[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,98.98954,90.98935,237.9921,236.9921,343.993958,432.995667,466.996155,745.0009,749.00116,860.0029,836.002563,1055.00659,1054.00659,1201.01,1383.01416,1486.0166,1588.0188,1529.01758,1784.02344,1933.02686,1979.02783,2133.03149,2288.03516,2266.03467,2255.03442,2538.041,2769.04517,2877.04248,2943.041,3041.03882,3155.03613,3263.03369,3386.03076,3430.02979,3655.02441,3513.02783,3846.02,3744.02246,3971.017,4157.01172,4019.016,4167.011,4306.005,4311.00439,4296.00537,4562.99268,4432.999,4601.99072,4613.99,4652.989,4685.987,4643.989,4848.97949,4733.985,4743.98438,4752.984,4898.977,4850.97949,4877.978,4978.97363,4883.978,5033.9707,4983.973,4922.976,5074.969,4956.97461,4921.976,5012.97168,4886.97754,4990.973,4950.97461,4866.97852,5050.97,4896.977,4923.976,4723.98535,4941.975,4764.9834,4788.98242,4851.97949,4666.988,4848.97949,4834.98,4860.979,4593.991,4551.993,4654.98828,4626.98975,4604.99072,4692.987,4516.995,4596.991,4543.99365,4544.99365,4436.99854,4344.003,4429.999,4304.005,4320.004,4216.009,4210.00928,4131.0127,4097.014,4177.01074,4227.0083,4080.01465,4093.0144,4021.016,4085.01465,3937.018,3949.01758,3863.01978,3934.018,3734.02271,3882.01929,3663.02441,3691.02368,3808.021,3655.02441,3573.02637,3613.02539,3583.02612,3579.02637,3622.02539,3516.02783,3454.029,3413.03,3468.02881,3348.03174,3398.03052,3315.03247,3336.032,3411.03027,3081.03784,3154.03613,3163.036,3141.03638,3220.03467,3205.035,3178.03564,3084.03784,3201.0354,3064.03833,3089.0376,3082.03784,3047.03857,2961.04053,2992.03979,3058.03833,3020.03931,2868.04272,2933.04126,2965.04053,2811.04419,2936.04126,2916.04175,2906.042,2857.043,2846.04321,2709.045,2754.04541,2672.044,2609.04248,2742.04565,2760.04517,2613.04272,2687.04443,2559.0415,2600.04224,2575.04175,2703.04468,2573.04175,2571.04175,2480.03955,2535.04077,2425.03833,2495.03979,2320.036,2365.03687,2289.03516,2298.0354,2232.03369,2294.03516,2193.033,2305.0354,2227.03369,2180.03271,2074.03,2135.03149,1981.02808,2032.029,1942.0271,1960.02759,1904.02612,2013.02881,1785.02344,1836.02466,1725.022,1662.02051,1713.02173,1547.01782,1716.02173,1581.0188,1580.0188,1652.02026,1525.01733,1543.01782,1468.01611,1503.01685,1376.01392,1280.01172,1313.01245,1381.01416,1337.013,1305.01221,1411.01465,1130.0083,1166.009,1192.00977,1026.00586,1032.00586,957.0046,1045.00635,1008.00549,1027.00586,949.004639,860.0029,844.0028,812.002258,856.0029,804.002,874.0031,793.001831,789.001648,707.0004,744.0009,613.9987,627.9989,592.998352,488.996521,471.996155,479.996338,487.996521,354.994141,494.996521,357.994141,298.993225,274.99292,300.993225,279.992859,287.993042,150.990509,186.9911,227.9919,38.9883957,110.989731,27.988205,90.98935,0.0,0.0,4.987822,41.9883957,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,39.9883957,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,4.987822,0.0,0.0,0.0,0.0,0.0,0.0,2.98780656,0.0,44.98857,0.0,0.0,0.0,0.0,12.988059,0.0,0.0,0.0,0.0,0.0,0.0,27.988205,18.9880142,0.0,18.9880142,