[0,0,0.01,0,0.11999998,0.01,0.66999996,0.13999999,2.34,0.92999995,5.879999,3.9099996,11.829998,11.72,20.96,26.78,34.699997,48.77,53.71,73.19,75.27,93.100006,93.09,103.22,101.01999,103.13,97.53999,97.119995,87.13999,91.439995,78.14,91.799995,79.36,102.38,96.87001,124.85,130.24002,156.97,170.93002,193.36,207.71002,229.07999,235.52,261.6,256.2,288.27002,270.15002,304.88,274.88,314.34,281,343.02997,328.95996,441.59998,473.63995,646.78,730.72,926.8701,1034.6599,1177.9402,1266.5698,1293.6101,1333.8198,1237.48,1221.83,1047.27,983.6,792.48,702.20996,542.35,456.99,351.03998,295.94,243.97998,223.85,213.93,217.59,237.01999,254.57,293.33,325.3,369.78998,417.93,445.43997,497.33,485.17996,516.62,462.93997,461.55,393.38,375.76,328.87003,328.04,316.19,351.33002,355.90997,415.54004,404.72998,458.52002,416.46,442.00998,380.11,378.43,319.90997,307.81,265.07,257.16998,226.45001,226.71999,201.35,209.20999,194.27,213.69,228.33,267.34,331.59998,391.34998,503.99997,568.14,694.1699,731.68994,817.67993,802.27997,811.73,743.6,680.73,589.8,492.53998,419.26,332.89996,306.11002,260.65997,289.19,290.94,362.44,395.87,475.5,512.04,555.39,570.93994,558.18005,552.22,510.5,506.58002,484.47998,504.64,519.47,557.03,576.51,599.68005,580.85,565.7,503.37,458.43,386.9,343.46997,297.38,283.75,269.02997,297.81,298.96997,366.78998,370.88995,457.34,464.43,535.88,547.67004,574.93994,580.8301,558.44995,542.31006,490.58997,452.91003,403.56,369.67,352.50998,353.14996,393.27,434.08997,547.13,594.66003,769.07996,770.7,956.77,883.57,1016.22,888.55,929.18005,798.77997,754,665.55994,572.62,542.8999,445.37,465.52997,394.03,438.88,398.96,438.45,413.93,429.9,403.13,400.28998,368.85,365.17996,337.14,343.71997,322.77002,339.05,321.91,349.32,335.86,386.58002,385.34998,473.35,494.01996,618,657.35,789.0801,824.0801,913.43005,913.1501,917.03,867.38007,786.26996,702.23004,586.8999,498.31,413.20996,341,318.52997,265.4,293.33997,252.04001,297.25,262.51,300.61,273.13,298.31,280.53998,295.41998,286,290.37,283.65997,276.55,268.06,255.95998,247.92,242.77998,242.87,250.48999,264.71,280.53,310.37,330.51,379.38,412.06,488.72,545.52,651.4,724.18994,837.55005,895.5399,979.2001,1000.08997,1030.24,1026.72,1008.82,1010.92004,965.49,980.91003,920.39996,924.75006,848.12,813.67004,720,645.78,547.56995,461.28003,380.68,317.06003,269.02997,247.23001,227.72998,244.01001,233.25998,269.61002,246.62999,284.88,243.34,273.16,225.97,242.90001,210.01,210.36002,201.93,183.36,195.31,161.97,184.8,148.42,177.22,152,189.38,188.13998,239.78,274.02,339.44,414.54,479.52,584.23,626.37994,734.69,744.1099,836.29004,829.08997,905.24,906.47,971.12,981.73,1022.39,1011.04,1004.85,938.01996,879.91,760.12,676.4,551.89,483.09998,421.09003,393.81,437.64,452.01,590.61,627.31,799.26,831.3301,965.7001,967.75006,1030.1301,988.61005,991.31,911.79004,887.85,788.98004,766.2399,665.57007,659.56995,567.0901,580.57,501.30002,522.27,457.83,465.3,413.74,394.04,352.96002,311.56,281.15002,236.62,217.22002,185.01001,173.33002,157.09001,148.18001,143.46,136.38,137.39001,136.16,138.12001,145.85,144.62001,158.74,151.86002,167.48999,155.91,173.04,159.41,183.37,167.10999,200.34999,176.85999