[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,149.513016,148.513016,295.515747,477.5188,580.5207,682.5223,623.5214,878.525757,1027.52832,1073.5293,1227.533,1382.53662,1360.53613,1349.53589,1632.54248,1863.54663,1971.544,2037.54248,2135.54028,2249.5376,2357.53516,2480.53223,2524.53125,2749.526,2607.5293,2940.52148,2838.524,3065.51855,3251.5144,3113.51758,3261.51416,3400.511,3405.51074,3390.51123,3657.505,3527.5083,3696.504,3708.50366,3747.503,3780.502,3738.503,3943.49829,3828.501,3838.50073,3847.50049,3993.497,3945.49829,3972.49756,4073.49536,3978.49756,4128.493,4078.495,4017.49658,4169.4917,4051.49585,4016.49658,4107.494,3981.49731,4085.49536,4045.49585,3961.4978,4145.49268,3991.497,4018.49658,3818.50122,4036.496,3859.50024,3883.49976,3946.49829,3761.50244,3943.49829,3929.49854,3955.498,3688.50415,3646.50513,3749.50269,3721.50342,3699.504,3787.502,3611.506,3691.50415,3638.50537,3639.50537,3531.50781,3438.51,3524.508,3398.511,3414.5105,3310.513,3304.51318,3225.515,3191.51563,3271.514,3321.5127,3174.516,3187.51587,3115.51758,3179.516,3031.51953,3043.519,2957.52124,3028.51953,2828.52417,2976.52075,2757.526,2785.52515,2902.52246,2749.526,2667.52783,2707.52686,2677.52759,2673.52783,2716.52686,2610.5293,2548.53052,2507.53149,2562.53027,2442.5332,2492.532,2409.534,2430.53345,2505.53174,2175.53931,2248.5376,2257.53735,2235.53784,2314.53613,2299.53638,2272.537,2178.53931,2295.53687,2158.53979,2183.539,2176.53931,2141.54,2055.542,2086.54126,2152.53979,2114.54077,1962.54419,2027.54272,2059.542,1905.54565,2030.54272,2010.54321,2000.54346,1951.54443,1940.54468,1803.54639,1848.54688,1766.54541,1703.544,1836.54712,1854.54663,1707.54419,1781.5459,1653.543,1694.5437,1669.54321,1797.54614,1667.54321,1665.54321,1574.541,1629.54224,1519.53979,1589.54126,1414.53735,1459.53833,1383.53662,1392.53687,1326.53516,1388.53662,1287.53442,1399.53687,1321.53516,1274.53418,1168.53149,1229.533,1075.52954,1126.53052,1036.52856,1054.529,998.5278,1107.53027,879.525757,930.5267,819.524658,756.52356,807.5245,641.521545,810.5245,675.522339,674.522339,746.5234,619.5212,637.521545,562.520264,597.5208,470.518616,374.516968,407.517517,475.51886,431.517883,399.517334,505.519165,224.514359,260.514954,286.515564,120.512383,126.512383,51.5110474,139.512817,102.512,121.512383,43.5111,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,39.5108566,98.512,59.51124,40.5108566,0.0,27.5106659,0.0,0.0,0.0,65.5114746,48.5110474,3.51028275,6.510284,95.5120544,119.512383,183.513565,50.5110474,3.51028275,197.513763,140.512772,107.512238,239.514557,129.512558,267.515137,133.512573,190.513809,217.51416,176.513367,248.514755,124.512383,148.513016,210.513962,212.5142,323.516052,226.514359,220.51416,225.514359,197.513763,242.5148,333.516235,355.5166,285.515564,244.5148,340.516418,414.5177,382.517151,432.518127,329.516235,348.516663,314.515869,497.519226,449.51825,446.51825,440.518066,413.5177,354.5166,461.518433,497.519226,574.520447,458.518433,548.520142,649.5217,502.519165,582.5206,519.519531,527.5198,556.5201,597.5208,591.5209,481.5188,611.52124,