[0,0.07,0.1,0.9499999,1.3000002,6.0599995,7.930001,24.269997,30.330002,68.939995,82.270004,149.18,170.41,258.62997,284.47003,373.84,399.45,466.35,488.31,519.53,535.16003,537.22,542.51,536.43,527.79,529.93,509.20996,517.66003,494.45996,496.16,483.72998,470.06,477.57,448.65002,475.75,434.95,472.46,423.76,460.47,409.76,440.54,394.51,421.82,384.21997,411.96,381.65997,412.58997,385.8,431.50998,406.06,498.92,475.32,662.15,639.1,957.03,923.41,1381.29,1308.9299,1880.15,1732.99,2342.6099,2115.5098,2638.7,2390.65,2706.44,2530.83,2604.23,2555.34,2454.97,2511.5898,2343.8499,2433.5098,2280.4697,2322.3499,2241.51,2182.85,2224.7803,2065.9001,2251.04,2045.8,2319.79,2154.29,2390.0898,2358.51,2426.7002,2599.96,2450.4602,2831.48,2515.56,3023.6,2641.03,3166.44,2790.67,3267.6396,2925.21,3325.7698,3048.08,3308.5796,3177.96,3184.7798,3291.94,2982.66,3331.7,2789.8398,3271.8198,2673.0703,3154.9697,2609.4502,3048.35,2519.52,2979.1702,2365.48,2914.86,2193.5,2794.9,2072.99,2582.33,2014.34,2291.5798,1961.12,1969.5798,1850.29,1657.47,1661.68,1374.96,1417.8801,1128.73,1161.95,922.14,938.19995,757.86,773.54,635.58997,665.78,549.52,593.24,491.45,535.99,455.75,486.53998,438.75998,446.58002,436.46,420.36002,444.75,409.58002,457.68,409.62,463.99,410.01,451.37,401.12,418.26,381.2,377.71997,356.39,346.19,335.97003,331.99,329.62003,336.43,345.67004,358.61,386.18002,393.05,442,426.99997,494.06,447.26996,522.23,452.16995,517.63,456.50995,490.11,482.03998,463.38995,536.81006,460.06995,601.97003,487.69995,644.41003,535.19995,645.86005,582.01,618.27,614.77,592.25006,635.65,591.82007,649.70996,615.03,648.06,635.99,616.79004,632.07996,564.75006,615.02,530.06006,630.30005,550.14,714.71,626.6,852.25,725.13,982.52997,810.43,1054.25,871.22,1057.77,908.6,1011.70996,920.92,945.88,914.22003,898.75006,910.94006,900.58,933.30005,945.11,986.39,989.92,1063.6799,991.38,1157.98,939.37,1254.6299,862.91,1317.1799,804.43,1298.6,786.13,1181.15,797.86,1001.77,811.32007,831.14,804.22003,726.68005,777.26,700.12,749.1,721.48004,731.61993,752.22003,716.50995,774.52,693.54,787.77,674.15,786.6599,682.91003,760.68994,723.71,717.19995,765.77,685.39996,773.2,684.14,744.51,696.1,711.15,688.6,696.4501,656.18994,690.18005,630.88995,671.71,652.80994,646.8,742.4799,649.12,899.63995,710.79004,1111.1499,838.5,1353.7999,1011.15,1602.52,1196.7001,1840.11,1380.9901,2053.17,1580.7401,2233.13,1816,2394.34,2073.5298,2561.96,2311.5999,2716.6401,2491.13,2784.71,2587.9302,2719.96,2595.6702,2572.95,2540.2402,2448.2397,2471.98,2404.9297,2416.3499,2411.5198,2339.0898,2382.2397,2180.97,2254.5098,1935.04,2056.8398,1692.29,1916.99,1607.4199,1979.7999,1790.6599,2276.04,2200.5298,2668.9502,2650.0498,2962.25,2944.56,3065.7803,3017.04,3037.5403,2935.37,2983.6301,2811.75,2955.73,2723.4702,2941.93,2696.72,2919.74,2730.93,2894.7,2820.12,2894.5798,2950.0503,2946.15,3088.19,3061.51,3197.2998,3229.5898,3267.5898,3410.92,3321.31,3550.5898,3374.4,3607.45,3412.0298,3576.97,3418.5999,3492.87,3407.45,3406.56,3392.37,3352.67,3349.1602,3316.32,3237.33,3223.2202,3041.86,2979.9302,2759.7002,2558.29,2371.6702,2041.53,1881.06,1564.0901,1367.8099,1212.3201,952.3499,997.04004,703.22,892.73,608.4,871.61,626.14,916.59,731