[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,79.94814,134.9491,196.950287,259.951477,353.953125,369.953552,454.955017,553.9566,613.9577,668.9586,814.9612,806.961,953.963562,952.963562,1059.96558,1148.96777,1182.96851,1460.97485,1464.9751,1575.97754,1551.977,1770.98218,1769.98218,1916.9856,2098.98975,2201.99219,2303.99438,2244.99316,2499.999,2649.00244,2695.00342,2849.007,3004.01074,2982.01025,2971.01,3254.0166,3485.02075,3593.018,3659.0166,3757.0144,3871.01172,3979.00928,4102.00635,4146.00439,4370.99365,4229.00049,4561.985,4459.98975,4686.979,4872.9707,4734.977,4882.97,5021.964,5026.96338,5011.96436,5278.95166,5148.958,5317.94971,5329.949,5368.94775,5401.946,5359.94775,5564.93848,5449.944,5459.94336,5468.943,5614.936,5566.93848,5593.937,5694.93262,5599.937,5749.92969,5699.932,5638.935,5790.928,5672.93359,5637.935,5728.93066,5602.93652,5706.932,5666.93359,5582.9375,5766.929,5612.936,5639.935,5439.94434,5657.934,5480.94238,5504.94141,5567.93848,5382.947,5564.93848,5550.939,5576.938,5309.95,5267.952,5370.94727,5342.94873,5320.94971,5408.946,5232.954,5312.95,5259.95264,5260.95264,5152.95752,5059.962,5145.958,5019.964,5035.963,4931.968,4925.96826,4846.97168,4812.973,4892.96973,4942.96729,4795.974,4808.97363,4736.977,4800.974,4652.981,4664.98,4578.98438,4649.981,4449.99,4597.9834,4378.99365,4406.992,4523.987,4370.99365,4288.99756,4328.99561,4298.997,4294.99756,4337.99561,4232.00049,4170.003,4129.005,4184.00244,4064.00732,4114.006,4031.008,4052.00757,4127.00537,3797.01343,3870.01172,3879.01147,3857.012,3936.01025,3921.0105,3894.01123,3800.01343,3917.011,3780.014,3805.01318,3798.01343,3763.01416,3677.016,3708.01538,3774.014,3736.015,3584.01831,3649.01685,3681.016,3527.01978,3652.01685,3632.01733,3622.01758,3573.01855,3562.0188,3425.02051,3470.021,3388.01953,3325.018,3458.02124,3476.02075,3329.01831,3403.02,3275.017,3316.01782,3291.01733,3419.02026,3289.01733,3287.01733,3196.01514,3251.01636,3141.014,3211.01538,3036.01147,3081.01245,3005.01074,3014.011,2948.00928,3010.01074,2909.00854,3021.011,2943.00928,2896.0083,2790.00562,2851.007,2697.00366,2748.00464,2658.00269,2676.00317,2620.00171,2729.00439,2500.999,2552.00024,2440.99756,2377.996,2428.99731,2262.99341,2431.99731,2296.99438,2295.99438,2367.99585,2240.993,2258.99341,2183.9917,2218.99243,2091.9895,1995.9873,2028.988,2096.98975,2052.98853,2020.98779,2126.99023,1845.98389,1881.98462,1907.98535,1741.98145,1747.98145,1672.97974,1760.98193,1723.981,1742.98145,1664.97974,1575.97754,1559.97729,1527.97656,1571.97754,1519.97632,1589.97778,1508.97607,1504.97583,1422.97412,1459.97485,1329.97192,1343.97217,1308.97144,1204.969,1187.96851,1195.96875,1203.969,1070.96582,1210.969,1073.96582,1014.96466,990.964355,1016.96466,995.9643,1003.96448,866.9621,902.962646,943.9634,754.9601,826.961365,743.9599,806.961,686.959045,646.958252,720.959534,757.9601,656.958435,587.957153,664.9587,528.9563,484.955566,504.9557,506.955933,437.9546,404.954041,427.9544,416.954224,378.9535,364.9533,353.953125,225.950882,294.952026,260.951477,272.95166,227.950882,140.9493,230.950882,120.948906,81.94814,74.9482,164.949692,113.948715,53.9478149,0.0,29.94719,0.0,11.947051,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,4.94680643,0.0,0.0,0.0,0.0,31.9474335,0.0,39.94738,0.0,6.94680738,46.94757,16.9469986,28.94719,53.9478149,93.94833,48.94757,52.9478149,83.94814,59.94776,82.94814,0.0,116.948959,131.9491,134.9491,178.94989,113.948715,155.9495,152.9495,140.9493,201.950531,103.948524,159.949738,153.9495,165.949692,271.95166,148.949539,207.950485,219.950684,214.950684,238.95108,240.95108,257.951477,245.951279,296.952271,275.9519,328.95282,246.951279,284.9521,232.951126,338.953,263.951721,157.9495,352.953125,356.953125,229.950882,367.9533,280.951843,368.953552,392.953857,381.953674,411.954285,357.953125,411.954285,438.9546,419.954224,318.952576,432.954651,