,212.62999,180.87,208.15997,177.76999,191.94998,178.37999,183.97998,194.95999,198.06999,225.81999,227.51001,254.34,253.12003,264.89,262.78003,257.82,261.9,246.7,266.43,243.13,286.97998,248.25,319.31998,257.83,349.68997,270.11,368.75998,286.76996,379.37,311.12994,393.93,351.51996,431.61,424.03998,513.67004,539.17,642.06,676.63,775.42,781.24,844.82,799.14,810.06,724.05005,695.36,602.51,562.05,490.05005,454.18,409.31003,379.72,357.32,336.88,340.31,339.06,376.28003,397.99,457.23004,484.91998,530.24005,533.4199,537.48004,500.44995,472.45,413,383.58002,338.41003,326.47,321.32,325.7,360.88,373.44,426.96002,439.29004,477.81,480.69003,479.75,469.95,434.95,422.63,385.33002,385.98,373.72998,391.43,402.25998,425.24,434.56995,448.09998,434.18997,435.30997,395.49,393.61,341.97,346.46997,301.66003,311.75,284.7,292.03,281.16003,280.34003,278.83002,273.91003,280.98,281.07,301.05,308.90002,338.03,344.23,365.89,357.75,356.89,333.51,312.22003,287.69,261.55,253.5,236.64,255.82999,255.26,304.34,322.6,394.16998,425.36005,496.77997,520.84,561.82996,555.82007,551.2,511.95,473.01,422.7,372.1,338.43,290.11002,284.27997,241.11002,254.78,218.12001,237.03,212.79001,231.97,229.86,257.52,286.63998,333.61,395.47998,460.41995,542.44995,608.70996,685.92993,734.44995,783.06995,807.94995,821.01996,831.83997,822.87,834.5,827.07,851.06,863.30005,905.23,935.52,988.5499,1008.12,1045.8999,1012.06995,1002.94006,896.4599,837.51013,692.73987,623.2101,512.3599,482.06,460.05,483.87,543.45,589.03,667.25,686.2001,716.99,687.97003,651.93005,593.7001,519.22,464.35004,389.45,352.91,296.09998,272.33,234.48999,215.56999,193,179.48999,167.86,163.75,155.94,161.66998,150.21,163.72998,147.72,167.59999,154.36,177.66,174.25,193.85,197.37,206.1,205.43,203.45001,191,187.03,165.54999,169.66,146.63,161.98001,141.88,165.53,151.25002,186.62,184.85,252.59,270.56,396.36,430.38998,609.56995,639.70996,816.83997,816.5,916.95996,870.79004,861.3599,777.77,691.67993,600.16,503.13998,436.63,376.81,352.56,340.52997,355.94,376.24,421.39996,452.06,522.16,546.48,636.19006,642.43,729.18005,705.62,752.2,692.82,678.27997,596.58997,539.97,468.19998,414.94995,384.02,372.25,392.77,429.76,484.61,542.72003,591.79,626.11,629.69995,612.83997,562.75,507.68,432.63,379.29,317.53,302,274.5,314.81,321.94,421.56003,449.73,597.37006,622.06,786.50006,782.02997,920.8601,880.57,963.75006,906.76,930.42004,879.77,857.55,814.36,763.02997,709.36005,644.75995,570.06006,507.55997,424.74005,376.46,310.90002,284.2,252.85999,251.45001,254.36998,275.65002,301.90997,333.06003,370.18,393.37003,431.90997,436.7,469.02,457.52997,475.43,455.74997,453.37,433.69998,416.11,408.61,397.2,421.44,445.86002,517.7,595.58,707.53,827.61,943.47,1068.65,1143.3601,1232.69,1240.79,1270.77,1217.27,1186.4099,1094.2999,1016.35,909.51996,809.01996,706.08,615.64996,529.08,478.89996,410.96002,412.68997,354,393.59998,331.96002,379.97998,312.76,344.66998,281.11,291.3,241.69998,240.94998,205.51999,207.43997,178.38,189.43999,162.43,182.36,161.13998,187,175.31,202.26001,195.48999,217.26999,206.07999,219.51999,201.32,210.25,194.15,206.03,204.18,222.47,236.9,258.38,279.03998,298.38,314.50998,329.16