(415, [415, 1246, 623, 1870, 935, 2806, 1403, 4210, 2105, 6316, 3158, 1579, 4738, 2369, 7108, 3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 415,
      'M' = [415, 1246, 623, 1870, 935, 2806, 1403, 4210, 2105, 6316, 3158, 1579, 4738, 2369, 7108, 3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 585],
     [repeat(1000, 585),
      415 is 1000 - 585,
      collatz(415, [415, 1246, 623, 1870, 935, 2806, 1403, 4210, 2105, 6316, 3158, 1579, 4738, 2369, 7108, 3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 585),
     rule(3),
     ['N' = 1000, 'I' = 585, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 585)]).
step(between(0, 999, 585), builtin, [], []).
step(415 is 1000 - 585, builtin, [], []).
step(collatzTrajectory(414, [414, 207, 622, 311, 934, 467, 1402, 701, 2104, 1052, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 414,
      'M' = [414, 207, 622, 311, 934, 467, 1402, 701, 2104, 1052, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 586],
     [repeat(1000, 586),
      414 is 1000 - 586,
      collatz(414, [414, 207, 622, 311, 934, 467, 1402, 701, 2104, 1052, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 586),
     rule(3),
     ['N' = 1000, 'I' = 586, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 586)]).
step(between(0, 999, 586), builtin, [], []).
step(414 is 1000 - 586, builtin, [], []).
step(collatzTrajectory(413, [413, 1240, 620, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 413,
      'M' = [413, 1240, 620, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 587],
     [repeat(1000, 587),
      413 is 1000 - 587,
      collatz(413, [413, 1240, 620, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 587),
     rule(3),
     ['N' = 1000, 'I' = 587, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 587)]).
step(between(0, 999, 587), builtin, [], []).
step(413 is 1000 - 587, builtin, [], []).
step(collatzTrajectory(412, [412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 412,
      'M' = [412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 588],
     [repeat(1000, 588),
      412 is 1000 - 588,
      collatz(412, [412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 588),
     rule(3),
     ['N' = 1000, 'I' = 588, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 588)]).
step(between(0, 999, 588), builtin, [], []).
step(412 is 1000 - 588, builtin, [], []).
step(collatzTrajectory(411, [411, 1234, 617, 1852, 926, 463, 1390, 695, 2086, 1043, 3130, 1565, 4696, 2348, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 411,
      'M' = [411, 1234, 617, 1852, 926, 463, 1390, 695, 2086, 1043, 3130, 1565, 4696, 2348, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 589],
     [repeat(1000, 589),
      411 is 1000 - 589,
      collatz(411, [411, 1234, 617, 1852, 926, 463, 1390, 695, 2086, 1043, 3130, 1565, 4696, 2348, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 589),
     rule(3),
     ['N' = 1000, 'I' = 589, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 589)]).
step(between(0, 999, 589), builtin, [], []).
step(411 is 1000 - 589, builtin, [], []).
step(collatzTrajectory(410, [410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 410,
      'M' = [410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 590],
     [repeat(1000, 590),
      410 is 1000 - 590,
      collatz(410, [410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 590),
     rule(3),
     ['N' = 1000, 'I' = 590, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 590)]).
step(between(0, 999, 590), builtin, [], []).
step(410 is 1000 - 590, builtin, [], []).
step(collatzTrajectory(409, [409, 1228, 614, 307, 922, 461, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 409,
      'M' = [409, 1228, 614, 307, 922, 461, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 591],
     [repeat(1000, 591),
      409 is 1000 - 591,
      collatz(409, [409, 1228, 614, 307, 922, 461, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 591),
     rule(3),
     ['N' = 1000, 'I' = 591, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 591)]).
step(between(0, 999, 591), builtin, [], []).
step(409 is 1000 - 591, builtin, [], []).
step(collatzTrajectory(408, [408, 204, 102, 51, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 408,
      'M' = [408, 204, 102, 51, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 592],
     [repeat(1000, 592),
      408 is 1000 - 592,
      collatz(408, [408, 204, 102, 51, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 592),
     rule(3),
     ['N' = 1000, 'I' = 592, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 592)]).
step(between(0, 999, 592), builtin, [], []).
step(408 is 1000 - 592, builtin, [], []).
step(collatzTrajectory(407, [407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 407,
      'M' = [407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 593],
     [repeat(1000, 593),
      407 is 1000 - 593,
      collatz(407, [407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 593),
     rule(3),
     ['N' = 1000, 'I' = 593, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 593)]).
step(between(0, 999, 593), builtin, [], []).
step(407 is 1000 - 593, builtin, [], []).
step(collatzTrajectory(406, [406, 203, 610, 305, 916, 458, 229, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 406,
      'M' = [406, 203, 610, 305, 916, 458, 229, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 594],
     [repeat(1000, 594),
      406 is 1000 - 594,
      collatz(406, [406, 203, 610, 305, 916, 458, 229, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 594),
     rule(3),
     ['N' = 1000, 'I' = 594, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 594)]).
step(between(0, 999, 594), builtin, [], []).
step(406 is 1000 - 594, builtin, [], []).
step(collatzTrajectory(405, [405, 1216, 608, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 405,
      'M' = [405, 1216, 608, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 595],
     [repeat(1000, 595),
      405 is 1000 - 595,
      collatz(405, [405, 1216, 608, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 595),
     rule(3),
     ['N' = 1000, 'I' = 595, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 595)]).
step(between(0, 999, 595), builtin, [], []).
step(405 is 1000 - 595, builtin, [], []).
step(collatzTrajectory(404, [404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 404,
      'M' = [404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 596],
     [repeat(1000, 596),
      404 is 1000 - 596,
      collatz(404, [404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 596),
     rule(3),
     ['N' = 1000, 'I' = 596, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 596)]).
step(between(0, 999, 596), builtin, [], []).
step(404 is 1000 - 596, builtin, [], []).
step(collatzTrajectory(403, [403, 1210, 605, 1816, 908, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 403,
      'M' = [403, 1210, 605, 1816, 908, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1],
      'N0' = 597],
     [repeat(1000, 597),
      403 is 1000 - 597,
      collatz(403, [403, 1210, 605, 1816, 908, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1])]).
step(repeat(1000, 597),
     rule(3),
     ['N' = 1000, 'I' = 597, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 597)]).
step(between(0, 999, 597), builtin, [], []).
step(403 is 1000 - 597, builtin, [], []).
step(collatzTrajectory(402, [402, 201, 604, 302, 151, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 402,
      'M' = [402, 201, 604, 302, 151, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1],
      'N0' = 598],
     [repeat(1000, 598),
      402 is 1000 - 598,
      collatz(402, [402, 201, 604, 302, 151, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1])]).
step(repeat(1000, 598),
     rule(3),
     ['N' = 1000, 'I' = 598, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 598)]).
step(between(0, 999, 598), builtin, [], []).
step(402 is 1000 - 598, builtin, [], []).
step(collatzTrajectory(401, [401, 1204, 602, 301, 904, 452, 226, 113, 340, 170, 85, 256, 128, 64, 32, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 401,
      'M' = [401, 1204, 602, 301, 904, 452, 226, 113, 340, 170, 85, 256, 128, 64, 32, 16, 8, 4, 2, 1],
      'N0' = 599],
     [repeat(1000, 599),
      401 is 1000 - 599,
      collatz(401, [401, 1204, 602, 301, 904, 452, 226, 113, 340, 170, 85, 256, 128, 64, 32, 16, 8, 4, 2, 1])]).
step(repeat(1000, 599),
     rule(3),
     ['N' = 1000, 'I' = 599, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 599)]).
step(between(0, 999, 599), builtin, [], []).
step(401 is 1000 - 599, builtin, [], []).
step(collatzTrajectory(400, [400, 200, 100, 50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 400,
      'M' = [400, 200, 100, 50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 600],
     [repeat(1000, 600),
      400 is 1000 - 600,
      collatz(400, [400, 200, 100, 50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 600),
     rule(3),
     ['N' = 1000, 'I' = 600, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 600)]).
step(between(0, 999, 600), builtin, [], []).
step(400 is 1000 - 600, builtin, [], []).
step(collatzTrajectory(399, [399, 1198, 599, 1798, 899, 2698, 1349, 4048, 2024, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 399,
      'M' = [399, 1198, 599, 1798, 899, 2698, 1349, 4048, 2024, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 601],
     [repeat(1000, 601),
      399 is 1000 - 601,
      collatz(399, [399, 1198, 599, 1798, 899, 2698, 1349, 4048, 2024, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 601),
     rule(3),
     ['N' = 1000, 'I' = 601, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 601)]).
step(between(0, 999, 601), builtin, [], []).
step(399 is 1000 - 601, builtin, [], []).
step(collatzTrajectory(398, [398, 199, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 398,
      'M' = [398, 199, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 602],
     [repeat(1000, 602),
      398 is 1000 - 602,
      collatz(398, [398, 199, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 602),
     rule(3),
     ['N' = 1000, 'I' = 602, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 602)]).
step(between(0, 999, 602), builtin, [], []).
step(398 is 1000 - 602, builtin, [], []).
step(collatzTrajectory(397, [397, 1192, 596, 298, 149, 448, 224, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 397,
      'M' = [397, 1192, 596, 298, 149, 448, 224, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 603],
     [repeat(1000, 603),
      397 is 1000 - 603,
      collatz(397, [397, 1192, 596, 298, 149, 448, 224, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 603),
     rule(3),
     ['N' = 1000, 'I' = 603, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 603)]).
step(between(0, 999, 603), builtin, [], []).
step(397 is 1000 - 603, builtin, [], []).
step(collatzTrajectory(396, [396, 198, 99, 298, 149, 448, 224, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 396,
      'M' = [396, 198, 99, 298, 149, 448, 224, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 604],
     [repeat(1000, 604),
      396 is 1000 - 604,
      collatz(396, [396, 198, 99, 298, 149, 448, 224, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 604),
     rule(3),
     ['N' = 1000, 'I' = 604, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 604)]).
step(between(0, 999, 604), builtin, [], []).
step(396 is 1000 - 604, builtin, [], []).
step(collatzTrajectory(395, [395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 395,
      'M' = [395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 605],
     [repeat(1000, 605),
      395 is 1000 - 605,
      collatz(395, [395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 605),
     rule(3),
     ['N' = 1000, 'I' = 605, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 605)]).
step(between(0, 999, 605), builtin, [], []).
step(395 is 1000 - 605, builtin, [], []).
step(collatzTrajectory(394, [394, 197, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 394,
      'M' = [394, 197, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 606],
     [repeat(1000, 606),
      394 is 1000 - 606,
      collatz(394, [394, 197, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 606),
     rule(3),
     ['N' = 1000, 'I' = 606, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 606)]).
step(between(0, 999, 606), builtin, [], []).
step(394 is 1000 - 606, builtin, [], []).
step(collatzTrajectory(393, [393, 1180, 590, 295, 886, 443, 1330, 665, 1996, 998, 499, 1498, 749, 2248, 1124, 562, 281, 844, 422, 211, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 393,
      'M' = [393, 1180, 590, 295, 886, 443, 1330, 665, 1996, 998, 499, 1498, 749, 2248, 1124, 562, 281, 844, 422, 211, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 607],
     [repeat(1000, 607),
      393 is 1000 - 607,
      collatz(393, [393, 1180, 590, 295, 886, 443, 1330, 665, 1996, 998, 499, 1498, 749, 2248, 1124, 562, 281, 844, 422, 211, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 607),
     rule(3),
     ['N' = 1000, 'I' = 607, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 607)]).
step(between(0, 999, 607), builtin, [], []).
step(393 is 1000 - 607, builtin, [], []).
step(collatzTrajectory(392, [392, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 392,
      'M' = [392, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 608],
     [repeat(1000, 608),
      392 is 1000 - 608,
      collatz(392, [392, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 608),
     rule(3),
     ['N' = 1000, 'I' = 608, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 608)]).
step(between(0, 999, 608), builtin, [], []).
step(392 is 1000 - 608, builtin, [], []).
step(collatzTrajectory(391, [391, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 391,
      'M' = [391, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 609],
     [repeat(1000, 609),
      391 is 1000 - 609,
      collatz(391, [391, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 609),
     rule(3),
     ['N' = 1000, 'I' = 609, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 609)]).
step(between(0, 999, 609), builtin, [], []).
step(391 is 1000 - 609, builtin, [], []).
step(collatzTrajectory(390, [390, 195, 586, 293, 880, 440, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 390,
      'M' = [390, 195, 586, 293, 880, 440, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 610],
     [repeat(1000, 610),
      390 is 1000 - 610,
      collatz(390, [390, 195, 586, 293, 880, 440, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 610),
     rule(3),
     ['N' = 1000, 'I' = 610, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 610)]).
step(between(0, 999, 610), builtin, [], []).
step(390 is 1000 - 610, builtin, [], []).
step(collatzTrajectory(389, [389, 1168, 584, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 389,
      'M' = [389, 1168, 584, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 611],
     [repeat(1000, 611),
      389 is 1000 - 611,
      collatz(389, [389, 1168, 584, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 611),
     rule(3),
     ['N' = 1000, 'I' = 611, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 611)]).
step(between(0, 999, 611), builtin, [], []).
step(389 is 1000 - 611, builtin, [], []).
step(collatzTrajectory(388, [388, 194, 97, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 388,
      'M' = [388, 194, 97, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 612],
     [repeat(1000, 612),
      388 is 1000 - 612,
      collatz(388, [388, 194, 97, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 612),
     rule(3),
     ['N' = 1000, 'I' = 612, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 612)]).
step(between(0, 999, 612), builtin, [], []).
step(388 is 1000 - 612, builtin, [], []).
step(collatzTrajectory(387, [387, 1162, 581, 1744, 872, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 387,
      'M' = [387, 1162, 581, 1744, 872, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 613],
     [repeat(1000, 613),
      387 is 1000 - 613,
      collatz(387, [387, 1162, 581, 1744, 872, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 613),
     rule(3),
     ['N' = 1000, 'I' = 613, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 613)]).
step(between(0, 999, 613), builtin, [], []).
step(387 is 1000 - 613, builtin, [], []).
step(collatzTrajectory(386, [386, 193, 580, 290, 145, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 386,
      'M' = [386, 193, 580, 290, 145, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 614],
     [repeat(1000, 614),
      386 is 1000 - 614,
      collatz(386, [386, 193, 580, 290, 145, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 614),
     rule(3),
     ['N' = 1000, 'I' = 614, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 614)]).
step(between(0, 999, 614), builtin, [], []).
step(386 is 1000 - 614, builtin, [], []).
step(collatzTrajectory(385, [385, 1156, 578, 289, 868, 434, 217, 652, 326, 163, 490, 245, 736, 368, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 385,
      'M' = [385, 1156, 578, 289, 868, 434, 217, 652, 326, 163, 490, 245, 736, 368, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 615],
     [repeat(1000, 615),
      385 is 1000 - 615,
      collatz(385, [385, 1156, 578, 289, 868, 434, 217, 652, 326, 163, 490, 245, 736, 368, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 615),
     rule(3),
     ['N' = 1000, 'I' = 615, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 615)]).
step(between(0, 999, 615), builtin, [], []).
step(385 is 1000 - 615, builtin, [], []).
step(collatzTrajectory(384, [384, 192, 96, 48, 24, 12, 6, 3, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 384, 'M' = [384, 192, 96, 48, 24, 12, 6, 3, 10, 5, 16, 8, 4, 2, 1], 'N0' = 616],
     [repeat(1000, 616),
      384 is 1000 - 616,
      collatz(384, [384, 192, 96, 48, 24, 12, 6, 3, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 616),
     rule(3),
     ['N' = 1000, 'I' = 616, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 616)]).
step(between(0, 999, 616), builtin, [], []).
step(384 is 1000 - 616, builtin, [], []).
step(collatzTrajectory(383, [383, 1150, 575, 1726, 863, 2590, 1295, 3886, 1943, 5830, 2915, 8746, 4373, 13120, 6560, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 383,
      'M' = [383, 1150, 575, 1726, 863, 2590, 1295, 3886, 1943, 5830, 2915, 8746, 4373, 13120, 6560, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 617],
     [repeat(1000, 617),
      383 is 1000 - 617,
      collatz(383, [383, 1150, 575, 1726, 863, 2590, 1295, 3886, 1943, 5830, 2915, 8746, 4373, 13120, 6560, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 617),
     rule(3),
     ['N' = 1000, 'I' = 617, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 617)]).
step(between(0, 999, 617), builtin, [], []).
step(383 is 1000 - 617, builtin, [], []).
step(collatzTrajectory(382, [382, 191, 574, 287, 862, 431, 1294, 647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 382,
      'M' = [382, 191, 574, 287, 862, 431, 1294, 647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 618],
     [repeat(1000, 618),
      382 is 1000 - 618,
      collatz(382, [382, 191, 574, 287, 862, 431, 1294, 647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 618),
     rule(3),
     ['N' = 1000, 'I' = 618, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 618)]).
step(between(0, 999, 618), builtin, [], []).
step(382 is 1000 - 618, builtin, [], []).
step(collatzTrajectory(381, [381, 1144, 572, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 381,
      'M' = [381, 1144, 572, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 619],
     [repeat(1000, 619),
      381 is 1000 - 619,
      collatz(381, [381, 1144, 572, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 619),
     rule(3),
     ['N' = 1000, 'I' = 619, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 619)]).
step(between(0, 999, 619), builtin, [], []).
step(381 is 1000 - 619, builtin, [], []).
step(collatzTrajectory(380, [380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 380,
      'M' = [380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 620],
     [repeat(1000, 620),
      380 is 1000 - 620,
      collatz(380, [380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 620),
     rule(3),
     ['N' = 1000, 'I' = 620, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 620)]).
step(between(0, 999, 620), builtin, [], []).
step(380 is 1000 - 620, builtin, [], []).
step(collatzTrajectory(379, [379, 1138, 569, 1708, 854, 427, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 379,
      'M' = [379, 1138, 569, 1708, 854, 427, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 621],
     [repeat(1000, 621),
      379 is 1000 - 621,
      collatz(379, [379, 1138, 569, 1708, 854, 427, 1282, 641, 1924, 962, 481, 1444, 722, 361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 621),
     rule(3),
     ['N' = 1000, 'I' = 621, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 621)]).
step(between(0, 999, 621), builtin, [], []).
step(379 is 1000 - 621, builtin, [], []).
step(collatzTrajectory(378, [378, 189, 568, 284, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 378,
      'M' = [378, 189, 568, 284, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 622],
     [repeat(1000, 622),
      378 is 1000 - 622,
      collatz(378, [378, 189, 568, 284, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 622),
     rule(3),
     ['N' = 1000, 'I' = 622, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 622)]).
step(between(0, 999, 622), builtin, [], []).
step(378 is 1000 - 622, builtin, [], []).
step(collatzTrajectory(377, [377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 377,
      'M' = [377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 623],
     [repeat(1000, 623),
      377 is 1000 - 623,
      collatz(377, [377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 623),
     rule(3),
     ['N' = 1000, 'I' = 623, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 623)]).
step(between(0, 999, 623), builtin, [], []).
step(377 is 1000 - 623, builtin, [], []).
step(collatzTrajectory(376, [376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 376,
      'M' = [376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 624],
     [repeat(1000, 624),
      376 is 1000 - 624,
      collatz(376, [376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 624),
     rule(3),
     ['N' = 1000, 'I' = 624, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 624)]).
step(between(0, 999, 624), builtin, [], []).
step(376 is 1000 - 624, builtin, [], []).
step(collatzTrajectory(375, [375, 1126, 563, 1690, 845, 2536, 1268, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 375,
      'M' = [375, 1126, 563, 1690, 845, 2536, 1268, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 625],
     [repeat(1000, 625),
      375 is 1000 - 625,
      collatz(375, [375, 1126, 563, 1690, 845, 2536, 1268, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 625),
     rule(3),
     ['N' = 1000, 'I' = 625, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 625)]).
step(between(0, 999, 625), builtin, [], []).
step(375 is 1000 - 625, builtin, [], []).
step(collatzTrajectory(374, [374, 187, 562, 281, 844, 422, 211, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 374,
      'M' = [374, 187, 562, 281, 844, 422, 211, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 626],
     [repeat(1000, 626),
      374 is 1000 - 626,
      collatz(374, [374, 187, 562, 281, 844, 422, 211, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 626),
     rule(3),
     ['N' = 1000, 'I' = 626, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 626)]).
step(between(0, 999, 626), builtin, [], []).
step(374 is 1000 - 626, builtin, [], []).
step(collatzTrajectory(373, [373, 1120, 560, 280, 140, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 373,
      'M' = [373, 1120, 560, 280, 140, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 627],
     [repeat(1000, 627),
      373 is 1000 - 627,
      collatz(373, [373, 1120, 560, 280, 140, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 627),
     rule(3),
     ['N' = 1000, 'I' = 627, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 627)]).
step(between(0, 999, 627), builtin, [], []).
step(373 is 1000 - 627, builtin, [], []).
step(collatzTrajectory(372, [372, 186, 93, 280, 140, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 372,
      'M' = [372, 186, 93, 280, 140, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 628],
     [repeat(1000, 628),
      372 is 1000 - 628,
      collatz(372, [372, 186, 93, 280, 140, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 628),
     rule(3),
     ['N' = 1000, 'I' = 628, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 628)]).
step(between(0, 999, 628), builtin, [], []).
step(372 is 1000 - 628, builtin, [], []).
step(collatzTrajectory(371, [371, 1114, 557, 1672, 836, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 371,
      'M' = [371, 1114, 557, 1672, 836, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 629],
     [repeat(1000, 629),
      371 is 1000 - 629,
      collatz(371, [371, 1114, 557, 1672, 836, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 629),
     rule(3),
     ['N' = 1000, 'I' = 629, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 629)]).
step(between(0, 999, 629), builtin, [], []).
step(371 is 1000 - 629, builtin, [], []).
step(collatzTrajectory(370, [370, 185, 556, 278, 139, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 370,
      'M' = [370, 185, 556, 278, 139, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 630],
     [repeat(1000, 630),
      370 is 1000 - 630,
      collatz(370, [370, 185, 556, 278, 139, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 630),
     rule(3),
     ['N' = 1000, 'I' = 630, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 630)]).
step(between(0, 999, 630), builtin, [], []).
step(370 is 1000 - 630, builtin, [], []).
step(collatzTrajectory(369, [369, 1108, 554, 277, 832, 416, 208, 104, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 369,
      'M' = [369, 1108, 554, 277, 832, 416, 208, 104, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 631],
     [repeat(1000, 631),
      369 is 1000 - 631,
      collatz(369, [369, 1108, 554, 277, 832, 416, 208, 104, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 631),
     rule(3),
     ['N' = 1000, 'I' = 631, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 631)]).
