[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,229.080276,233.080521,344.082336,320.08197,539.0859,538.0859,685.08844,867.0915,970.0934,1072.09521,1013.09412,1268.09985,1417.10327,1463.10425,1617.10791,1772.11157,1750.11108,1739.11084,2022.11743,2253.12158,2361.119,2427.11743,2525.11523,2639.11255,2747.11,2870.10718,2914.1062,3139.10083,2997.10425,3330.09644,3228.09888,3455.09351,3641.08936,3503.09253,3651.089,3790.086,3795.08569,3780.08618,4047.07983,3917.08325,4086.07886,4098.07861,4137.077,4170.075,4128.077,4333.068,4218.073,4228.07275,4237.07227,4383.06543,4335.068,4362.06641,4463.062,4368.06641,4518.059,4468.06152,4407.06445,4559.05762,4441.063,4406.06445,4497.06,4371.066,4475.06152,4435.063,4351.067,4535.05859,4381.06543,4408.06445,4208.07373,4426.06348,4249.072,4273.071,4336.068,4151.076,4333.068,4319.06836,4345.06738,4078.079,4036.08,4139.07666,4111.078,4089.07886,4177.075,4001.081,4081.079,4028.08032,4029.08032,3921.08276,3828.085,3914.083,3788.086,3804.08545,3700.088,3694.08813,3615.08984,3581.09058,3661.08887,3711.08765,3564.091,3577.09082,3505.09253,3569.091,3421.09448,3433.094,3347.09619,3418.09448,3218.099,3366.0957,3147.10083,3175.1,3292.09741,3139.10083,3057.10278,3097.10181,3067.10254,3063.10278,3106.10181,3000.10425,2938.10547,2897.10645,2952.10522,2832.10815,2882.107,2799.109,2820.1084,2895.10669,2565.11426,2638.11255,2647.1123,2625.11279,2704.111,2689.11133,2662.112,2568.11426,2685.11182,2548.11475,2573.114,2566.11426,2531.115,2445.117,2476.11621,2542.11475,2504.11572,2352.11914,2417.11768,2449.117,2295.12061,2420.11768,2400.11816,2390.11841,2341.11938,2330.11963,2193.12134,2238.12183,2156.12036,2093.119,2226.122,2244.12158,2097.11914,2171.12085,2043.11792,2084.11865,2059.11816,2187.121,2057.11816,2055.11816,1964.116,2019.11719,1909.11475,1979.11621,1804.1123,1849.11328,1773.11157,1782.11182,1716.11011,1778.11157,1677.10938,1789.11182,1711.11011,1664.10913,1558.10645,1619.10791,1465.10449,1516.10547,1426.10352,1444.104,1388.10254,1497.10522,1269.09985,1320.10107,1209.09839,1146.09692,1197.09814,1031.09424,1200.09814,1065.09521,1064.09521,1136.09668,1009.09387,1027.09424,952.092957,987.0935,860.0913,764.089661,797.0902,865.091553,821.0906,789.09,895.091858,614.0871,650.087646,676.088257,510.085266,516.085266,441.083984,529.0857,492.0849,511.085266,433.084045,344.082336,328.0822,296.081665,340.082336,288.081421,358.08252,277.081238,273.081055,191.079727,228.080276,98.07792,112.07811,77.07754,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,3.07618546,0.0,0.0,0.0,0.0,0.0,0.0,72.07735,0.0,0.0,22.0766373,0.0,0.0,0.0,97.0779648,21.0763931,0.0,30.0765839,8.076201,49.0769653,0.0,0.0,27.0765839,0.0,57.0771561,17.0763931,63.0771561,29.0765839,33.076828,97.0779648,42.0767746,92.07773,45.07695,115.07811,78.07754,57.0771561,34.07682,150.078934,116.078354,67.07735,109.07811,103.077919,150.078934,74.07759,141.07869,202.079926,124.0783,251.080673,177.079285,166.079086,175.079285,194.079681,260.080872,88.07773,202.079926,249.080673,237.080475,271.081055,203.079865,195.079681,202.079926,274.0813,249.080673,151.078888,265.081116,339.0824,251.080673,357.08252,283.081238,219.080078,347.082336,271.081055,371.082947,266.081055,351.08252,329.0822,351.08252,309.0818,320.08197,350.082581,285.081482,429.0838,488.0849,449.084167,430.0838,355.08252,417.083618,342.082336,376.0829,361.0827,455.0844,438.083984,393.083252,396.083252,485.084961,509.085266,573.086365,440.083984,393.083252,587.086548,530.085632,497.085144,629.0873,519.085449,657.0878,523.085449,580.0866,607.0869,566.0862,638.087463,514.085266,538.0859,600.086731,602.087,713.088745,616.0871,610.0869,615.0871,587.086548,632.0875,723.0889,745.0893,675.088257,634.0875,730.0891,804.0904,772