[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,90.72812,106.728554,191.730118,290.7318,350.7329,405.733826,551.7364,543.7362,690.7388,689.7388,796.7406,885.7423,919.7428,1197.74854,1201.74878,1312.75122,1288.75073,1507.75586,1506.75586,1653.75928,1835.76343,1938.76587,2040.76807,1981.76685,2236.77271,2385.77612,2431.777,2585.78076,2740.78442,2718.784,2707.78369,2990.79028,3221.79443,3329.79175,3395.79028,3493.788,3607.7854,3715.783,3838.78,3882.779,4107.77344,3965.777,4298.76465,4196.76953,4423.759,4609.75049,4471.757,4619.75,4758.74365,4763.743,4748.744,5015.73145,4885.738,5054.72949,5066.729,5105.72754,5138.72559,5096.72754,5301.71826,5186.72363,5196.723,5205.72266,5351.716,5303.71826,5330.717,5431.7124,5336.717,5486.70947,5436.712,5375.715,5527.708,5409.71338,5374.715,5465.71045,5339.71631,5443.712,5403.71338,5319.71729,5503.709,5349.716,5376.715,5176.724,5394.714,5217.722,5241.721,5304.71826,5119.72656,5301.71826,5287.71875,5313.718,5046.73,5004.732,5107.727,5079.72852,5057.72949,5145.72559,4969.734,5049.73,4996.73242,4997.73242,4889.7373,4796.7417,4882.738,4756.74365,4772.74268,4668.74756,4662.748,4583.75146,4549.753,4629.74951,4679.747,4532.754,4545.75342,4473.757,4537.754,4389.76074,4401.76,4315.764,4386.76074,4186.77,4334.763,4115.77344,4143.772,4260.7666,4107.77344,4025.77563,4065.77466,4035.77539,4031.77563,4074.77466,3968.777,3906.77832,3865.7793,3920.778,3800.781,3850.77979,3767.78174,3788.78125,3863.77954,3533.787,3606.7854,3615.78516,3593.78564,3672.784,3657.78418,3630.785,3536.787,3653.78467,3516.7876,3541.78687,3534.787,3499.78784,3413.78979,3444.789,3510.7876,3472.78857,3320.792,3385.79053,3417.78979,3263.79346,3388.79053,3368.791,3358.79126,3309.79224,3298.79248,3161.79419,3206.79468,3124.79321,3061.79175,3194.795,3212.79443,3065.792,3139.7937,3011.79077,3052.7915,3027.791,3155.794,3025.791,3023.791,2932.78882,2987.79,2877.7876,2947.789,2772.78516,2817.78613,2741.78442,2750.78467,2684.783,2746.78442,2645.78223,2757.78467,2679.783,2632.782,2526.7793,2587.78076,2433.77734,2484.77832,2394.77637,2412.77686,2356.77539,2465.778,2237.77271,2288.774,2177.77124,2114.76978,2165.771,1999.76709,2168.771,2033.76807,2032.76807,2104.76953,1977.7666,1995.76709,1920.76538,1955.76611,1828.76318,1732.761,1765.76172,1833.76343,1789.76221,1757.76147,1863.76392,1582.75757,1618.7583,1644.759,1478.75513,1484.75513,1409.75342,1497.75562,1460.75464,1479.75513,1401.75342,1312.75122,1296.751,1264.75024,1308.75122,1256.75,1326.75146,1245.74976,1241.74951,1159.7478,1196.74854,1066.74561,1080.74585,1045.74512,941.743164,924.7428,932.743,940.743164,807.7408,947.743164,810.7408,751.739868,727.739563,753.739868,732.7395,740.7397,603.7373,639.737854,680.7386,491.7353,563.7366,480.7351,543.7362,423.734253,383.733459,457.734741,494.7353,393.733643,324.732361,401.7339,265.7315,221.730713,241.730865,243.73111,174.729675,141.72908,164.729477,153.729279,115.7285,101.72831,90.72812,0.0,31.7269745,0.0,9.726592,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,8.726592,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,33.72721,12.7268286,65.72778,0.0,21.7270279,0.0,75.7279739,0.7266448,0.0,89.72812,93.72812,0.0,104.72831,17.7267838,105.728554,129.728882,118.728676,148.729324,94.72812,148.729324,175.729675,156.729279,55.72753,169.729721,101.72831,203.73027,175.729675,155.729279,121.728691,218.730469,179.729919,252.731064,254.731308,207.73027,201.730316,191.730118,176.729675,161.729477,267.731445,267.731445,190.730118,185.729874,242.73111,218.730469,244.73111,207.73027,248.731064,211.730515,280.731