step(between(0, 999, 631), builtin, [], []).
step(369 is 1000 - 631, builtin, [], []).
step(collatzTrajectory(368, [368, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 368,
      'M' = [368, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 632],
     [repeat(1000, 632),
      368 is 1000 - 632,
      collatz(368, [368, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 632),
     rule(3),
     ['N' = 1000, 'I' = 632, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 632)]).
step(between(0, 999, 632), builtin, [], []).
step(368 is 1000 - 632, builtin, [], []).
step(collatzTrajectory(367, [367, 1102, 551, 1654, 827, 2482, 1241, 3724, 1862, 931, 2794, 1397, 4192, 2096, 1048, 524, 262, 131, 394, 197, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 367,
      'M' = [367, 1102, 551, 1654, 827, 2482, 1241, 3724, 1862, 931, 2794, 1397, 4192, 2096, 1048, 524, 262, 131, 394, 197, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 633],
     [repeat(1000, 633),
      367 is 1000 - 633,
      collatz(367, [367, 1102, 551, 1654, 827, 2482, 1241, 3724, 1862, 931, 2794, 1397, 4192, 2096, 1048, 524, 262, 131, 394, 197, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 633),
     rule(3),
     ['N' = 1000, 'I' = 633, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 633)]).
step(between(0, 999, 633), builtin, [], []).
step(367 is 1000 - 633, builtin, [], []).
step(collatzTrajectory(366, [366, 183, 550, 275, 826, 413, 1240, 620, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 366,
      'M' = [366, 183, 550, 275, 826, 413, 1240, 620, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 634],
     [repeat(1000, 634),
      366 is 1000 - 634,
      collatz(366, [366, 183, 550, 275, 826, 413, 1240, 620, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 634),
     rule(3),
     ['N' = 1000, 'I' = 634, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 634)]).
step(between(0, 999, 634), builtin, [], []).
step(366 is 1000 - 634, builtin, [], []).
step(collatzTrajectory(365, [365, 1096, 548, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 365,
      'M' = [365, 1096, 548, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 635],
     [repeat(1000, 635),
      365 is 1000 - 635,
      collatz(365, [365, 1096, 548, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 635),
     rule(3),
     ['N' = 1000, 'I' = 635, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 635)]).
step(between(0, 999, 635), builtin, [], []).
step(365 is 1000 - 635, builtin, [], []).
step(collatzTrajectory(364, [364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 364,
      'M' = [364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 636],
     [repeat(1000, 636),
      364 is 1000 - 636,
      collatz(364, [364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 636),
     rule(3),
     ['N' = 1000, 'I' = 636, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 636)]).
step(between(0, 999, 636), builtin, [], []).
step(364 is 1000 - 636, builtin, [], []).
step(collatzTrajectory(363, [363, 1090, 545, 1636, 818, 409, 1228, 614, 307, 922, 461, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 363,
      'M' = [363, 1090, 545, 1636, 818, 409, 1228, 614, 307, 922, 461, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 637],
     [repeat(1000, 637),
      363 is 1000 - 637,
      collatz(363, [363, 1090, 545, 1636, 818, 409, 1228, 614, 307, 922, 461, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 637),
     rule(3),
     ['N' = 1000, 'I' = 637, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 637)]).
step(between(0, 999, 637), builtin, [], []).
step(363 is 1000 - 637, builtin, [], []).
step(collatzTrajectory(362, [362, 181, 544, 272, 136, 68, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 362,
      'M' = [362, 181, 544, 272, 136, 68, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 638],
     [repeat(1000, 638),
      362 is 1000 - 638,
      collatz(362, [362, 181, 544, 272, 136, 68, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 638),
     rule(3),
     ['N' = 1000, 'I' = 638, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 638)]).
step(between(0, 999, 638), builtin, [], []).
step(362 is 1000 - 638, builtin, [], []).
step(collatzTrajectory(361, [361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 361,
      'M' = [361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 639],
     [repeat(1000, 639),
      361 is 1000 - 639,
      collatz(361, [361, 1084, 542, 271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 639),
     rule(3),
     ['N' = 1000, 'I' = 639, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 639)]).
step(between(0, 999, 639), builtin, [], []).
step(361 is 1000 - 639, builtin, [], []).
step(collatzTrajectory(360, [360, 180, 90, 45, 136, 68, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 360,
      'M' = [360, 180, 90, 45, 136, 68, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 640],
     [repeat(1000, 640),
      360 is 1000 - 640,
      collatz(360, [360, 180, 90, 45, 136, 68, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 640),
     rule(3),
     ['N' = 1000, 'I' = 640, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 640)]).
step(between(0, 999, 640), builtin, [], []).
step(360 is 1000 - 640, builtin, [], []).
step(collatzTrajectory(359, [359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 359,
      'M' = [359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 641],
     [repeat(1000, 641),
      359 is 1000 - 641,
      collatz(359, [359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 641),
     rule(3),
     ['N' = 1000, 'I' = 641, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 641)]).
step(between(0, 999, 641), builtin, [], []).
step(359 is 1000 - 641, builtin, [], []).
step(collatzTrajectory(358, [358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 358,
      'M' = [358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 642],
     [repeat(1000, 642),
      358 is 1000 - 642,
      collatz(358, [358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 642),
     rule(3),
     ['N' = 1000, 'I' = 642, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 642)]).
step(between(0, 999, 642), builtin, [], []).
step(358 is 1000 - 642, builtin, [], []).
step(collatzTrajectory(357, [357, 1072, 536, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 357,
      'M' = [357, 1072, 536, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 643],
     [repeat(1000, 643),
      357 is 1000 - 643,
      collatz(357, [357, 1072, 536, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 643),
     rule(3),
     ['N' = 1000, 'I' = 643, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 643)]).
step(between(0, 999, 643), builtin, [], []).
step(357 is 1000 - 643, builtin, [], []).
step(collatzTrajectory(356, [356, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 356,
      'M' = [356, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 644],
     [repeat(1000, 644),
      356 is 1000 - 644,
      collatz(356, [356, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 644),
     rule(3),
     ['N' = 1000, 'I' = 644, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 644)]).
step(between(0, 999, 644), builtin, [], []).
step(356 is 1000 - 644, builtin, [], []).
step(collatzTrajectory(355, [355, 1066, 533, 1600, 800, 400, 200, 100, 50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 355,
      'M' = [355, 1066, 533, 1600, 800, 400, 200, 100, 50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 645],
     [repeat(1000, 645),
      355 is 1000 - 645,
      collatz(355, [355, 1066, 533, 1600, 800, 400, 200, 100, 50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 645),
     rule(3),
     ['N' = 1000, 'I' = 645, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 645)]).
step(between(0, 999, 645), builtin, [], []).
step(355 is 1000 - 645, builtin, [], []).
step(collatzTrajectory(354, [354, 177, 532, 266, 133, 400, 200, 100, 50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 354,
      'M' = [354, 177, 532, 266, 133, 400, 200, 100, 50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 646],
     [repeat(1000, 646),
      354 is 1000 - 646,
      collatz(354, [354, 177, 532, 266, 133, 400, 200, 100, 50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 646),
     rule(3),
     ['N' = 1000, 'I' = 646, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 646)]).
step(between(0, 999, 646), builtin, [], []).
step(354 is 1000 - 646, builtin, [], []).
step(collatzTrajectory(353, [353, 1060, 530, 265, 796, 398, 199, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 353,
      'M' = [353, 1060, 530, 265, 796, 398, 199, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 647],
     [repeat(1000, 647),
      353 is 1000 - 647,
      collatz(353, [353, 1060, 530, 265, 796, 398, 199, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 647),
     rule(3),
     ['N' = 1000, 'I' = 647, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 647)]).
step(between(0, 999, 647), builtin, [], []).
step(353 is 1000 - 647, builtin, [], []).
step(collatzTrajectory(352, [352, 176, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 352,
      'M' = [352, 176, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 648],
     [repeat(1000, 648),
      352 is 1000 - 648,
      collatz(352, [352, 176, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 648),
     rule(3),
     ['N' = 1000, 'I' = 648, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 648)]).
step(between(0, 999, 648), builtin, [], []).
step(352 is 1000 - 648, builtin, [], []).
step(collatzTrajectory(351, [351, 1054, 527, 1582, 791, 2374, 1187, 3562, 1781, 5344, 2672, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 351,
      'M' = [351, 1054, 527, 1582, 791, 2374, 1187, 3562, 1781, 5344, 2672, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 649],
     [repeat(1000, 649),
      351 is 1000 - 649,
      collatz(351, [351, 1054, 527, 1582, 791, 2374, 1187, 3562, 1781, 5344, 2672, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 649),
     rule(3),
     ['N' = 1000, 'I' = 649, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 649)]).
step(between(0, 999, 649), builtin, [], []).
step(351 is 1000 - 649, builtin, [], []).
step(collatzTrajectory(350, [350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 350,
      'M' = [350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 650],
     [repeat(1000, 650),
      350 is 1000 - 650,
      collatz(350, [350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 650),
     rule(3),
     ['N' = 1000, 'I' = 650, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 650)]).
step(between(0, 999, 650), builtin, [], []).
step(350 is 1000 - 650, builtin, [], []).
step(collatzTrajectory(349, [349, 1048, 524, 262, 131, 394, 197, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 349,
      'M' = [349, 1048, 524, 262, 131, 394, 197, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 651],
     [repeat(1000, 651),
      349 is 1000 - 651,
      collatz(349, [349, 1048, 524, 262, 131, 394, 197, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 651),
     rule(3),
     ['N' = 1000, 'I' = 651, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 651)]).
step(between(0, 999, 651), builtin, [], []).
step(349 is 1000 - 651, builtin, [], []).
step(collatzTrajectory(348, [348, 174, 87, 262, 131, 394, 197, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 348,
      'M' = [348, 174, 87, 262, 131, 394, 197, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 652],
     [repeat(1000, 652),
      348 is 1000 - 652,
      collatz(348, [348, 174, 87, 262, 131, 394, 197, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 652),
     rule(3),
     ['N' = 1000, 'I' = 652, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 652)]).
step(between(0, 999, 652), builtin, [], []).
step(348 is 1000 - 652, builtin, [], []).
step(collatzTrajectory(347, [347, 1042, 521, 1564, 782, 391, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 347,
      'M' = [347, 1042, 521, 1564, 782, 391, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 653],
     [repeat(1000, 653),
      347 is 1000 - 653,
      collatz(347, [347, 1042, 521, 1564, 782, 391, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 653),
     rule(3),
     ['N' = 1000, 'I' = 653, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 653)]).
step(between(0, 999, 653), builtin, [], []).
step(347 is 1000 - 653, builtin, [], []).
step(collatzTrajectory(346, [346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 346,
      'M' = [346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 654],
     [repeat(1000, 654),
      346 is 1000 - 654,
      collatz(346, [346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 654),
     rule(3),
     ['N' = 1000, 'I' = 654, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 654)]).
step(between(0, 999, 654), builtin, [], []).
step(346 is 1000 - 654, builtin, [], []).
step(collatzTrajectory(345, [345, 1036, 518, 259, 778, 389, 1168, 584, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 345,
      'M' = [345, 1036, 518, 259, 778, 389, 1168, 584, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 655],
     [repeat(1000, 655),
      345 is 1000 - 655,
      collatz(345, [345, 1036, 518, 259, 778, 389, 1168, 584, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 655),
     rule(3),
     ['N' = 1000, 'I' = 655, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 655)]).
step(between(0, 999, 655), builtin, [], []).
step(345 is 1000 - 655, builtin, [], []).
step(collatzTrajectory(344, [344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 344,
      'M' = [344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 656],
     [repeat(1000, 656),
      344 is 1000 - 656,
      collatz(344, [344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 656),
     rule(3),
     ['N' = 1000, 'I' = 656, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 656)]).
step(between(0, 999, 656), builtin, [], []).
step(344 is 1000 - 656, builtin, [], []).
step(collatzTrajectory(343, [343, 1030, 515, 1546, 773, 2320, 1160, 580, 290, 145, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 343,
      'M' = [343, 1030, 515, 1546, 773, 2320, 1160, 580, 290, 145, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 657],
     [repeat(1000, 657),
      343 is 1000 - 657,
      collatz(343, [343, 1030, 515, 1546, 773, 2320, 1160, 580, 290, 145, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 657),
     rule(3),
     ['N' = 1000, 'I' = 657, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 657)]).
step(between(0, 999, 657), builtin, [], []).
step(343 is 1000 - 657, builtin, [], []).
step(collatzTrajectory(342, [342, 171, 514, 257, 772, 386, 193, 580, 290, 145, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 342,
      'M' = [342, 171, 514, 257, 772, 386, 193, 580, 290, 145, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 658],
     [repeat(1000, 658),
      342 is 1000 - 658,
      collatz(342, [342, 171, 514, 257, 772, 386, 193, 580, 290, 145, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 658),
     rule(3),
     ['N' = 1000, 'I' = 658, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 658)]).
step(between(0, 999, 658), builtin, [], []).
step(342 is 1000 - 658, builtin, [], []).
step(collatzTrajectory(341, [341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 341, 'M' = [341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1], 'N0' = 659],
     [repeat(1000, 659),
      341 is 1000 - 659,
      collatz(341, [341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1])]).
step(repeat(1000, 659),
     rule(3),
     ['N' = 1000, 'I' = 659, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 659)]).
step(between(0, 999, 659), builtin, [], []).
step(341 is 1000 - 659, builtin, [], []).
step(collatzTrajectory(340, [340, 170, 85, 256, 128, 64, 32, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 340, 'M' = [340, 170, 85, 256, 128, 64, 32, 16, 8, 4, 2, 1], 'N0' = 660],
     [repeat(1000, 660),
      340 is 1000 - 660,
      collatz(340, [340, 170, 85, 256, 128, 64, 32, 16, 8, 4, 2, 1])]).
step(repeat(1000, 660),
     rule(3),
     ['N' = 1000, 'I' = 660, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 660)]).
step(between(0, 999, 660), builtin, [], []).
step(340 is 1000 - 660, builtin, [], []).
step(collatzTrajectory(339, [339, 1018, 509, 1528, 764, 382, 191, 574, 287, 862, 431, 1294, 647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 339,
      'M' = [339, 1018, 509, 1528, 764, 382, 191, 574, 287, 862, 431, 1294, 647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 661],
     [repeat(1000, 661),
      339 is 1000 - 661,
      collatz(339, [339, 1018, 509, 1528, 764, 382, 191, 574, 287, 862, 431, 1294, 647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 661),
     rule(3),
     ['N' = 1000, 'I' = 661, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 661)]).
step(between(0, 999, 661), builtin, [], []).
step(339 is 1000 - 661, builtin, [], []).
step(collatzTrajectory(338, [338, 169, 508, 254, 127, 382, 191, 574, 287, 862, 431, 1294, 647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 338,
      'M' = [338, 169, 508, 254, 127, 382, 191, 574, 287, 862, 431, 1294, 647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 662],
     [repeat(1000, 662),
      338 is 1000 - 662,
      collatz(338, [338, 169, 508, 254, 127, 382, 191, 574, 287, 862, 431, 1294, 647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 662),
     rule(3),
     ['N' = 1000, 'I' = 662, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 662)]).
step(between(0, 999, 662), builtin, [], []).
step(338 is 1000 - 662, builtin, [], []).
step(collatzTrajectory(337, [337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 337,
      'M' = [337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 663],
     [repeat(1000, 663),
      337 is 1000 - 663,
      collatz(337, [337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 663),
     rule(3),
     ['N' = 1000, 'I' = 663, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 663)]).
step(between(0, 999, 663), builtin, [], []).
step(337 is 1000 - 663, builtin, [], []).
step(collatzTrajectory(336, [336, 168, 84, 42, 21, 64, 32, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 336, 'M' = [336, 168, 84, 42, 21, 64, 32, 16, 8, 4, 2, 1], 'N0' = 664],
     [repeat(1000, 664),
      336 is 1000 - 664,
      collatz(336, [336, 168, 84, 42, 21, 64, 32, 16, 8, 4, 2, 1])]).
step(repeat(1000, 664),
     rule(3),
     ['N' = 1000, 'I' = 664, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 664)]).
step(between(0, 999, 664), builtin, [], []).
step(336 is 1000 - 664, builtin, [], []).
step(collatzTrajectory(335, [335, 1006, 503, 1510, 755, 2266, 1133, 3400, 1700, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 335,
      'M' = [335, 1006, 503, 1510, 755, 2266, 1133, 3400, 1700, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 665],
     [repeat(1000, 665),
      335 is 1000 - 665,
      collatz(335, [335, 1006, 503, 1510, 755, 2266, 1133, 3400, 1700, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 665),
     rule(3),
     ['N' = 1000, 'I' = 665, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 665)]).
step(between(0, 999, 665), builtin, [], []).
step(335 is 1000 - 665, builtin, [], []).
step(collatzTrajectory(334, [334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 334,
      'M' = [334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 666],
     [repeat(1000, 666),
      334 is 1000 - 666,
      collatz(334, [334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 666),
     rule(3),
     ['N' = 1000, 'I' = 666, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 666)]).
step(between(0, 999, 666), builtin, [], []).
step(334 is 1000 - 666, builtin, [], []).
step(collatzTrajectory(333, [333, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 333,
      'M' = [333, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 667],
     [repeat(1000, 667),
      333 is 1000 - 667,
      collatz(333, [333, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 667),
     rule(3),
     ['N' = 1000, 'I' = 667, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 667)]).
step(between(0, 999, 667), builtin, [], []).
step(333 is 1000 - 667, builtin, [], []).
step(collatzTrajectory(332, [332, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 332,
      'M' = [332, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 668],
     [repeat(1000, 668),
      332 is 1000 - 668,
      collatz(332, [332, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 668),
     rule(3),
     ['N' = 1000, 'I' = 668, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 668)]).
step(between(0, 999, 668), builtin, [], []).
step(332 is 1000 - 668, builtin, [], []).
step(collatzTrajectory(331, [331, 994, 497, 1492, 746, 373, 1120, 560, 280, 140, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 331,
      'M' = [331, 994, 497, 1492, 746, 373, 1120, 560, 280, 140, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 669],
     [repeat(1000, 669),
      331 is 1000 - 669,
      collatz(331, [331, 994, 497, 1492, 746, 373, 1120, 560, 280, 140, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 669),
     rule(3),
     ['N' = 1000, 'I' = 669, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 669)]).
step(between(0, 999, 669), builtin, [], []).
step(331 is 1000 - 669, builtin, [], []).
step(collatzTrajectory(330, [330, 165, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 330,
      'M' = [330, 165, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 670],
     [repeat(1000, 670),
      330 is 1000 - 670,
      collatz(330, [330, 165, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 670),
     rule(3),
     ['N' = 1000, 'I' = 670, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 670)]).
step(between(0, 999, 670), builtin, [], []).
step(330 is 1000 - 670, builtin, [], []).
step(collatzTrajectory(329, [329, 988, 494, 247, 742, 371, 1114, 557, 1672, 836, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 329,
      'M' = [329, 988, 494, 247, 742, 371, 1114, 557, 1672, 836, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 671],
     [repeat(1000, 671),
      329 is 1000 - 671,
      collatz(329, [329, 988, 494, 247, 742, 371, 1114, 557, 1672, 836, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 671),
     rule(3),
     ['N' = 1000, 'I' = 671, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 671)]).
step(between(0, 999, 671), builtin, [], []).
step(329 is 1000 - 671, builtin, [], []).
step(collatzTrajectory(328, [328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 328,
      'M' = [328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 672],
     [repeat(1000, 672),
      328 is 1000 - 672,
      collatz(328, [328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 672),
     rule(3),
     ['N' = 1000, 'I' = 672, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 672)]).
step(between(0, 999, 672), builtin, [], []).
step(328 is 1000 - 672, builtin, [], []).
step(collatzTrajectory(327, [327, 982, 491, 1474, 737, 2212, 1106, 553, 1660, 830, 415, 1246, 623, 1870, 935, 2806, 1403, 4210, 2105, 6316, 3158, 1579, 4738, 2369, 7108, 3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 327,
      'M' = [327, 982, 491, 1474, 737, 2212, 1106, 553, 1660, 830, 415, 1246, 623, 1870, 935, 2806, 1403, 4210, 2105, 6316, 3158, 1579, 4738, 2369, 7108, 3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 673],
     [repeat(1000, 673),
      327 is 1000 - 673,
      collatz(327, [327, 982, 491, 1474, 737, 2212, 1106, 553, 1660, 830, 415, 1246, 623, 1870, 935, 2806, 1403, 4210, 2105, 6316, 3158, 1579, 4738, 2369, 7108, 3554, 1777, 5332, 2666, 1333, 4000, 2000, 1000, 500, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 673),
     rule(3),
     ['N' = 1000, 'I' = 673, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 673)]).
step(between(0, 999, 673), builtin, [], []).
step(327 is 1000 - 673, builtin, [], []).
step(collatzTrajectory(326, [326, 163, 490, 245, 736, 368, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 326,
      'M' = [326, 163, 490, 245, 736, 368, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 674],
     [repeat(1000, 674),
      326 is 1000 - 674,
      collatz(326, [326, 163, 490, 245, 736, 368, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 674),
     rule(3),
     ['N' = 1000, 'I' = 674, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 674)]).
step(between(0, 999, 674), builtin, [], []).
step(326 is 1000 - 674, builtin, [], []).
step(collatzTrajectory(325, [325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 325,
      'M' = [325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 675],
     [repeat(1000, 675),
      325 is 1000 - 675,
      collatz(325, [325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 675),
     rule(3),
     ['N' = 1000, 'I' = 675, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 675)]).
step(between(0, 999, 675), builtin, [], []).
step(325 is 1000 - 675, builtin, [], []).
step(collatzTrajectory(324, [324, 162, 81, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 324,
      'M' = [324, 162, 81, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 676],
     [repeat(1000, 676),
      324 is 1000 - 676,
      collatz(324, [324, 162, 81, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 676),
     rule(3),
     ['N' = 1000, 'I' = 676, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 676)]).
step(between(0, 999, 676), builtin, [], []).
step(324 is 1000 - 676, builtin, [], []).
step(collatzTrajectory(323, [323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 323,
      'M' = [323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 677],
     [repeat(1000, 677),
      323 is 1000 - 677,
      collatz(323, [323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 677),
     rule(3),
     ['N' = 1000, 'I' = 677, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 677)]).
step(between(0, 999, 677), builtin, [], []).
step(323 is 1000 - 677, builtin, [], []).
step(collatzTrajectory(322, [322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 322,
      'M' = [322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 678],
     [repeat(1000, 678),
      322 is 1000 - 678,
      collatz(322, [322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 678),
     rule(3),
     ['N' = 1000, 'I' = 678, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 678)]).
