[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,50.08722,54.0874634,165.08934,141.088943,360.093018,359.093018,506.095581,688.098633,791.1005,893.1021,834.101257,1089.106,1238.10938,1284.11035,1438.114,1593.11768,1571.11719,1560.117,1843.12354,2074.12769,2182.125,2248.12354,2346.12134,2460.11865,2568.11621,2691.11328,2735.1123,2960.107,2818.11035,3151.10254,3049.105,3276.09961,3462.09546,3324.09863,3472.09521,3611.092,3616.0918,3601.09229,3868.086,3738.08936,3907.085,3919.08472,3958.084,3991.083,3949.084,4154.078,4039.082,4049.08179,4058.08154,4204.07568,4156.078,4183.07666,4284.07227,4189.07666,4339.06934,4289.072,4228.07471,4380.068,4262.073,4227.07471,4318.07031,4192.076,4296.072,4256.073,4172.077,4356.069,4202.07568,4229.07471,4029.08228,4247.07373,4070.0813,4094.08081,4157.078,3972.0835,4154.078,4140.07861,4166.07764,3899.08521,3857.08618,3960.08374,3932.08447,3910.085,3998.083,3822.08716,3902.08521,3849.08643,3850.08643,3742.08887,3649.091,3735.089,3609.092,3625.09155,3521.094,3515.09424,3436.096,3402.09668,3482.095,3532.09375,3385.09717,3398.097,3326.09863,3390.09717,3242.10059,3254.1,3168.10229,3239.10059,3039.10522,3187.10181,2968.107,2996.1062,3113.10352,2960.107,2878.109,2918.108,2888.10864,2884.109,2927.108,2821.11035,2759.11157,2718.11255,2773.11133,2653.11426,2703.113,2620.115,2641.1145,2716.11279,2386.12036,2459.11865,2468.11841,2446.119,2525.11719,2510.11743,2483.11816,2389.12036,2506.118,2369.12085,2394.12,2387.12036,2352.121,2266.123,2297.12231,2363.12085,2325.12183,2173.12524,2238.12378,2270.123,2116.12671,2241.12378,2221.12427,2211.12451,2162.12549,2151.12573,2014.12744,2059.128,1977.12646,1914.125,2047.12817,2065.12769,1918.12524,1992.127,1864.124,1905.12476,1880.12427,2008.1272,1878.12427,1876.12427,1785.12207,1840.12329,1730.12085,1800.12231,1625.11841,1670.11938,1594.11768,1603.11792,1537.11621,1599.11768,1498.11548,1610.11792,1532.11621,1485.11523,1379.11255,1440.114,1286.1106,1337.11157,1247.10962,1265.11011,1209.10864,1318.11133,1090.106,1141.10718,1030.10449,967.1034,1018.10431,852.1014,1021.10431,886.1022,885.1022,957.1032,830.101,848.1014,773.1001,808.100647,681.09845,585.0968,618.097351,686.0987,642.0977,610.097168,716.099,435.094238,471.0948,497.0954,331.0924,337.0924,262.091125,350.092834,313.092041,332.0924,254.091171,165.08934,149.089188,117.088608,161.089325,109.088364,179.089539,98.08817,94.08798,12.0866995,49.08722,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,23.0868835,0.0,72.0876,0.0,0.0,0.0,15.0866461,81.08779,0.0,23.0868835,70.0876,58.08741,92.08798,24.0868225,16.086647,23.0868835,95.08823,70.0876,0.0,86.08803,160.089386,72.0876,178.089539,104.088173,40.08703,168.08934,92.08798,192.089981,87.08797,172.089539,150.089188,172.089539,130.088745,141.088943,171.089584,106.088417,250.090927,309.092041,270.0913,251.090927,176.089539,238.090729,163.08934,197.089935,182.089722,276.091553,259.091125,214.090332,217.090332,306.0921,330.0924,394.0935,261.091125,214.090332,408.0937,351.092773,318.0923,450.094421,340.0926,478.094971,344.0926,401.09375,428.094055,387.093323,459.0946,335.0924,359.093018,421.093872,423.094116,534.0959,437.094238,431.094055,436.094238,408.0937,453.094666,544.096069,566.096436,496.0954,455.094666,551.096252,625.097534,593.097,643.097961,540.096069,559.0965,525.0957,708.09906,660.0981,657.0981,651.0979,624.097534,565.096436,672.098267,708.09906,785.1003,669.098267,759.