628,253.731308,318.732361,294.7318,259.731262,333.732544,304.732,234.73085,301.732,254.731308,304.732,316.732422,349.732971,372.733276,327.7326,393.733643,413.734,277.731628,423.734253,284.731873,286.731873,415.734,386.733459,380.733521,342.732727,370.733337,492.7353,367.7331,373.733276,282.731628,416.734,371.733276,316.732422,414.734,411.73407,374.733276,364.7331,457.734741,347.732971,441.734375,397.733643,409.733826,403.733826,446.734558,455.734741,333.732544,497.735474,365.7331,394.733643,375.733276,446.734558,465.735,452.734558,419.734,409.733826,371.733276,378.733276,411.73407,480.7351,471.734924,302.732,471.734924,452.734558,383.733459,389.733459,381.733459,412.73407,410.733826,410.733826,367.7331,380.733521,444.734619,477.7351,392.733643,384.733459,388.733459,383.733459,491.7353,420.734,484.735352,411.73407,441.734375,441.734375,422.734253,426.7342,453.7348,506.735718,457.734741,487.7353,495.735535,193.730072,559.736633,531.736,455.734741,226.730667,591.7372,539.7362,305.732239,446.734558,385.733459,605.7373,599.7371,498.735474,597.7371,589.736938,671.7384,683.7386,601.737366,714.739136,598.7371,748.7399,690.7388,626.7377,680.7386,662.7382,698.738953,769.7403,754.739868,785.7404,698.738953,752.739868,784.7404,828.74115,717.7394,812.741,747.7397,822.7412,820.740967,827.74115,782.7404,801.740845,764.740051,794.7406,797.7406,857.7417,890.742249,912.7426,921.7428,891.742249,823.7412,924.7428,908.7426,833.7414,971.7437,907.7427,833.7414,964.7435,927.743042,899.742432,939.7432,1040.74487,933.743,942.743164,990.744141,962.7435,967.7435,964.7435,1065.74561,989.7439,932.743,998.7441,976.7437,1017.74445,964.7435,918.7428,995.7441,958.7436,1025.74463,985.7439,1031.74463,997.7441,1001.74432,1065.74561,1010.74426,1060.74536,1013.74445,1083.74585,1046.74512,1025.74463,1002.74432,1118.74683,1084.74609,1035.74487,1077.74585,1071.74561,1118.74683,1042.74512,1109.74658,1170.748,1092.74609,1219.749,1145.74731,1134.74707,1143.74731,1162.7478,1228.74927,1056.74536,1170.748,1217.749,1205.74878,1239.74951,1171.748,1163.7478,1170.748,1242.74976,1217.749,1119.74683,1233.74951,1307.75122,1219.749,1325.75146,1251.74976,1187.74829,1315.75122,1239.74951,1339.752,1234.74951,1319.75146,1297.751,1319.75146,1277.75049,1288.75073,1318.75146,1253.75,1397.75317,1456.75464,1417.75366,1398.75317,1323.75146,1385.75293,1310.75122,1344.752,1329.75171,1423.75391,1406.75342,1361.75244,1364.75244,1453.75464,1477.75513,1541.75659,1408.75342,1361.75244,1555.75684,1498.75562,1465.75488,1597.75781,1487.75537,1625.75854,1491.75537,1548.75684,1575.75732,1534.75635,1606.758,1482.75513,1506.75586,1568.75708,1570.75732,1681.75977,1584.75757,1578.75732,1583.75757,1555.75684,1600.758,1691.76,1713.7605,1643.759,1602.758,1698.76025,1772.762,1740.76123,1790.76245,1687.76,1706.7605,1672.75952,1855.76392,1807.7627,1804.7627,1798.76245,1771.762,1712.7605,1819.763,1855.76392,1932.76563,1816.763,1906.76514,2007.76733,1860.76392,1940.76587,1877.7644,1885.76465,1914.76514,1955.76611,1949.76611,1839.76343,1969.7666,2021.76758,1965.76636,1959.76636,1932.76563,1988.76685,2028.76782,1997.76709,2081.769,2014.76758,1993.76709,2043.76831,2094.76929,2036.76807,2090.76929,2053.76855,2034.76807,2040.76807,2040.76807,2024.76782,2144.77051,2021.76758,2089.76929,2067.7688,2221.77222,2122.77,2132.77026,2158.771,2117.77,2163.771,2254.77319,2178.77124,2147.77051,2263.77319,2268.77344,2209.772,2186.77148,2199.77173,2266.77344,2180.77148,2191.77173,2144.77051,2334.775,2265.77344,2289.774,2246.773,2313.77441,2286.774,2222.77246,2276.77368,2369.776,2276.77368,2372