[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,101.115028,100.115028,207.116989,296.118774,330.119263,608.124,612.124268,723.126038,699.1257,918.1296,917.1296,1064.13232,1246.13647,1349.13892,1451.14111,1392.13989,1647.14575,1796.14917,1842.15015,1996.15381,2151.15747,2129.157,2118.15674,2401.16333,2632.16748,2740.16479,2806.16333,2904.16113,3018.15845,3126.156,3249.153,3293.152,3518.14673,3376.15015,3709.14233,3607.14478,3834.1394,4020.13525,3882.13843,4030.135,4169.13037,4174.13,4159.131,4426.118,4296.12451,4465.116,4477.11572,4516.11426,4549.1123,4507.11426,4712.105,4597.11035,4607.11,4616.10938,4762.10254,4714.105,4741.10352,4842.099,4747.10352,4897.096,4847.09863,4786.10156,4938.09473,4820.1,4785.10156,4876.097,4750.103,4854.09863,4814.1,4730.104,4914.0957,4760.10254,4787.10156,4587.111,4805.10059,4628.109,4652.108,4715.105,4530.11328,4712.105,4698.10547,4724.10449,4457.1167,4415.11865,4518.114,4490.115,4468.116,4556.1123,4380.12061,4460.1167,4407.119,4408.119,4300.124,4207.12842,4293.12451,4167.13037,4183.12939,4079.13379,4073.134,3994.13574,3960.13647,4040.13477,4090.13354,3943.137,3956.13672,3884.13843,3948.137,3800.14038,3812.14,3726.142,3797.14038,3597.145,3745.1416,3526.14673,3554.146,3671.14331,3518.14673,3436.14868,3476.14771,3446.14844,3442.14868,3485.14771,3379.15015,3317.15137,3276.15234,3331.15112,3211.154,3261.15283,3178.15479,3199.1543,3274.15259,2944.16016,3017.15845,3026.1582,3004.15869,3083.157,3068.15723,3041.158,2947.16016,3064.15771,2927.16064,2952.16,2945.16016,2910.161,2824.16284,2855.162,2921.16064,2883.16162,2731.165,2796.16357,2828.16284,2674.1665,2799.16357,2779.164,2769.16431,2720.16528,2709.16553,2572.16724,2617.16772,2535.16626,2472.16479,2605.168,2623.16748,2476.165,2550.16675,2422.16382,2463.16455,2438.164,2566.167,2436.164,2434.164,2343.16187,2398.163,2288.16064,2358.162,2183.1582,2228.15918,2152.15747,2161.15771,2095.156,2157.15747,2056.15527,2168.15771,2090.156,2043.155,1937.15234,1998.15381,1844.15039,1895.15137,1805.14941,1823.1499,1767.14844,1876.15112,1648.14575,1699.147,1588.14429,1525.14282,1576.144,1410.14014,1579.144,1444.14111,1443.14111,1515.14258,1388.13965,1406.14014,1331.13843,1366.13916,1239.13623,1143.134,1176.13477,1244.13647,1200.13525,1168.13452,1274.137,993.1308,1029.13135,1055.13208,889.128967,895.128967,820.1277,908.1294,871.1286,890.128967,812.127747,723.126038,707.1259,675.125366,719.126038,667.1251,737.1262,656.124939,652.124756,570.123535,607.124,477.121826,491.122,456.12146,352.119629,335.119263,343.119446,351.119629,218.117188,358.119629,221.117188,162.1162,138.115845,164.1162,143.1158,151.116,14.1135015,50.1140747,91.11484,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,2.11335588,0.0,0.0,0.0,0.0,16.1135025,10.1133108,0.0,8.113311,0.113119408,82.11465,94.11484,12.113555,125.11541,9.113311,159.116241,101.115028,37.113884,91.11484,73.1144562,109.115219,180.116638,165.1162,196.116791,109.115219,163.1162,195.116791,239.117584,128.115646,223.117432,158.116,233.11763,231.117386,238.117584,193.116791,212.117233,175.1164,205.116989,208.116989,268.118164,301.1187,323.11908,332.119263,302.1187,234.11763,335.119263,319.11908,244.117828,382.120178,318.119141,244.117828,375.12,338.1195,310.1189,350.1197,451.121277,344.119446,353.119629,401.1206,373.12,378.12,375.12,476.1219,400.120361,343.119446,409.120544,387.120178,428.1209,375.12,329.119263,406.120544,369.120056,436.1211,396.120361,442.1211,408.120544,412.1208,476.1219,421.120728,471.121643,424.1209,494.122,457.12146,436.1211,413.1208,529.1228,495.122253,446.121277,488.122,482.121826,529.1228,453.121521,520.122559,581.1237,503.1222,630.1244,556.1231,545.1229,554.1231,573.1235,639.1246,467.121643,581.1237,628.1244,616.1242,650.124756,582.123657,574.1235,581.1237,653.125,628.1244,530.122742,644.1248,718.1261,630.1244,736.1262,662.124939,598.12384,726.126038,650.124756,750.126648,645.124756,730.1262,708.1259,730.1262,688.1255,699.1257,729.1263,664.1252,808.1275,867.1286,828.127869,809.1275,734.1262,796.1273,721.126038,755.1266,740.1264,834.1281,817.1277,772.126953,775.126953,864.128662,888.128967,952.130066,819.1277,772.126953,966.130249,909.129333,876.128845,1008.131,898.12915,