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,24.988205,0.0,0.0,0.0,0.0,38.9883957,0.0,31.98845,0.0,0.0,0.0,0.0,0.0,0.9878753,53.98883,4.987822,34.9883957,42.98864,0.0,106.989777,78.98916,2.98780656,0.0,138.990356,86.9893341,0.0,0.0,0.0,152.990509,146.990311,45.9885864,144.990311,136.990112,218.9917,230.9919,148.990555,261.9925,145.990311,295.9933,237.9921,173.9909,227.9919,209.9915,245.9923,316.993652,301.993225,332.993774,245.9923,299.993225,331.993774,375.9945,264.992737,359.9944,294.993042,369.994568,367.994324,374.9945,329.993774,348.9942,311.9934,341.993958,344.993958,404.995056,437.9956,459.995972,468.996155,438.9956,370.994568,471.996155,455.995972,380.994751,518.9971,454.996033,380.994751,511.9969,474.9964,446.9958,486.996582,587.998169,480.996338,489.996521,537.9975,509.9969,514.9969,511.9969,612.9988,536.997253,479.996338,545.997437,523.9971,564.9978,511.9969,465.996155,542.997437,505.996948,572.998,532.997253,578.998,544.997437,548.9977,612.9988,557.9976,607.998535,560.9978,630.9989,593.998352,572.998,549.9977,665.9997,631.999146,582.998169,624.9989,618.9987,665.9997,589.9984,656.999451,718.0006,639.9991,767.0013,693.0,681.9998,691.0,710.000366,776.001465,603.998535,718.0006,765.0013,753.0011,787.001648,719.000549,711.000366,718.0006,790.0019,765.0013,666.999634,781.0017,855.003,767.0013,873.0031,799.001831,735.000732,863.0029,787.001648,887.00354,782.001648,867.0031,845.0028,867.0031,825.0024,836.002563,866.0032,801.0021,945.0044,1004.00549,965.004761,946.0044,871.0031,933.0042,858.0029,892.0035,877.0033,971.005,954.0046,909.003845,912.003845,1001.00555,1025.00586,1089.00732,956.0046,909.003845,1103.00757,1046.00635,1013.00574,1145.00854,1035.0061,1173.00928,1039.0061,1096.00757,1123.008,1082.00708,1154.00879,1030.00586,1054.00659,1116.00781,1118.008,1229.0105,1132.0083,1126.008,1131.0083,1103.00757,1148.00879,1239.01074,1261.01123,1191.00977,1150.00879,1246.011,1320.0127,1288.012,1338.01318,1235.01074,1254.01123,1220.01025,1403.01465,1355.01343,1352.01343,1346.01318,1319.0127,1260.01123,1367.01367,1403.01465,1480.01636,1364.01367,1454.01587,1555.01807,1408.01465,1488.0166,1425.01514,1433.01538,1462.01587,1503.01685,1497.01685,1387.01416,1517.01733,1569.01831,1513.01709,1507.01709,1480.01636,1536.01758,1576.01855,1545.01782,1629.01978,1562.01831,1541.01782,1591.019,1642.02,1584.0188,1638.02,1601.01929,1582.0188,1588.0188,1588.0188,1572.01855,1692.02124,1569.01831,1637.02,1615.01953,1769.023,1670.02075,1680.021,1706.02173,1665.02075,1711.02173,1802.02393,1726.022,1695.02124,1811.02393,1816.02417,1757.02271,1734.02222,1747.02246,1814.02417,1728.02222,1739.02246,1692.02124,1882.02563,1813.02417,1837.02466,1794.02368,1861.02515,1834.02466,1770.02319,1824.02441,1917.02661,1824.02441,1920.02661,1907.02637,1803.02393,1928.02686,1888.02588,1885.02588,1877.02563,1956.02734,1894.02588,1882.02563,2028.029,1908.02637,1891.02588,1934.02686,1941.0271,1924.02661,1891.02588,1944.0271,1937.02686,2017.02881,1968.02759,1939.0271,1842.02466,2039.0293