663.5219,607.521,601.521057,574.520447,630.521362,670.5221,639.521545,723.523,656.5219,635.521545,685.5225,736.5232,678.5223,732.5232,695.5227,676.522339,682.5223,682.5223,666.5221,786.5241,663.5219,731.5232,709.5228,863.5254,764.523743,774.5239,800.524536,759.5238,805.5245,896.5262,820.524658,789.5241,905.5261,910.5263,851.5252,828.524841,841.525,908.5263,822.5249,833.5251,786.5241,976.5274,907.526367,931.5267,888.52594,955.527039,928.526733,864.525635,918.52655,1011.5282,918.52655,1014.52814,1001.528,897.5262,1022.52838,982.5276,979.527649,971.5274,1050.52881,988.5276,976.5274,1122.53052,1002.528,985.5276,1028.52832,1035.52856,1018.52814,985.5276,1038.52856,1031.52832,1111.53027,1062.529,1033.52856,936.5267,1133.53076,1158.53149,1112.53027,1224.533,1088.52979,1193.53223,1139.531,1144.531,1083.52954,1083.52954,1116.53052,1000.528,1012.5282,1266.53394,1177.53174,1022.52838,1160.53149,1139.531,1158.53149,1127.53076,1049.52881,1202.53247,1214.53271,1213.53271,988.5276,1067.5293,1207.53247,1006.52795,1083.52954,1134.53076,1089.52979,1189.532,1089.52979,1239.5332,1032.52856,1261.53369,1112.53027,1090.52979,1255.53369,1177.53174,1106.53027,1045.52881,1115.53027,1093.52979,1192.53223,1099.53,1121.53052,1065.5293,1106.53027,1210.53247,1096.53,1239.5332,1156.53125,1005.52795,1120.53052,1201.53247,1059.529,1107.53027,1060.529,1029.52832,1082.52954,986.5276,1053.529,1100.53,1107.53027,1013.52814,856.5254,1069.5293,1070.5293,1034.52856,919.5265,1017.52814,839.525,1032.52856,786.5241,954.527039,776.5239,850.5252,862.5254,733.5232,736.5232,913.5263,749.5236,750.52356,781.5242,839.525,789.5241,695.5227,814.524658,673.5221,820.524658,846.5252,650.5217,720.523,770.524,806.5245,747.5234,781.5242,814.524658,834.525,904.5261,828.524841,747.5234,850.5252,918.52655,871.5256,848.5252,972.5274,965.5272,1032.52856,1045.52881,922.5265,1042.52856,1036.52856,1042.52856,1077.52954,1161.53149,1053.529,1131.53076,1149.53125,1132.53076,1162.53149,1089.52979,1221.53271,1223.533,1160.53149,1255.53369,1221.53271,1267.53394,1271.53394,1263.53369,1340.53564,1284.53418,1254.53369,1282.53418,1336.5354,1278.53418,1231.533,1318.53516,1364.53613,1363.53613,1108.53027,1340.53564,1227.533,1175.53174,1231.533,1223.533,1258.53369,1365.53613,1321.53516,1163.53149,1171.53174,1281.53418,1179.532,1292.53442,1193.53223,1270.53394,1236.5332,1085.52979,1102.53,1151.53125,1004.52795,1116.53052,1050.52881,1039.52856,1052.52881,1069.5293,1020.52814,1030.52832,958.5273,928.526733,908.5263,887.52594,860.5254,990.527832,872.5256,867.5256,818.524658,784.5241,866.5256,714.5228,707.5229,811.5247,672.5221,709.5228,796.5243,724.523,621.5214,701.522644,610.521,625.521362,617.5212,595.5208,454.5185,494.518982,415.5177,492.518982,520.519531,489.518982,530.5197,552.5201,355.5166,353.5166,442.5183,431.517883,390.5174,207.513962,315.515869,306.51593,298.5157,226.514359,330.516235,211.5142,203.513962,145.512772,126.512383,216.51416,144.512772,108.512177,76.5116043,73.51143,67.51143,69.51143,54.5112839,56.51124,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0]