1036.13159,902.12915,959.1303,986.1306,945.1299,1017.13116,893.128967,917.1296,979.130432,981.1307,1092.13281,995.1308,989.1306,994.1308,966.130249,1011.13123,1102.133,1124.13354,1054.13208,1013.13123,1109.1333,1183.135,1151.13428,1201.1355,1098.133,1117.13354,1083.13257,1266.137,1218.13574,1215.13574,1209.1355,1182.135,1123.13354,1230.136,1266.137,1343.13867,1227.136,1317.13818,1418.14038,1271.137,1351.13892,1288.13745,1296.1377,1325.13818,1366.13916,1360.13916,1250.13647,1380.13965,1432.14063,1376.1394,1370.1394,1343.13867,1399.13989,1439.14087,1408.14014,1492.14209,1425.14063,1404.14014,1454.14136,1505.14233,1447.14111,1501.14233,1464.1416,1445.14111,1451.14111,1451.14111,1435.14087,1555.14355,1432.14063,1500.14233,1478.14185,1632.14526,1533.14307,1543.14331,1569.144,1528.14307,1574.144,1665.14624,1589.14429,1558.14355,1674.14624,1679.14648,1620.145,1597.14453,1610.14478,1677.14648,1591.14453,1602.14478,1555.14355,1745.148,1676.14648,1700.147,1657.146,1724.14746,1697.147,1633.14551,1687.14673,1780.14893,1687.14673,1783.14893,1770.14868,1666.14624,1791.14917,1751.14819,1748.14819,1740.148,1819.14966,1757.14819,1745.148,1891.15137,1771.14868,1754.14819,1797.14917,1804.14941,1787.14893,1754.14819,1807.14941,1800.14917,1880.15112,1831.1499,1802.14941,1705.147,1902.15161,1927.15234,1881.15112,1993.15381,1857.15063,1962.15308,1908.15186,1913.15186,1852.15039,1852.15039,1885.15137,1769.14868,1781.14893,2035.15479,1946.15259,1791.14917,1929.15234,1908.15186,1927.15234,1896.15161,1818.14966,1971.15332,1983.15356,1982.15356,1757.14819,1836.15015,1976.15332,1775.14868,1852.15039,1903.15161,1858.15063,1958.15283,1858.15063,2008.154,1801.14941,2030.15454,1881.15112,1859.15063,2024.15454,1946.15259,1875.15112,1814.14966,1884.15112,1862.15063,1961.15308,1868.15088,1890.15137,1834.15015,1875.15112,1979.15332,1865.15088,2008.154,1925.1521,1774.14868,1889.15137,1970.15332,1828.1499,1876.15112,1829.1499,1798.14917,1851.15039,1755.14819,1822.1499,1869.15088,1876.15112,1782.14893,1625.14526,1838.15015,1839.15015,1803.14941,1688.14673,1786.14893,1608.14478,1801.14941,1555.14355,1723.14746,1545.14331,1619.145,1631.14526,1502.14233,1505.14233,1682.14648,1518.14282,1519.14282,1550.14355,1608.14478,1558.14355,1464.1416,1583.14429,1442.14087,1589.14429,1615.145,1419.14038,1489.14209,1539.14331,1575.144,1516.14258,1550.14355,1583.14429,1603.14478,1673.14624,1597.14453,1516.14258,1619.145,1687.14673,1640.14551,1617.145,1741.148,1734.14771,1801.14941,1814.14966,1691.14673,1811.14941,1805.14941,1811.14941,1846.15039,1930.15234,1822.1499,1900.15161,1918.1521,1901.15161,1931.15234,1858.15063,1990.15356,1992.15381,1929.15234,2024.15454,1990.15356,2036.15479,2040.15479,2032.15454,2109.15649,2053.155,2023.15454,2051.155,2105.15625,2047.155,2000.15381,2087.156,2133.157,2132.157,1877.15112,2109.15649,1996.15381,1944.15259,2000.15381,1992.15381,2027.15454,2134.157,2090.156,1932.15234,1940.15259,2050.155,1948.15283,2061.15527,1962.15308,2039.15479,2005.154,1854.15063,1871.15088,1920.1521,1773.14868,1885.15137,1819.14966,1808.14941,1821.14966,1838.15015,1789.14893,1799.14917,1727.14771,1697.147,1677.14648,1656.146,1629.14526,1759.14844,1641.14551,1636.14551,1587.14429,1553.14355,1635.14551,1483.14185,1476.14185,1580.14429,1441.14087,1478.14185,1565.1438,1493.14209,1390.13989,1470.1416,1379.1394,1394.13989,1386.13965,1364.13916,1223.136,1263.13672,1184.135,1261.13672,1289.13745,1258.13672,1299.1377,1321.13818,1124.13354,1122.13354,1211.13574,1200.13525,1159.13452,976.130432,1084.13257,1075.13257,1067.13232,995.1308,1099.133,980.1307,972.130432,914.129333,895.128967,985.1306,913.129333,877.1288,845.128235,842.128052,836.128052,838.128052,823.1279,825.127869,597.12384,751.1266,707.1259,716.125854,659.124939,528.1228,623.124451,576.1235,600.12384,607.124,602.1241,593.12384,494.122,469.121643,553.1231,411.1208,472.121643,495.122253,459.12146,456.12146,453.121521,393.120361,388.120178,308.1189,352.119629,339.1195,276.1184,244.117828,241.117584,206.116989,188.1166,224.117371,224.117371,193.116791,249.117783,178.1164,44.11412,166.1162,45.11406,159.116241,213.117233,110.115219,22.1137466,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0]