step(between(0, 999, 678), builtin, [], []).
step(322 is 1000 - 678, builtin, [], []).
step(collatzTrajectory(321, [321, 964, 482, 241, 724, 362, 181, 544, 272, 136, 68, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 321,
      'M' = [321, 964, 482, 241, 724, 362, 181, 544, 272, 136, 68, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 679],
     [repeat(1000, 679),
      321 is 1000 - 679,
      collatz(321, [321, 964, 482, 241, 724, 362, 181, 544, 272, 136, 68, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 679),
     rule(3),
     ['N' = 1000, 'I' = 679, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 679)]).
step(between(0, 999, 679), builtin, [], []).
step(321 is 1000 - 679, builtin, [], []).
step(collatzTrajectory(320, [320, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 320, 'M' = [320, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1], 'N0' = 680],
     [repeat(1000, 680),
      320 is 1000 - 680,
      collatz(320, [320, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 680),
     rule(3),
     ['N' = 1000, 'I' = 680, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 680)]).
step(between(0, 999, 680), builtin, [], []).
step(320 is 1000 - 680, builtin, [], []).
step(collatzTrajectory(319, [319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 319,
      'M' = [319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 681],
     [repeat(1000, 681),
      319 is 1000 - 681,
      collatz(319, [319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 681),
     rule(3),
     ['N' = 1000, 'I' = 681, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 681)]).
step(between(0, 999, 681), builtin, [], []).
step(319 is 1000 - 681, builtin, [], []).
step(collatzTrajectory(318, [318, 159, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 318,
      'M' = [318, 159, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 682],
     [repeat(1000, 682),
      318 is 1000 - 682,
      collatz(318, [318, 159, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 682),
     rule(3),
     ['N' = 1000, 'I' = 682, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 682)]).
step(between(0, 999, 682), builtin, [], []).
step(318 is 1000 - 682, builtin, [], []).
step(collatzTrajectory(317, [317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 317,
      'M' = [317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 683],
     [repeat(1000, 683),
      317 is 1000 - 683,
      collatz(317, [317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 683),
     rule(3),
     ['N' = 1000, 'I' = 683, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 683)]).
step(between(0, 999, 683), builtin, [], []).
step(317 is 1000 - 683, builtin, [], []).
step(collatzTrajectory(316, [316, 158, 79, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 316,
      'M' = [316, 158, 79, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 684],
     [repeat(1000, 684),
      316 is 1000 - 684,
      collatz(316, [316, 158, 79, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 684),
     rule(3),
     ['N' = 1000, 'I' = 684, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 684)]).
step(between(0, 999, 684), builtin, [], []).
step(316 is 1000 - 684, builtin, [], []).
step(collatzTrajectory(315, [315, 946, 473, 1420, 710, 355, 1066, 533, 1600, 800, 400, 200, 100, 50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 315,
      'M' = [315, 946, 473, 1420, 710, 355, 1066, 533, 1600, 800, 400, 200, 100, 50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 685],
     [repeat(1000, 685),
      315 is 1000 - 685,
      collatz(315, [315, 946, 473, 1420, 710, 355, 1066, 533, 1600, 800, 400, 200, 100, 50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 685),
     rule(3),
     ['N' = 1000, 'I' = 685, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 685)]).
step(between(0, 999, 685), builtin, [], []).
step(315 is 1000 - 685, builtin, [], []).
step(collatzTrajectory(314, [314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 314,
      'M' = [314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 686],
     [repeat(1000, 686),
      314 is 1000 - 686,
      collatz(314, [314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 686),
     rule(3),
     ['N' = 1000, 'I' = 686, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 686)]).
step(between(0, 999, 686), builtin, [], []).
step(314 is 1000 - 686, builtin, [], []).
step(collatzTrajectory(313, [313, 940, 470, 235, 706, 353, 1060, 530, 265, 796, 398, 199, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 313,
      'M' = [313, 940, 470, 235, 706, 353, 1060, 530, 265, 796, 398, 199, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 687],
     [repeat(1000, 687),
      313 is 1000 - 687,
      collatz(313, [313, 940, 470, 235, 706, 353, 1060, 530, 265, 796, 398, 199, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 687),
     rule(3),
     ['N' = 1000, 'I' = 687, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 687)]).
step(between(0, 999, 687), builtin, [], []).
step(313 is 1000 - 687, builtin, [], []).
step(collatzTrajectory(312, [312, 156, 78, 39, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 312,
      'M' = [312, 156, 78, 39, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 688],
     [repeat(1000, 688),
      312 is 1000 - 688,
      collatz(312, [312, 156, 78, 39, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 688),
     rule(3),
     ['N' = 1000, 'I' = 688, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 688)]).
step(between(0, 999, 688), builtin, [], []).
step(312 is 1000 - 688, builtin, [], []).
step(collatzTrajectory(311, [311, 934, 467, 1402, 701, 2104, 1052, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 311,
      'M' = [311, 934, 467, 1402, 701, 2104, 1052, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 689],
     [repeat(1000, 689),
      311 is 1000 - 689,
      collatz(311, [311, 934, 467, 1402, 701, 2104, 1052, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 689),
     rule(3),
     ['N' = 1000, 'I' = 689, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 689)]).
step(between(0, 999, 689), builtin, [], []).
step(311 is 1000 - 689, builtin, [], []).
step(collatzTrajectory(310, [310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 310,
      'M' = [310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 690],
     [repeat(1000, 690),
      310 is 1000 - 690,
      collatz(310, [310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 690),
     rule(3),
     ['N' = 1000, 'I' = 690, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 690)]).
step(between(0, 999, 690), builtin, [], []).
step(310 is 1000 - 690, builtin, [], []).
step(collatzTrajectory(309, [309, 928, 464, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 309,
      'M' = [309, 928, 464, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 691],
     [repeat(1000, 691),
      309 is 1000 - 691,
      collatz(309, [309, 928, 464, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 691),
     rule(3),
     ['N' = 1000, 'I' = 691, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 691)]).
step(between(0, 999, 691), builtin, [], []).
step(309 is 1000 - 691, builtin, [], []).
step(collatzTrajectory(308, [308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 308,
      'M' = [308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 692],
     [repeat(1000, 692),
      308 is 1000 - 692,
      collatz(308, [308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 692),
     rule(3),
     ['N' = 1000, 'I' = 692, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 692)]).
step(between(0, 999, 692), builtin, [], []).
step(308 is 1000 - 692, builtin, [], []).
step(collatzTrajectory(307, [307, 922, 461, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 307,
      'M' = [307, 922, 461, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 693],
     [repeat(1000, 693),
      307 is 1000 - 693,
      collatz(307, [307, 922, 461, 1384, 692, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 693),
     rule(3),
     ['N' = 1000, 'I' = 693, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 693)]).
step(between(0, 999, 693), builtin, [], []).
step(307 is 1000 - 693, builtin, [], []).
step(collatzTrajectory(306, [306, 153, 460, 230, 115, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 306,
      'M' = [306, 153, 460, 230, 115, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 694],
     [repeat(1000, 694),
      306 is 1000 - 694,
      collatz(306, [306, 153, 460, 230, 115, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 694),
     rule(3),
     ['N' = 1000, 'I' = 694, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 694)]).
step(between(0, 999, 694), builtin, [], []).
step(306 is 1000 - 694, builtin, [], []).
step(collatzTrajectory(305, [305, 916, 458, 229, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 305,
      'M' = [305, 916, 458, 229, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 695],
     [repeat(1000, 695),
      305 is 1000 - 695,
      collatz(305, [305, 916, 458, 229, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 695),
     rule(3),
     ['N' = 1000, 'I' = 695, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 695)]).
step(between(0, 999, 695), builtin, [], []).
step(305 is 1000 - 695, builtin, [], []).
step(collatzTrajectory(304, [304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 304,
      'M' = [304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 696],
     [repeat(1000, 696),
      304 is 1000 - 696,
      collatz(304, [304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 696),
     rule(3),
     ['N' = 1000, 'I' = 696, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 696)]).
step(between(0, 999, 696), builtin, [], []).
step(304 is 1000 - 696, builtin, [], []).
step(collatzTrajectory(303, [303, 910, 455, 1366, 683, 2050, 1025, 3076, 1538, 769, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 303,
      'M' = [303, 910, 455, 1366, 683, 2050, 1025, 3076, 1538, 769, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 697],
     [repeat(1000, 697),
      303 is 1000 - 697,
      collatz(303, [303, 910, 455, 1366, 683, 2050, 1025, 3076, 1538, 769, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 697),
     rule(3),
     ['N' = 1000, 'I' = 697, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 697)]).
step(between(0, 999, 697), builtin, [], []).
step(303 is 1000 - 697, builtin, [], []).
step(collatzTrajectory(302, [302, 151, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 302,
      'M' = [302, 151, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1],
      'N0' = 698],
     [repeat(1000, 698),
      302 is 1000 - 698,
      collatz(302, [302, 151, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1])]).
step(repeat(1000, 698),
     rule(3),
     ['N' = 1000, 'I' = 698, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 698)]).
step(between(0, 999, 698), builtin, [], []).
step(302 is 1000 - 698, builtin, [], []).
step(collatzTrajectory(301, [301, 904, 452, 226, 113, 340, 170, 85, 256, 128, 64, 32, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 301,
      'M' = [301, 904, 452, 226, 113, 340, 170, 85, 256, 128, 64, 32, 16, 8, 4, 2, 1],
      'N0' = 699],
     [repeat(1000, 699),
      301 is 1000 - 699,
      collatz(301, [301, 904, 452, 226, 113, 340, 170, 85, 256, 128, 64, 32, 16, 8, 4, 2, 1])]).
step(repeat(1000, 699),
     rule(3),
     ['N' = 1000, 'I' = 699, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 699)]).
step(between(0, 999, 699), builtin, [], []).
step(301 is 1000 - 699, builtin, [], []).
step(collatzTrajectory(300, [300, 150, 75, 226, 113, 340, 170, 85, 256, 128, 64, 32, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 300,
      'M' = [300, 150, 75, 226, 113, 340, 170, 85, 256, 128, 64, 32, 16, 8, 4, 2, 1],
      'N0' = 700],
     [repeat(1000, 700),
      300 is 1000 - 700,
      collatz(300, [300, 150, 75, 226, 113, 340, 170, 85, 256, 128, 64, 32, 16, 8, 4, 2, 1])]).
step(repeat(1000, 700),
     rule(3),
     ['N' = 1000, 'I' = 700, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 700)]).
step(between(0, 999, 700), builtin, [], []).
step(300 is 1000 - 700, builtin, [], []).
step(collatzTrajectory(299, [299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 299,
      'M' = [299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 701],
     [repeat(1000, 701),
      299 is 1000 - 701,
      collatz(299, [299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 701),
     rule(3),
     ['N' = 1000, 'I' = 701, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 701)]).
step(between(0, 999, 701), builtin, [], []).
step(299 is 1000 - 701, builtin, [], []).
step(collatzTrajectory(298, [298, 149, 448, 224, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 298,
      'M' = [298, 149, 448, 224, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 702],
     [repeat(1000, 702),
      298 is 1000 - 702,
      collatz(298, [298, 149, 448, 224, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 702),
     rule(3),
     ['N' = 1000, 'I' = 702, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 702)]).
step(between(0, 999, 702), builtin, [], []).
step(298 is 1000 - 702, builtin, [], []).
step(collatzTrajectory(297, [297, 892, 446, 223, 670, 335, 1006, 503, 1510, 755, 2266, 1133, 3400, 1700, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 297,
      'M' = [297, 892, 446, 223, 670, 335, 1006, 503, 1510, 755, 2266, 1133, 3400, 1700, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 703],
     [repeat(1000, 703),
      297 is 1000 - 703,
      collatz(297, [297, 892, 446, 223, 670, 335, 1006, 503, 1510, 755, 2266, 1133, 3400, 1700, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 703),
     rule(3),
     ['N' = 1000, 'I' = 703, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 703)]).
step(between(0, 999, 703), builtin, [], []).
step(297 is 1000 - 703, builtin, [], []).
step(collatzTrajectory(296, [296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 296,
      'M' = [296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 704],
     [repeat(1000, 704),
      296 is 1000 - 704,
      collatz(296, [296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 704),
     rule(3),
     ['N' = 1000, 'I' = 704, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 704)]).
step(between(0, 999, 704), builtin, [], []).
step(296 is 1000 - 704, builtin, [], []).
step(collatzTrajectory(295, [295, 886, 443, 1330, 665, 1996, 998, 499, 1498, 749, 2248, 1124, 562, 281, 844, 422, 211, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 295,
      'M' = [295, 886, 443, 1330, 665, 1996, 998, 499, 1498, 749, 2248, 1124, 562, 281, 844, 422, 211, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 705],
     [repeat(1000, 705),
      295 is 1000 - 705,
      collatz(295, [295, 886, 443, 1330, 665, 1996, 998, 499, 1498, 749, 2248, 1124, 562, 281, 844, 422, 211, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 705),
     rule(3),
     ['N' = 1000, 'I' = 705, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 705)]).
step(between(0, 999, 705), builtin, [], []).
step(295 is 1000 - 705, builtin, [], []).
step(collatzTrajectory(294, [294, 147, 442, 221, 664, 332, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 294,
      'M' = [294, 147, 442, 221, 664, 332, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 706],
     [repeat(1000, 706),
      294 is 1000 - 706,
      collatz(294, [294, 147, 442, 221, 664, 332, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 706),
     rule(3),
     ['N' = 1000, 'I' = 706, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 706)]).
step(between(0, 999, 706), builtin, [], []).
step(294 is 1000 - 706, builtin, [], []).
step(collatzTrajectory(293, [293, 880, 440, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 293,
      'M' = [293, 880, 440, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 707],
     [repeat(1000, 707),
      293 is 1000 - 707,
      collatz(293, [293, 880, 440, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 707),
     rule(3),
     ['N' = 1000, 'I' = 707, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 707)]).
step(between(0, 999, 707), builtin, [], []).
step(293 is 1000 - 707, builtin, [], []).
step(collatzTrajectory(292, [292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 292,
      'M' = [292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 708],
     [repeat(1000, 708),
      292 is 1000 - 708,
      collatz(292, [292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 708),
     rule(3),
     ['N' = 1000, 'I' = 708, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 708)]).
step(between(0, 999, 708), builtin, [], []).
step(292 is 1000 - 708, builtin, [], []).
step(collatzTrajectory(291, [291, 874, 437, 1312, 656, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 291,
      'M' = [291, 874, 437, 1312, 656, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 709],
     [repeat(1000, 709),
      291 is 1000 - 709,
      collatz(291, [291, 874, 437, 1312, 656, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 709),
     rule(3),
     ['N' = 1000, 'I' = 709, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 709)]).
step(between(0, 999, 709), builtin, [], []).
step(291 is 1000 - 709, builtin, [], []).
step(collatzTrajectory(290, [290, 145, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 290,
      'M' = [290, 145, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 710],
     [repeat(1000, 710),
      290 is 1000 - 710,
      collatz(290, [290, 145, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 710),
     rule(3),
     ['N' = 1000, 'I' = 710, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 710)]).
step(between(0, 999, 710), builtin, [], []).
step(290 is 1000 - 710, builtin, [], []).
step(collatzTrajectory(289, [289, 868, 434, 217, 652, 326, 163, 490, 245, 736, 368, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 289,
      'M' = [289, 868, 434, 217, 652, 326, 163, 490, 245, 736, 368, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 711],
     [repeat(1000, 711),
      289 is 1000 - 711,
      collatz(289, [289, 868, 434, 217, 652, 326, 163, 490, 245, 736, 368, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 711),
     rule(3),
     ['N' = 1000, 'I' = 711, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 711)]).
step(between(0, 999, 711), builtin, [], []).
step(289 is 1000 - 711, builtin, [], []).
step(collatzTrajectory(288, [288, 144, 72, 36, 18, 9, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 288,
      'M' = [288, 144, 72, 36, 18, 9, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 712],
     [repeat(1000, 712),
      288 is 1000 - 712,
      collatz(288, [288, 144, 72, 36, 18, 9, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 712),
     rule(3),
     ['N' = 1000, 'I' = 712, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 712)]).
step(between(0, 999, 712), builtin, [], []).
step(288 is 1000 - 712, builtin, [], []).
step(collatzTrajectory(287, [287, 862, 431, 1294, 647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 287,
      'M' = [287, 862, 431, 1294, 647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 713],
     [repeat(1000, 713),
      287 is 1000 - 713,
      collatz(287, [287, 862, 431, 1294, 647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 713),
     rule(3),
     ['N' = 1000, 'I' = 713, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 713)]).
step(between(0, 999, 713), builtin, [], []).
step(287 is 1000 - 713, builtin, [], []).
step(collatzTrajectory(286, [286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 286,
      'M' = [286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 714],
     [repeat(1000, 714),
      286 is 1000 - 714,
      collatz(286, [286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 714),
     rule(3),
     ['N' = 1000, 'I' = 714, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 714)]).
step(between(0, 999, 714), builtin, [], []).
step(286 is 1000 - 714, builtin, [], []).
step(collatzTrajectory(285, [285, 856, 428, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 285,
      'M' = [285, 856, 428, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 715],
     [repeat(1000, 715),
      285 is 1000 - 715,
      collatz(285, [285, 856, 428, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 715),
     rule(3),
     ['N' = 1000, 'I' = 715, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 715)]).
step(between(0, 999, 715), builtin, [], []).
step(285 is 1000 - 715, builtin, [], []).
step(collatzTrajectory(284, [284, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 284,
      'M' = [284, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 716],
     [repeat(1000, 716),
      284 is 1000 - 716,
      collatz(284, [284, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 716),
     rule(3),
     ['N' = 1000, 'I' = 716, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 716)]).
step(between(0, 999, 716), builtin, [], []).
step(284 is 1000 - 716, builtin, [], []).
step(collatzTrajectory(283, [283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 283,
      'M' = [283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 717],
     [repeat(1000, 717),
      283 is 1000 - 717,
      collatz(283, [283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 717),
     rule(3),
     ['N' = 1000, 'I' = 717, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 717)]).
step(between(0, 999, 717), builtin, [], []).
step(283 is 1000 - 717, builtin, [], []).
step(collatzTrajectory(282, [282, 141, 424, 212, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 282,
      'M' = [282, 141, 424, 212, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 718],
     [repeat(1000, 718),
      282 is 1000 - 718,
      collatz(282, [282, 141, 424, 212, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 718),
     rule(3),
     ['N' = 1000, 'I' = 718, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 718)]).
step(between(0, 999, 718), builtin, [], []).
step(282 is 1000 - 718, builtin, [], []).
step(collatzTrajectory(281, [281, 844, 422, 211, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 281,
      'M' = [281, 844, 422, 211, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 719],
     [repeat(1000, 719),
      281 is 1000 - 719,
      collatz(281, [281, 844, 422, 211, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 719),
     rule(3),
     ['N' = 1000, 'I' = 719, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 719)]).
step(between(0, 999, 719), builtin, [], []).
step(281 is 1000 - 719, builtin, [], []).
step(collatzTrajectory(280, [280, 140, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 280,
      'M' = [280, 140, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 720],
     [repeat(1000, 720),
      280 is 1000 - 720,
      collatz(280, [280, 140, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 720),
     rule(3),
     ['N' = 1000, 'I' = 720, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 720)]).
step(between(0, 999, 720), builtin, [], []).
step(280 is 1000 - 720, builtin, [], []).
step(collatzTrajectory(279, [279, 838, 419, 1258, 629, 1888, 944, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 279,
      'M' = [279, 838, 419, 1258, 629, 1888, 944, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 721],
     [repeat(1000, 721),
      279 is 1000 - 721,
      collatz(279, [279, 838, 419, 1258, 629, 1888, 944, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 721),
     rule(3),
     ['N' = 1000, 'I' = 721, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 721)]).
step(between(0, 999, 721), builtin, [], []).
step(279 is 1000 - 721, builtin, [], []).
step(collatzTrajectory(278, [278, 139, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 278,
      'M' = [278, 139, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 722],
     [repeat(1000, 722),
      278 is 1000 - 722,
      collatz(278, [278, 139, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 722),
     rule(3),
     ['N' = 1000, 'I' = 722, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 722)]).
step(between(0, 999, 722), builtin, [], []).
step(278 is 1000 - 722, builtin, [], []).
step(collatzTrajectory(277, [277, 832, 416, 208, 104, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 277,
      'M' = [277, 832, 416, 208, 104, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 723],
     [repeat(1000, 723),
      277 is 1000 - 723,
      collatz(277, [277, 832, 416, 208, 104, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 723),
     rule(3),
     ['N' = 1000, 'I' = 723, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 723)]).
step(between(0, 999, 723), builtin, [], []).
step(277 is 1000 - 723, builtin, [], []).
step(collatzTrajectory(276, [276, 138, 69, 208, 104, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 276,
      'M' = [276, 138, 69, 208, 104, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 724],
     [repeat(1000, 724),
      276 is 1000 - 724,
      collatz(276, [276, 138, 69, 208, 104, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 724),
     rule(3),
     ['N' = 1000, 'I' = 724, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 724)]).
step(between(0, 999, 724), builtin, [], []).
step(276 is 1000 - 724, builtin, [], []).
step(collatzTrajectory(275, [275, 826, 413, 1240, 620, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 275,
      'M' = [275, 826, 413, 1240, 620, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 725],
     [repeat(1000, 725),
      275 is 1000 - 725,
      collatz(275, [275, 826, 413, 1240, 620, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 725),
     rule(3),
     ['N' = 1000, 'I' = 725, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 725)]).
step(between(0, 999, 725), builtin, [], []).
step(275 is 1000 - 725, builtin, [], []).
step(collatzTrajectory(274, [274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 274,
      'M' = [274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 726],
     [repeat(1000, 726),
      274 is 1000 - 726,
      collatz(274, [274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 726),
     rule(3),
     ['N' = 1000, 'I' = 726, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 726)]).
step(between(0, 999, 726), builtin, [], []).
step(274 is 1000 - 726, builtin, [], []).
step(collatzTrajectory(273, [273, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 273,
      'M' = [273, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 727],
     [repeat(1000, 727),
      273 is 1000 - 727,
      collatz(273, [273, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 727),
     rule(3),
     ['N' = 1000, 'I' = 727, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 727)]).
step(between(0, 999, 727), builtin, [], []).
step(273 is 1000 - 727, builtin, [], []).
step(collatzTrajectory(272, [272, 136, 68, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 272,
      'M' = [272, 136, 68, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 728],
     [repeat(1000, 728),
      272 is 1000 - 728,
      collatz(272, [272, 136, 68, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 728),
     rule(3),
     ['N' = 1000, 'I' = 728, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 728)]).
