[0,0,0,0.01,0.01,0.12999998,0.11999998,0.78999996,0.66999996,2.9899998,2.33,7.9399996,5.74,15.86,10.91,25.099998,17.18,33.02,23.78,37.97,30.050001,40.17,35.22,40.829998,38.629997,40.949997,40.289997,40.97,40.85,41.08,41.08,41.62,41.75,43.179996,43.96,46.159996,49.02,50.329998,57.480003,55.39,68.26001,61.77,78.93001,69.69,86.850006,77.49999,90.369995,82.56999,89.72,84.119995,86.979996,84.009995,84.78999,84.78,84.91,87.77,87.78,92.86,92.84,99.34,99.11,107.03999,105.829994,116.61,112.76999,128.38,120.259995,141.03,129.29,151.93,141.18,159.09,156.45,162.60999,173.83,164.28,190.24,166.26001,201.79001,170.14001,205.97002,176.52,204.01001,184.98,200.51001,194.45,199.86002,203.58,203.49002,210.94,210.53,215.57,219.23999,217.70999,227.04999,218.81,231.44,221.20999,232.76999,227.93,235.08998,240.72,242.12997,256.78,253.06998,270.15997,264.43997,280.69998,277.50998,303.71997,305.59998,370.24,374.67,509.88,508.27005,719.67,699.0901,946.01996,896.5501,1110.1299,1036.3401,1163.0999,1087.6201,1118.4598,1068.3701,1032.9799,1019.48,958.92993,971.01996,911.86993,930.43994,879.18994,897.23,856.75995,886.51996,868.54,930.47,938.27,1042.94,1046.6001,1182.42,1134.1,1269.1101,1150.86,1253.2001,1097.1201,1159.6499,1021.02,1059.8099,984.36,1009.37994,1020.72003,1016.00995,1110.91,1049.3999,1196.12,1072.5,1221.02,1069.51,1169.12,1048.4199,1064.08,1019.25,947.64,979.65,856.61,927.41003,810.85,880.89996,817.53,877.76996,881.08,945.50995,994.61005,1068.9199,1120.42,1190.7198,1201.16,1251.1799,1203.48,1229.4899,1141.48,1150.2399,1054.47,1056.7899,972.85,978.18994,906.06995,916.11,852.72,862.89996,818.9,830.14996,825.13,848.41,885.21,930.26,977.72,1039.3099,1052.8599,1109.7799,1072.0399,1104.07,1035.39,1045.51,978.30005,990.70996,950.5,978.57996,985.05994,1010.11,1069.1799,1064.2,1148.46,1119.3099,1171.25,1159.23,1127.98,1167.69,1046.78,1131.09,962.62,1051.31,896.22,949.89,853.49,860.58,838.63,821.45,864.75,858.97,941.33,960.98,1047.7001,1071.99,1132.9701,1132.49,1152.52,1124.39,1100.58,1073.13,1006.16,1011.72,904.64,952.0499,816.16003,891.11,747.98004,838.19,713.73004,825.88,741.29004,883.69006,847.74,998.91003,1005.15,1112.1299,1146.51,1159.71,1214.56,1123.95,1201.73,1043.98,1147.5898,980.99,1107.88,973.52997,1118.1501,1018.67993,1169.8601,1083.34,1220.1001,1128.07,1231.58,1126.48,1200.53,1074.23,1144.15,989.67993,1073.46,904.70996,989.2,846.32007,899.38,826.5,831.57996,851.36,821.73,926.58997,882.8301,1039.6799,982.7301,1145.5701,1061.9901,1190.49,1079.7302,1156.8799,1041.5602,1078.19,986.8001,1006.14,951.43005,966.94,938.58,951.91003,925.14996,948.68005,902.58997,971.2