[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,250.13829,254.138535,365.14032,341.139954,560.14386,559.14386,706.1464,888.1495,991.151367,1093.15332,1034.1521,1289.158,1438.16138,1484.16235,1638.166,1793.16968,1771.16919,1760.169,2043.17554,2274.17969,2382.177,2448.17554,2546.17334,2660.17065,2768.16821,2891.16528,2935.16431,3160.159,3018.16235,3351.15454,3249.157,3476.15161,3662.14746,3524.15063,3672.14722,3811.144,3816.1438,3801.14429,4068.138,3938.14136,4107.13672,4119.136,4158.135,4191.133,4149.135,4354.12549,4239.131,4249.13037,4258.13,4404.123,4356.12549,4383.124,4484.11963,4389.124,4539.1167,4489.119,4428.122,4580.115,4462.12061,4427.122,4518.11768,4392.12354,4496.119,4456.12061,4372.12451,4556.116,4402.123,4429.122,4229.13135,4447.121,4270.12939,4294.12842,4357.12549,4172.134,4354.12549,4340.126,4366.125,4099.137,4057.13818,4160.13428,4132.13574,4110.13672,4198.133,4022.13916,4102.137,4049.13843,4050.13843,3942.14087,3849.143,3935.141,3809.144,3825.14355,3721.146,3715.14624,3636.148,3602.14868,3682.147,3732.14575,3585.14917,3598.149,3526.15063,3590.14917,3442.15259,3454.152,3368.1543,3439.15259,3239.15723,3387.15381,3168.159,3196.1582,3313.15552,3160.159,3078.161,3118.16,3088.16064,3084.161,3127.16,3021.16235,2959.16357,2918.16455,2973.16333,2853.16626,2903.165,2820.167,2841.1665,2916.16479,2586.17236,2659.17065,2668.17041,2646.171,2725.16919,2710.16943,2683.17017,2589.17236,2706.17,2569.17285,2594.172,2587.17236,2552.173,2466.175,2497.17432,2563.17285,2525.17383,2373.17725,2438.17578,2470.175,2316.17871,2441.17578,2421.17627,2411.17651,2362.17749,2351.17773,2214.17944,2259.18,2177.17847,2114.177,2247.18018,2265.17969,2118.17725,2192.179,2064.176,2105.17676,2080.17627,2208.1792,2078.17627,2076.17627,1985.17407,2040.17529,1930.17285,2000.17432,1825.17041,1870.17139,1794.16968,1803.16992,1737.16821,1799.16968,1698.16748,1810.16992,1732.16821,1685.16724,1579.16455,1640.166,1486.1626,1537.16357,1447.16162,1465.16211,1409.16064,1518.16333,1290.158,1341.15918,1230.15649,1167.155,1218.15625,1052.15234,1221.15625,1086.15332,1085.15332,1157.15479,1030.15186,1048.15234,973.15094,1008.15149,881.1493,785.147644,818.1482,886.149536,842.14856,810.148,916.149841,635.1451,671.1456,697.14624,531.14325,537.14325,462.141968,550.1437,513.1429,532.14325,454.142029,365.14032,349.1402,317.139648,361.14032,309.1394,379.1405,298.139221,294.139038,212.137741,249.13829,119.135918,133.136108,98.13554,0.0,0.0,0.0,0.0,0.0,0.133627221,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,24.1341858,0.0,0.0,17.13401,0.0,0.0,0.0,93.1353455,0.0,0.0,43.1346359,15.1340094,20.13401,17.13401,118.135963,42.13439,0.0,51.1345825,29.134201,70.134964,17.13401,0.0,48.1345825,11.1340628,78.1351547,38.13439,84.1351547,50.1345825,54.1348267,118.135963,63.1347733,113.135727,66.13495,136.136108,99.13554,78.1351547,55.13482,171.136948,137.136353,88.1353455,130.136108,124.135918,171.136948,95.13559,162.1367,223.137939,145.1363,272.138672,198.1373,187.1371,196.1373,215.1377,281.138855,109.135727,223.137939,270.138672,258.1385,292.139038,224.137878,216.1377,223.137939,295.139282,270.138672,172.1369,286.1391,360.140381,272.138672,378.1405,304.139221,240.138092,368.14032,292.139038,392.14093,287.139038,372.1405,350.1402,372.1405,330.139771,341.139954,371.140564,306.139465,450.141785,509.142883,470.142151,451.141785,376.1405,438.1416,363.14032,397.140869,382.1407,476.1424,459.141968,414.141235,417.141235,506.142944,530.14325,594.144348,461.141968,414.141235,608.144531,551.1436,518.1431,650.145264,540.143433,678.1458,544.143433,601.1446,628.1449,587.144165,659.145447,535.14325,559.14386,621.1447,623.144958,734.1467,637.1451,631.1449,636.1451,608.144531,653.1455,744.1469,766.1473,696.14624,655.1455,751.1471,825