step(between(0, 999, 728), builtin, [], []).
step(272 is 1000 - 728, builtin, [], []).
step(collatzTrajectory(271, [271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 271,
      'M' = [271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 729],
     [repeat(1000, 729),
      271 is 1000 - 729,
      collatz(271, [271, 814, 407, 1222, 611, 1834, 917, 2752, 1376, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 729),
     rule(3),
     ['N' = 1000, 'I' = 729, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 729)]).
step(between(0, 999, 729), builtin, [], []).
step(271 is 1000 - 729, builtin, [], []).
step(collatzTrajectory(270, [270, 135, 406, 203, 610, 305, 916, 458, 229, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 270,
      'M' = [270, 135, 406, 203, 610, 305, 916, 458, 229, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 730],
     [repeat(1000, 730),
      270 is 1000 - 730,
      collatz(270, [270, 135, 406, 203, 610, 305, 916, 458, 229, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 730),
     rule(3),
     ['N' = 1000, 'I' = 730, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 730)]).
step(between(0, 999, 730), builtin, [], []).
step(270 is 1000 - 730, builtin, [], []).
step(collatzTrajectory(269, [269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 269,
      'M' = [269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 731],
     [repeat(1000, 731),
      269 is 1000 - 731,
      collatz(269, [269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 731),
     rule(3),
     ['N' = 1000, 'I' = 731, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 731)]).
step(between(0, 999, 731), builtin, [], []).
step(269 is 1000 - 731, builtin, [], []).
step(collatzTrajectory(268, [268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 268,
      'M' = [268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 732],
     [repeat(1000, 732),
      268 is 1000 - 732,
      collatz(268, [268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 732),
     rule(3),
     ['N' = 1000, 'I' = 732, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 732)]).
step(between(0, 999, 732), builtin, [], []).
step(268 is 1000 - 732, builtin, [], []).
step(collatzTrajectory(267, [267, 802, 401, 1204, 602, 301, 904, 452, 226, 113, 340, 170, 85, 256, 128, 64, 32, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 267,
      'M' = [267, 802, 401, 1204, 602, 301, 904, 452, 226, 113, 340, 170, 85, 256, 128, 64, 32, 16, 8, 4, 2, 1],
      'N0' = 733],
     [repeat(1000, 733),
      267 is 1000 - 733,
      collatz(267, [267, 802, 401, 1204, 602, 301, 904, 452, 226, 113, 340, 170, 85, 256, 128, 64, 32, 16, 8, 4, 2, 1])]).
step(repeat(1000, 733),
     rule(3),
     ['N' = 1000, 'I' = 733, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 733)]).
step(between(0, 999, 733), builtin, [], []).
step(267 is 1000 - 733, builtin, [], []).
step(collatzTrajectory(266, [266, 133, 400, 200, 100, 50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 266,
      'M' = [266, 133, 400, 200, 100, 50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 734],
     [repeat(1000, 734),
      266 is 1000 - 734,
      collatz(266, [266, 133, 400, 200, 100, 50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 734),
     rule(3),
     ['N' = 1000, 'I' = 734, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 734)]).
step(between(0, 999, 734), builtin, [], []).
step(266 is 1000 - 734, builtin, [], []).
step(collatzTrajectory(265, [265, 796, 398, 199, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 265,
      'M' = [265, 796, 398, 199, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 735],
     [repeat(1000, 735),
      265 is 1000 - 735,
      collatz(265, [265, 796, 398, 199, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 735),
     rule(3),
     ['N' = 1000, 'I' = 735, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 735)]).
step(between(0, 999, 735), builtin, [], []).
step(265 is 1000 - 735, builtin, [], []).
step(collatzTrajectory(264, [264, 132, 66, 33, 100, 50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 264,
      'M' = [264, 132, 66, 33, 100, 50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 736],
     [repeat(1000, 736),
      264 is 1000 - 736,
      collatz(264, [264, 132, 66, 33, 100, 50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 736),
     rule(3),
     ['N' = 1000, 'I' = 736, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 736)]).
step(between(0, 999, 736), builtin, [], []).
step(264 is 1000 - 736, builtin, [], []).
step(collatzTrajectory(263, [263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 263,
      'M' = [263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 737],
     [repeat(1000, 737),
      263 is 1000 - 737,
      collatz(263, [263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 737),
     rule(3),
     ['N' = 1000, 'I' = 737, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 737)]).
step(between(0, 999, 737), builtin, [], []).
step(263 is 1000 - 737, builtin, [], []).
step(collatzTrajectory(262, [262, 131, 394, 197, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 262,
      'M' = [262, 131, 394, 197, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 738],
     [repeat(1000, 738),
      262 is 1000 - 738,
      collatz(262, [262, 131, 394, 197, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 738),
     rule(3),
     ['N' = 1000, 'I' = 738, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 738)]).
step(between(0, 999, 738), builtin, [], []).
step(262 is 1000 - 738, builtin, [], []).
step(collatzTrajectory(261, [261, 784, 392, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 261,
      'M' = [261, 784, 392, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 739],
     [repeat(1000, 739),
      261 is 1000 - 739,
      collatz(261, [261, 784, 392, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 739),
     rule(3),
     ['N' = 1000, 'I' = 739, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 739)]).
step(between(0, 999, 739), builtin, [], []).
step(261 is 1000 - 739, builtin, [], []).
step(collatzTrajectory(260, [260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 260,
      'M' = [260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 740],
     [repeat(1000, 740),
      260 is 1000 - 740,
      collatz(260, [260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 740),
     rule(3),
     ['N' = 1000, 'I' = 740, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 740)]).
step(between(0, 999, 740), builtin, [], []).
step(260 is 1000 - 740, builtin, [], []).
step(collatzTrajectory(259, [259, 778, 389, 1168, 584, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 259,
      'M' = [259, 778, 389, 1168, 584, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 741],
     [repeat(1000, 741),
      259 is 1000 - 741,
      collatz(259, [259, 778, 389, 1168, 584, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 741),
     rule(3),
     ['N' = 1000, 'I' = 741, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 741)]).
step(between(0, 999, 741), builtin, [], []).
step(259 is 1000 - 741, builtin, [], []).
step(collatzTrajectory(258, [258, 129, 388, 194, 97, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 258,
      'M' = [258, 129, 388, 194, 97, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 742],
     [repeat(1000, 742),
      258 is 1000 - 742,
      collatz(258, [258, 129, 388, 194, 97, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 742),
     rule(3),
     ['N' = 1000, 'I' = 742, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 742)]).
step(between(0, 999, 742), builtin, [], []).
step(258 is 1000 - 742, builtin, [], []).
step(collatzTrajectory(257, [257, 772, 386, 193, 580, 290, 145, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 257,
      'M' = [257, 772, 386, 193, 580, 290, 145, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 743],
     [repeat(1000, 743),
      257 is 1000 - 743,
      collatz(257, [257, 772, 386, 193, 580, 290, 145, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 743),
     rule(3),
     ['N' = 1000, 'I' = 743, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 743)]).
step(between(0, 999, 743), builtin, [], []).
step(257 is 1000 - 743, builtin, [], []).
step(collatzTrajectory(256, [256, 128, 64, 32, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 256, 'M' = [256, 128, 64, 32, 16, 8, 4, 2, 1], 'N0' = 744],
     [repeat(1000, 744), 256 is 1000 - 744, collatz(256, [256, 128, 64, 32, 16, 8, 4, 2, 1])]).
step(repeat(1000, 744),
     rule(3),
     ['N' = 1000, 'I' = 744, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 744)]).
step(between(0, 999, 744), builtin, [], []).
step(256 is 1000 - 744, builtin, [], []).
step(collatzTrajectory(255, [255, 766, 383, 1150, 575, 1726, 863, 2590, 1295, 3886, 1943, 5830, 2915, 8746, 4373, 13120, 6560, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 255,
      'M' = [255, 766, 383, 1150, 575, 1726, 863, 2590, 1295, 3886, 1943, 5830, 2915, 8746, 4373, 13120, 6560, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 745],
     [repeat(1000, 745),
      255 is 1000 - 745,
      collatz(255, [255, 766, 383, 1150, 575, 1726, 863, 2590, 1295, 3886, 1943, 5830, 2915, 8746, 4373, 13120, 6560, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 745),
     rule(3),
     ['N' = 1000, 'I' = 745, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 745)]).
step(between(0, 999, 745), builtin, [], []).
step(255 is 1000 - 745, builtin, [], []).
step(collatzTrajectory(254, [254, 127, 382, 191, 574, 287, 862, 431, 1294, 647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 254,
      'M' = [254, 127, 382, 191, 574, 287, 862, 431, 1294, 647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 746],
     [repeat(1000, 746),
      254 is 1000 - 746,
      collatz(254, [254, 127, 382, 191, 574, 287, 862, 431, 1294, 647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 746),
     rule(3),
     ['N' = 1000, 'I' = 746, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 746)]).
step(between(0, 999, 746), builtin, [], []).
step(254 is 1000 - 746, builtin, [], []).
step(collatzTrajectory(253, [253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 253,
      'M' = [253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 747],
     [repeat(1000, 747),
      253 is 1000 - 747,
      collatz(253, [253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 747),
     rule(3),
     ['N' = 1000, 'I' = 747, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 747)]).
step(between(0, 999, 747), builtin, [], []).
step(253 is 1000 - 747, builtin, [], []).
step(collatzTrajectory(252, [252, 126, 63, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 252,
      'M' = [252, 126, 63, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 748],
     [repeat(1000, 748),
      252 is 1000 - 748,
      collatz(252, [252, 126, 63, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 748),
     rule(3),
     ['N' = 1000, 'I' = 748, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 748)]).
step(between(0, 999, 748), builtin, [], []).
step(252 is 1000 - 748, builtin, [], []).
step(collatzTrajectory(251, [251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 251,
      'M' = [251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 749],
     [repeat(1000, 749),
      251 is 1000 - 749,
      collatz(251, [251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 749),
     rule(3),
     ['N' = 1000, 'I' = 749, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 749)]).
step(between(0, 999, 749), builtin, [], []).
step(251 is 1000 - 749, builtin, [], []).
step(collatzTrajectory(250, [250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 250,
      'M' = [250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 750],
     [repeat(1000, 750),
      250 is 1000 - 750,
      collatz(250, [250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 750),
     rule(3),
     ['N' = 1000, 'I' = 750, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 750)]).
step(between(0, 999, 750), builtin, [], []).
step(250 is 1000 - 750, builtin, [], []).
step(collatzTrajectory(249, [249, 748, 374, 187, 562, 281, 844, 422, 211, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 249,
      'M' = [249, 748, 374, 187, 562, 281, 844, 422, 211, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 751],
     [repeat(1000, 751),
      249 is 1000 - 751,
      collatz(249, [249, 748, 374, 187, 562, 281, 844, 422, 211, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 751),
     rule(3),
     ['N' = 1000, 'I' = 751, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 751)]).
step(between(0, 999, 751), builtin, [], []).
step(249 is 1000 - 751, builtin, [], []).
step(collatzTrajectory(248, [248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 248,
      'M' = [248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 752],
     [repeat(1000, 752),
      248 is 1000 - 752,
      collatz(248, [248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 752),
     rule(3),
     ['N' = 1000, 'I' = 752, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 752)]).
step(between(0, 999, 752), builtin, [], []).
step(248 is 1000 - 752, builtin, [], []).
step(collatzTrajectory(247, [247, 742, 371, 1114, 557, 1672, 836, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 247,
      'M' = [247, 742, 371, 1114, 557, 1672, 836, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 753],
     [repeat(1000, 753),
      247 is 1000 - 753,
      collatz(247, [247, 742, 371, 1114, 557, 1672, 836, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 753),
     rule(3),
     ['N' = 1000, 'I' = 753, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 753)]).
step(between(0, 999, 753), builtin, [], []).
step(247 is 1000 - 753, builtin, [], []).
step(collatzTrajectory(246, [246, 123, 370, 185, 556, 278, 139, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 246,
      'M' = [246, 123, 370, 185, 556, 278, 139, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 754],
     [repeat(1000, 754),
      246 is 1000 - 754,
      collatz(246, [246, 123, 370, 185, 556, 278, 139, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 754),
     rule(3),
     ['N' = 1000, 'I' = 754, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 754)]).
step(between(0, 999, 754), builtin, [], []).
step(246 is 1000 - 754, builtin, [], []).
step(collatzTrajectory(245, [245, 736, 368, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 245,
      'M' = [245, 736, 368, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 755],
     [repeat(1000, 755),
      245 is 1000 - 755,
      collatz(245, [245, 736, 368, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 755),
     rule(3),
     ['N' = 1000, 'I' = 755, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 755)]).
step(between(0, 999, 755), builtin, [], []).
step(245 is 1000 - 755, builtin, [], []).
step(collatzTrajectory(244, [244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 244,
      'M' = [244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 756],
     [repeat(1000, 756),
      244 is 1000 - 756,
      collatz(244, [244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 756),
     rule(3),
     ['N' = 1000, 'I' = 756, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 756)]).
step(between(0, 999, 756), builtin, [], []).
step(244 is 1000 - 756, builtin, [], []).
step(collatzTrajectory(243, [243, 730, 365, 1096, 548, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 243,
      'M' = [243, 730, 365, 1096, 548, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 757],
     [repeat(1000, 757),
      243 is 1000 - 757,
      collatz(243, [243, 730, 365, 1096, 548, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 757),
     rule(3),
     ['N' = 1000, 'I' = 757, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 757)]).
step(between(0, 999, 757), builtin, [], []).
step(243 is 1000 - 757, builtin, [], []).
step(collatzTrajectory(242, [242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 242,
      'M' = [242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 758],
     [repeat(1000, 758),
      242 is 1000 - 758,
      collatz(242, [242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 758),
     rule(3),
     ['N' = 1000, 'I' = 758, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 758)]).
step(between(0, 999, 758), builtin, [], []).
step(242 is 1000 - 758, builtin, [], []).
step(collatzTrajectory(241, [241, 724, 362, 181, 544, 272, 136, 68, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 241,
      'M' = [241, 724, 362, 181, 544, 272, 136, 68, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 759],
     [repeat(1000, 759),
      241 is 1000 - 759,
      collatz(241, [241, 724, 362, 181, 544, 272, 136, 68, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 759),
     rule(3),
     ['N' = 1000, 'I' = 759, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 759)]).
step(between(0, 999, 759), builtin, [], []).
step(241 is 1000 - 759, builtin, [], []).
step(collatzTrajectory(240, [240, 120, 60, 30, 15, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 240,
      'M' = [240, 120, 60, 30, 15, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 760],
     [repeat(1000, 760),
      240 is 1000 - 760,
      collatz(240, [240, 120, 60, 30, 15, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 760),
     rule(3),
     ['N' = 1000, 'I' = 760, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 760)]).
step(between(0, 999, 760), builtin, [], []).
step(240 is 1000 - 760, builtin, [], []).
step(collatzTrajectory(239, [239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 239,
      'M' = [239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 761],
     [repeat(1000, 761),
      239 is 1000 - 761,
      collatz(239, [239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 761),
     rule(3),
     ['N' = 1000, 'I' = 761, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 761)]).
step(between(0, 999, 761), builtin, [], []).
step(239 is 1000 - 761, builtin, [], []).
step(collatzTrajectory(238, [238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 238,
      'M' = [238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 762],
     [repeat(1000, 762),
      238 is 1000 - 762,
      collatz(238, [238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 762),
     rule(3),
     ['N' = 1000, 'I' = 762, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 762)]).
step(between(0, 999, 762), builtin, [], []).
step(238 is 1000 - 762, builtin, [], []).
step(collatzTrajectory(237, [237, 712, 356, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 237,
      'M' = [237, 712, 356, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 763],
     [repeat(1000, 763),
      237 is 1000 - 763,
      collatz(237, [237, 712, 356, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 763),
     rule(3),
     ['N' = 1000, 'I' = 763, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 763)]).
step(between(0, 999, 763), builtin, [], []).
step(237 is 1000 - 763, builtin, [], []).
step(collatzTrajectory(236, [236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 236,
      'M' = [236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 764],
     [repeat(1000, 764),
      236 is 1000 - 764,
      collatz(236, [236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 764),
     rule(3),
     ['N' = 1000, 'I' = 764, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 764)]).
step(between(0, 999, 764), builtin, [], []).
step(236 is 1000 - 764, builtin, [], []).
step(collatzTrajectory(235, [235, 706, 353, 1060, 530, 265, 796, 398, 199, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 235,
      'M' = [235, 706, 353, 1060, 530, 265, 796, 398, 199, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 765],
     [repeat(1000, 765),
      235 is 1000 - 765,
      collatz(235, [235, 706, 353, 1060, 530, 265, 796, 398, 199, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 765),
     rule(3),
     ['N' = 1000, 'I' = 765, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 765)]).
step(between(0, 999, 765), builtin, [], []).
step(235 is 1000 - 765, builtin, [], []).
step(collatzTrajectory(234, [234, 117, 352, 176, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 234,
      'M' = [234, 117, 352, 176, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 766],
     [repeat(1000, 766),
      234 is 1000 - 766,
      collatz(234, [234, 117, 352, 176, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 766),
     rule(3),
     ['N' = 1000, 'I' = 766, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 766)]).
step(between(0, 999, 766), builtin, [], []).
step(234 is 1000 - 766, builtin, [], []).
step(collatzTrajectory(233, [233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 233,
      'M' = [233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 767],
     [repeat(1000, 767),
      233 is 1000 - 767,
      collatz(233, [233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 767),
     rule(3),
     ['N' = 1000, 'I' = 767, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 767)]).
step(between(0, 999, 767), builtin, [], []).
step(233 is 1000 - 767, builtin, [], []).
step(collatzTrajectory(232, [232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 232,
      'M' = [232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 768],
     [repeat(1000, 768),
      232 is 1000 - 768,
      collatz(232, [232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 768),
     rule(3),
     ['N' = 1000, 'I' = 768, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 768)]).
step(between(0, 999, 768), builtin, [], []).
step(232 is 1000 - 768, builtin, [], []).
step(collatzTrajectory(231, [231, 694, 347, 1042, 521, 1564, 782, 391, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 231,
      'M' = [231, 694, 347, 1042, 521, 1564, 782, 391, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 769],
     [repeat(1000, 769),
      231 is 1000 - 769,
      collatz(231, [231, 694, 347, 1042, 521, 1564, 782, 391, 1174, 587, 1762, 881, 2644, 1322, 661, 1984, 992, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 769),
     rule(3),
     ['N' = 1000, 'I' = 769, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 769)]).
step(between(0, 999, 769), builtin, [], []).
step(231 is 1000 - 769, builtin, [], []).
step(collatzTrajectory(230, [230, 115, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 230,
      'M' = [230, 115, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 770],
     [repeat(1000, 770),
      230 is 1000 - 770,
      collatz(230, [230, 115, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 770),
     rule(3),
     ['N' = 1000, 'I' = 770, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 770)]).
step(between(0, 999, 770), builtin, [], []).
step(230 is 1000 - 770, builtin, [], []).
step(collatzTrajectory(229, [229, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 229,
      'M' = [229, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 771],
     [repeat(1000, 771),
      229 is 1000 - 771,
      collatz(229, [229, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 771),
     rule(3),
     ['N' = 1000, 'I' = 771, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 771)]).
step(between(0, 999, 771), builtin, [], []).
step(229 is 1000 - 771, builtin, [], []).
step(collatzTrajectory(228, [228, 114, 57, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 228,
      'M' = [228, 114, 57, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 772],
     [repeat(1000, 772),
      228 is 1000 - 772,
      collatz(228, [228, 114, 57, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 772),
     rule(3),
     ['N' = 1000, 'I' = 772, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 772)]).
step(between(0, 999, 772), builtin, [], []).
step(228 is 1000 - 772, builtin, [], []).
step(collatzTrajectory(227, [227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 227, 'M' = [227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1], 'N0' = 773],
     [repeat(1000, 773),
      227 is 1000 - 773,
      collatz(227, [227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1])]).
step(repeat(1000, 773),
     rule(3),
     ['N' = 1000, 'I' = 773, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 773)]).
step(between(0, 999, 773), builtin, [], []).
step(227 is 1000 - 773, builtin, [], []).
step(collatzTrajectory(226, [226, 113, 340, 170, 85, 256, 128, 64, 32, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 226, 'M' = [226, 113, 340, 170, 85, 256, 128, 64, 32, 16, 8, 4, 2, 1], 'N0' = 774],
     [repeat(1000, 774),
      226 is 1000 - 774,
      collatz(226, [226, 113, 340, 170, 85, 256, 128, 64, 32, 16, 8, 4, 2, 1])]).
step(repeat(1000, 774),
     rule(3),
     ['N' = 1000, 'I' = 774, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 774)]).
step(between(0, 999, 774), builtin, [], []).
step(226 is 1000 - 774, builtin, [], []).
step(collatzTrajectory(225, [225, 676, 338, 169, 508, 254, 127, 382, 191, 574, 287, 862, 431, 1294, 647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 225,
      'M' = [225, 676, 338, 169, 508, 254, 127, 382, 191, 574, 287, 862, 431, 1294, 647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 775],
     [repeat(1000, 775),
      225 is 1000 - 775,
      collatz(225, [225, 676, 338, 169, 508, 254, 127, 382, 191, 574, 287, 862, 431, 1294, 647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 775),
     rule(3),
     ['N' = 1000, 'I' = 775, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 775)]).
step(between(0, 999, 775), builtin, [], []).
step(225 is 1000 - 775, builtin, [], []).
step(collatzTrajectory(224, [224, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 224,
      'M' = [224, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 776],
     [repeat(1000, 776),
      224 is 1000 - 776,
      collatz(224, [224, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 776),
     rule(3),
     ['N' = 1000, 'I' = 776, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 776)]).
step(between(0, 999, 776), builtin, [], []).
step(224 is 1000 - 776, builtin, [], []).
step(collatzTrajectory(223, [223, 670, 335, 1006, 503, 1510, 755, 2266, 1133, 3400, 1700, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 223,
      'M' = [223, 670, 335, 1006, 503, 1510, 755, 2266, 1133, 3400, 1700, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 777],
     [repeat(1000, 777),
      223 is 1000 - 777,
      collatz(223, [223, 670, 335, 1006, 503, 1510, 755, 2266, 1133, 3400, 1700, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 777),
     rule(3),
     ['N' = 1000, 'I' = 777, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 777)]).
step(between(0, 999, 777), builtin, [], []).
step(223 is 1000 - 777, builtin, [], []).
step(collatzTrajectory(222, [222, 111, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 222,
      'M' = [222, 111, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 778],
     [repeat(1000, 778),
      222 is 1000 - 778,
      collatz(222, [222, 111, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 778),
     rule(3),
     ['N' = 1000, 'I' = 778, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 778)]).
