[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,260.6673,264.667542,375.6693,351.668945,570.672852,569.672852,716.6754,898.678467,1001.68036,1103.68237,1044.68115,1299.687,1448.69043,1494.69141,1648.69507,1803.69873,1781.69824,1770.698,2053.70459,2284.70874,2392.706,2458.70459,2556.70239,2670.69971,2778.69727,2901.69434,2945.69336,3170.688,3028.69141,3361.68359,3259.686,3486.68066,3672.67651,3534.67969,3682.67627,3821.673,3826.67285,3811.67334,4078.667,3948.67041,4117.66553,4129.665,4168.66357,4201.66162,4159.66357,4364.6543,4249.65967,4259.659,4268.65869,4414.652,4366.6543,4393.653,4494.64844,4399.653,4549.64551,4499.648,4438.651,4590.644,4472.64941,4437.651,4528.64648,4402.65234,4506.648,4466.64941,4382.65332,4566.645,4412.652,4439.651,4239.66,4457.65,4280.658,4304.657,4367.6543,4182.6626,4364.6543,4350.655,4376.654,4109.666,4067.66724,4170.663,4142.66455,4120.66553,4208.66162,4032.66821,4112.666,4059.66748,4060.66748,3952.67,3859.672,3945.67017,3819.673,3835.67261,3731.675,3725.67529,3646.677,3612.67773,3692.676,3742.6748,3595.67822,3608.678,3536.67969,3600.67822,3452.68164,3464.68115,3378.68335,3449.68164,3249.68628,3397.68286,3178.688,3206.68726,3323.68457,3170.688,3088.69,3128.689,3098.6897,3094.69,3137.689,3031.69141,2969.69263,2928.6936,2983.69238,2863.69531,2913.694,2830.696,2851.69556,2926.69385,2596.70142,2669.69971,2678.69946,2656.7,2735.69824,2720.69849,2693.69922,2599.70142,2716.699,2579.702,2604.70117,2597.70142,2562.70215,2476.704,2507.70337,2573.702,2535.703,2383.7063,2448.70483,2480.704,2326.70776,2451.70483,2431.70532,2421.70557,2372.70654,2361.70679,2224.7085,2269.709,2187.70752,2124.706,2257.70923,2275.70874,2128.7063,2202.708,2074.705,2115.70581,2090.70532,2218.70825,2088.70532,2086.70532,1995.70313,2050.70435,1940.7019,2010.70337,1835.69946,1880.70044,1804.69873,1813.699,1747.69727,1809.69873,1708.69653,1820.699,1742.69727,1695.69629,1589.6936,1650.69507,1496.69165,1547.69263,1457.69067,1475.69116,1419.6897,1528.69238,1300.687,1351.68823,1240.68555,1177.68408,1228.6853,1062.6814,1231.6853,1096.68237,1095.68237,1167.68384,1040.68091,1058.6814,983.679932,1018.68048,891.6783,795.676636,828.6772,896.6785,852.677551,820.677,926.678833,645.6741,681.6746,707.675232,541.672241,547.672241,472.670959,560.672668,523.6719,542.672241,464.671021,375.6693,359.6692,327.66864,371.6693,319.6684,389.6695,308.6682,304.66803,222.666748,259.6673,129.664917,143.665115,108.664536,4.66262674,0.0,0.0,3.6626265,0.0,10.6626272,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,34.6631851,0.0,0.0,27.66301,0.0,0.0,2.66267228,103.664345,0.0,5.6626277,53.6636353,25.66301,30.66301,27.66301,128.664963,52.66339,0.0,61.66358,39.6632,80.66396,27.66301,0.0,58.66358,21.663063,88.6641541,48.66339,94.6641541,60.66358,64.663826,128.664963,73.66377,123.664726,76.66395,146.665115,109.664536,88.6641541,65.66382,181.665955,147.665359,98.6643448,140.665115,134.664917,181.665955,105.664589,172.66571,233.666946,155.665314,282.667664,208.6663,197.6661,206.6663,225.6667,291.667847,119.664726,233.666946,280.667664,268.66748,302.66803,234.666885,226.6667,233.666946,305.668274,280.667664,182.665909,296.6681,370.669373,282.667664,388.6695,314.6682,250.6671,378.6693,302.66803,402.669922,297.66803,382.6695,360.6692,382.6695,340.668762,351.668945,381.669556,316.668457,460.670776,519.6719,480.671143,461.670776,386.6695,448.6706,373.6693,407.669861,392.669678,486.6714,469.670959,424.670227,427.670227,516.671936,540.672241,604.67334,471.670959,424.670227,618.6735,561.6726,528.6721,660.674255,550.6724,688.6748,554.6724,611.6736,638.6739,597.673157,669.674438,545.672241,569.672852,631.6737,633.67395,744.6757,647.6741,641.6739,646.6741,618.6735,663.6745,754.6759,776.6763,706.675232,665.6745,761.6761,835.677