301,902.62994,1043.3601,965.62994,1152.9302,1085.4,1244.2701,1203.0001,1266.79,1258.7301,1219.92,1240.92,1146.8799,1186.74,1096.8298,1146.87,1094.0798,1147.1401,1127.7899,1173.2401,1162.45,1189.5901,1164.9202,1174.0101,1127.5701,1132.26,1066.62,1082.8901,1003.49,1036.8601,952.18005,993.14,920.25,951.10004,916.52,927.03,953.37,950.97003,1032.7101,1033.3601,1127.8201,1136.8,1191.3501,1197.0599,1190.0801,1177.06,1129.37,1094.68,1044.21,999.78,971.4501,929.99,927.16003,888.01,903.97003,858.76,892.92004,845.5,907.25,879.8499,969.22,984.8799,1067.7999,1129.8298,1148.1,1237.45,1156.29,1247.83,1088.5498,1171.82,993.0399,1078.1199,932.03,1033.82,940.32007,1058.08,1005.13,1120.19,1077.54,1171.0199,1108.3401,1178.6499,1079.25,1142.1199,1005.23,1078.54,916.83997,1003.47,844.33997,925.78,810.30994,858.36,830.08997,828.04,913.28,864.25,1051.5,966.96,1201.45,1089.8501,1298.5,1169.55,1301.26,1174.74,1219.49,1122.31,1098.5099,1051.0399,984.3299,986.67993,900.68994,929.83997,848.31,874,823.44006,832.55005,835.63,838.17004,897.32996,906.06995,994.62,1003.02997,1082.1799,1067.32,1114.48,1064.6199,1079.52,1017.25995,1008.00995,976.81995,956.48,977.78,970.23,1019.36005,1046.4199,1079.05,1133.7599,1134.0701,1175.36,1171.22,1150.02,1181.99,1075.07,1156.96,985.1,1090.61,912.18994,989.73,874.18,878.76,876.66003,800.72003,923.85,800.78,1013.02997,889.15,1115.03,1019.79,1180.81,1119.98,1179.1802,1145.5299,1118.89,1104.49,1031.08,1033.22,940.99994,959.25995,859.98,889.1,796.76,827.74,770.23,801.89,805.05,849.9,905.74,978.16003,1036.76,1132.5701,1140.9299,1229.75,1181.1499,1225.52,1161.82,1147.94,1119.1599,1063.84,1098.1199,1024.73,1125.1799,1041.85,1188.2,1091.9099,1245.1101,1137.94,1258.18,1153.41,1218.1401,1133.27,1139.03,1086.77,1042.03,1026.35,947.09,963.88,871.77,914.08997,834.0901,898.24,853.69006,934.54004,937.77,1015.38007,1058.5801,1100,1157.1599,1142.41,1184.24,1129.0801,1138.55,1086.25,1062.21,1050.95,1000.85,1035.76,968.73,1023.6101,950.1,1001.35,933.56995,992.4,938.92,1038.06,996.78,1141.6301,1101.44,1247.8201,1200.51,1288.8601,1238.75,1244.41,1205.45,1152,1140.86,1068.74,1104.77,1030.2699,1132.29,1036.8999,1205.66,1064.48,1267.92,1086.69,1271.6401,1092.66,1216.17,1086.87,1139.3,1077.6799,1080.77,1070.3201,1056.1299,1067.07,1058.6099,1071.58,1080.9199,1095.3501,1131.21,1154.54,1220.47,1251.24,1336.71,1362.98,1447,1462.98,1530.6699,1547.4401,1598.6499,1630.03,1673.8298,1713.69,1762.0499,1783.5901,1847.4299,1825.76,1907.5399,1840.25,1931.19,1840.48,1929.15,1846.26,1924.04,1867.04,1926.12,1892.07,1935.17,1915.0898,1969.81,1963.6799,2066.76,2079.75,2239.1,2274.3398