step(between(0, 999, 778), builtin, [], []).
step(222 is 1000 - 778, builtin, [], []).
step(collatzTrajectory(221, [221, 664, 332, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 221,
      'M' = [221, 664, 332, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 779],
     [repeat(1000, 779),
      221 is 1000 - 779,
      collatz(221, [221, 664, 332, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 779),
     rule(3),
     ['N' = 1000, 'I' = 779, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 779)]).
step(between(0, 999, 779), builtin, [], []).
step(221 is 1000 - 779, builtin, [], []).
step(collatzTrajectory(220, [220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 220,
      'M' = [220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 780],
     [repeat(1000, 780),
      220 is 1000 - 780,
      collatz(220, [220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 780),
     rule(3),
     ['N' = 1000, 'I' = 780, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 780)]).
step(between(0, 999, 780), builtin, [], []).
step(220 is 1000 - 780, builtin, [], []).
step(collatzTrajectory(219, [219, 658, 329, 988, 494, 247, 742, 371, 1114, 557, 1672, 836, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 219,
      'M' = [219, 658, 329, 988, 494, 247, 742, 371, 1114, 557, 1672, 836, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 781],
     [repeat(1000, 781),
      219 is 1000 - 781,
      collatz(219, [219, 658, 329, 988, 494, 247, 742, 371, 1114, 557, 1672, 836, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 781),
     rule(3),
     ['N' = 1000, 'I' = 781, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 781)]).
step(between(0, 999, 781), builtin, [], []).
step(219 is 1000 - 781, builtin, [], []).
step(collatzTrajectory(218, [218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 218,
      'M' = [218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 782],
     [repeat(1000, 782),
      218 is 1000 - 782,
      collatz(218, [218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 782),
     rule(3),
     ['N' = 1000, 'I' = 782, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 782)]).
step(between(0, 999, 782), builtin, [], []).
step(218 is 1000 - 782, builtin, [], []).
step(collatzTrajectory(217, [217, 652, 326, 163, 490, 245, 736, 368, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 217,
      'M' = [217, 652, 326, 163, 490, 245, 736, 368, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 783],
     [repeat(1000, 783),
      217 is 1000 - 783,
      collatz(217, [217, 652, 326, 163, 490, 245, 736, 368, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 783),
     rule(3),
     ['N' = 1000, 'I' = 783, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 783)]).
step(between(0, 999, 783), builtin, [], []).
step(217 is 1000 - 783, builtin, [], []).
step(collatzTrajectory(216, [216, 108, 54, 27, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 216,
      'M' = [216, 108, 54, 27, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 784],
     [repeat(1000, 784),
      216 is 1000 - 784,
      collatz(216, [216, 108, 54, 27, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 784),
     rule(3),
     ['N' = 1000, 'I' = 784, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 784)]).
step(between(0, 999, 784), builtin, [], []).
step(216 is 1000 - 784, builtin, [], []).
step(collatzTrajectory(215, [215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 215,
      'M' = [215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 785],
     [repeat(1000, 785),
      215 is 1000 - 785,
      collatz(215, [215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 785),
     rule(3),
     ['N' = 1000, 'I' = 785, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 785)]).
step(between(0, 999, 785), builtin, [], []).
step(215 is 1000 - 785, builtin, [], []).
step(collatzTrajectory(214, [214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 214,
      'M' = [214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 786],
     [repeat(1000, 786),
      214 is 1000 - 786,
      collatz(214, [214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 786),
     rule(3),
     ['N' = 1000, 'I' = 786, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 786)]).
step(between(0, 999, 786), builtin, [], []).
step(214 is 1000 - 786, builtin, [], []).
step(collatzTrajectory(213, [213, 640, 320, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 213, 'M' = [213, 640, 320, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1], 'N0' = 787],
     [repeat(1000, 787),
      213 is 1000 - 787,
      collatz(213, [213, 640, 320, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 787),
     rule(3),
     ['N' = 1000, 'I' = 787, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 787)]).
step(between(0, 999, 787), builtin, [], []).
step(213 is 1000 - 787, builtin, [], []).
step(collatzTrajectory(212, [212, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 212, 'M' = [212, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1], 'N0' = 788],
     [repeat(1000, 788),
      212 is 1000 - 788,
      collatz(212, [212, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 788),
     rule(3),
     ['N' = 1000, 'I' = 788, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 788)]).
step(between(0, 999, 788), builtin, [], []).
step(212 is 1000 - 788, builtin, [], []).
step(collatzTrajectory(211, [211, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 211,
      'M' = [211, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 789],
     [repeat(1000, 789),
      211 is 1000 - 789,
      collatz(211, [211, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 789),
     rule(3),
     ['N' = 1000, 'I' = 789, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 789)]).
step(between(0, 999, 789), builtin, [], []).
step(211 is 1000 - 789, builtin, [], []).
step(collatzTrajectory(210, [210, 105, 316, 158, 79, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 210,
      'M' = [210, 105, 316, 158, 79, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 790],
     [repeat(1000, 790),
      210 is 1000 - 790,
      collatz(210, [210, 105, 316, 158, 79, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 790),
     rule(3),
     ['N' = 1000, 'I' = 790, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 790)]).
step(between(0, 999, 790), builtin, [], []).
step(210 is 1000 - 790, builtin, [], []).
step(collatzTrajectory(209, [209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 209,
      'M' = [209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 791],
     [repeat(1000, 791),
      209 is 1000 - 791,
      collatz(209, [209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 791),
     rule(3),
     ['N' = 1000, 'I' = 791, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 791)]).
step(between(0, 999, 791), builtin, [], []).
step(209 is 1000 - 791, builtin, [], []).
step(collatzTrajectory(208, [208, 104, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 208, 'M' = [208, 104, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1], 'N0' = 792],
     [repeat(1000, 792),
      208 is 1000 - 792,
      collatz(208, [208, 104, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 792),
     rule(3),
     ['N' = 1000, 'I' = 792, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 792)]).
step(between(0, 999, 792), builtin, [], []).
step(208 is 1000 - 792, builtin, [], []).
step(collatzTrajectory(207, [207, 622, 311, 934, 467, 1402, 701, 2104, 1052, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 207,
      'M' = [207, 622, 311, 934, 467, 1402, 701, 2104, 1052, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 793],
     [repeat(1000, 793),
      207 is 1000 - 793,
      collatz(207, [207, 622, 311, 934, 467, 1402, 701, 2104, 1052, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 793),
     rule(3),
     ['N' = 1000, 'I' = 793, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 793)]).
step(between(0, 999, 793), builtin, [], []).
step(207 is 1000 - 793, builtin, [], []).
step(collatzTrajectory(206, [206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 206,
      'M' = [206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 794],
     [repeat(1000, 794),
      206 is 1000 - 794,
      collatz(206, [206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 794),
     rule(3),
     ['N' = 1000, 'I' = 794, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 794)]).
step(between(0, 999, 794), builtin, [], []).
step(206 is 1000 - 794, builtin, [], []).
step(collatzTrajectory(205, [205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 205,
      'M' = [205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 795],
     [repeat(1000, 795),
      205 is 1000 - 795,
      collatz(205, [205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 795),
     rule(3),
     ['N' = 1000, 'I' = 795, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 795)]).
step(between(0, 999, 795), builtin, [], []).
step(205 is 1000 - 795, builtin, [], []).
step(collatzTrajectory(204, [204, 102, 51, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 204,
      'M' = [204, 102, 51, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 796],
     [repeat(1000, 796),
      204 is 1000 - 796,
      collatz(204, [204, 102, 51, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 796),
     rule(3),
     ['N' = 1000, 'I' = 796, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 796)]).
step(between(0, 999, 796), builtin, [], []).
step(204 is 1000 - 796, builtin, [], []).
step(collatzTrajectory(203, [203, 610, 305, 916, 458, 229, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 203,
      'M' = [203, 610, 305, 916, 458, 229, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 797],
     [repeat(1000, 797),
      203 is 1000 - 797,
      collatz(203, [203, 610, 305, 916, 458, 229, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 797),
     rule(3),
     ['N' = 1000, 'I' = 797, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 797)]).
step(between(0, 999, 797), builtin, [], []).
step(203 is 1000 - 797, builtin, [], []).
step(collatzTrajectory(202, [202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 202,
      'M' = [202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 798],
     [repeat(1000, 798),
      202 is 1000 - 798,
      collatz(202, [202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 798),
     rule(3),
     ['N' = 1000, 'I' = 798, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 798)]).
step(between(0, 999, 798), builtin, [], []).
step(202 is 1000 - 798, builtin, [], []).
step(collatzTrajectory(201, [201, 604, 302, 151, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 201,
      'M' = [201, 604, 302, 151, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1],
      'N0' = 799],
     [repeat(1000, 799),
      201 is 1000 - 799,
      collatz(201, [201, 604, 302, 151, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1])]).
step(repeat(1000, 799),
     rule(3),
     ['N' = 1000, 'I' = 799, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 799)]).
step(between(0, 999, 799), builtin, [], []).
step(201 is 1000 - 799, builtin, [], []).
step(collatzTrajectory(200, [200, 100, 50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 200,
      'M' = [200, 100, 50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 800],
     [repeat(1000, 800),
      200 is 1000 - 800,
      collatz(200, [200, 100, 50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 800),
     rule(3),
     ['N' = 1000, 'I' = 800, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 800)]).
step(between(0, 999, 800), builtin, [], []).
step(200 is 1000 - 800, builtin, [], []).
step(collatzTrajectory(199, [199, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 199,
      'M' = [199, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 801],
     [repeat(1000, 801),
      199 is 1000 - 801,
      collatz(199, [199, 598, 299, 898, 449, 1348, 674, 337, 1012, 506, 253, 760, 380, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 801),
     rule(3),
     ['N' = 1000, 'I' = 801, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 801)]).
step(between(0, 999, 801), builtin, [], []).
step(199 is 1000 - 801, builtin, [], []).
step(collatzTrajectory(198, [198, 99, 298, 149, 448, 224, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 198,
      'M' = [198, 99, 298, 149, 448, 224, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 802],
     [repeat(1000, 802),
      198 is 1000 - 802,
      collatz(198, [198, 99, 298, 149, 448, 224, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 802),
     rule(3),
     ['N' = 1000, 'I' = 802, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 802)]).
step(between(0, 999, 802), builtin, [], []).
step(198 is 1000 - 802, builtin, [], []).
step(collatzTrajectory(197, [197, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 197,
      'M' = [197, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 803],
     [repeat(1000, 803),
      197 is 1000 - 803,
      collatz(197, [197, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 803),
     rule(3),
     ['N' = 1000, 'I' = 803, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 803)]).
step(between(0, 999, 803), builtin, [], []).
step(197 is 1000 - 803, builtin, [], []).
step(collatzTrajectory(196, [196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 196,
      'M' = [196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 804],
     [repeat(1000, 804),
      196 is 1000 - 804,
      collatz(196, [196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 804),
     rule(3),
     ['N' = 1000, 'I' = 804, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 804)]).
step(between(0, 999, 804), builtin, [], []).
step(196 is 1000 - 804, builtin, [], []).
step(collatzTrajectory(195, [195, 586, 293, 880, 440, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 195,
      'M' = [195, 586, 293, 880, 440, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 805],
     [repeat(1000, 805),
      195 is 1000 - 805,
      collatz(195, [195, 586, 293, 880, 440, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 805),
     rule(3),
     ['N' = 1000, 'I' = 805, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 805)]).
step(between(0, 999, 805), builtin, [], []).
step(195 is 1000 - 805, builtin, [], []).
step(collatzTrajectory(194, [194, 97, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 194,
      'M' = [194, 97, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 806],
     [repeat(1000, 806),
      194 is 1000 - 806,
      collatz(194, [194, 97, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 806),
     rule(3),
     ['N' = 1000, 'I' = 806, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 806)]).
step(between(0, 999, 806), builtin, [], []).
step(194 is 1000 - 806, builtin, [], []).
step(collatzTrajectory(193, [193, 580, 290, 145, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 193,
      'M' = [193, 580, 290, 145, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 807],
     [repeat(1000, 807),
      193 is 1000 - 807,
      collatz(193, [193, 580, 290, 145, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 807),
     rule(3),
     ['N' = 1000, 'I' = 807, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 807)]).
step(between(0, 999, 807), builtin, [], []).
step(193 is 1000 - 807, builtin, [], []).
step(collatzTrajectory(192, [192, 96, 48, 24, 12, 6, 3, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 192, 'M' = [192, 96, 48, 24, 12, 6, 3, 10, 5, 16, 8, 4, 2, 1], 'N0' = 808],
     [repeat(1000, 808),
      192 is 1000 - 808,
      collatz(192, [192, 96, 48, 24, 12, 6, 3, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 808),
     rule(3),
     ['N' = 1000, 'I' = 808, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 808)]).
step(between(0, 999, 808), builtin, [], []).
step(192 is 1000 - 808, builtin, [], []).
step(collatzTrajectory(191, [191, 574, 287, 862, 431, 1294, 647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 191,
      'M' = [191, 574, 287, 862, 431, 1294, 647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 809],
     [repeat(1000, 809),
      191 is 1000 - 809,
      collatz(191, [191, 574, 287, 862, 431, 1294, 647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 809),
     rule(3),
     ['N' = 1000, 'I' = 809, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 809)]).
step(between(0, 999, 809), builtin, [], []).
step(191 is 1000 - 809, builtin, [], []).
step(collatzTrajectory(190, [190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 190,
      'M' = [190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 810],
     [repeat(1000, 810),
      190 is 1000 - 810,
      collatz(190, [190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 810),
     rule(3),
     ['N' = 1000, 'I' = 810, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 810)]).
step(between(0, 999, 810), builtin, [], []).
step(190 is 1000 - 810, builtin, [], []).
step(collatzTrajectory(189, [189, 568, 284, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 189,
      'M' = [189, 568, 284, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 811],
     [repeat(1000, 811),
      189 is 1000 - 811,
      collatz(189, [189, 568, 284, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 811),
     rule(3),
     ['N' = 1000, 'I' = 811, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 811)]).
step(between(0, 999, 811), builtin, [], []).
step(189 is 1000 - 811, builtin, [], []).
step(collatzTrajectory(188, [188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 188,
      'M' = [188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 812],
     [repeat(1000, 812),
      188 is 1000 - 812,
      collatz(188, [188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 812),
     rule(3),
     ['N' = 1000, 'I' = 812, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 812)]).
step(between(0, 999, 812), builtin, [], []).
step(188 is 1000 - 812, builtin, [], []).
step(collatzTrajectory(187, [187, 562, 281, 844, 422, 211, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 187,
      'M' = [187, 562, 281, 844, 422, 211, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 813],
     [repeat(1000, 813),
      187 is 1000 - 813,
      collatz(187, [187, 562, 281, 844, 422, 211, 634, 317, 952, 476, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 813),
     rule(3),
     ['N' = 1000, 'I' = 813, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 813)]).
step(between(0, 999, 813), builtin, [], []).
step(187 is 1000 - 813, builtin, [], []).
step(collatzTrajectory(186, [186, 93, 280, 140, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 186,
      'M' = [186, 93, 280, 140, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 814],
     [repeat(1000, 814),
      186 is 1000 - 814,
      collatz(186, [186, 93, 280, 140, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 814),
     rule(3),
     ['N' = 1000, 'I' = 814, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 814)]).
step(between(0, 999, 814), builtin, [], []).
step(186 is 1000 - 814, builtin, [], []).
step(collatzTrajectory(185, [185, 556, 278, 139, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 185,
      'M' = [185, 556, 278, 139, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 815],
     [repeat(1000, 815),
      185 is 1000 - 815,
      collatz(185, [185, 556, 278, 139, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 815),
     rule(3),
     ['N' = 1000, 'I' = 815, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 815)]).
step(between(0, 999, 815), builtin, [], []).
step(185 is 1000 - 815, builtin, [], []).
step(collatzTrajectory(184, [184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 184,
      'M' = [184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 816],
     [repeat(1000, 816),
      184 is 1000 - 816,
      collatz(184, [184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 816),
     rule(3),
     ['N' = 1000, 'I' = 816, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 816)]).
step(between(0, 999, 816), builtin, [], []).
step(184 is 1000 - 816, builtin, [], []).
step(collatzTrajectory(183, [183, 550, 275, 826, 413, 1240, 620, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 183,
      'M' = [183, 550, 275, 826, 413, 1240, 620, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 817],
     [repeat(1000, 817),
      183 is 1000 - 817,
      collatz(183, [183, 550, 275, 826, 413, 1240, 620, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 817),
     rule(3),
     ['N' = 1000, 'I' = 817, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 817)]).
step(between(0, 999, 817), builtin, [], []).
step(183 is 1000 - 817, builtin, [], []).
step(collatzTrajectory(182, [182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 182,
      'M' = [182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 818],
     [repeat(1000, 818),
      182 is 1000 - 818,
      collatz(182, [182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 818),
     rule(3),
     ['N' = 1000, 'I' = 818, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 818)]).
step(between(0, 999, 818), builtin, [], []).
step(182 is 1000 - 818, builtin, [], []).
step(collatzTrajectory(181, [181, 544, 272, 136, 68, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 181,
      'M' = [181, 544, 272, 136, 68, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 819],
     [repeat(1000, 819),
      181 is 1000 - 819,
      collatz(181, [181, 544, 272, 136, 68, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 819),
     rule(3),
     ['N' = 1000, 'I' = 819, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 819)]).
step(between(0, 999, 819), builtin, [], []).
step(181 is 1000 - 819, builtin, [], []).
step(collatzTrajectory(180, [180, 90, 45, 136, 68, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 180,
      'M' = [180, 90, 45, 136, 68, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 820],
     [repeat(1000, 820),
      180 is 1000 - 820,
      collatz(180, [180, 90, 45, 136, 68, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 820),
     rule(3),
     ['N' = 1000, 'I' = 820, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 820)]).
step(between(0, 999, 820), builtin, [], []).
step(180 is 1000 - 820, builtin, [], []).
step(collatzTrajectory(179, [179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 179,
      'M' = [179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 821],
     [repeat(1000, 821),
      179 is 1000 - 821,
      collatz(179, [179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 821),
     rule(3),
     ['N' = 1000, 'I' = 821, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 821)]).
step(between(0, 999, 821), builtin, [], []).
step(179 is 1000 - 821, builtin, [], []).
step(collatzTrajectory(178, [178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 178,
      'M' = [178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 822],
     [repeat(1000, 822),
      178 is 1000 - 822,
      collatz(178, [178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 822),
     rule(3),
     ['N' = 1000, 'I' = 822, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 822)]).
step(between(0, 999, 822), builtin, [], []).
step(178 is 1000 - 822, builtin, [], []).
step(collatzTrajectory(177, [177, 532, 266, 133, 400, 200, 100, 50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 177,
      'M' = [177, 532, 266, 133, 400, 200, 100, 50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 823],
     [repeat(1000, 823),
      177 is 1000 - 823,
      collatz(177, [177, 532, 266, 133, 400, 200, 100, 50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 823),
     rule(3),
     ['N' = 1000, 'I' = 823, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 823)]).
step(between(0, 999, 823), builtin, [], []).
step(177 is 1000 - 823, builtin, [], []).
step(collatzTrajectory(176, [176, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 176,
      'M' = [176, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 824],
     [repeat(1000, 824),
      176 is 1000 - 824,
      collatz(176, [176, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 824),
     rule(3),
     ['N' = 1000, 'I' = 824, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 824)]).
step(between(0, 999, 824), builtin, [], []).
step(176 is 1000 - 824, builtin, [], []).
step(collatzTrajectory(175, [175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 175,
      'M' = [175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 825],
     [repeat(1000, 825),
      175 is 1000 - 825,
      collatz(175, [175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 825),
     rule(3),
     ['N' = 1000, 'I' = 825, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 825)]).
step(between(0, 999, 825), builtin, [], []).
step(175 is 1000 - 825, builtin, [], []).
step(collatzTrajectory(174, [174, 87, 262, 131, 394, 197, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 174,
      'M' = [174, 87, 262, 131, 394, 197, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 826],
     [repeat(1000, 826),
      174 is 1000 - 826,
      collatz(174, [174, 87, 262, 131, 394, 197, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 826),
     rule(3),
     ['N' = 1000, 'I' = 826, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 826)]).
step(between(0, 999, 826), builtin, [], []).
step(174 is 1000 - 826, builtin, [], []).
step(collatzTrajectory(173, [173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 173,
      'M' = [173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 827],
     [repeat(1000, 827),
      173 is 1000 - 827,
      collatz(173, [173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 827),
     rule(3),
     ['N' = 1000, 'I' = 827, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 827)]).
step(between(0, 999, 827), builtin, [], []).
step(173 is 1000 - 827, builtin, [], []).
step(collatzTrajectory(172, [172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 172,
      'M' = [172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 828],
     [repeat(1000, 828),
      172 is 1000 - 828,
      collatz(172, [172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 828),
     rule(3),
     ['N' = 1000, 'I' = 828, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 828)]).
step(between(0, 999, 828), builtin, [], []).
step(172 is 1000 - 828, builtin, [], []).
step(collatzTrajectory(171, [171, 514, 257, 772, 386, 193, 580, 290, 145, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 171,
      'M' = [171, 514, 257, 772, 386, 193, 580, 290, 145, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 829],
     [repeat(1000, 829),
      171 is 1000 - 829,
      collatz(171, [171, 514, 257, 772, 386, 193, 580, 290, 145, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 829),
     rule(3),
     ['N' = 1000, 'I' = 829, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 829)]).
step(between(0, 999, 829), builtin, [], []).
step(171 is 1000 - 829, builtin, [], []).
step(collatzTrajectory(170, [170, 85, 256, 128, 64, 32, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 170, 'M' = [170, 85, 256, 128, 64, 32, 16, 8, 4, 2, 1], 'N0' = 830],
     [repeat(1000, 830),
      170 is 1000 - 830,
      collatz(170, [170, 85, 256, 128, 64, 32, 16, 8, 4, 2, 1])]).
step(repeat(1000, 830),
     rule(3),
     ['N' = 1000, 'I' = 830, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 830)]).
step(between(0, 999, 830), builtin, [], []).
step(170 is 1000 - 830, builtin, [], []).
step(collatzTrajectory(169, [169, 508, 254, 127, 382, 191, 574, 287, 862, 431, 1294, 647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 169,
      'M' = [169, 508, 254, 127, 382, 191, 574, 287, 862, 431, 1294, 647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 831],
     [repeat(1000, 831),
      169 is 1000 - 831,
      collatz(169, [169, 508, 254, 127, 382, 191, 574, 287, 862, 431, 1294, 647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 831),
     rule(3),
     ['N' = 1000, 'I' = 831, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 831)]).