,338.33,348.4,352.78998,359.06,360.12,365.28003,369.38995,379.83002,404.43,425.15,486.91,511.91998,604.33997,615.86,705.5399,685.95996,737.86,681.63995,687.2001,602.89996,581.08,486.63995,460.88,376.18997,355.67,294.41,276.64,243.12,227.14,219.95,210.98999,225.45001,227.65,253.08,263.19998,284.02002,298.70996,306.29004,341.71,347.59003,452.62003,484.21,719.83997,787.31995,1170.7699,1225.6599,1692.6499,1636.58,2076.93,1847.29,2182.23,1832.18,2048.9998,1714.1301,1839.5,1621.8801,1684.3301,1590.2,1602.8601,1583.3699,1545.5701,1558.1399,1475.06,1493.6599,1397.19,1397.03,1332.55,1299.05,1283.37,1231.28,1239.22,1197.28,1199.75,1174.64,1171.72,1147.28,1149.7699,1120.9099,1119.8599,1102.1599,1079.85,1080.51,1039.72,1042.41,1002.58,991.28,961.36,941.69,914.83997,900.33997,872.64,862.33997,841.12,823.12,814.95,785.86,786.86,755.70996,757.97003,731.57996,732.77,707.98,708.89,683.01,679.7999,658.80005,646.6599,634.64,618.73,607.02,599.58997,577.48,581.74005,553.05,560.0101,537.66,542.32007,530.37,540.95,534.1,561.68994,561,609.22,626.02,692.13,732.61005,808.83997,862.3601,936.81006,984.93005,1051.3701,1083.78,1146.5001,1161.03,1217.38,1209.0901,1232.77,1196.98,1156.9099,1105.45,1006.11,967.24,859.99,853.65,798.25,816.03,829.5,843.72003,893.08997,884.66003,936.78,913.53,992.56995,976.49005,1166.01,1149.3701,1525.45,1435.1101,1985.1101,1717.8901,2325.1702,1852.8801,2373.5603,1807.55,2173.3804,1696.48,1949.4901,1676.31,1906.31,1809.62,2054.27,2013.52,2216.4902,2132.22,2203.37,2070.8298,1986.6299,1863.4398,1698.23,1621.02,1478.1799,1436.3701,1362.09,1337.3501,1308.6101,1299.65,1280.3301,1286.04,1270.8401,1279.2701,1280.06,1284.1101,1295.8601,1301.9402,1302.1201,1314.31,1289.9102,1299.17,1256.0701,1254.8501,1201.01,1196.0901,1134.14,1131.8201,1072.37,1061.5001,1024.3401,991.56006,982.67004,939.21,940.36,916.73,908.36,923.77,906.17004,954.65,936.37,997.91003,975.04004,1027.85,988.14,1015.11993,957.22,954.81995,892.68,874.64,823.51,808.19,772.16,764.65,738.55005,728.07007,707.5901,682.31,668.80005,631.63995,629.49005,601.69995,620.42004,637.22,699.14,801.89,931.74,1139.1901,1327.73,1587.6602,1773.06,1963.3901,2071.4502,2097.69,2103.7402,1996.19,1933.77,1815.3099,1727.2,1691.49,1592.3,1638.0701,1528.5201,1592.6902,1490.18,1510.2001,1447.6599,1398.65,1394.51,1295.5801,1333.02,1230.1299,1266.7,1204.58,1199.14,1199.36,1134.4199,1187.79,1078.25,1149.79,1036.61,1081.13,1009.61,994.14,987.53,908.25,957.11,838.62,912.36,792.18,857.51996,768.91003,801.70996,761.78,753.98,757.4,720.74,742.38,702.10004,711.36005,690.10004,668.5801,674.42004,623.33,652.14996,587.19,633.26,576.25,638.08,609.92004,684.83,695.37,768.09,805.09,846.81006,878.95,867.80005,867.17,812.43005,775.62,714.2001,660.64,626.37,582.27,581.32996,568.17993,580.01,607.77997,603.12,664.32,628.07996,702.02,648.05,716.54004,677.91003,735.48004,734.38,783.77,812.68,854.54,888.49,915.7699,937.75995,939.3899,951.81995,924.0399,941.67993,894.81995,930.1599,879.63,930.37994,880.87,927.93,870.88,891,818.13,802.04,717.14,675.75,592.17993,545.81,477.51996,443.16998,402.11,393.93,393.27,430.84998,485.94,593.93994,718.27,911.4099,1104.15