[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,14.2492437,292.254272,296.254517,407.2563,383.25592,602.2598,601.2598,748.2624,930.265442,1033.26733,1135.26953,1076.26831,1331.27417,1480.27759,1526.27856,1680.28223,1835.28589,1813.2854,1802.28516,2085.29175,2316.296,2424.29321,2490.29175,2588.28955,2702.28687,2810.28442,2933.28149,2977.28052,3202.27515,3060.27856,3393.27075,3291.27319,3518.26782,3704.26367,3566.26685,3714.26343,3853.26025,3858.26,3843.2605,4110.254,3980.25757,4149.252,4161.25146,4200.25,4233.248,4191.25,4396.24072,4281.246,4291.24561,4300.245,4446.23828,4398.24072,4425.23926,4526.235,4431.23926,4581.232,4531.23438,4470.2373,4622.23047,4504.236,4469.2373,4560.233,4434.239,4538.23438,4498.236,4414.23975,4598.23145,4444.23828,4471.2373,4271.24658,4489.23633,4312.24463,4336.24365,4399.24072,4214.249,4396.24072,4382.241,4408.24,4141.25244,4099.25439,4202.24951,4174.251,4152.252,4240.248,4064.25537,4144.25244,4091.25464,4092.25464,3984.257,3891.25928,3977.25732,3851.26025,3867.25977,3763.26221,3757.26245,3678.26416,3644.265,3724.26318,3774.262,3627.26538,3640.26514,3568.26685,3632.26538,3484.2688,3496.26831,3410.27051,3481.2688,3281.27344,3429.27,3210.27515,3238.27441,3355.27173,3202.27515,3120.277,3160.27612,3130.27686,3126.277,3169.27612,3063.27856,3001.27979,2960.28076,3015.27954,2895.28247,2945.28125,2862.2832,2883.28271,2958.281,2628.28857,2701.28687,2710.28662,2688.287,2767.2854,2752.28564,2725.28638,2631.28857,2748.28613,2611.289,2636.28833,2629.28857,2594.28931,2508.29126,2539.29053,2605.289,2567.29,2415.29346,2480.292,2512.29126,2358.295,2483.292,2463.29248,2453.29272,2404.2937,2393.294,2256.29565,2301.29614,2219.29468,2156.29321,2289.29639,2307.296,2160.29346,2234.29517,2106.29224,2147.293,2122.29248,2250.29541,2120.29248,2118.29248,2027.29028,2082.2915,1972.28906,2042.29053,1867.28662,1912.2876,1836.28589,1845.28613,1779.28442,1841.28589,1740.28369,1852.28613,1774.28442,1727.28345,1621.28076,1682.28223,1528.27881,1579.27979,1489.27783,1507.27832,1451.27686,1560.27954,1332.27417,1383.27539,1272.27271,1209.27124,1260.27246,1094.26855,1263.27246,1128.26953,1127.26953,1199.271,1072.26807,1090.26855,1015.26691,1050.26758,923.265259,827.2636,860.26416,928.2655,884.2645,852.264,958.2658,677.261047,713.2616,739.2622,573.2592,579.2592,504.257935,592.259644,555.25885,574.2592,496.258,407.2563,391.256165,359.2556,403.2563,351.255371,421.25647,340.2552,336.255,254.253769,291.254272,161.251938,175.252136,140.251541,36.2496262,19.2492447,27.2494354,35.2496262,0.0,42.2496262,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,7.24905348,16.2492447,0.0,0.0,19.2492447,3.249037,0.0,66.25018,2.249098,0.0,59.2500076,22.2494888,0.0,34.2496719,135.251343,28.2494354,37.2496262,85.25063,57.2500076,62.2500076,59.2500076,160.251984,84.25039,27.2494354,93.25058,71.2502,112.250961,59.2500076,13.2492285,90.25058,53.25006,120.251152,80.25039,126.251152,92.25058,96.250824,160.251984,105.250771,155.25174,108.250946,178.252136,141.251541,120.251152,97.25082,213.252975,179.25238,130.251343,172.252136,166.251938,213.252975,137.251587,204.252731,265.253967,187.252335,314.254639,240.253326,229.253128,238.253326,257.253723,323.254822,151.25174,265.253967,312.254639,300.254456,334.255,266.2539,258.253723,265.253967,337.255249,312.254639,214.25293,328.255066,402.256348,314.254639,420.25647,346.2552,282.2541,410.2563,334.255,434.2569,329.255,414.25647,392.256165,414.25647,372.255737,383.25592,413.256531,348.255432,492.257751,551.25885,512.2581,493.257751,418.25647,480.257568,405.2563,439.256836,424.256653,518.258362,501.257935,456.2572,459.2572,548.2589,572.2592,636.2603,503.257935,456.2572,650.2605,593.2596,560.2591,692.2612,582.2594,720.2618,586.2594,643.260559,670.260864,629.260132,701.2614,577.2592,601.2598,663.2607,665.2609,776.2627,679.261047