.08,1025.01,909.13,1187.9202,1127.52,1355.99,1324.59,1457.2599,1446.99,1481.6099,1512.49,1525.5999,1614.97,1705.6799,1830.23,2028.95,2125.5999,2388.69,2396.79,2680.6401,2580.3298,2876.25,2689.8298,2981.9302,2751.52,2981.97,2745.71,2847.8298,2619.7998,2575.3198,2344.9497,2194.67,1959.9198,1765.04,1559.7,1368.4701,1232.75,1081.03,1007.63,927.16003,859.85,869.11,757.8,848.01,691.92004,828.79,666.99,808.32,680.39,797.68005,711.69,802.9,729.89,812.96,714.81,809.03,684.83997,803.43994,710.39,866.07996,882.06006,1080.27,1232.23,1453.8301,1679.8099,1887.8501,2077.94,2247.79,2327.8801,2458.92,2433.53,2531.88,2455.96,2520.56,2445.6099,2473.5898,2416.27,2411.41,2354.56,2329.35,2238.1401,2219.85,2053.63,2088.56,1818.7399,1944.94,1592.82,1792.8301,1442.9401,1644.79,1385.5001,1531.09,1375.4302,1477.89,1359.9802,1484.18,1331.4702,1526.22,1326.4401,1574.5,1386.24,1609.44,1520.1299,1641.53,1694.2799,1716.73,1853.3699,1873.7,1967.8301,2080.1802,2065.8901,2235.34,2195.68,2264.92,2342.64,2201.4102,2422.45,2134.66,2389.7402,2094.54,2314.7202,2031.8701,2298.25,1916.4099,2335.21,1800.5099,2321.3801,1762.8599,2193.1401,1815.71,2014.36,1886.06,1914.03,1883.54,1961.6799,1784.3,2113.48,1646.93,2266.23,1544.1901,2346.0098,1491.79,2342.5098,1453.8501,2283.3098,1399.1301,2201.8098,1330.8401,2119.43,1271.02,2031.75,1237.82,1911.57,1242.24,1742.0999,1293.7301,1552.8499,1396.5201,1415.8699,1537.2401,1392.3599,1677.0801,1474.0599,1762.8301,1586.5599,1760.51,1657.8699,1685.69,1669.94,1591.4299,1636.94,1515.7799,1559.97,1443.4199,1427.21,1327.98,1243.9799,1151.53,1038.0399,949.06995,838.63,770.56995,663.77,634.27,522.88,526.25,420.2,432.94,355.53003,360.03998,324.18,320.33002,314.82,311.43,310.32,312.8,296.73004,305.05,271.76,285.94998,242.54,265.15997,217.12999,249.34,199.45999,236.52998,189.1,221.44998,182.68,201.81999,175.84,179.59,165.5,158.37,151.39,140.98001,135.98,129.01,122.84999,123.38,114.7,124.99,113.71001,136.70999,125.12001,165.79,157.88,219.78,215.58002,293.68,285.42,363.16998,342.17,399.36,366.79,392.54,359.09,357,332.46997,314,300.94,276.14,272.41998,246.41,249.65999,223.7,232.14,205.61002,216.61,189.32,199.53,173.23,180.84,158.37,164.06999,148.42,154.25998,151.16,160.87,183.68999,203.37,271.92996,304.38998,429.02997,464.45,624.73,643.11,790.02997,779.62,870.5499,841.29004,871.58997,845.54004,840.95996,831.99,817.87994,823.33997,810.05994,818.9,806.6699,816.59,794.57996,828.55,766.19,870.58997,724.5,939.55994,680.27,1006.56006,641.94006,1033.91,614.5101,998.06,605.7001,901.65,617.99,772.8301,632.25,651.03,615.42004,560.34,552.31006,492.57,460.61002,423.76,370.69,346.28,300.26,275.39,251.5,227.29999,220.88,202.62,203.68001,190.89,194.05,181.76,186.68,170.45,178.49,158.01999,168.45001,148.32999,157.02,143.47998,145.68001,141.96999,136.03,141.06,129.18,140.54001,126.689995,145.34001,133.03,164.70001,156.07999,205.40001,200.73999,262.58002,258.91998,318.88,309.39996,356.05,333.15997,367.47003,328.78998,359.65002,310.62,348.45,295.15997,362.3,294.65,446.06,321.35,643.68005,388.6,958.39014,501.36002,1328.6602,649.06006,1656.81,816.13,1869.29,999.75006,1947.18,1201.9401,1904.1,1390.27,1753.4299,1480.7999,1508.02,1393.8298,1201.53