,2456.4697,2517.71,2671.0798,2757.57,2840.0498,2925.62,2918.94,2948.38,2866.49,2795.1199,2686.54,2528.98,2459.0898,2289.19,2300.46,2197.3198,2280.6099,2275.21,2389.5098,2455.08,2577.2798,2649.06,2795.33,2788.57,2991.25,2826.33,3101.86,2759.33,3086.48,2656.92,2965.04,2616.5598,2812.65,2669.2798,2716.94,2757.67,2728.53,2817.24,2828.2102,2845.31,2939.7202,2875.62,2991.7803,2918.33,2970.25,2948.2002,2904.27,2934.0703,2814.7803,2860.8103,2692.32,2728.33,2519.05,2545.44,2300.85,2336.19,2078.76,2147.14,1910.99,2025.9099,1835.63,1981.23,1840.9199,1976.75,1872.53,1970.54,1878.07,1948.05,1845.94,1913.13,1798.47,1864.92,1756.29,1798.8501,1722.61,1727.3901,1703.1201,1690.39,1729.56,1736.3999,1842.72,1880.6199,2034.05,2072.96,2213.34,2217.4297,2262.0002,2236.4697,2127.7202,2118.94,1860.96,1911.6799,1566.7899,1679.07,1331.24,1471.12,1180.73,1312.63,1091.9,1209.5801,1037.21,1163.79,1023.29,1178.41,1079.06,1246.44,1207.73,1341.24,1366.72,1428.95,1502.2999,1492.02,1592.3099,1538.26,1649.22,1588.98,1694.3799,1659.49,1739.1199,1746.1199,1783.2799,1827.23,1819.3298,1876.22,1833.7898,1875.36,1811.4899,1823.74,1750.2499,1742.81,1675.6998,1676.2,1633.5898,1672.35,1659.7499,1755.82,1758.0599,1910.8,1904.35,2088.36,2060.83,2230.48,2186.91,2298.5898,2251.8098,2289.7998,2247.8398,2227.81,2190.99,2139.77,2107.8699,2043.7501,2020.4198,1950.5201,1935.82,1865.6902,1849.21,1792.9401,1764.44,1746.3601,1713.57,1756.43,1742.7999,1849.6,1868.3799,2015.8298,2049.5698,2198.2798,2209.5398,2318.3,2279.17,2318.42,2224.9297,2193.07,2055.5698,1985.89,1815.1799,1757.35,1561.25,1549.62,1339.9199,1376.25,1178.06,1237.25,1084.97,1134.51,1048.78,1070.79,1038.56,1041.24,1023.33997,1033.02,994.04004,1036.75,971.1,1058.5499,990.30994,1113.22,1068.23,1198.06,1175.3799,1280.72,1255.6699,1324.9401,1278.3799,1325.25,1261.27,1306.98,1242.0701,1295.5898,1239.9401,1294.46,1245.79,1290.97,1240.77,1278.8999,1224.1101,1272.4099,1222.6,1292.4,1260.6499,1337.87,1322.19,1382.9299,1364.29,1408.44,1371.78,1426.42,1377.04,1470.01,1424.53,1567.64,1531.78,1719.7,1675.1299,1881.5299,1793.9099,1974.44,1822.5798,1941.3301,1745.98,1804.1201,1623.2999,1655.8301,1543.58,1587.6702,1554.72,1624.2102,1636.78,1724.1401,1736.27,1831.27,1816.9,1917.72,1878.23,1983.01,1937.8799,2026.76,2008.9298,2039.06,2091.65,2020.6799,2168.92,1997.74,2203.79,2000.1599,2161.39,2025.4698,2049.7,2035.5298,1928.01,1996.75,1860.19,1921.3201,1863.6699,1860.8901,1907.9401,1855.1401,1948.0101,1891.09,1948.75,1915.5798,1891.8201,1879.46,1780.75,1770.16,1643.9402,1621.3899,1525.3002,1499.4199,1462.5602,1459.0598,1462.7902,1497.0199,1493.6901,1556