364.9533,466.955139,438.9546,418.954224,384.953674,481.955322,442.954834,515.9559,517.9561,470.955139,464.9552,454.955017,439.9546,424.9544,530.956238,530.956238,453.955017,448.954773,505.955933,481.955322,507.955933,470.955139,511.955872,474.955383,543.9564,516.9561,581.957153,557.9566,522.956055,596.957336,567.9568,497.9557,564.9568,517.9561,567.9568,579.9572,612.957764,635.958069,590.9574,656.958435,676.9588,540.9564,686.959045,547.956665,549.956665,678.9588,649.958252,643.9583,605.9575,633.9581,755.9601,630.9579,636.958069,545.9564,679.9588,634.958069,579.9572,677.9588,674.958862,637.958069,627.9579,720.959534,610.957764,704.959167,660.958435,672.9586,666.9586,709.959351,718.959534,596.957336,760.960266,628.9579,657.958435,638.958069,709.959351,728.9598,715.959351,682.9588,672.9586,634.958069,641.958069,674.958862,743.9599,734.9597,565.9568,734.9597,715.959351,646.958252,652.958252,644.958252,675.958862,673.9586,673.9586,630.9579,643.9583,707.9594,740.9599,655.958435,647.958252,651.958252,646.958252,754.9601,683.9588,747.960144,674.958862,704.959167,704.959167,685.959045,689.959,716.9596,769.9605,720.959534,750.9601,758.9603,456.954956,822.9614,794.9608,718.959534,489.9555,854.962,802.961,568.957031,709.959351,648.958252,868.9621,862.9619,761.960266,860.9619,852.961731,934.9632,946.9634,864.962158,977.9639,861.9619,1011.96472,953.963562,889.962463,943.9634,925.963,961.963745,1032.96509,1017.96466,1048.96533,961.963745,1015.96466,1047.96533,1091.96631,980.9642,1075.96606,1010.96448,1085.96631,1083.96606,1090.96631,1045.96533,1064.96582,1027.96484,1057.96558,1060.96558,1120.967,1153.96777,1175.96826,1184.96851,1154.96777,1086.96631,1187.96851,1171.96826,1096.96655,1234.96973,1170.96826,1096.96655,1227.96948,1190.96875,1162.968,1202.969,1303.97119,1196.96875,1205.969,1253.97021,1225.96948,1230.96948,1227.96948,1328.97192,1252.97,1195.96875,1261.97021,1239.96973,1280.9707,1227.96948,1181.96851,1258.97021,1221.96948,1288.971,1248.97,1294.971,1260.97021,1264.97046,1328.97192,1273.97046,1323.97168,1276.9707,1346.97217,1309.97144,1288.971,1265.97046,1381.97314,1347.97241,1298.97119,1340.97217,1334.97192,1381.97314,1305.97144,1372.9729,1433.97437,1355.97241,1482.97534,1408.97363,1397.97339,1406.97363,1425.97412,1491.97559,1319.97168,1433.97437,1480.97534,1468.9751,1502.97583,1434.97437,1426.97412,1433.97437,1505.97607,1480.97534,1382.97314,1496.97583,1570.97754,1482.97534,1588.97778,1514.97607,1450.97461,1578.97754,1502.97583,1602.97827,1497.97583,1582.97778,1560.97729,1582.97778,1540.97681,1551.977,1581.97778,1516.97632,1660.97949,1719.981,1680.98,1661.97949,1586.97778,1648.97925,1573.97754,1607.97827,1592.978,1686.98022,1669.97974,1624.97876,1627.97876,1716.981,1740.98145,1804.98291,1671.97974,1624.97876,1818.98315,1761.98193,1728.9812,1860.98413,1750.98169,1888.98486,1754.98169,1811.98315,1838.98364,1797.98267,1869.98438,1745.98145,1769.98218,1831.9834,1833.98364,1944.98608,1847.98389,1841.98364,1846.98389,1818.98315,1863.98438,1954.98633,1976.98682,1906.98535,1865.98438,1961.98657,2035.98828,2003.98755,2053.98877,1950.98633,1969.98682,1935.98584,2118.99023,2070.989,2067.989,2061.98877,2034.98828,1975.98682,2082.98926,2118.99023,2195.992,2079.98926,2169.99146,2270.99365,2123.99023,2203.99219,2140.99072,2148.991,2177.99146,2218.99243,2212.99243,2102.98975,2232.993,2284.994,2228.99268,2222.99268,2195.992,2251.99316,2291.99414,2260.99341,2344.99536,2277.994,2256.99341,2306.99463,2357.99561,2299.99438,2353.99561,2316.99487,2297.99438,2303.99438,2303.99438,2287.99414,2407.99683,2284.994,2352.99561,2330.995,2484.99854,2385.99634,2395.99658,2421.99731,2380.99634,2426.99731,2517.99951,2441.99756,2410.99683,2526.99951,2531.99976,2472.99829,2449.9978,2462.998,2529.99976,2443.9978,2454.998,2407.99683,2598.00122,2528.99976,2553.00024,2509.99927,2577.00073,2550.00024,2485.99878,2540