.089844,822.0908,719.0889,738.089355,704.088562,887.0919,839.090942,836.090942,830.090759,803.0904,744.0893,851.0911,887.0919,964.09314,848.0911,938.092834,1039.09448,892.091858,972.0933,909.0922,917.092468,946.0928,987.0935,981.093567,871.0915,1001.09393,1053.09473,997.0937,991.09375,964.09314,1020.09406,1060.095,1029.09424,1113.09619,1046.09473,1025.09424,1075.09546,1126.09644,1068.09521,1122.09644,1085.0957,1066.09521,1072.09521,1072.09521,1056.095,1176.09766,1053.09473,1121.09644,1099.096,1253.09937,1154.09717,1164.09741,1190.09814,1149.09717,1195.09814,1286.10034,1210.09839,1179.09766,1295.10034,1300.10059,1241.09912,1218.09863,1231.09888,1298.10059,1212.09863,1223.09888,1176.09766,1366.102,1297.10059,1321.10107,1278.1001,1345.10156,1318.10107,1254.09961,1308.10083,1401.103,1308.10083,1404.103,1391.10278,1287.10034,1412.10327,1372.10229,1369.10229,1361.102,1440.10376,1378.10229,1366.102,1512.10547,1392.10278,1375.10229,1418.10327,1425.10352,1408.103,1375.10229,1428.10352,1421.10327,1501.10522,1452.104,1423.10352,1326.10107,1523.10571,1548.10645,1502.10522,1614.10791,1478.10474,1583.10718,1529.106,1534.106,1473.10449,1473.10449,1506.10547,1390.10278,1402.103,1656.10889,1567.10669,1412.10327,1550.10645,1529.106,1548.10645,1517.10571,1439.10376,1592.10742,1604.10767,1603.10767,1378.10229,1457.10425,1597.10742,1396.10278,1473.10449,1524.10571,1479.10474,1579.10693,1479.10474,1629.10815,1422.10352,1651.10864,1502.10522,1480.10474,1645.10864,1567.10669,1496.10522,1435.10376,1505.10522,1483.10474,1582.10718,1489.105,1511.10547,1455.10425,1496.10522,1600.10742,1486.105,1629.10815,1546.1062,1395.10278,1510.10547,1591.10742,1449.104,1497.10522,1450.104,1419.10327,1472.10449,1376.10229,1443.104,1490.105,1497.10522,1403.103,1246.09937,1459.10425,1460.10425,1424.10352,1309.10083,1407.103,1229.09888,1422.10352,1176.09766,1344.10156,1166.09741,1240.09912,1252.09937,1123.09644,1126.09644,1303.10059,1139.09692,1140.09692,1171.09766,1229.09888,1179.09766,1085.0957,1204.09839,1063.095,1210.09839,1236.09912,1040.09448,1110.09619,1160.09741,1196.09814,1137.09668,1171.09766,1204.09839,1224.09888,1294.10034,1218.09863,1137.09668,1240.09912,1308.10083,1261.09961,1238.09912,1362.102,1355.10181,1422.10352,1435.10376,1312.10083,1432.10352,1426.10352,1432.10352,1467.10449,1551.10645,1443.104,1521.10571,1539.1062,1522.10571,1552.10645,1479.10474,1611.10767,1613.10791,1550.10645,1645.10864,1611.10767,1657.10889,1661.10889,1653.10864,1730.1106,1674.10913,1644.10864,1672.10913,1726.11035,1668.10913,1621.10791,1708.11011,1754.11108,1753.11108,1498.10522,1730.1106,1617.10791,1565.10669,1621.10791,1613.10791,1648.10864,1755.11108,1711.11011,1553.10645,1561.10669,1671.10913,1569.10693,1682.10938,1583.10718,1660.10889,1626.10815,1475.10474,1492.105,1541.1062,1394.10278,1506.10547,1440.10376,1429.10352,1442.10376,1459.10425,1410.103,1420.10327,1348.10181,1318.10107,1298.10059,1277.1001,1250.09937,1380.10254,1262.09961,1257.09961,1208.09839,1174.09766,1256.09961,1104.096,1097.096,1201.09839,1062.095,1099.096,1186.0979,1114.09619,1011.09412,1091.0957,1000.09369,1015.09406,1007.09387,985.0935,844.0912,884.0917,805.0904,882.0917,910.0922,879.0917,920.0924,942.0928,745.0893,743.0893,832.091,821.0906,780.0901,597.086731,705.088562,696.0886,688.0884,616.0871,720.0889,601.087,593.086731,535.085632,516.085266,606.0869,534.085632,498.085083,466.084534,463.084351,457.084351,459.084351,444.084229,446.084167,218.080078,372.0829,328.0822,337.082153,280.081238,149.078934,244.080719,197.079681,221.080078,228.080276,223.080322,214.080078,115.07811,90.07773,174.079285,32.076828,93.07773,116.078354,80.07754,77.07754,74.07759,14.0763922,9.076201,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0]