step(between(0, 999, 831), builtin, [], []).
step(169 is 1000 - 831, builtin, [], []).
step(collatzTrajectory(168, [168, 84, 42, 21, 64, 32, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 168, 'M' = [168, 84, 42, 21, 64, 32, 16, 8, 4, 2, 1], 'N0' = 832],
     [repeat(1000, 832),
      168 is 1000 - 832,
      collatz(168, [168, 84, 42, 21, 64, 32, 16, 8, 4, 2, 1])]).
step(repeat(1000, 832),
     rule(3),
     ['N' = 1000, 'I' = 832, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 832)]).
step(between(0, 999, 832), builtin, [], []).
step(168 is 1000 - 832, builtin, [], []).
step(collatzTrajectory(167, [167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 167,
      'M' = [167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 833],
     [repeat(1000, 833),
      167 is 1000 - 833,
      collatz(167, [167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 833),
     rule(3),
     ['N' = 1000, 'I' = 833, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 833)]).
step(between(0, 999, 833), builtin, [], []).
step(167 is 1000 - 833, builtin, [], []).
step(collatzTrajectory(166, [166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 166,
      'M' = [166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 834],
     [repeat(1000, 834),
      166 is 1000 - 834,
      collatz(166, [166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 834),
     rule(3),
     ['N' = 1000, 'I' = 834, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 834)]).
step(between(0, 999, 834), builtin, [], []).
step(166 is 1000 - 834, builtin, [], []).
step(collatzTrajectory(165, [165, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 165,
      'M' = [165, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 835],
     [repeat(1000, 835),
      165 is 1000 - 835,
      collatz(165, [165, 496, 248, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 835),
     rule(3),
     ['N' = 1000, 'I' = 835, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 835)]).
step(between(0, 999, 835), builtin, [], []).
step(165 is 1000 - 835, builtin, [], []).
step(collatzTrajectory(164, [164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 164,
      'M' = [164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 836],
     [repeat(1000, 836),
      164 is 1000 - 836,
      collatz(164, [164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 836),
     rule(3),
     ['N' = 1000, 'I' = 836, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 836)]).
step(between(0, 999, 836), builtin, [], []).
step(164 is 1000 - 836, builtin, [], []).
step(collatzTrajectory(163, [163, 490, 245, 736, 368, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 163,
      'M' = [163, 490, 245, 736, 368, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 837],
     [repeat(1000, 837),
      163 is 1000 - 837,
      collatz(163, [163, 490, 245, 736, 368, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 837),
     rule(3),
     ['N' = 1000, 'I' = 837, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 837)]).
step(between(0, 999, 837), builtin, [], []).
step(163 is 1000 - 837, builtin, [], []).
step(collatzTrajectory(162, [162, 81, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 162,
      'M' = [162, 81, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 838],
     [repeat(1000, 838),
      162 is 1000 - 838,
      collatz(162, [162, 81, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 838),
     rule(3),
     ['N' = 1000, 'I' = 838, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 838)]).
step(between(0, 999, 838), builtin, [], []).
step(162 is 1000 - 838, builtin, [], []).
step(collatzTrajectory(161, [161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 161,
      'M' = [161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 839],
     [repeat(1000, 839),
      161 is 1000 - 839,
      collatz(161, [161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 839),
     rule(3),
     ['N' = 1000, 'I' = 839, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 839)]).
step(between(0, 999, 839), builtin, [], []).
step(161 is 1000 - 839, builtin, [], []).
step(collatzTrajectory(160, [160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 160, 'M' = [160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1], 'N0' = 840],
     [repeat(1000, 840),
      160 is 1000 - 840,
      collatz(160, [160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 840),
     rule(3),
     ['N' = 1000, 'I' = 840, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 840)]).
step(between(0, 999, 840), builtin, [], []).
step(160 is 1000 - 840, builtin, [], []).
step(collatzTrajectory(159, [159, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 159,
      'M' = [159, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 841],
     [repeat(1000, 841),
      159 is 1000 - 841,
      collatz(159, [159, 478, 239, 718, 359, 1078, 539, 1618, 809, 2428, 1214, 607, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 841),
     rule(3),
     ['N' = 1000, 'I' = 841, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 841)]).
step(between(0, 999, 841), builtin, [], []).
step(159 is 1000 - 841, builtin, [], []).
step(collatzTrajectory(158, [158, 79, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 158,
      'M' = [158, 79, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 842],
     [repeat(1000, 842),
      158 is 1000 - 842,
      collatz(158, [158, 79, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 842),
     rule(3),
     ['N' = 1000, 'I' = 842, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 842)]).
step(between(0, 999, 842), builtin, [], []).
step(158 is 1000 - 842, builtin, [], []).
step(collatzTrajectory(157, [157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 157,
      'M' = [157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 843],
     [repeat(1000, 843),
      157 is 1000 - 843,
      collatz(157, [157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 843),
     rule(3),
     ['N' = 1000, 'I' = 843, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 843)]).
step(between(0, 999, 843), builtin, [], []).
step(157 is 1000 - 843, builtin, [], []).
step(collatzTrajectory(156, [156, 78, 39, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 156,
      'M' = [156, 78, 39, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 844],
     [repeat(1000, 844),
      156 is 1000 - 844,
      collatz(156, [156, 78, 39, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 844),
     rule(3),
     ['N' = 1000, 'I' = 844, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 844)]).
step(between(0, 999, 844), builtin, [], []).
step(156 is 1000 - 844, builtin, [], []).
step(collatzTrajectory(155, [155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 155,
      'M' = [155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 845],
     [repeat(1000, 845),
      155 is 1000 - 845,
      collatz(155, [155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 845),
     rule(3),
     ['N' = 1000, 'I' = 845, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 845)]).
step(between(0, 999, 845), builtin, [], []).
step(155 is 1000 - 845, builtin, [], []).
step(collatzTrajectory(154, [154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 154,
      'M' = [154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 846],
     [repeat(1000, 846),
      154 is 1000 - 846,
      collatz(154, [154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 846),
     rule(3),
     ['N' = 1000, 'I' = 846, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 846)]).
step(between(0, 999, 846), builtin, [], []).
step(154 is 1000 - 846, builtin, [], []).
step(collatzTrajectory(153, [153, 460, 230, 115, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 153,
      'M' = [153, 460, 230, 115, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 847],
     [repeat(1000, 847),
      153 is 1000 - 847,
      collatz(153, [153, 460, 230, 115, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 847),
     rule(3),
     ['N' = 1000, 'I' = 847, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 847)]).
step(between(0, 999, 847), builtin, [], []).
step(153 is 1000 - 847, builtin, [], []).
step(collatzTrajectory(152, [152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 152,
      'M' = [152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 848],
     [repeat(1000, 848),
      152 is 1000 - 848,
      collatz(152, [152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 848),
     rule(3),
     ['N' = 1000, 'I' = 848, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 848)]).
step(between(0, 999, 848), builtin, [], []).
step(152 is 1000 - 848, builtin, [], []).
step(collatzTrajectory(151, [151, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 151,
      'M' = [151, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1],
      'N0' = 849],
     [repeat(1000, 849),
      151 is 1000 - 849,
      collatz(151, [151, 454, 227, 682, 341, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1])]).
step(repeat(1000, 849),
     rule(3),
     ['N' = 1000, 'I' = 849, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 849)]).
step(between(0, 999, 849), builtin, [], []).
step(151 is 1000 - 849, builtin, [], []).
step(collatzTrajectory(150, [150, 75, 226, 113, 340, 170, 85, 256, 128, 64, 32, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 150,
      'M' = [150, 75, 226, 113, 340, 170, 85, 256, 128, 64, 32, 16, 8, 4, 2, 1],
      'N0' = 850],
     [repeat(1000, 850),
      150 is 1000 - 850,
      collatz(150, [150, 75, 226, 113, 340, 170, 85, 256, 128, 64, 32, 16, 8, 4, 2, 1])]).
step(repeat(1000, 850),
     rule(3),
     ['N' = 1000, 'I' = 850, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 850)]).
step(between(0, 999, 850), builtin, [], []).
step(150 is 1000 - 850, builtin, [], []).
step(collatzTrajectory(149, [149, 448, 224, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 149,
      'M' = [149, 448, 224, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 851],
     [repeat(1000, 851),
      149 is 1000 - 851,
      collatz(149, [149, 448, 224, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 851),
     rule(3),
     ['N' = 1000, 'I' = 851, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 851)]).
step(between(0, 999, 851), builtin, [], []).
step(149 is 1000 - 851, builtin, [], []).
step(collatzTrajectory(148, [148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 148,
      'M' = [148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 852],
     [repeat(1000, 852),
      148 is 1000 - 852,
      collatz(148, [148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 852),
     rule(3),
     ['N' = 1000, 'I' = 852, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 852)]).
step(between(0, 999, 852), builtin, [], []).
step(148 is 1000 - 852, builtin, [], []).
step(collatzTrajectory(147, [147, 442, 221, 664, 332, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 147,
      'M' = [147, 442, 221, 664, 332, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 853],
     [repeat(1000, 853),
      147 is 1000 - 853,
      collatz(147, [147, 442, 221, 664, 332, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 853),
     rule(3),
     ['N' = 1000, 'I' = 853, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 853)]).
step(between(0, 999, 853), builtin, [], []).
step(147 is 1000 - 853, builtin, [], []).
step(collatzTrajectory(146, [146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 146,
      'M' = [146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 854],
     [repeat(1000, 854),
      146 is 1000 - 854,
      collatz(146, [146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 854),
     rule(3),
     ['N' = 1000, 'I' = 854, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 854)]).
step(between(0, 999, 854), builtin, [], []).
step(146 is 1000 - 854, builtin, [], []).
step(collatzTrajectory(145, [145, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 145,
      'M' = [145, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 855],
     [repeat(1000, 855),
      145 is 1000 - 855,
      collatz(145, [145, 436, 218, 109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 855),
     rule(3),
     ['N' = 1000, 'I' = 855, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 855)]).
step(between(0, 999, 855), builtin, [], []).
step(145 is 1000 - 855, builtin, [], []).
step(collatzTrajectory(144, [144, 72, 36, 18, 9, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 144,
      'M' = [144, 72, 36, 18, 9, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 856],
     [repeat(1000, 856),
      144 is 1000 - 856,
      collatz(144, [144, 72, 36, 18, 9, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 856),
     rule(3),
     ['N' = 1000, 'I' = 856, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 856)]).
step(between(0, 999, 856), builtin, [], []).
step(144 is 1000 - 856, builtin, [], []).
step(collatzTrajectory(143, [143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 143,
      'M' = [143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 857],
     [repeat(1000, 857),
      143 is 1000 - 857,
      collatz(143, [143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 857),
     rule(3),
     ['N' = 1000, 'I' = 857, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 857)]).
step(between(0, 999, 857), builtin, [], []).
step(143 is 1000 - 857, builtin, [], []).
step(collatzTrajectory(142, [142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 142,
      'M' = [142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 858],
     [repeat(1000, 858),
      142 is 1000 - 858,
      collatz(142, [142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 858),
     rule(3),
     ['N' = 1000, 'I' = 858, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 858)]).
step(between(0, 999, 858), builtin, [], []).
step(142 is 1000 - 858, builtin, [], []).
step(collatzTrajectory(141, [141, 424, 212, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 141,
      'M' = [141, 424, 212, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 859],
     [repeat(1000, 859),
      141 is 1000 - 859,
      collatz(141, [141, 424, 212, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 859),
     rule(3),
     ['N' = 1000, 'I' = 859, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 859)]).
step(between(0, 999, 859), builtin, [], []).
step(141 is 1000 - 859, builtin, [], []).
step(collatzTrajectory(140, [140, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 140,
      'M' = [140, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 860],
     [repeat(1000, 860),
      140 is 1000 - 860,
      collatz(140, [140, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 860),
     rule(3),
     ['N' = 1000, 'I' = 860, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 860)]).
step(between(0, 999, 860), builtin, [], []).
step(140 is 1000 - 860, builtin, [], []).
step(collatzTrajectory(139, [139, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 139,
      'M' = [139, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 861],
     [repeat(1000, 861),
      139 is 1000 - 861,
      collatz(139, [139, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 861),
     rule(3),
     ['N' = 1000, 'I' = 861, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 861)]).
step(between(0, 999, 861), builtin, [], []).
step(139 is 1000 - 861, builtin, [], []).
step(collatzTrajectory(138, [138, 69, 208, 104, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 138,
      'M' = [138, 69, 208, 104, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 862],
     [repeat(1000, 862),
      138 is 1000 - 862,
      collatz(138, [138, 69, 208, 104, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 862),
     rule(3),
     ['N' = 1000, 'I' = 862, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 862)]).
step(between(0, 999, 862), builtin, [], []).
step(138 is 1000 - 862, builtin, [], []).
step(collatzTrajectory(137, [137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 137,
      'M' = [137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 863],
     [repeat(1000, 863),
      137 is 1000 - 863,
      collatz(137, [137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 863),
     rule(3),
     ['N' = 1000, 'I' = 863, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 863)]).
step(between(0, 999, 863), builtin, [], []).
step(137 is 1000 - 863, builtin, [], []).
step(collatzTrajectory(136, [136, 68, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 136, 'M' = [136, 68, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1], 'N0' = 864],
     [repeat(1000, 864),
      136 is 1000 - 864,
      collatz(136, [136, 68, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 864),
     rule(3),
     ['N' = 1000, 'I' = 864, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 864)]).
step(between(0, 999, 864), builtin, [], []).
step(136 is 1000 - 864, builtin, [], []).
step(collatzTrajectory(135, [135, 406, 203, 610, 305, 916, 458, 229, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 135,
      'M' = [135, 406, 203, 610, 305, 916, 458, 229, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 865],
     [repeat(1000, 865),
      135 is 1000 - 865,
      collatz(135, [135, 406, 203, 610, 305, 916, 458, 229, 688, 344, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 865),
     rule(3),
     ['N' = 1000, 'I' = 865, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 865)]).
step(between(0, 999, 865), builtin, [], []).
step(135 is 1000 - 865, builtin, [], []).
step(collatzTrajectory(134, [134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 134,
      'M' = [134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 866],
     [repeat(1000, 866),
      134 is 1000 - 866,
      collatz(134, [134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 866),
     rule(3),
     ['N' = 1000, 'I' = 866, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 866)]).
step(between(0, 999, 866), builtin, [], []).
step(134 is 1000 - 866, builtin, [], []).
step(collatzTrajectory(133, [133, 400, 200, 100, 50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 133,
      'M' = [133, 400, 200, 100, 50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 867],
     [repeat(1000, 867),
      133 is 1000 - 867,
      collatz(133, [133, 400, 200, 100, 50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 867),
     rule(3),
     ['N' = 1000, 'I' = 867, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 867)]).
step(between(0, 999, 867), builtin, [], []).
step(133 is 1000 - 867, builtin, [], []).
step(collatzTrajectory(132, [132, 66, 33, 100, 50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 132,
      'M' = [132, 66, 33, 100, 50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 868],
     [repeat(1000, 868),
      132 is 1000 - 868,
      collatz(132, [132, 66, 33, 100, 50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 868),
     rule(3),
     ['N' = 1000, 'I' = 868, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 868)]).
step(between(0, 999, 868), builtin, [], []).
step(132 is 1000 - 868, builtin, [], []).
step(collatzTrajectory(131, [131, 394, 197, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 131,
      'M' = [131, 394, 197, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 869],
     [repeat(1000, 869),
      131 is 1000 - 869,
      collatz(131, [131, 394, 197, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 869),
     rule(3),
     ['N' = 1000, 'I' = 869, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 869)]).
step(between(0, 999, 869), builtin, [], []).
step(131 is 1000 - 869, builtin, [], []).
step(collatzTrajectory(130, [130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 130,
      'M' = [130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 870],
     [repeat(1000, 870),
      130 is 1000 - 870,
      collatz(130, [130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 870),
     rule(3),
     ['N' = 1000, 'I' = 870, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 870)]).
step(between(0, 999, 870), builtin, [], []).
step(130 is 1000 - 870, builtin, [], []).
step(collatzTrajectory(129, [129, 388, 194, 97, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 129,
      'M' = [129, 388, 194, 97, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 871],
     [repeat(1000, 871),
      129 is 1000 - 871,
      collatz(129, [129, 388, 194, 97, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 871),
     rule(3),
     ['N' = 1000, 'I' = 871, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 871)]).
step(between(0, 999, 871), builtin, [], []).
step(129 is 1000 - 871, builtin, [], []).
step(collatzTrajectory(128, [128, 64, 32, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 128, 'M' = [128, 64, 32, 16, 8, 4, 2, 1], 'N0' = 872],
     [repeat(1000, 872), 128 is 1000 - 872, collatz(128, [128, 64, 32, 16, 8, 4, 2, 1])]).
step(repeat(1000, 872),
     rule(3),
     ['N' = 1000, 'I' = 872, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 872)]).
step(between(0, 999, 872), builtin, [], []).
step(128 is 1000 - 872, builtin, [], []).
step(collatzTrajectory(127, [127, 382, 191, 574, 287, 862, 431, 1294, 647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 127,
      'M' = [127, 382, 191, 574, 287, 862, 431, 1294, 647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 873],
     [repeat(1000, 873),
      127 is 1000 - 873,
      collatz(127, [127, 382, 191, 574, 287, 862, 431, 1294, 647, 1942, 971, 2914, 1457, 4372, 2186, 1093, 3280, 1640, 820, 410, 205, 616, 308, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 873),
     rule(3),
     ['N' = 1000, 'I' = 873, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 873)]).
step(between(0, 999, 873), builtin, [], []).
step(127 is 1000 - 873, builtin, [], []).
step(collatzTrajectory(126, [126, 63, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 126,
      'M' = [126, 63, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 874],
     [repeat(1000, 874),
      126 is 1000 - 874,
      collatz(126, [126, 63, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 874),
     rule(3),
     ['N' = 1000, 'I' = 874, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 874)]).
step(between(0, 999, 874), builtin, [], []).
step(126 is 1000 - 874, builtin, [], []).
step(collatzTrajectory(125, [125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 125,
      'M' = [125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 875],
     [repeat(1000, 875),
      125 is 1000 - 875,
      collatz(125, [125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 875),
     rule(3),
     ['N' = 1000, 'I' = 875, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 875)]).
step(between(0, 999, 875), builtin, [], []).
step(125 is 1000 - 875, builtin, [], []).
step(collatzTrajectory(124, [124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 124,
      'M' = [124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 876],
     [repeat(1000, 876),
      124 is 1000 - 876,
      collatz(124, [124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 876),
     rule(3),
     ['N' = 1000, 'I' = 876, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 876)]).
step(between(0, 999, 876), builtin, [], []).
step(124 is 1000 - 876, builtin, [], []).
step(collatzTrajectory(123, [123, 370, 185, 556, 278, 139, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 123,
      'M' = [123, 370, 185, 556, 278, 139, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 877],
     [repeat(1000, 877),
      123 is 1000 - 877,
      collatz(123, [123, 370, 185, 556, 278, 139, 418, 209, 628, 314, 157, 472, 236, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 877),
     rule(3),
     ['N' = 1000, 'I' = 877, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 877)]).
step(between(0, 999, 877), builtin, [], []).
step(123 is 1000 - 877, builtin, [], []).
step(collatzTrajectory(122, [122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 122,
      'M' = [122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 878],
     [repeat(1000, 878),
      122 is 1000 - 878,
      collatz(122, [122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 878),
     rule(3),
     ['N' = 1000, 'I' = 878, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 878)]).
step(between(0, 999, 878), builtin, [], []).
step(122 is 1000 - 878, builtin, [], []).
step(collatzTrajectory(121, [121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 121,
      'M' = [121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 879],
     [repeat(1000, 879),
      121 is 1000 - 879,
      collatz(121, [121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 879),
     rule(3),
     ['N' = 1000, 'I' = 879, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 879)]).
step(between(0, 999, 879), builtin, [], []).
step(121 is 1000 - 879, builtin, [], []).
step(collatzTrajectory(120, [120, 60, 30, 15, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 120,
      'M' = [120, 60, 30, 15, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 880],
     [repeat(1000, 880),
      120 is 1000 - 880,
      collatz(120, [120, 60, 30, 15, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 880),
     rule(3),
     ['N' = 1000, 'I' = 880, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 880)]).
step(between(0, 999, 880), builtin, [], []).
step(120 is 1000 - 880, builtin, [], []).
step(collatzTrajectory(119, [119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 119,
      'M' = [119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 881],
     [repeat(1000, 881),
      119 is 1000 - 881,
      collatz(119, [119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 881),
     rule(3),
     ['N' = 1000, 'I' = 881, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 881)]).
step(between(0, 999, 881), builtin, [], []).
step(119 is 1000 - 881, builtin, [], []).
step(collatzTrajectory(118, [118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 118,
      'M' = [118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 882],
     [repeat(1000, 882),
      118 is 1000 - 882,
      collatz(118, [118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 882),
     rule(3),
     ['N' = 1000, 'I' = 882, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 882)]).
step(between(0, 999, 882), builtin, [], []).
step(118 is 1000 - 882, builtin, [], []).
step(collatzTrajectory(117, [117, 352, 176, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 117,
      'M' = [117, 352, 176, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 883],
     [repeat(1000, 883),
      117 is 1000 - 883,
      collatz(117, [117, 352, 176, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 883),
     rule(3),
     ['N' = 1000, 'I' = 883, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 883)]).
step(between(0, 999, 883), builtin, [], []).
step(117 is 1000 - 883, builtin, [], []).
step(collatzTrajectory(116, [116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 116,
      'M' = [116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 884],
     [repeat(1000, 884),
      116 is 1000 - 884,
      collatz(116, [116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 884),
     rule(3),
     ['N' = 1000, 'I' = 884, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 884)]).
step(between(0, 999, 884), builtin, [], []).
step(116 is 1000 - 884, builtin, [], []).
step(collatzTrajectory(115, [115, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 115,
      'M' = [115, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 885],
     [repeat(1000, 885),
      115 is 1000 - 885,
      collatz(115, [115, 346, 173, 520, 260, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 885),
     rule(3),
     ['N' = 1000, 'I' = 885, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 885)]).
step(between(0, 999, 885), builtin, [], []).
step(115 is 1000 - 885, builtin, [], []).
step(collatzTrajectory(114, [114, 57, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 114,
      'M' = [114, 57, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 886],
     [repeat(1000, 886),
      114 is 1000 - 886,
      collatz(114, [114, 57, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 886),
     rule(3),
     ['N' = 1000, 'I' = 886, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 886)]).
step(between(0, 999, 886), builtin, [], []).