,1138.07,892.31,821.07996,639.02,566.43994,472.93,429.3,389.95,387,362.91003,386.39,364.46002,391.40002,386.98,401.74,440.46002,438.65,527.83,512.42004,631.79004,608,737.15,707.53,857.4,817.53,1019.3,961.25006,1215.26,1142.92,1383.56,1323.1201,1453.9,1438.27,1420.8,1460.6702,1361.3601,1442.2201,1366.1001,1478.6401,1458.81,1612.7401,1597.3301,1781.5402,1732.9001,1880.5103,1834.8801,1876.9502,1874.9901,1831.1901,1840.54,1806.88,1763.79,1803,1696.45,1786.9501,1661.9,1755.29,1665.92,1738.92,1729.53,1765.3401,1864.87,1827.5901,2024.97,1883.0201,2109.21,1878.0001,2036.0797,1783.5,1818.8098,1624.82,1564.5498,1480.97,1389.85,1435.6499,1341.71,1513.45,1394.3699,1667.9199,1492.7,1830.87,1595.3899,1960.6499,1705.7999,2048.88,1858.85,2108.3398,2047.93,2161.26,2182.3398,2215.43,2169.4897,2242,2039.94,2194.9502,1941.47,2060.0103,1988.2,1870.88,2136.64,1672.2799,2222.0298,1478.3398,2104.9897,1275.2999,1781.3798,1058.64,1370.49,854.00995,1017.86005,698.97,808.9,616.12,751.75006,607.64,813.39,663.17,958.89,770.12,1159.6399,928.16,1373.5399,1148.24,1534.94,1414.4,1586.8,1647.3201,1527.62,1735.9099,1408.59,1623.3999,1276.28,1355.74,1134.9501,1043,973.09,783.32996,805.31995,621.11993,669.2999,553.07996,591.42,551.79,573.72,589.35,615.16003,662.35004,730.86,795.34,937.66003,994.69995,1221.64,1199.1499,1525.08,1312.99,1763.8899,1302.29,1865.47,1230.6199,1815.96,1187.1099,1683.91,1203.71,1576.41,1257.6699,1550.25,1326.6699,1573.5,1404.9,1579.9099,1474.8301,1539.24,1503.0701,1463.5499,1468.9901,1371.6299,1374.18,1272.59,1232.77,1178.2,1078.4199,1111.79,965.11,1089.47,925.82996,1091.8501,934.70996,1073.79,936.44995,1013.99,909.36,939.4,876.6,889.95996,860.89,875.13,857.38,879.11,860.39996,903.17004,898.5499,993.11,1025.12,1212.6901,1269.33,1566.5302,1600.0399,1942.9702,1939.0498,2172.0203,2207.0098,2178.2002,2359.92,2059.6802,2396,1989.51,2336.39,2058.02,2201.38,2227.58,2014.8599,2402.2598,1831.6598,2504.08,1734.5398,2500.32,1779.96,2398.1401,1943.2599,2231.48,2120.66,2046.74,2190.2002,1882.94,2082.7402,1748.44,1809.9199,1611.24,1440.73,1421.52,1060.8899,1158.42,741.79,857.92004,520.01,588.34,390.47,398.37,322.21002,291.69,286.22003,243.92001,270.48,232.85,276.16998,252.90999,313.00998,310.02997,405.86,409.81,595.48004,550.20996,905.54004,719.24,1287.8201,895.08997,1608.55,1047.76,1718.02,1138.5701,1556.81,1124.4501,1202.05,985.9801,810.13007,762.58,510.41003,539.44,342.67,383.48,274.27,302.22003,254.76999,266.11005,251.76,249.59,253.73999,244.38,260.40997,253.51999,279.19,287.38998,324.72998,357.61,406.87,461.69,511.87,573.63,603.58997,658.75,650.75,702.14,649.55005,719.4,620.18005,737.64,591.95,769.62,592.56995,808.61,637.13,845.27,720.66003,889.64,831.88,980.45996,978.34,1164.19,1181.71,1446.7998,1437.08,1765.3898,1692.51,2023.0797,1885,2159.6099,1987.95,2186.9497,2015.83,2157.13,1996.6299,2095.21,1946.0898,1967.77,1854.4999,1730.23,1696.44,1403.88,1470.3398,1084.51,1230.6699,868.32996,1061.0299,783.24994,1005.24,790.12994,1037.4701,829.42,1106.5502,859.11,1192.5701,862,1305.06,837.48004,1434.1099,800.7601,1522.49,783.44006,1499.39,810.53,1345.04,867.4199,1117.6,906.7899,913.44995,900.18994,801.39996,873.48,787.74,886.39,829