,673.260864,678.261047,650.2605,695.2615,786.2629,808.263245,738.2622,697.2615,793.263062,867.264343,835.2638,885.2648,782.2629,801.2633,767.2625,950.265869,902.2649,899.2649,893.2647,866.264343,807.263245,914.2651,950.265869,1027.26709,911.2651,1001.26678,1102.2688,955.2658,1035.26733,972.2662,980.2664,1009.26672,1050.26758,1044.26758,934.265442,1064.26807,1116.269,1060.26782,1054.26782,1027.26709,1083.26831,1123.26929,1092.26855,1176.27051,1109.269,1088.26855,1138.26978,1189.27075,1131.26953,1185.27075,1148.27,1129.26953,1135.26953,1135.26953,1119.26929,1239.272,1116.269,1184.27075,1162.27026,1316.27368,1217.27148,1227.27173,1253.27246,1212.27148,1258.27246,1349.27466,1273.27271,1242.272,1358.27466,1363.2749,1304.27344,1281.273,1294.27319,1361.2749,1275.273,1286.27319,1239.272,1429.27637,1360.2749,1384.27539,1341.27441,1408.27588,1381.27539,1317.27393,1371.27515,1464.27734,1371.27515,1467.27734,1454.2771,1350.27466,1475.27759,1435.27661,1432.27661,1424.27637,1503.27808,1441.27661,1429.27637,1575.27979,1455.2771,1438.27661,1481.27759,1488.27783,1471.27734,1438.27661,1491.27783,1484.27759,1564.27954,1515.27832,1486.27783,1389.27539,1586.28,1611.28076,1565.27954,1677.28223,1541.279,1646.28149,1592.28027,1597.28027,1536.27881,1536.27881,1569.27979,1453.2771,1465.27734,1719.2832,1630.281,1475.27759,1613.28076,1592.28027,1611.28076,1580.28,1502.27808,1655.28174,1667.282,1666.282,1441.27661,1520.27856,1660.28174,1459.2771,1536.27881,1587.28,1542.279,1642.28125,1542.279,1692.28247,1485.27783,1714.283,1565.27954,1543.279,1708.283,1630.281,1559.27954,1498.27808,1568.27954,1546.279,1645.28149,1552.2793,1574.27979,1518.27856,1559.27954,1663.28174,1549.2793,1692.28247,1609.28052,1458.2771,1573.27979,1654.28174,1512.27832,1560.27954,1513.27832,1482.27759,1535.27881,1439.27661,1506.27832,1553.2793,1560.27954,1466.27734,1309.27368,1522.27856,1523.27856,1487.27783,1372.27515,1470.27734,1292.27319,1485.27783,1239.272,1407.27588,1229.27173,1303.27344,1315.27368,1186.27075,1189.27075,1366.2749,1202.27124,1203.27124,1234.272,1292.27319,1242.272,1148.27,1267.27271,1126.26929,1273.27271,1299.27344,1103.2688,1173.27051,1223.27173,1259.27246,1200.271,1234.272,1267.27271,1287.27319,1357.27466,1281.273,1200.271,1303.27344,1371.27515,1324.27393,1301.27344,1425.27637,1418.27612,1485.27783,1498.27808,1375.27515,1495.27783,1489.27783,1495.27783,1530.27881,1614.28076,1506.27832,1584.28,1602.28052,1585.28,1615.28076,1542.279,1674.282,1676.28223,1613.28076,1708.283,1674.282,1720.2832,1724.2832,1716.283,1793.28491,1737.28345,1707.283,1735.28345,1789.28467,1731.28345,1684.28223,1771.28442,1817.2854,1816.2854,1561.27954,1793.28491,1680.28223,1628.281,1684.28223,1676.28223,1711.283,1818.2854,1774.28442,1616.28076,1624.281,1734.28345,1632.28125,1745.28369,1646.28149,1723.2832,1689.28247,1538.279,1555.2793,1604.28052,1457.2771,1569.27979,1503.27808,1492.27783,1505.27808,1522.27856,1473.27734,1483.27759,1411.27612,1381.27539,1361.2749,1340.27441,1313.27368,1443.27686,1325.27393,1320.27393,1271.27271,1237.272,1319.27393,1167.27026,1160.27026,1264.27271,1125.26929,1162.27026,1249.27222,1177.27051,1074.26831,1154.27,1063.26782,1078.26831,1070.26807,1048.26758,907.265137,947.2656,868.264343,945.2656,973.2662,942.2656,983.266357,1005.26672,808.263245,806.263245,895.264954,884.2645,843.264038,660.2607,768.2625,759.2626,751.2623,679.261047,783.2629,664.2609,656.2607,598.2596,579.2592,669.260864,597.2596,561.259033,529.2585,526.2583,520.2583,522.2583,507.258179,509.258118,281.2541,435.256836,391.256165,400.2561,343.2552,212.252975,307.2547,260.253723,284.2541,291.254272,286.254333,277.2541,178.252136,153.25174,237.253326,95.250824,156.25174,179.25238,143.251541,140.251541,137.251587,77.25039,72.2502,0.0,36.2496262,23.2494812,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0]