step(114 is 1000 - 886, builtin, [], []).
step(collatzTrajectory(113, [113, 340, 170, 85, 256, 128, 64, 32, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 113, 'M' = [113, 340, 170, 85, 256, 128, 64, 32, 16, 8, 4, 2, 1], 'N0' = 887],
     [repeat(1000, 887),
      113 is 1000 - 887,
      collatz(113, [113, 340, 170, 85, 256, 128, 64, 32, 16, 8, 4, 2, 1])]).
step(repeat(1000, 887),
     rule(3),
     ['N' = 1000, 'I' = 887, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 887)]).
step(between(0, 999, 887), builtin, [], []).
step(113 is 1000 - 887, builtin, [], []).
step(collatzTrajectory(112, [112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 112,
      'M' = [112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 888],
     [repeat(1000, 888),
      112 is 1000 - 888,
      collatz(112, [112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 888),
     rule(3),
     ['N' = 1000, 'I' = 888, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 888)]).
step(between(0, 999, 888), builtin, [], []).
step(112 is 1000 - 888, builtin, [], []).
step(collatzTrajectory(111, [111, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 111,
      'M' = [111, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 889],
     [repeat(1000, 889),
      111 is 1000 - 889,
      collatz(111, [111, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 889),
     rule(3),
     ['N' = 1000, 'I' = 889, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 889)]).
step(between(0, 999, 889), builtin, [], []).
step(111 is 1000 - 889, builtin, [], []).
step(collatzTrajectory(110, [110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 110,
      'M' = [110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 890],
     [repeat(1000, 890),
      110 is 1000 - 890,
      collatz(110, [110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 890),
     rule(3),
     ['N' = 1000, 'I' = 890, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 890)]).
step(between(0, 999, 890), builtin, [], []).
step(110 is 1000 - 890, builtin, [], []).
step(collatzTrajectory(109, [109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 109,
      'M' = [109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 891],
     [repeat(1000, 891),
      109 is 1000 - 891,
      collatz(109, [109, 328, 164, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 891),
     rule(3),
     ['N' = 1000, 'I' = 891, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 891)]).
step(between(0, 999, 891), builtin, [], []).
step(109 is 1000 - 891, builtin, [], []).
step(collatzTrajectory(108, [108, 54, 27, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 108,
      'M' = [108, 54, 27, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 892],
     [repeat(1000, 892),
      108 is 1000 - 892,
      collatz(108, [108, 54, 27, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 892),
     rule(3),
     ['N' = 1000, 'I' = 892, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 892)]).
step(between(0, 999, 892), builtin, [], []).
step(108 is 1000 - 892, builtin, [], []).
step(collatzTrajectory(107, [107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 107,
      'M' = [107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 893],
     [repeat(1000, 893),
      107 is 1000 - 893,
      collatz(107, [107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 893),
     rule(3),
     ['N' = 1000, 'I' = 893, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 893)]).
step(between(0, 999, 893), builtin, [], []).
step(107 is 1000 - 893, builtin, [], []).
step(collatzTrajectory(106, [106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 106, 'M' = [106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1], 'N0' = 894],
     [repeat(1000, 894),
      106 is 1000 - 894,
      collatz(106, [106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 894),
     rule(3),
     ['N' = 1000, 'I' = 894, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 894)]).
step(between(0, 999, 894), builtin, [], []).
step(106 is 1000 - 894, builtin, [], []).
step(collatzTrajectory(105, [105, 316, 158, 79, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 105,
      'M' = [105, 316, 158, 79, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 895],
     [repeat(1000, 895),
      105 is 1000 - 895,
      collatz(105, [105, 316, 158, 79, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 895),
     rule(3),
     ['N' = 1000, 'I' = 895, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 895)]).
step(between(0, 999, 895), builtin, [], []).
step(105 is 1000 - 895, builtin, [], []).
step(collatzTrajectory(104, [104, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 104, 'M' = [104, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1], 'N0' = 896],
     [repeat(1000, 896),
      104 is 1000 - 896,
      collatz(104, [104, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 896),
     rule(3),
     ['N' = 1000, 'I' = 896, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 896)]).
step(between(0, 999, 896), builtin, [], []).
step(104 is 1000 - 896, builtin, [], []).
step(collatzTrajectory(103, [103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 103,
      'M' = [103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 897],
     [repeat(1000, 897),
      103 is 1000 - 897,
      collatz(103, [103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 897),
     rule(3),
     ['N' = 1000, 'I' = 897, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 897)]).
step(between(0, 999, 897), builtin, [], []).
step(103 is 1000 - 897, builtin, [], []).
step(collatzTrajectory(102, [102, 51, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 102,
      'M' = [102, 51, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 898],
     [repeat(1000, 898),
      102 is 1000 - 898,
      collatz(102, [102, 51, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 898),
     rule(3),
     ['N' = 1000, 'I' = 898, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 898)]).
step(between(0, 999, 898), builtin, [], []).
step(102 is 1000 - 898, builtin, [], []).
step(collatzTrajectory(101, [101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 101,
      'M' = [101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 899],
     [repeat(1000, 899),
      101 is 1000 - 899,
      collatz(101, [101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 899),
     rule(3),
     ['N' = 1000, 'I' = 899, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 899)]).
step(between(0, 999, 899), builtin, [], []).
step(101 is 1000 - 899, builtin, [], []).
step(collatzTrajectory(100, [100, 50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 100,
      'M' = [100, 50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 900],
     [repeat(1000, 900),
      100 is 1000 - 900,
      collatz(100, [100, 50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 900),
     rule(3),
     ['N' = 1000, 'I' = 900, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 900)]).
step(between(0, 999, 900), builtin, [], []).
step(100 is 1000 - 900, builtin, [], []).
step(collatzTrajectory(99, [99, 298, 149, 448, 224, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 99,
      'M' = [99, 298, 149, 448, 224, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 901],
     [repeat(1000, 901),
      99 is 1000 - 901,
      collatz(99, [99, 298, 149, 448, 224, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 901),
     rule(3),
     ['N' = 1000, 'I' = 901, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 901)]).
step(between(0, 999, 901), builtin, [], []).
step(99 is 1000 - 901, builtin, [], []).
step(collatzTrajectory(98, [98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 98,
      'M' = [98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 902],
     [repeat(1000, 902),
      98 is 1000 - 902,
      collatz(98, [98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 902),
     rule(3),
     ['N' = 1000, 'I' = 902, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 902)]).
step(between(0, 999, 902), builtin, [], []).
step(98 is 1000 - 902, builtin, [], []).
step(collatzTrajectory(97, [97, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 97,
      'M' = [97, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 903],
     [repeat(1000, 903),
      97 is 1000 - 903,
      collatz(97, [97, 292, 146, 73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 903),
     rule(3),
     ['N' = 1000, 'I' = 903, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 903)]).
step(between(0, 999, 903), builtin, [], []).
step(97 is 1000 - 903, builtin, [], []).
step(collatzTrajectory(96, [96, 48, 24, 12, 6, 3, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 96, 'M' = [96, 48, 24, 12, 6, 3, 10, 5, 16, 8, 4, 2, 1], 'N0' = 904],
     [repeat(1000, 904),
      96 is 1000 - 904,
      collatz(96, [96, 48, 24, 12, 6, 3, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 904),
     rule(3),
     ['N' = 1000, 'I' = 904, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 904)]).
step(between(0, 999, 904), builtin, [], []).
step(96 is 1000 - 904, builtin, [], []).
step(collatzTrajectory(95, [95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 95,
      'M' = [95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 905],
     [repeat(1000, 905),
      95 is 1000 - 905,
      collatz(95, [95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 905),
     rule(3),
     ['N' = 1000, 'I' = 905, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 905)]).
step(between(0, 999, 905), builtin, [], []).
step(95 is 1000 - 905, builtin, [], []).
step(collatzTrajectory(94, [94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 94,
      'M' = [94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 906],
     [repeat(1000, 906),
      94 is 1000 - 906,
      collatz(94, [94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 906),
     rule(3),
     ['N' = 1000, 'I' = 906, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 906)]).
step(between(0, 999, 906), builtin, [], []).
step(94 is 1000 - 906, builtin, [], []).
step(collatzTrajectory(93, [93, 280, 140, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 93,
      'M' = [93, 280, 140, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 907],
     [repeat(1000, 907),
      93 is 1000 - 907,
      collatz(93, [93, 280, 140, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 907),
     rule(3),
     ['N' = 1000, 'I' = 907, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 907)]).
step(between(0, 999, 907), builtin, [], []).
step(93 is 1000 - 907, builtin, [], []).
step(collatzTrajectory(92, [92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 92,
      'M' = [92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 908],
     [repeat(1000, 908),
      92 is 1000 - 908,
      collatz(92, [92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 908),
     rule(3),
     ['N' = 1000, 'I' = 908, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 908)]).
step(between(0, 999, 908), builtin, [], []).
step(92 is 1000 - 908, builtin, [], []).
step(collatzTrajectory(91, [91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 91,
      'M' = [91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 909],
     [repeat(1000, 909),
      91 is 1000 - 909,
      collatz(91, [91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 909),
     rule(3),
     ['N' = 1000, 'I' = 909, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 909)]).
step(between(0, 999, 909), builtin, [], []).
step(91 is 1000 - 909, builtin, [], []).
step(collatzTrajectory(90, [90, 45, 136, 68, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 90,
      'M' = [90, 45, 136, 68, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 910],
     [repeat(1000, 910),
      90 is 1000 - 910,
      collatz(90, [90, 45, 136, 68, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 910),
     rule(3),
     ['N' = 1000, 'I' = 910, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 910)]).
step(between(0, 999, 910), builtin, [], []).
step(90 is 1000 - 910, builtin, [], []).
step(collatzTrajectory(89, [89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 89,
      'M' = [89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 911],
     [repeat(1000, 911),
      89 is 1000 - 911,
      collatz(89, [89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 911),
     rule(3),
     ['N' = 1000, 'I' = 911, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 911)]).
step(between(0, 999, 911), builtin, [], []).
step(89 is 1000 - 911, builtin, [], []).
step(collatzTrajectory(88, [88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 88,
      'M' = [88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 912],
     [repeat(1000, 912),
      88 is 1000 - 912,
      collatz(88, [88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 912),
     rule(3),
     ['N' = 1000, 'I' = 912, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 912)]).
step(between(0, 999, 912), builtin, [], []).
step(88 is 1000 - 912, builtin, [], []).
step(collatzTrajectory(87, [87, 262, 131, 394, 197, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 87,
      'M' = [87, 262, 131, 394, 197, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 913],
     [repeat(1000, 913),
      87 is 1000 - 913,
      collatz(87, [87, 262, 131, 394, 197, 592, 296, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 913),
     rule(3),
     ['N' = 1000, 'I' = 913, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 913)]).
step(between(0, 999, 913), builtin, [], []).
step(87 is 1000 - 913, builtin, [], []).
step(collatzTrajectory(86, [86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 86,
      'M' = [86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 914],
     [repeat(1000, 914),
      86 is 1000 - 914,
      collatz(86, [86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 914),
     rule(3),
     ['N' = 1000, 'I' = 914, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 914)]).
step(between(0, 999, 914), builtin, [], []).
step(86 is 1000 - 914, builtin, [], []).
step(collatzTrajectory(85, [85, 256, 128, 64, 32, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 85, 'M' = [85, 256, 128, 64, 32, 16, 8, 4, 2, 1], 'N0' = 915],
     [repeat(1000, 915), 85 is 1000 - 915, collatz(85, [85, 256, 128, 64, 32, 16, 8, 4, 2, 1])]).
step(repeat(1000, 915),
     rule(3),
     ['N' = 1000, 'I' = 915, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 915)]).
step(between(0, 999, 915), builtin, [], []).
step(85 is 1000 - 915, builtin, [], []).
step(collatzTrajectory(84, [84, 42, 21, 64, 32, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 84, 'M' = [84, 42, 21, 64, 32, 16, 8, 4, 2, 1], 'N0' = 916],
     [repeat(1000, 916), 84 is 1000 - 916, collatz(84, [84, 42, 21, 64, 32, 16, 8, 4, 2, 1])]).
step(repeat(1000, 916),
     rule(3),
     ['N' = 1000, 'I' = 916, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 916)]).
step(between(0, 999, 916), builtin, [], []).
step(84 is 1000 - 916, builtin, [], []).
step(collatzTrajectory(83, [83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 83,
      'M' = [83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 917],
     [repeat(1000, 917),
      83 is 1000 - 917,
      collatz(83, [83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 917),
     rule(3),
     ['N' = 1000, 'I' = 917, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 917)]).
step(between(0, 999, 917), builtin, [], []).
step(83 is 1000 - 917, builtin, [], []).
step(collatzTrajectory(82, [82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 82,
      'M' = [82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 918],
     [repeat(1000, 918),
      82 is 1000 - 918,
      collatz(82, [82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 918),
     rule(3),
     ['N' = 1000, 'I' = 918, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 918)]).
step(between(0, 999, 918), builtin, [], []).
step(82 is 1000 - 918, builtin, [], []).
step(collatzTrajectory(81, [81, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 81,
      'M' = [81, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 919],
     [repeat(1000, 919),
      81 is 1000 - 919,
      collatz(81, [81, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 919),
     rule(3),
     ['N' = 1000, 'I' = 919, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 919)]).
step(between(0, 999, 919), builtin, [], []).
step(81 is 1000 - 919, builtin, [], []).
step(collatzTrajectory(80, [80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 80, 'M' = [80, 40, 20, 10, 5, 16, 8, 4, 2, 1], 'N0' = 920],
     [repeat(1000, 920), 80 is 1000 - 920, collatz(80, [80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 920),
     rule(3),
     ['N' = 1000, 'I' = 920, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 920)]).
step(between(0, 999, 920), builtin, [], []).
step(80 is 1000 - 920, builtin, [], []).
step(collatzTrajectory(79, [79, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 79,
      'M' = [79, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 921],
     [repeat(1000, 921),
      79 is 1000 - 921,
      collatz(79, [79, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 921),
     rule(3),
     ['N' = 1000, 'I' = 921, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 921)]).
step(between(0, 999, 921), builtin, [], []).
step(79 is 1000 - 921, builtin, [], []).
step(collatzTrajectory(78, [78, 39, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 78,
      'M' = [78, 39, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 922],
     [repeat(1000, 922),
      78 is 1000 - 922,
      collatz(78, [78, 39, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 922),
     rule(3),
     ['N' = 1000, 'I' = 922, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 922)]).
step(between(0, 999, 922), builtin, [], []).
step(78 is 1000 - 922, builtin, [], []).
step(collatzTrajectory(77, [77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 77,
      'M' = [77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 923],
     [repeat(1000, 923),
      77 is 1000 - 923,
      collatz(77, [77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 923),
     rule(3),
     ['N' = 1000, 'I' = 923, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 923)]).
step(between(0, 999, 923), builtin, [], []).
step(77 is 1000 - 923, builtin, [], []).
step(collatzTrajectory(76, [76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 76,
      'M' = [76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 924],
     [repeat(1000, 924),
      76 is 1000 - 924,
      collatz(76, [76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 924),
     rule(3),
     ['N' = 1000, 'I' = 924, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 924)]).
step(between(0, 999, 924), builtin, [], []).
step(76 is 1000 - 924, builtin, [], []).
step(collatzTrajectory(75, [75, 226, 113, 340, 170, 85, 256, 128, 64, 32, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 75,
      'M' = [75, 226, 113, 340, 170, 85, 256, 128, 64, 32, 16, 8, 4, 2, 1],
      'N0' = 925],
     [repeat(1000, 925),
      75 is 1000 - 925,
      collatz(75, [75, 226, 113, 340, 170, 85, 256, 128, 64, 32, 16, 8, 4, 2, 1])]).
step(repeat(1000, 925),
     rule(3),
     ['N' = 1000, 'I' = 925, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 925)]).
step(between(0, 999, 925), builtin, [], []).
step(75 is 1000 - 925, builtin, [], []).
step(collatzTrajectory(74, [74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 74,
      'M' = [74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 926],
     [repeat(1000, 926),
      74 is 1000 - 926,
      collatz(74, [74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 926),
     rule(3),
     ['N' = 1000, 'I' = 926, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 926)]).
step(between(0, 999, 926), builtin, [], []).
step(74 is 1000 - 926, builtin, [], []).
step(collatzTrajectory(73, [73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 73,
      'M' = [73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 927],
     [repeat(1000, 927),
      73 is 1000 - 927,
      collatz(73, [73, 220, 110, 55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 927),
     rule(3),
     ['N' = 1000, 'I' = 927, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 927)]).
step(between(0, 999, 927), builtin, [], []).
step(73 is 1000 - 927, builtin, [], []).
step(collatzTrajectory(72, [72, 36, 18, 9, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 72,
      'M' = [72, 36, 18, 9, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 928],
     [repeat(1000, 928),
      72 is 1000 - 928,
      collatz(72, [72, 36, 18, 9, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 928),
     rule(3),
     ['N' = 1000, 'I' = 928, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 928)]).
step(between(0, 999, 928), builtin, [], []).
step(72 is 1000 - 928, builtin, [], []).
step(collatzTrajectory(71, [71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 71,
      'M' = [71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 929],
     [repeat(1000, 929),
      71 is 1000 - 929,
      collatz(71, [71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 929),
     rule(3),
     ['N' = 1000, 'I' = 929, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 929)]).
step(between(0, 999, 929), builtin, [], []).
step(71 is 1000 - 929, builtin, [], []).
step(collatzTrajectory(70, [70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 70, 'M' = [70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1], 'N0' = 930],
     [repeat(1000, 930),
      70 is 1000 - 930,
      collatz(70, [70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 930),
     rule(3),
     ['N' = 1000, 'I' = 930, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 930)]).
step(between(0, 999, 930), builtin, [], []).
step(70 is 1000 - 930, builtin, [], []).
step(collatzTrajectory(69, [69, 208, 104, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 69, 'M' = [69, 208, 104, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1], 'N0' = 931],
     [repeat(1000, 931),
      69 is 1000 - 931,
      collatz(69, [69, 208, 104, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 931),
     rule(3),
     ['N' = 1000, 'I' = 931, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 931)]).
step(between(0, 999, 931), builtin, [], []).
step(69 is 1000 - 931, builtin, [], []).
step(collatzTrajectory(68, [68, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 68, 'M' = [68, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1], 'N0' = 932],
     [repeat(1000, 932),
      68 is 1000 - 932,
      collatz(68, [68, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 932),
     rule(3),
     ['N' = 1000, 'I' = 932, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 932)]).
step(between(0, 999, 932), builtin, [], []).
step(68 is 1000 - 932, builtin, [], []).
step(collatzTrajectory(67, [67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 67,
      'M' = [67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 933],
     [repeat(1000, 933),
      67 is 1000 - 933,
      collatz(67, [67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 933),
     rule(3),
     ['N' = 1000, 'I' = 933, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 933)]).
step(between(0, 999, 933), builtin, [], []).
step(67 is 1000 - 933, builtin, [], []).
step(collatzTrajectory(66, [66, 33, 100, 50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 66,
      'M' = [66, 33, 100, 50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 934],
     [repeat(1000, 934),
      66 is 1000 - 934,
      collatz(66, [66, 33, 100, 50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 934),
     rule(3),
     ['N' = 1000, 'I' = 934, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 934)]).
step(between(0, 999, 934), builtin, [], []).
step(66 is 1000 - 934, builtin, [], []).
step(collatzTrajectory(65, [65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 65,
      'M' = [65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 935],
     [repeat(1000, 935),
      65 is 1000 - 935,
      collatz(65, [65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 935),
     rule(3),
     ['N' = 1000, 'I' = 935, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 935)]).
step(between(0, 999, 935), builtin, [], []).
step(65 is 1000 - 935, builtin, [], []).
step(collatzTrajectory(64, [64, 32, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 64, 'M' = [64, 32, 16, 8, 4, 2, 1], 'N0' = 936],
     [repeat(1000, 936), 64 is 1000 - 936, collatz(64, [64, 32, 16, 8, 4, 2, 1])]).
step(repeat(1000, 936),
     rule(3),
     ['N' = 1000, 'I' = 936, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 936)]).
step(between(0, 999, 936), builtin, [], []).
step(64 is 1000 - 936, builtin, [], []).
step(collatzTrajectory(63, [63, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 63,
      'M' = [63, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 937],
     [repeat(1000, 937),
      63 is 1000 - 937,
      collatz(63, [63, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 937),
     rule(3),
     ['N' = 1000, 'I' = 937, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 937)]).
step(between(0, 999, 937), builtin, [], []).
step(63 is 1000 - 937, builtin, [], []).
step(collatzTrajectory(62, [62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 62,
      'M' = [62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 938],
     [repeat(1000, 938),
      62 is 1000 - 938,
      collatz(62, [62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 938),
     rule(3),
     ['N' = 1000, 'I' = 938, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 938)]).
step(between(0, 999, 938), builtin, [], []).
step(62 is 1000 - 938, builtin, [], []).
step(collatzTrajectory(61, [61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 61,
      'M' = [61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 939],
     [repeat(1000, 939),
      61 is 1000 - 939,
      collatz(61, [61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 939),
     rule(3),
     ['N' = 1000, 'I' = 939, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 939)]).
step(between(0, 999, 939), builtin, [], []).
step(61 is 1000 - 939, builtin, [], []).
step(collatzTrajectory(60, [60, 30, 15, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 60,
      'M' = [60, 30, 15, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 940],
     [repeat(1000, 940),
      60 is 1000 - 940,
      collatz(60, [60, 30, 15, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 940),
     rule(3),
     ['N' = 1000, 'I' = 940, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 940)]).
step(between(0, 999, 940), builtin, [], []).
step(60 is 1000 - 940, builtin, [], []).
step(collatzTrajectory(59, [59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 59,
      'M' = [59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 941],
     [repeat(1000, 941),
      59 is 1000 - 941,
      collatz(59, [59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 941),
     rule(3),
     ['N' = 1000, 'I' = 941, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 941)]).
step(between(0, 999, 941), builtin, [], []).
step(59 is 1000 - 941, builtin, [], []).
step(collatzTrajectory(58, [58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 58,
      'M' = [58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 942],
     [repeat(1000, 942),
      58 is 1000 - 942,
      collatz(58, [58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 942),
     rule(3),
     ['N' = 1000, 'I' = 942, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 942)]).
step(between(0, 999, 942), builtin, [], []).
step(58 is 1000 - 942, builtin, [], []).
step(collatzTrajectory(57, [57, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 57,
      'M' = [57, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 943],
     [repeat(1000, 943),
      57 is 1000 - 943,
      collatz(57, [57, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 943),
     rule(3),
     ['N' = 1000, 'I' = 943, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 943)]).