,1364.6798,1588.3501,1853.6997,2028.59,2213.8398,2262.52,2314.7197,2225.3901,2158.2,1991.0001,1860.86,1690.88,1547.62,1417.1299,1283.5199,1200.65,1084.8298,1038.0701,948.01,915.07007,858.1,820.5201,794.58997,753.7001,746.26,717.24005,716.39996,705,706.50995,700.4,699.38995,683.51,668.62,640.61,604.93994,574.14,524.93,503.11002,454.14,448.17004,409.43002,417.83002,394.74002,410.21002,402.69,418.83002,418.15002,431.36,426.31,432.19,420.03,414.39,400.49002,384.91998,374.48004,355.12,351.78,331.62,340.87,318.28,345.39,320.93,367.2,347.34003,412.43,405.4,489.57,501.11,599.92004,637.25,739.03,823.87,919.84,1095.44,1182.91,1484.7799,1544.73,1938.1998,1921.9401,2281.8499,2149.8901,2342.2397,2117.3403,2111.16,1869.5303,1750.94,1558.02,1440.6799,1308.9099,1252.15,1156.1599,1157.8601,1071.95,1104.01,1020.7299,1058.0798,982.4899,1013.0899,950.01,972.0999,920.48,934.6599,889.95,894.61,852.86,846.51996,806.19995,791.24,753.13,735.07,701.27,684.89,656.94,643.62,620.77997,609.4,589.86,581.33997,566.83997,568.48,567.56995,589.62,614.1599,658.39,714.4099,768.81995,847.94995,897.51,973.49,1012.80994,1047.6199,1077.74,1043.57,1062.88,971.58997,981.32,890.67,906.15,882.80994,924.28,988.89996,1055.06,1160.23,1218.5801,1282.95,1293.51,1263.45,1211.6201,1097.69,1003.4601,864.13,763.61005,656.57,577.28,523,472.25,455.22,424.65,420.15997,398.77,396.08,381.16998,386.65997,383.89,409.23996,421.55,470.82996,487.50995,552.1,551.7899,615.25,583.43994,632.35,575.68994,606.45996,547.17993,563.80994,522.08997,532.82996,519.12,539.7899,562.7001,620.8,697.8301,822.07,980.8301,1168.31,1428.26,1615.06,1949.4701,2035.88,2351.6401,2284.23,2469.7102,2299.73,2314.8901,2168.19,2075.55,2069.29,1960.3,2137.0503,2033.9602,2339.5,2182.2202,2492.06,2221.74,2417.4302,2059.91,2109.6902,1765.8799,1733.9202,1495.4199,1468.76,1353.84,1366.08,1327.57,1352.1699,1327.7,1327.56,1281.12,1249.54,1180.7,1138.1699,1065.2999,1031.7,970.1099,948.8499,900.58997,885.11,842.51996,828.27,783.54,770.49,722.5,711.07,665.27,654.86,618.62,610.03,588.15,584.92,576.9,582.67993,582.64,596.35,597.41003,610.61,610.69,611.02,612.75,592.39,596.9,559.27,562.7999,521.01,519.0299,486.71,479.19998,461.72998,452.35004,446.19,436.95,435.85004,424.40002,424.70004,407.74002,409.38004,390.39,397.67004,397.92,423.44,491.06,556.96,750.82996,872.26,1205.26,1355.5299,1744.56,1843.2397,2143.86,2110.1697,2224.26,2055.38,2000.1599,1779.1699,1651.08,1470.25,1359.7899,1251.24,1194.7699,1135.48,1123.1199,1081.51,1088.32,1051.0898,1060.9099,1027.1799,1038.4299,1005.63,1022.66003,982.51,1004.85004,948.93005,969.75,897.09,910.06,829.96,834.46,760.89996,760.17004,702.38995,699.32,658.5499,655.25,628.9199,628.59,612.81995,618.01,605.48,613.53,595.83,600.00006,577.63,575.48004,562.36,559.42004,570.85,571.58,606.69,603.63,644.04004,621.2201,648.8,598.2301,610.70996,544.17004,551.34,494.35,502.77002,476.94,481.64,492,480.68,515.98,478.86,520.38,458.56,490.5,417.38,433.87,367.25,372.3,324.13,325.44,299.12,301.44998,295.29,297.52997,306.29,302.77997,317.68,303.18,316.16003,291.08002,300.85,270.68,282.09,251.28,267.65,237.62999,255.45999,230.62999,242.32999,232.22]