.9099,1509.1399,1584.8899,1491.32,1569.25,1459,1526.16,1431.7999,1467.16,1402.82,1392.19,1354.9299,1307.94,1294.58,1246.28,1264.52,1256.88,1320.42,1365.41,1480.63,1534.8201,1694.7699,1685.3501,1878.4398,1762.31,1981.5398,1775.85,2008.2297,1777.28,1984.1799,1812.55,1938.7,1896.89,1915.47,2018.5801,1965.28,2162.87,2111.3398,2330.03,2325.26,2519.85,2539.52,2705,2688.2402,2842.39,2747.1702,2911.02,2745.4302,2920.71,2742.17,2890.17,2783.2998,2840.91,2872.43,2811.44,2986.1401,2849.62,3111.13,2972.1501,3246.25,3136.6,3369.04,3266.07,3427.05,3302.8499,3373.71,3233.7498,3203.0298,3074.6797,2950.6797,2853.4697,2673.7698,2611.0098,2427.5598,2397.5498,2247.0999,2250.6099,2141.82,2179.67,2105.56,2178.54,2130.5999,2241.5498,2208.8398,2352.2397,2318.2998,2466.02,2418.3098,2530.28,2472.67,2527.96,2479.46,2490.35,2470.9502,2468.9001,2485.52,2504.32,2545.34,2616.04,2656.95,2801.74,2820.5798,3036.63,3028.39,3277.7998,3251.71,3477.4702,3437.3699,3597.5303,3531.14,3620.4702,3519.97,3560.4502,3454.01,3468.08,3412.45,3406.41,3429.5098,3394.18,3447.7598,3365.0098,3353.3599,3207.94,3076.04,2876.54,2665.7002,2453.33,2262.2002,2084.62,1979.72,1853.7,1827.2799,1735.36,1742.83,1662.79,1676.88,1601.3799,1620.71,1550.71,1577.0599,1514.81,1543.51,1500.1101,1526.3201,1523.67,1543.2001,1595.56,1603.0402,1698.54,1695.3601,1802.4099,1802.27,1893.1799,1908.7,1974.0701,1998.8301,2043.4102,2056.1802,2087.7202,2075.5103,2098.5,2068.7502,2085.16,2053.81,2065.71,2040.69,2049.58,2030.5598,2035.5902,2023.0898,2023.5001,2019.6699,2018.5001,2021.65,2022.9601,2029.8901,2031.97,2045.73,2041.8198,2069.31,2057,2096.72,2082.51,2120.97,2112.67,2134.4,2130.09,2123.67,2107.54,2061.81,2011.42,1920.8701,1825.7501,1708.55,1586.5901,1484.6299,1376.37,1323.59,1268.02,1264.95,1281.8,1311.23,1399.91,1456.5701,1601.36,1688.0901,1862.72,1962.95,2135.46,2212.06,2350.9302,2378.4502,2462.47,2447.1401,2475.3901,2439.12,2426.1802,2383.6602,2338.84,2297.0103,2213.94,2183.61,2056.73,2052.95,1897.9099,1928.28,1776.9299,1834.6901,1710.8201,1780.99,1685.9401,1755.62,1677.38,1739.26,1671.7,1721.29,1672.1699,1705.5,1686.82,1700.72,1714.47,1706.5999,1741.19,1708.0499,1745.03,1680.3599,1701.5599,1599.32,1593.3699,1454.24,1425.74,1259.92,1231.7799,1056.25,1055.58,892.43,933.15,808.41,888.79,821.94995,931.11993,918.49,1036.99,1049.2101,1148.23,1151.27,1204.42,1185.28,1188.8,1160.05,1139.76,1121.64,1113.43,1116.3,1134.95,1157.2401,1184.29,1218.3601,1222.05,1258.2201,1225.05,1256.8901,1203.5499,1235.6702,1192.6199,1239.79,1225.1299,1296.4199,1303.44,1385.73,1392.5499,1454.45,1445.72,1463.71,1444.3401,1426.5801,1415.3201,