.43,983.75,875.14,1158.8899,903.28,1345.6599,930.65,1450.6799,984.17004,1420.1599,1060.13,1285.97,1112.71,1134.71,1091.01,1028.46,992.26,965.28,871.04,913.02,790.17,862,770.05,833.02997,786.64996,840.57996,802.23,864.93,791.8,870.8,754.95,845.27,712.51,804.69006,687.41003,768.18005,685.42004,737.13,694.32007,702.37,696.75006,662.61,680.82007,629.18005,644.41003,613.39,595.52997,614.48,547.17993,622.28,508.30994,627.62,479.93,628.27997,459.99,628.20996,447.40002,629.33997,438.63,621.31995,425.85004,587.18,403.33002,524.51,373.81,453.19,348.7,400.53,344.85,387.98,375.30002,428.47003,434.22003,519.19,494.95,632.41,532.02,725.79,541.80005,769.42993,536.25,760.33997,526.30994,713.4099,520.55994,647.74,528.75995,581.05005,553.11,526.27,581.79004,487.28,599.31,458.43997,597.39,429.65997,574.22,395.27997,536.44006,363.24997,509.5,360.78,537.98,432.61002,663.44,621.48,891.41,928.65,1175.1199,1289.5,1438.3499,1604.04,1625.09,1799.68,1732.54,1864.1201,1801.1099,1831.0001,1875.1699,1749.29,1963.81,1658.23,2030.8701,1573.36,2031.8601,1492.36,1967.6101,1415.5,1889.51,1355.0999,1843.82,1324.87,1821.2,1328.8301,1767.74,1361.9102,1640.31,1410.9001,1450.5701,1449.01,1260.1299,1438.0701,1132.5898,1351.15,1085.01,1199.99,1080.4501,1032.03,1064.67,891.07,1011.18005,787.83997,932,716.5,848.73004,681.54004,767.48004,686.26,690.87006,706.58997,638.21,702.83997,633.37,657.77997,675.17004,589.41,729.45,529.8,749.28,499.76,704.74005,495.20004,602.77,489.50006,481.58002,457.82007,383.66,405.33005,333.47003,364.40002,334.23,361.73,373.15002,394.02002,426.29,434.23,467.39,455.11,480.21,447.3,463.96997,419.77997,427.82,386.58997,382.44,355.05,335.97,324.87997,293.77002,294.06998,259.71002,263.83,236.93,238.75,226.01999,222.25,222.79999,212.25,220.48,203.35,216.13,194.98001,216.15,197.45001,235.42,228.71,288.35,301.71002,376.69,410.22,484.84003,526.72,588.62,619.42004,669.63,674.65,721.66,701.92993,745.85,719.06995,744,736.55,719,755.62,679.51,775.2999,639.32,795.7999,608.9501,814.06995,587.1101,818.23,561.0501,790.5299,518.1001,721.7299,461.19,628.3599,416.50998,555.51996,424.84998,551.6,515.41,626.95996,674.97,738.65,842.81995,827.5,952.11993,870.86,987.88995,889.9,996.37,907.68005,1028.2699,914.56006,1084.45,884.51,1128.09,821.61,1134.1599,777,1110.56,810.76,1079.21,936.79,1047.27,1101.11,999.08997,1209.65,922.64996,1189.7101,839.91,1043.3401,789.53,845.75995,776.76,689.22,764.62,625.55005,721.39,649.3301,655.72003,716.36005,597.70996,775.76,563.20996,801.62,545.13995,804.6,528.18994,808.29,504.67996,815.78,480.31,809.49,467,777.92004,471.32,726.22003,492.54,663.4,526.25,593.56006,561.69,519.38,582.04,446.91003,577.37994,387.81003,553.01996,357.48004,520.44995,365.67004,487.96997,406.36002,463.78998,459.68,458.43,506.20996,475.59998,538.67993,502.22998,558.6599,513.26,564.87,491.07,550.55994,441.09,513.94,386.01,466.75,344.89,428.11002,320.68,409.17,306.74997,404.82,299.68997,400.51,302.18,385.83002,315.36002,361.5,332.77002,336.29,344.66,319.63,347.90997,316.26,348.8,325.94003,354.55997,346.48004,365.05997,375.32,375.83997,407.82,386.88998,434.92004,402.72,443.76,421.74,423.37,429.52,373.62,408.24,310.76,355.61,263,293.57,255.62]