step(between(0, 999, 943), builtin, [], []).
step(57 is 1000 - 943, builtin, [], []).
step(collatzTrajectory(56, [56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 56,
      'M' = [56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 944],
     [repeat(1000, 944),
      56 is 1000 - 944,
      collatz(56, [56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 944),
     rule(3),
     ['N' = 1000, 'I' = 944, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 944)]).
step(between(0, 999, 944), builtin, [], []).
step(56 is 1000 - 944, builtin, [], []).
step(collatzTrajectory(55, [55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 55,
      'M' = [55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 945],
     [repeat(1000, 945),
      55 is 1000 - 945,
      collatz(55, [55, 166, 83, 250, 125, 376, 188, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 945),
     rule(3),
     ['N' = 1000, 'I' = 945, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 945)]).
step(between(0, 999, 945), builtin, [], []).
step(55 is 1000 - 945, builtin, [], []).
step(collatzTrajectory(54, [54, 27, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 54,
      'M' = [54, 27, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 946],
     [repeat(1000, 946),
      54 is 1000 - 946,
      collatz(54, [54, 27, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 946),
     rule(3),
     ['N' = 1000, 'I' = 946, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 946)]).
step(between(0, 999, 946), builtin, [], []).
step(54 is 1000 - 946, builtin, [], []).
step(collatzTrajectory(53, [53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 53, 'M' = [53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1], 'N0' = 947],
     [repeat(1000, 947),
      53 is 1000 - 947,
      collatz(53, [53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 947),
     rule(3),
     ['N' = 1000, 'I' = 947, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 947)]).
step(between(0, 999, 947), builtin, [], []).
step(53 is 1000 - 947, builtin, [], []).
step(collatzTrajectory(52, [52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 52, 'M' = [52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1], 'N0' = 948],
     [repeat(1000, 948),
      52 is 1000 - 948,
      collatz(52, [52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 948),
     rule(3),
     ['N' = 1000, 'I' = 948, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 948)]).
step(between(0, 999, 948), builtin, [], []).
step(52 is 1000 - 948, builtin, [], []).
step(collatzTrajectory(51, [51, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 51,
      'M' = [51, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 949],
     [repeat(1000, 949),
      51 is 1000 - 949,
      collatz(51, [51, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 949),
     rule(3),
     ['N' = 1000, 'I' = 949, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 949)]).
step(between(0, 999, 949), builtin, [], []).
step(51 is 1000 - 949, builtin, [], []).
step(collatzTrajectory(50, [50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 50,
      'M' = [50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 950],
     [repeat(1000, 950),
      50 is 1000 - 950,
      collatz(50, [50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 950),
     rule(3),
     ['N' = 1000, 'I' = 950, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 950)]).
step(between(0, 999, 950), builtin, [], []).
step(50 is 1000 - 950, builtin, [], []).
step(collatzTrajectory(49, [49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 49,
      'M' = [49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 951],
     [repeat(1000, 951),
      49 is 1000 - 951,
      collatz(49, [49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 951),
     rule(3),
     ['N' = 1000, 'I' = 951, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 951)]).
step(between(0, 999, 951), builtin, [], []).
step(49 is 1000 - 951, builtin, [], []).
step(collatzTrajectory(48, [48, 24, 12, 6, 3, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 48, 'M' = [48, 24, 12, 6, 3, 10, 5, 16, 8, 4, 2, 1], 'N0' = 952],
     [repeat(1000, 952),
      48 is 1000 - 952,
      collatz(48, [48, 24, 12, 6, 3, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 952),
     rule(3),
     ['N' = 1000, 'I' = 952, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 952)]).
step(between(0, 999, 952), builtin, [], []).
step(48 is 1000 - 952, builtin, [], []).
step(collatzTrajectory(47, [47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 47,
      'M' = [47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 953],
     [repeat(1000, 953),
      47 is 1000 - 953,
      collatz(47, [47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 953),
     rule(3),
     ['N' = 1000, 'I' = 953, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 953)]).
step(between(0, 999, 953), builtin, [], []).
step(47 is 1000 - 953, builtin, [], []).
step(collatzTrajectory(46, [46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 46,
      'M' = [46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 954],
     [repeat(1000, 954),
      46 is 1000 - 954,
      collatz(46, [46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 954),
     rule(3),
     ['N' = 1000, 'I' = 954, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 954)]).
step(between(0, 999, 954), builtin, [], []).
step(46 is 1000 - 954, builtin, [], []).
step(collatzTrajectory(45, [45, 136, 68, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 45,
      'M' = [45, 136, 68, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 955],
     [repeat(1000, 955),
      45 is 1000 - 955,
      collatz(45, [45, 136, 68, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 955),
     rule(3),
     ['N' = 1000, 'I' = 955, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 955)]).
step(between(0, 999, 955), builtin, [], []).
step(45 is 1000 - 955, builtin, [], []).
step(collatzTrajectory(44, [44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 44,
      'M' = [44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 956],
     [repeat(1000, 956),
      44 is 1000 - 956,
      collatz(44, [44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 956),
     rule(3),
     ['N' = 1000, 'I' = 956, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 956)]).
step(between(0, 999, 956), builtin, [], []).
step(44 is 1000 - 956, builtin, [], []).
step(collatzTrajectory(43, [43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 43,
      'M' = [43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 957],
     [repeat(1000, 957),
      43 is 1000 - 957,
      collatz(43, [43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 957),
     rule(3),
     ['N' = 1000, 'I' = 957, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 957)]).
step(between(0, 999, 957), builtin, [], []).
step(43 is 1000 - 957, builtin, [], []).
step(collatzTrajectory(42, [42, 21, 64, 32, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 42, 'M' = [42, 21, 64, 32, 16, 8, 4, 2, 1], 'N0' = 958],
     [repeat(1000, 958), 42 is 1000 - 958, collatz(42, [42, 21, 64, 32, 16, 8, 4, 2, 1])]).
step(repeat(1000, 958),
     rule(3),
     ['N' = 1000, 'I' = 958, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 958)]).
step(between(0, 999, 958), builtin, [], []).
step(42 is 1000 - 958, builtin, [], []).
step(collatzTrajectory(41, [41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 41,
      'M' = [41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 959],
     [repeat(1000, 959),
      41 is 1000 - 959,
      collatz(41, [41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 959),
     rule(3),
     ['N' = 1000, 'I' = 959, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 959)]).
step(between(0, 999, 959), builtin, [], []).
step(41 is 1000 - 959, builtin, [], []).
step(collatzTrajectory(40, [40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 40, 'M' = [40, 20, 10, 5, 16, 8, 4, 2, 1], 'N0' = 960],
     [repeat(1000, 960), 40 is 1000 - 960, collatz(40, [40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 960),
     rule(3),
     ['N' = 1000, 'I' = 960, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 960)]).
step(between(0, 999, 960), builtin, [], []).
step(40 is 1000 - 960, builtin, [], []).
step(collatzTrajectory(39, [39, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 39,
      'M' = [39, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 961],
     [repeat(1000, 961),
      39 is 1000 - 961,
      collatz(39, [39, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 961),
     rule(3),
     ['N' = 1000, 'I' = 961, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 961)]).
step(between(0, 999, 961), builtin, [], []).
step(39 is 1000 - 961, builtin, [], []).
step(collatzTrajectory(38, [38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 38,
      'M' = [38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 962],
     [repeat(1000, 962),
      38 is 1000 - 962,
      collatz(38, [38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 962),
     rule(3),
     ['N' = 1000, 'I' = 962, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 962)]).
step(between(0, 999, 962), builtin, [], []).
step(38 is 1000 - 962, builtin, [], []).
step(collatzTrajectory(37, [37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 37,
      'M' = [37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 963],
     [repeat(1000, 963),
      37 is 1000 - 963,
      collatz(37, [37, 112, 56, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 963),
     rule(3),
     ['N' = 1000, 'I' = 963, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 963)]).
step(between(0, 999, 963), builtin, [], []).
step(37 is 1000 - 963, builtin, [], []).
step(collatzTrajectory(36, [36, 18, 9, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 36,
      'M' = [36, 18, 9, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 964],
     [repeat(1000, 964),
      36 is 1000 - 964,
      collatz(36, [36, 18, 9, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 964),
     rule(3),
     ['N' = 1000, 'I' = 964, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 964)]).
step(between(0, 999, 964), builtin, [], []).
step(36 is 1000 - 964, builtin, [], []).
step(collatzTrajectory(35, [35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 35, 'M' = [35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1], 'N0' = 965],
     [repeat(1000, 965),
      35 is 1000 - 965,
      collatz(35, [35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 965),
     rule(3),
     ['N' = 1000, 'I' = 965, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 965)]).
step(between(0, 999, 965), builtin, [], []).
step(35 is 1000 - 965, builtin, [], []).
step(collatzTrajectory(34, [34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 34, 'M' = [34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1], 'N0' = 966],
     [repeat(1000, 966),
      34 is 1000 - 966,
      collatz(34, [34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 966),
     rule(3),
     ['N' = 1000, 'I' = 966, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 966)]).
step(between(0, 999, 966), builtin, [], []).
step(34 is 1000 - 966, builtin, [], []).
step(collatzTrajectory(33, [33, 100, 50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 33,
      'M' = [33, 100, 50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 967],
     [repeat(1000, 967),
      33 is 1000 - 967,
      collatz(33, [33, 100, 50, 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 967),
     rule(3),
     ['N' = 1000, 'I' = 967, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 967)]).
step(between(0, 999, 967), builtin, [], []).
step(33 is 1000 - 967, builtin, [], []).
step(collatzTrajectory(32, [32, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 32, 'M' = [32, 16, 8, 4, 2, 1], 'N0' = 968],
     [repeat(1000, 968), 32 is 1000 - 968, collatz(32, [32, 16, 8, 4, 2, 1])]).
step(repeat(1000, 968),
     rule(3),
     ['N' = 1000, 'I' = 968, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 968)]).
step(between(0, 999, 968), builtin, [], []).
step(32 is 1000 - 968, builtin, [], []).
step(collatzTrajectory(31, [31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 31,
      'M' = [31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 969],
     [repeat(1000, 969),
      31 is 1000 - 969,
      collatz(31, [31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 969),
     rule(3),
     ['N' = 1000, 'I' = 969, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 969)]).
step(between(0, 999, 969), builtin, [], []).
step(31 is 1000 - 969, builtin, [], []).
step(collatzTrajectory(30, [30, 15, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 30,
      'M' = [30, 15, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 970],
     [repeat(1000, 970),
      30 is 1000 - 970,
      collatz(30, [30, 15, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 970),
     rule(3),
     ['N' = 1000, 'I' = 970, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 970)]).
step(between(0, 999, 970), builtin, [], []).
step(30 is 1000 - 970, builtin, [], []).
step(collatzTrajectory(29, [29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 29,
      'M' = [29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 971],
     [repeat(1000, 971),
      29 is 1000 - 971,
      collatz(29, [29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 971),
     rule(3),
     ['N' = 1000, 'I' = 971, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 971)]).
step(between(0, 999, 971), builtin, [], []).
step(29 is 1000 - 971, builtin, [], []).
step(collatzTrajectory(28, [28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 28,
      'M' = [28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 972],
     [repeat(1000, 972),
      28 is 1000 - 972,
      collatz(28, [28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 972),
     rule(3),
     ['N' = 1000, 'I' = 972, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 972)]).
step(between(0, 999, 972), builtin, [], []).
step(28 is 1000 - 972, builtin, [], []).
step(collatzTrajectory(27, [27, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 27,
      'M' = [27, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 973],
     [repeat(1000, 973),
      27 is 1000 - 973,
      collatz(27, [27, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 973),
     rule(3),
     ['N' = 1000, 'I' = 973, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 973)]).
step(between(0, 999, 973), builtin, [], []).
step(27 is 1000 - 973, builtin, [], []).
step(collatzTrajectory(26, [26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 26, 'M' = [26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1], 'N0' = 974],
     [repeat(1000, 974), 26 is 1000 - 974, collatz(26, [26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 974),
     rule(3),
     ['N' = 1000, 'I' = 974, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 974)]).
step(between(0, 999, 974), builtin, [], []).
step(26 is 1000 - 974, builtin, [], []).
step(collatzTrajectory(25, [25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 25,
      'M' = [25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 975],
     [repeat(1000, 975),
      25 is 1000 - 975,
      collatz(25, [25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 975),
     rule(3),
     ['N' = 1000, 'I' = 975, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 975)]).
step(between(0, 999, 975), builtin, [], []).
step(25 is 1000 - 975, builtin, [], []).
step(collatzTrajectory(24, [24, 12, 6, 3, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 24, 'M' = [24, 12, 6, 3, 10, 5, 16, 8, 4, 2, 1], 'N0' = 976],
     [repeat(1000, 976), 24 is 1000 - 976, collatz(24, [24, 12, 6, 3, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 976),
     rule(3),
     ['N' = 1000, 'I' = 976, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 976)]).
step(between(0, 999, 976), builtin, [], []).
step(24 is 1000 - 976, builtin, [], []).
step(collatzTrajectory(23, [23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 23, 'M' = [23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1], 'N0' = 977],
     [repeat(1000, 977),
      23 is 1000 - 977,
      collatz(23, [23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 977),
     rule(3),
     ['N' = 1000, 'I' = 977, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 977)]).
step(between(0, 999, 977), builtin, [], []).
step(23 is 1000 - 977, builtin, [], []).
step(collatzTrajectory(22, [22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 22, 'M' = [22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1], 'N0' = 978],
     [repeat(1000, 978),
      22 is 1000 - 978,
      collatz(22, [22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 978),
     rule(3),
     ['N' = 1000, 'I' = 978, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 978)]).
step(between(0, 999, 978), builtin, [], []).
step(22 is 1000 - 978, builtin, [], []).
step(collatzTrajectory(21, [21, 64, 32, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 21, 'M' = [21, 64, 32, 16, 8, 4, 2, 1], 'N0' = 979],
     [repeat(1000, 979), 21 is 1000 - 979, collatz(21, [21, 64, 32, 16, 8, 4, 2, 1])]).
step(repeat(1000, 979),
     rule(3),
     ['N' = 1000, 'I' = 979, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 979)]).
step(between(0, 999, 979), builtin, [], []).
step(21 is 1000 - 979, builtin, [], []).
step(collatzTrajectory(20, [20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 20, 'M' = [20, 10, 5, 16, 8, 4, 2, 1], 'N0' = 980],
     [repeat(1000, 980), 20 is 1000 - 980, collatz(20, [20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 980),
     rule(3),
     ['N' = 1000, 'I' = 980, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 980)]).
step(between(0, 999, 980), builtin, [], []).
step(20 is 1000 - 980, builtin, [], []).
step(collatzTrajectory(19, [19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 19,
      'M' = [19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 981],
     [repeat(1000, 981),
      19 is 1000 - 981,
      collatz(19, [19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 981),
     rule(3),
     ['N' = 1000, 'I' = 981, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 981)]).
step(between(0, 999, 981), builtin, [], []).
step(19 is 1000 - 981, builtin, [], []).
step(collatzTrajectory(18, [18, 9, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 18,
      'M' = [18, 9, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 982],
     [repeat(1000, 982),
      18 is 1000 - 982,
      collatz(18, [18, 9, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 982),
     rule(3),
     ['N' = 1000, 'I' = 982, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 982)]).
step(between(0, 999, 982), builtin, [], []).
step(18 is 1000 - 982, builtin, [], []).
step(collatzTrajectory(17, [17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 17, 'M' = [17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1], 'N0' = 983],
     [repeat(1000, 983),
      17 is 1000 - 983,
      collatz(17, [17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 983),
     rule(3),
     ['N' = 1000, 'I' = 983, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 983)]).
step(between(0, 999, 983), builtin, [], []).
step(17 is 1000 - 983, builtin, [], []).
step(collatzTrajectory(16, [16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 16, 'M' = [16, 8, 4, 2, 1], 'N0' = 984],
     [repeat(1000, 984), 16 is 1000 - 984, collatz(16, [16, 8, 4, 2, 1])]).
step(repeat(1000, 984),
     rule(3),
     ['N' = 1000, 'I' = 984, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 984)]).
step(between(0, 999, 984), builtin, [], []).
step(16 is 1000 - 984, builtin, [], []).
step(collatzTrajectory(15, [15, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 15,
      'M' = [15, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 985],
     [repeat(1000, 985),
      15 is 1000 - 985,
      collatz(15, [15, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 985),
     rule(3),
     ['N' = 1000, 'I' = 985, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 985)]).
step(between(0, 999, 985), builtin, [], []).
step(15 is 1000 - 985, builtin, [], []).
step(collatzTrajectory(14, [14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 14,
      'M' = [14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 986],
     [repeat(1000, 986),
      14 is 1000 - 986,
      collatz(14, [14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 986),
     rule(3),
     ['N' = 1000, 'I' = 986, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 986)]).
step(between(0, 999, 986), builtin, [], []).
step(14 is 1000 - 986, builtin, [], []).
step(collatzTrajectory(13, [13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 13, 'M' = [13, 40, 20, 10, 5, 16, 8, 4, 2, 1], 'N0' = 987],
     [repeat(1000, 987), 13 is 1000 - 987, collatz(13, [13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 987),
     rule(3),
     ['N' = 1000, 'I' = 987, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 987)]).
step(between(0, 999, 987), builtin, [], []).
step(13 is 1000 - 987, builtin, [], []).
step(collatzTrajectory(12, [12, 6, 3, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 12, 'M' = [12, 6, 3, 10, 5, 16, 8, 4, 2, 1], 'N0' = 988],
     [repeat(1000, 988), 12 is 1000 - 988, collatz(12, [12, 6, 3, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 988),
     rule(3),
     ['N' = 1000, 'I' = 988, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 988)]).
step(between(0, 999, 988), builtin, [], []).
step(12 is 1000 - 988, builtin, [], []).
step(collatzTrajectory(11, [11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 11, 'M' = [11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1], 'N0' = 989],
     [repeat(1000, 989),
      11 is 1000 - 989,
      collatz(11, [11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 989),
     rule(3),
     ['N' = 1000, 'I' = 989, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 989)]).
step(between(0, 999, 989), builtin, [], []).
step(11 is 1000 - 989, builtin, [], []).
step(collatzTrajectory(10, [10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 10, 'M' = [10, 5, 16, 8, 4, 2, 1], 'N0' = 990],
     [repeat(1000, 990), 10 is 1000 - 990, collatz(10, [10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 990),
     rule(3),
     ['N' = 1000, 'I' = 990, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 990)]).
step(between(0, 999, 990), builtin, [], []).
step(10 is 1000 - 990, builtin, [], []).
step(collatzTrajectory(9, [9, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 9,
      'M' = [9, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1],
      'N0' = 991],
     [repeat(1000, 991),
      9 is 1000 - 991,
      collatz(9, [9, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 991),
     rule(3),
     ['N' = 1000, 'I' = 991, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 991)]).
step(between(0, 999, 991), builtin, [], []).
step(9 is 1000 - 991, builtin, [], []).
step(collatzTrajectory(8, [8, 4, 2, 1]),
     rule(2),
     ['N' = 8, 'M' = [8, 4, 2, 1], 'N0' = 992],
     [repeat(1000, 992), 8 is 1000 - 992, collatz(8, [8, 4, 2, 1])]).
step(repeat(1000, 992),
     rule(3),
     ['N' = 1000, 'I' = 992, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 992)]).
step(between(0, 999, 992), builtin, [], []).
step(8 is 1000 - 992, builtin, [], []).
step(collatzTrajectory(7, [7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 7, 'M' = [7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1], 'N0' = 993],
     [repeat(1000, 993),
      7 is 1000 - 993,
      collatz(7, [7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 993),
     rule(3),
     ['N' = 1000, 'I' = 993, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 993)]).
step(between(0, 999, 993), builtin, [], []).
step(7 is 1000 - 993, builtin, [], []).
step(collatzTrajectory(6, [6, 3, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 6, 'M' = [6, 3, 10, 5, 16, 8, 4, 2, 1], 'N0' = 994],
     [repeat(1000, 994), 6 is 1000 - 994, collatz(6, [6, 3, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 994),
     rule(3),
     ['N' = 1000, 'I' = 994, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 994)]).
step(between(0, 999, 994), builtin, [], []).
step(6 is 1000 - 994, builtin, [], []).
step(collatzTrajectory(5, [5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 5, 'M' = [5, 16, 8, 4, 2, 1], 'N0' = 995],
     [repeat(1000, 995), 5 is 1000 - 995, collatz(5, [5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 995),
     rule(3),
     ['N' = 1000, 'I' = 995, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 995)]).
step(between(0, 999, 995), builtin, [], []).
step(5 is 1000 - 995, builtin, [], []).
step(collatzTrajectory(4, [4, 2, 1]),
     rule(2),
     ['N' = 4, 'M' = [4, 2, 1], 'N0' = 996],
     [repeat(1000, 996), 4 is 1000 - 996, collatz(4, [4, 2, 1])]).
step(repeat(1000, 996),
     rule(3),
     ['N' = 1000, 'I' = 996, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 996)]).
step(between(0, 999, 996), builtin, [], []).
step(4 is 1000 - 996, builtin, [], []).
step(collatzTrajectory(3, [3, 10, 5, 16, 8, 4, 2, 1]),
     rule(2),
     ['N' = 3, 'M' = [3, 10, 5, 16, 8, 4, 2, 1], 'N0' = 997],
     [repeat(1000, 997), 3 is 1000 - 997, collatz(3, [3, 10, 5, 16, 8, 4, 2, 1])]).
step(repeat(1000, 997),
     rule(3),
     ['N' = 1000, 'I' = 997, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 997)]).
step(between(0, 999, 997), builtin, [], []).
step(3 is 1000 - 997, builtin, [], []).
step(collatzTrajectory(2, [2, 1]),
     rule(2),
     ['N' = 2, 'M' = [2, 1], 'N0' = 998],
     [repeat(1000, 998), 2 is 1000 - 998, collatz(2, [2, 1])]).
step(repeat(1000, 998),
     rule(3),
     ['N' = 1000, 'I' = 998, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 998)]).
step(between(0, 999, 998), builtin, [], []).
step(2 is 1000 - 998, builtin, [], []).
step(collatzTrajectory(1, [1]),
     rule(2),
     ['N' = 1, 'M' = [1], 'N0' = 999],
     [repeat(1000, 999), 1 is 1000 - 999, collatz(1, [1])]).
step(repeat(1000, 999),
     rule(3),
     ['N' = 1000, 'I' = 999, 'Last' = 999],
     [999 is 1000 - 1, between(0, 999, 999)]).
step(between(0, 999, 999), builtin, [], []).
step(1 is 1000 - 999, builtin, [], []).