1393.85,1405.4701,1399.1799,1433.3,1423.02,1465.3699,1414.23,1444.4398,1343.21,1345.3499,1231.36,1203.98,1131.6,1088.6099,1082.39,1041.72,1080.3401,1051.5698,1093.78,1076.3999,1094.98,1084.85,1076.73,1070.73,1047.08,1042.52,1016.72,1010.33997,990.04,980.03,965.24,953.04004,942.12,930.9201,925.41,918.1701,917.49,917.16003,913.46,923.02,909.13,929.31995,910.88,938.1699,933.02,962.0299,987,1017.0799,1075.93,1114.4999,1196.35,1252.7799,1338.6199,1413.63,1483.76,1564.7301,1605.1001,1671.42,1679.03,1713.8999,1696.24,1695.6199,1661.3201,1631.0099,1579.7,1524.7,1447.5801,1368.7799,1262.71,1165.7,1048.45,952.26,859.55,793.38995,756.19995,745.7299,770.25,823.8699,891.47,996.06995,1078.25,1206.87,1281.88,1407.89,1469.27,1577.42,1630.02,1716.89,1766.0901,1831.6399,1877.4801,1918.3398,1957.67,1969.8298,2000.01,1986.0898,2006.4601,1976.8799,1989.55,1955.1599,1965.1101,1930.52,1942.96,1908.68,1924.9799,1893.77,1910.6499,1888.97,1902.49,1896.84,1906.6299,1919.91,1928.99,1958.3601,1969.8301,2005.93,2021.2,2050.58,2069.85,2080.5898,2099.56,2085.4102,2086.19,2046.3401,1997.73,1937.25,1819.3701,1753.6499,1587.01,1540.5,1380.78,1372.76,1272.53,1305.02,1285.76,1351.0101,1407.4199,1503.0001,1617.1,1744.0801,1887.1702,2034.95,2165.7302,2309.14,2385.02,2500.0598,2499.8298,2578.13,2514.15,2562.29,2464.8,2494.71,2383.69,2403.3398,2282.6099,2291.38,2166.99,2160.76,2048.82,2031.96,1943.5801,1931.94,1862.8201,1871.27,1811.3699,1841.76,1787.34,1830.25,1784.1699,1827.48,1794.9099,1828.7999,1815.48,1833.72,1843.0499,1842.42,1869.3799,1846.24,1874.6399,1821.02,1829.9099,1736.6099,1713.1599,1583.0698,1532.7899,1392.3599,1336.82,1227.4,1188.31,1139.8201,1123.8,1136.77,1136.34,1188.89,1195.29,1262.59,1273.62,1339.1699,1356.6,1411.4501,1435.8099,1475.4601,1504.2998,1529.0701,1558.1898,1573.2699,1598.8398,1609.9998,1629.5999,1637.8499,1648.95,1650.3599,1649.31,1640.8899,1627.3301,1613.8298,1594.74,1591.54,1572.32,1602.1599,1572.64,1652.19,1596.56,1713.4099,1645.55,1746.7998,1722.77,1743.8398,1814.8601,1738.6,1884.66,1772.04,1897,1843.8201,1852.6099,1902,1786.4899,1880.69,1726.5198,1750.7,1660.6099,1543.1399,1556.9198,1330.24,1413.2998,1177.1299,1268.2999,1101.7898,1159.98,1075.7999,1092.01,1058.63,1045.39,1028.04,1005.70996,984.96,970.37,941.86,940.49,909.92,915.2,892.06995,892.91003,884.19995,874.96,880.89,864.79004,877.75,862.38,870.62,864.17004,859.52,871.62,855.29004,894.8401,876.32007,943.71,934.92004,1019.24994,1029.6499,1116.96,1150.6799,1234.3301,1285.3198,1367.3401,1415.0099,1495.68,1512.54,1576.4401,1547.9801,1565.55,1502.93,1459.6599,1392.18,1320.5698,1278.0801,1242.84]