1,860.101563,713.099,793.100464,730.099365,738.0996,767.0999,808.100647,802.1007,692.098633,822.1011,874.101746,818.1008,812.1009,785.1003,841.1012,881.1019,850.1014,934.102844,867.101746,846.1014,896.102356,947.103,889.1021,943.103,906.102539,887.1022,893.1021,893.1021,877.1019,997.103943,874.101746,942.103,920.102661,1074.10547,975.1036,985.10376,1011.10437,970.103638,1016.10431,1107.10645,1031.10449,1000.10394,1116.10645,1121.10669,1062.10522,1039.10474,1052.105,1119.10669,1033.10474,1044.105,997.103943,1187.10815,1118.10669,1142.10718,1099.1062,1166.10767,1139.10718,1075.10571,1129.10693,1222.10913,1129.10693,1225.10913,1212.10889,1108.10645,1233.10938,1193.1084,1190.1084,1182.10815,1261.10986,1199.1084,1187.10815,1333.11157,1213.10889,1196.1084,1239.10938,1246.10962,1229.10913,1196.1084,1249.10962,1242.10938,1322.11133,1273.11011,1244.10962,1147.10718,1344.11182,1369.11255,1323.11133,1435.114,1299.11084,1404.11328,1350.112,1355.112,1294.1106,1294.1106,1327.11157,1211.10889,1223.10913,1477.115,1388.11279,1233.10938,1371.11255,1350.112,1369.11255,1338.11182,1260.10986,1413.11353,1425.11377,1424.11377,1199.1084,1278.11035,1418.11353,1217.10889,1294.1106,1345.11182,1300.11084,1400.113,1300.11084,1450.11426,1243.10962,1472.11475,1323.11133,1301.11084,1466.11475,1388.11279,1317.11133,1256.10986,1326.11133,1304.11084,1403.11328,1310.11108,1332.11157,1276.11035,1317.11133,1421.11353,1307.11108,1450.11426,1367.1123,1216.10889,1331.11157,1412.11353,1270.11011,1318.11133,1271.11011,1240.10938,1293.1106,1197.1084,1264.11011,1311.11108,1318.11133,1224.10913,1067.10547,1280.11035,1281.11035,1245.10962,1130.10693,1228.10913,1050.105,1243.10962,997.103943,1165.10767,987.10376,1061.10522,1073.10547,944.103,947.103,1124.10669,960.103455,961.1034,992.104,1050.105,1000.10394,906.102539,1025.10449,884.1019,1031.10449,1057.10522,861.101563,931.102844,981.1038,1017.10431,958.1032,992.104,1025.10449,1045.105,1115.10645,1039.10474,958.1032,1061.10522,1129.10693,1082.10571,1059.10522,1183.10815,1176.10791,1243.10962,1256.10986,1133.10693,1253.10962,1247.10962,1253.10962,1288.1106,1372.11255,1264.11011,1342.11182,1360.1123,1343.11182,1373.11255,1300.11084,1432.11377,1434.114,1371.11255,1466.11475,1432.11377,1478.115,1482.115,1474.11475,1551.1167,1495.11523,1465.11475,1493.11523,1547.11646,1489.11523,1442.114,1529.11621,1575.11719,1574.11719,1319.11133,1551.1167,1438.114,1386.11279,1442.114,1434.114,1469.11475,1576.11719,1532.11621,1374.11255,1382.11279,1492.11523,1390.113,1503.11548,1404.11328,1481.115,1447.11426,1296.11084,1313.11108,1362.1123,1215.10889,1327.11157,1261.10986,1250.10962,1263.10986,1280.11035,1231.10913,1241.10938,1169.10791,1139.10718,1119.10669,1098.1062,1071.10547,1201.10864,1083.10571,1078.10571,1029.10449,995.103943,1077.10571,925.102661,918.1027,1022.10455,883.1019,920.102661,1007.10413,935.102844,832.101257,912.1025,821.1008,836.1012,828.101,806.100647,665.0983,705.0988,626.097534,703.0988,731.099365,700.0988,741.099548,763.0999,566.096436,564.096436,653.098145,642.0977,601.0972,418.093872,526.0957,517.095764,509.09552,437.094238,541.096069,422.094116,414.093872,356.092773,337.0924,427.094055,355.092773,319.092224,287.091675,284.0915,278.0915,280.0915,265.09137,267.0913,39.08703,193.089935,149.089188,158.089142,101.088173,0.0,65.08765,18.086647,42.08703,49.08722,44.087265,35.08703,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0]