.0,2633.0022,2540.0,2636.0022,2623.002,2518.99951,2644.00244,2604.00146,2601.00146,2593.00122,2672.003,2610.00146,2598.00122,2744.00464,2624.002,2607.00146,2650.00244,2657.00269,2640.0022,2607.00146,2660.00269,2653.00244,2733.00439,2684.00317,2655.00269,2558.00024,2755.005,2780.00562,2734.00439,2846.007,2710.004,2815.00635,2761.00513,2766.00513,2705.00366,2705.00366,2738.00464,2622.002,2634.0022,2888.008,2799.00586,2644.00244,2782.00562,2761.00513,2780.00562,2749.005,2671.003,2824.00659,2836.00684,2835.00684,2610.00146,2689.00342,2829.00659,2628.002,2705.00366,2756.005,2711.004,2811.006,2711.004,2861.00732,2654.00269,2883.00781,2734.00439,2712.004,2877.00781,2799.00586,2728.00439,2667.003,2737.00439,2715.004,2814.00635,2721.00415,2743.00464,2687.00342,2728.00439,2832.00659,2718.00415,2861.00732,2778.00537,2627.002,2742.00464,2823.00659,2681.00317,2729.00439,2682.00317,2651.00244,2704.00366,2608.00146,2675.00317,2722.00415,2729.00439,2635.0022,2477.99854,2691.00342,2692.00342,2656.00269,2541.0,2639.0022,2460.998,2654.00269,2407.99683,2576.00073,2397.99658,2471.99829,2483.99854,2354.99561,2357.99561,2534.99976,2370.996,2371.996,2402.99683,2460.998,2410.99683,2316.99487,2435.99756,2294.99414,2441.99756,2467.99829,2271.99365,2341.99536,2391.99658,2427.99731,2368.99585,2402.99683,2435.99756,2455.998,2525.99951,2449.9978,2368.99585,2471.99829,2540.0,2492.99878,2469.99829,2594.00122,2587.001,2654.00269,2667.003,2544.0,2664.00269,2658.00269,2664.00269,2699.00366,2783.00562,2675.00317,2753.005,2771.00537,2754.005,2784.00562,2711.004,2843.00684,2845.007,2782.00562,2877.00781,2843.00684,2889.008,2893.008,2885.00781,2962.00977,2906.0083,2876.00781,2904.0083,2958.00952,2900.0083,2853.007,2940.00928,2986.01025,2985.01025,2730.00439,2962.00977,2849.007,2797.00586,2853.007,2845.007,2880.00781,2987.01025,2943.00928,2785.00562,2793.00586,2903.0083,2801.006,2914.00854,2815.00635,2892.008,2858.00732,2707.004,2724.00415,2773.00537,2626.002,2738.00464,2672.003,2661.00269,2674.003,2691.00342,2642.0022,2652.00244,2580.001,2550.00024,2529.99976,2508.99927,2481.99854,2612.00171,2493.99878,2488.99878,2439.99756,2405.99683,2487.99878,2335.995,2328.995,2432.99756,2293.99414,2330.995,2417.997,2345.99536,2242.99316,2322.99487,2231.99268,2246.99316,2238.993,2216.99243,2075.98926,2115.99,2036.98828,2113.99,2141.99072,2110.99,2151.991,2173.99146,1976.98682,1974.98682,2063.989,2052.98853,2011.98779,1828.9834,1936.98584,1927.98584,1919.9856,1847.98389,1951.98633,1832.98364,1824.9834,1766.98193,1747.98145,1837.98364,1765.98193,1729.9812,1697.98047,1694.98022,1688.98022,1690.98022,1675.98,1677.98,1449.97461,1603.97827,1559.97729,1568.97729,1511.97607,1380.97314,1475.97534,1428.97412,1452.97461,1459.97485,1454.97485,1445.97461,1346.97217,1321.97168,1405.97363,1263.97046,1324.97168,1347.97241,1311.97144,1308.97144,1305.97144,1245.97,1240.96973,1160.968,1204.969,1191.96875,1128.96729,1096.96655,1093.96631,1058.96558,1040.96509,1076.96606,1076.96606,1045.96533,1101.96655,1030.96484,896.9627,1018.96466,897.962646,1011.96472,1065.96582,962.963745,874.962341,828.961365,791.9609,809.961,844.9618,746.9599,846.961731,753.9601,762.960266,752.9601,748.960144,745.9599,643.9583,722.959534,720.959534,728.9598,642.9583,678.9588,646.958252,619.9577,601.9576,582.957153,620.9577,580.9572,497.9557,424.9544,480.955322,489.9555,530.956238,562.9568,482.955322,452.955017,485.955566,462.954956,376.9535,442.954834,377.9535,342.952942,347.9532,315.9524,348.9532,323.952576,291.952026,260.951477,306.952454,296.952271,264.951721,262.951477,178.94989,170.949936,233.951126,232.951126,222.950928,156.9495,212.950729,158.949738,187.950089,121.948906,86.94832,140.9493,105.948769,123.948906,89.94833,115.948715,31.9474335,85.94838,96.94857,53.9478149,40.94738,27.94719,9.946807,14.9469976,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0]