,2064.03,2018.02881,2130.03149,1994.02832,2099.03076,2045.02954,2050.02954,1989.02808,1989.02808,2022.029,1906.02637,1918.02661,2172.03247,2083.03027,1928.02686,2066.03,2045.02954,2064.03,2033.0293,1955.02734,2108.031,2120.03125,2119.03125,1894.02588,1973.02783,2113.031,1912.02637,1989.02808,2040.0293,1995.02832,2095.03052,1995.02832,2145.03174,1938.0271,2167.03223,2018.02881,1996.02832,2161.03223,2083.03027,2012.02881,1951.02734,2021.02881,1999.02832,2098.03076,2005.02856,2027.029,1971.02783,2012.02881,2116.031,2002.02856,2145.03174,2062.02979,1911.02637,2026.029,2107.031,1965.02759,2013.02881,1966.02759,1935.02686,1988.02808,1892.02588,1959.02759,2006.02856,2013.02881,1919.02661,1762.023,1975.02783,1976.02783,1940.0271,1825.02441,1923.02661,1745.02246,1938.0271,1692.02124,1860.02515,1682.021,1756.02271,1768.023,1639.02,1642.02,1819.02417,1655.02051,1656.02051,1687.02124,1745.02246,1695.02124,1601.01929,1720.022,1579.01855,1726.022,1752.02271,1556.01807,1626.01978,1676.021,1712.02173,1653.02026,1687.02124,1720.022,1740.02246,1810.02393,1734.02222,1653.02026,1756.02271,1824.02441,1777.02319,1754.02271,1878.02563,1871.02539,1938.0271,1951.02734,1828.02441,1948.0271,1942.0271,1948.0271,1983.02808,2067.03,1959.02759,2037.0293,2055.02979,2038.0293,2068.03,1995.02832,2127.03125,2129.03149,2066.03,2161.03223,2127.03125,2173.03247,2177.03247,2169.03223,2246.03418,2190.03271,2160.03223,2188.03271,2242.034,2184.03271,2137.03149,2224.03369,2270.03467,2269.03467,2014.02881,2246.03418,2133.03149,2081.03027,2137.03149,2129.03149,2164.03223,2271.03467,2227.03369,2069.03,2077.03027,2187.03271,2085.03052,2198.033,2099.03076,2176.03247,2142.03174,1991.02832,2008.02856,2057.02979,1910.02637,2022.029,1956.02734,1945.0271,1958.02734,1975.02783,1926.02661,1936.02686,1864.02539,1834.02466,1814.02417,1793.02368,1766.023,1896.02612,1778.02319,1773.02319,1724.022,1690.02124,1772.02319,1620.01953,1613.01953,1717.022,1578.01855,1615.01953,1702.02148,1630.01978,1527.01758,1607.01929,1516.01709,1531.01758,1523.01733,1501.01685,1360.01367,1400.0144,1321.0127,1398.0144,1426.01514,1395.0144,1436.01538,1458.01587,1261.01123,1259.01123,1348.01343,1337.013,1296.01221,1113.00781,1221.01025,1212.01025,1204.01,1132.0083,1236.01074,1117.008,1109.00781,1051.00635,1032.00586,1122.008,1050.00635,1014.00568,982.0051,979.004944,973.004944,975.004944,960.0048,962.004761,734.000732,888.0035,844.0028,853.002747,796.001831,664.9997,760.001343,713.000366,737.000732,744.0009,739.001,730.000732,630.9989,605.998535,690.0,547.9977,608.998535,631.999146,595.998352,592.998352,589.9984,529.997253,524.9971,444.9958,488.996521,475.9964,412.9953,380.994751,377.9945,342.993958,324.9936,360.994324,360.994324,329.993774,385.9947,314.9934,180.99115,302.993225,181.991089,295.9933,349.9942,246.9923,158.990753,112.989731,75.9892044,93.98935,128.990158,30.988205,130.990112,37.9883957,46.9885864,36.9883957,32.98845,29.988205,0.0,6.987823,4.987822,12.988059,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0]