.1484,793.1478,843.1488,740.1469,759.147339,725.146545,908.1499,860.1489,857.1489,851.148743,824.1484,765.1473,872.1491,908.1499,985.1511,869.1491,959.1508,1060.15259,913.149841,993.1513,930.1502,938.150452,967.150757,1008.15149,1002.15155,892.1495,1022.15192,1074.15283,1018.15167,1012.15173,985.1511,1041.1521,1081.15308,1050.15234,1134.1543,1067.15283,1046.15234,1096.15356,1147.15454,1089.15332,1143.15454,1106.15381,1087.15332,1093.15332,1093.15332,1077.15308,1197.15576,1074.15283,1142.15454,1120.154,1274.15747,1175.15527,1185.15552,1211.15625,1170.15527,1216.15625,1307.15845,1231.15649,1200.15576,1316.15845,1321.15869,1262.15723,1239.15674,1252.157,1319.15869,1233.15674,1244.157,1197.15576,1387.16016,1318.15869,1342.15918,1299.1582,1366.15967,1339.15918,1275.15771,1329.15894,1422.16113,1329.15894,1425.16113,1412.16089,1308.15845,1433.16138,1393.1604,1390.1604,1382.16016,1461.16187,1399.1604,1387.16016,1533.16357,1413.16089,1396.1604,1439.16138,1446.16162,1429.16113,1396.1604,1449.16162,1442.16138,1522.16333,1473.16211,1444.16162,1347.15918,1544.16382,1569.16455,1523.16333,1635.166,1499.16284,1604.16528,1550.16406,1555.16406,1494.1626,1494.1626,1527.16357,1411.16089,1423.16113,1677.167,1588.16479,1433.16138,1571.16455,1550.16406,1569.16455,1538.16382,1460.16187,1613.16553,1625.16577,1624.16577,1399.1604,1478.16235,1618.16553,1417.16089,1494.1626,1545.16382,1500.16284,1600.165,1500.16284,1650.16626,1443.16162,1672.16675,1523.16333,1501.16284,1666.16675,1588.16479,1517.16333,1456.16187,1526.16333,1504.16284,1603.16528,1510.16309,1532.16357,1476.16235,1517.16333,1621.16553,1507.16309,1650.16626,1567.16431,1416.16089,1531.16357,1612.16553,1470.16211,1518.16333,1471.16211,1440.16138,1493.1626,1397.1604,1464.16211,1511.16309,1518.16333,1424.16113,1267.15747,1480.16235,1481.16235,1445.16162,1330.15894,1428.16113,1250.157,1443.16162,1197.15576,1365.15967,1187.15552,1261.15723,1273.15747,1144.15454,1147.15454,1324.15869,1160.155,1161.155,1192.15576,1250.157,1200.15576,1106.15381,1225.15649,1084.15308,1231.15649,1257.15723,1061.15259,1131.1543,1181.15552,1217.15625,1158.15479,1192.15576,1225.15649,1245.157,1315.15845,1239.15674,1158.15479,1261.15723,1329.15894,1282.15771,1259.15723,1383.16016,1376.15991,1443.16162,1456.16187,1333.15894,1453.16162,1447.16162,1453.16162,1488.1626,1572.16455,1464.16211,1542.16382,1560.16431,1543.16382,1573.16455,1500.16284,1632.16577,1634.166,1571.16455,1666.16675,1632.16577,1678.167,1682.167,1674.16675,1751.1687,1695.16724,1665.16675,1693.16724,1747.16846,1689.16724,1642.166,1729.16821,1775.16919,1774.16919,1519.16333,1751.1687,1638.166,1586.16479,1642.166,1634.166,1669.16675,1776.16919,1732.16821,1574.16455,1582.16479,1692.16724,1590.165,1703.16748,1604.16528,1681.167,1647.16626,1496.16284,1513.16309,1562.16431,1415.16089,1527.16357,1461.16187,1450.16162,1463.16187,1480.16235,1431.16113,1441.16138,1369.15991,1339.15918,1319.15869,1298.1582,1271.15747,1401.16064,1283.15771,1278.15771,1229.15649,1195.15576,1277.15771,1125.154,1118.154,1222.15649,1083.15308,1120.154,1207.156,1135.1543,1032.1521,1112.15381,1021.15167,1036.1521,1028.15186,1006.15149,865.1492,905.149658,826.1484,903.149658,931.1502,900.149658,941.1504,963.150757,766.1473,764.1473,853.149,842.14856,801.1481,618.1447,726.146545,717.1466,709.146362,637.1451,741.1469,622.144958,614.1447,556.1436,537.14325,627.1449,555.1436,519.143066,487.142517,484.142334,478.142334,480.142334,465.1422,467.142151,239.138092,393.140869,349.1402,358.140137,301.139221,170.136948,265.138733,218.1377,242.138092,249.13829,244.138336,235.138092,136.136108,111.135727,195.1373,53.1348267,114.135727,137.136353,101.135536,98.13554,95.13559,35.13439,30.134201,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0]