368,803.6768,853.6778,750.6759,769.676331,735.675537,918.6789,870.6779,867.6779,861.677734,834.677368,775.6763,882.6781,918.6789,995.6801,879.6781,969.6798,1070.68164,923.678833,1003.6803,940.6792,948.679443,977.679749,1018.68048,1012.68054,902.678467,1032.68091,1084.68188,1028.68066,1022.68073,995.6801,1051.68115,1091.68213,1060.6814,1144.68335,1077.68188,1056.6814,1106.68262,1157.68359,1099.68237,1153.68359,1116.68286,1097.68237,1103.68237,1103.68237,1087.68213,1207.68481,1084.68188,1152.68359,1130.68311,1284.68652,1185.68433,1195.68457,1221.6853,1180.68433,1226.6853,1317.6875,1241.68555,1210.68481,1326.6875,1331.68774,1272.68628,1249.68579,1262.686,1329.68774,1243.68579,1254.686,1207.68481,1397.68921,1328.68774,1352.68823,1309.68726,1376.68872,1349.68823,1285.68677,1339.688,1432.69019,1339.688,1435.69019,1422.69,1318.6875,1443.69043,1403.68945,1400.68945,1392.68921,1471.69092,1409.68945,1397.68921,1543.69263,1423.69,1406.68945,1449.69043,1456.69067,1439.69019,1406.68945,1459.69067,1452.69043,1532.69238,1483.69116,1454.69067,1357.68823,1554.69287,1579.6936,1533.69238,1645.69507,1509.69189,1614.69434,1560.69312,1565.69312,1504.69165,1504.69165,1537.69263,1421.69,1433.69019,1687.696,1598.69385,1443.69043,1581.6936,1560.69312,1579.6936,1548.69287,1470.69092,1623.69458,1635.69482,1634.69482,1409.68945,1488.69141,1628.69458,1427.69,1504.69165,1555.69287,1510.69189,1610.69409,1510.69189,1660.69531,1453.69067,1682.6958,1533.69238,1511.69189,1676.6958,1598.69385,1527.69238,1466.69092,1536.69238,1514.69189,1613.69434,1520.69214,1542.69263,1486.69141,1527.69238,1631.69458,1517.69214,1660.69531,1577.69336,1426.69,1541.69263,1622.69458,1480.69116,1528.69238,1481.69116,1450.69043,1503.69165,1407.68945,1474.69116,1521.69214,1528.69238,1434.69019,1277.68652,1490.69141,1491.69141,1455.69067,1340.688,1438.69019,1260.686,1453.69067,1207.68481,1375.68872,1197.68457,1271.68628,1283.68652,1154.68359,1157.68359,1334.68774,1170.68408,1171.68408,1202.68481,1260.686,1210.68481,1116.68286,1235.68555,1094.68213,1241.68555,1267.68628,1071.68164,1141.68335,1191.68457,1227.6853,1168.68384,1202.68481,1235.68555,1255.686,1325.6875,1249.68579,1168.68384,1271.68628,1339.688,1292.68677,1269.68628,1393.68921,1386.689,1453.69067,1466.69092,1343.688,1463.69067,1457.69067,1463.69067,1498.69165,1582.6936,1474.69116,1552.69287,1570.69336,1553.69287,1583.6936,1510.69189,1642.69482,1644.69507,1581.6936,1676.6958,1642.69482,1688.696,1692.696,1684.6958,1761.69775,1705.69629,1675.6958,1703.69629,1757.69751,1699.69629,1652.69507,1739.69727,1785.69824,1784.69824,1529.69238,1761.69775,1648.69507,1596.69385,1652.69507,1644.69507,1679.6958,1786.69824,1742.69727,1584.6936,1592.69385,1702.69629,1600.69409,1713.69653,1614.69434,1691.696,1657.69531,1506.69189,1523.69214,1572.69336,1425.69,1537.69263,1471.69092,1460.69067,1473.69092,1490.69141,1441.69019,1451.69043,1379.689,1349.68823,1329.68774,1308.68726,1281.68652,1411.6897,1293.68677,1288.68677,1239.68555,1205.68481,1287.68677,1135.68311,1128.68311,1232.68555,1093.68213,1130.68311,1217.685,1145.68335,1042.68115,1122.68286,1031.68066,1046.68115,1038.68091,1016.68048,875.678162,915.67865,836.677368,913.67865,941.6792,910.67865,951.6794,973.679749,776.6763,774.6763,863.678,852.677551,811.677063,628.6737,736.675537,727.6756,719.675354,647.6741,751.6759,632.67395,624.6737,566.6726,547.672241,637.6739,565.6726,529.672058,497.6715,494.671326,488.671326,490.671326,475.6712,477.671143,249.6671,403.669861,359.6692,368.669128,311.6682,180.665955,275.667725,228.6667,252.6671,259.6673,254.667343,245.6671,146.665115,121.664726,205.6663,63.663826,124.664726,147.665359,111.664536,108.664536,105.664589,45.66339,40.6632,0.0,4.66262674,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0]