.776,2359.77563,2255.77319,2380.77612,2340.77515,2337.77515,2329.775,2408.77661,2346.77515,2334.775,2480.77832,2360.77563,2343.77515,2386.77612,2393.77637,2376.776,2343.77515,2396.77637,2389.77612,2469.778,2420.77686,2391.77637,2294.774,2491.77856,2516.7793,2470.778,2582.78076,2446.77759,2551.78,2497.77881,2502.77881,2441.77734,2441.77734,2474.77832,2358.77563,2370.776,2624.78174,2535.77954,2380.77612,2518.7793,2497.77881,2516.7793,2485.77856,2407.77661,2560.78027,2572.78052,2571.78052,2346.77515,2425.777,2565.78027,2364.77563,2441.77734,2492.77856,2447.77759,2547.77979,2447.77759,2597.781,2390.77637,2619.78149,2470.778,2448.77759,2613.78149,2535.77954,2464.778,2403.77661,2473.778,2451.77759,2550.78,2457.77783,2479.77832,2423.777,2464.778,2568.78027,2454.77783,2597.781,2514.779,2363.77563,2478.77832,2559.78027,2417.77686,2465.778,2418.77686,2387.77612,2440.77734,2344.77515,2411.77686,2458.77783,2465.778,2371.776,2214.77222,2427.777,2428.777,2392.77637,2277.77368,2375.776,2197.77173,2390.77637,2144.77051,2312.77441,2134.77026,2208.772,2220.77222,2091.76929,2094.76929,2271.77344,2107.76978,2108.76978,2139.77051,2197.77173,2147.77051,2053.76855,2172.77124,2031.76782,2178.77124,2204.772,2008.76733,2078.769,2128.77026,2164.771,2105.76953,2139.77051,2172.77124,2192.77173,2262.77319,2186.77148,2105.76953,2208.772,2276.77368,2229.77246,2206.772,2330.775,2323.77466,2390.77637,2403.77661,2280.77368,2400.77637,2394.77637,2400.77637,2435.77734,2519.7793,2411.77686,2489.77856,2507.779,2490.77856,2520.7793,2447.77759,2579.78052,2581.78076,2518.7793,2613.78149,2579.78052,2625.78174,2629.78174,2621.78149,2698.78345,2642.782,2612.78149,2640.782,2694.7832,2636.782,2589.78076,2676.783,2722.784,2721.784,2466.778,2698.78345,2585.78076,2533.77954,2589.78076,2581.78076,2616.78149,2723.784,2679.783,2521.7793,2529.77954,2639.782,2537.77979,2650.78223,2551.78,2628.78174,2594.781,2443.77759,2460.77783,2509.779,2362.77563,2474.77832,2408.77661,2397.77637,2410.77661,2427.777,2378.776,2388.77612,2316.77466,2286.774,2266.77344,2245.773,2218.77222,2348.77539,2230.77246,2225.77246,2176.77124,2142.77051,2224.77246,2072.7688,2065.7688,2169.77124,2030.76782,2067.7688,2154.77075,2082.769,1979.76685,2059.76855,1968.76636,1983.76685,1975.7666,1953.76611,1812.763,1852.76367,1773.762,1850.76367,1878.7644,1847.76367,1888.76465,1910.76514,1713.7605,1711.7605,1800.7627,1789.76221,1748.76147,1565.75708,1673.75952,1664.75952,1656.75928,1584.75757,1688.76,1569.75732,1561.75708,1503.75562,1484.75513,1574.75732,1502.75562,1466.75488,1434.75415,1431.75391,1425.75391,1427.75391,1412.75366,1414.75366,1186.74829,1340.752,1296.751,1305.751,1248.74976,1117.74683,1212.749,1165.7478,1189.74829,1196.74854,1191.74854,1182.74829,1083.74585,1058.74536,1142.74731,1000.74432,1061.74536,1084.74609,1048.74512,1045.74512,1042.74512,982.7439,977.7437,897.742432,941.743164,928.743042,865.741943,833.7414,830.74115,795.7406,777.740234,813.740967,813.740967,782.7404,838.741333,767.740051,633.7379,755.739868,634.737854,748.7399,802.740845,699.738953,611.737549,565.7366,528.7361,546.7362,581.737,483.7351,583.736938,490.7353,499.735474,489.7353,485.735352,482.7351,380.733521,459.734741,457.734741,465.735,379.733521,415.734,383.733459,356.7329,338.7328,319.732361,357.7329,317.732422,234.73085,161.729477,217.730469,226.730667,267.731445,299.732,219.730469,189.730118,222.730713,199.730072,113.7285,179.729919,114.7285,79.72793,84.72817,52.727356,85.72817,60.7275467,28.7269745,0.0,43.72741,33.72721,1.72663713,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0]