[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,13.8048925,68.80586,214.8086,206.8084,353.811035,352.811035,459.812866,548.8146,582.815063,860.8198,864.820068,975.821838,951.8215,1170.82617,1169.82617,1316.82959,1498.83374,1601.83618,1703.83838,1644.83716,1899.843,2048.84644,2094.84741,2248.851,2403.85474,2381.85425,2370.854,2653.8606,2884.86475,2992.862,3058.8606,3156.8584,3270.85571,3378.85327,3501.85034,3545.84937,3770.844,3628.84741,3961.8396,3859.842,4086.83667,4272.82861,4134.835,4282.828,4421.822,4426.82129,4411.82227,4678.80957,4548.816,4717.80762,4729.807,4768.80566,4801.80371,4759.80566,4964.79639,4849.802,4859.80127,4868.801,5014.794,4966.79639,4993.795,5094.79053,4999.795,5149.7876,5099.79,5038.793,5190.786,5072.7915,5037.793,5128.78857,5002.79443,5106.79,5066.7915,4982.79541,5166.787,5012.794,5039.793,4839.80225,5057.792,4880.80029,4904.79932,4967.79639,4782.80469,4964.79639,4950.797,4976.796,4709.808,4667.81,4770.805,4742.80664,4720.80762,4808.80371,4632.812,4712.808,4659.81055,4660.81055,4552.81543,4459.82,4545.816,4419.822,4435.821,4331.82568,4325.826,4246.82959,4212.831,4292.82764,4342.825,4195.832,4208.83154,4136.835,4200.832,4052.83765,4064.83716,3978.83936,4049.83765,3849.84229,3997.83887,3778.844,3806.84326,3923.84058,3770.844,3688.846,3728.845,3698.8457,3694.846,3737.845,3631.84741,3569.84863,3528.84961,3583.84839,3463.85132,3513.85,3430.852,3451.85156,3526.84985,3196.85742,3269.85571,3278.85547,3256.856,3335.85425,3320.85449,3293.85522,3199.85742,3316.855,3179.858,3204.85718,3197.85742,3162.85815,3076.86,3107.85938,3173.858,3135.859,2983.8623,3048.86084,3080.86,2926.86377,3051.86084,3031.86133,3021.86157,2972.86255,2961.86279,2824.8645,2869.865,2787.86353,2724.862,2857.86523,2875.86475,2728.8623,2802.864,2674.861,2715.86182,2690.86133,2818.86426,2688.86133,2686.86133,2595.85913,2650.86035,2540.858,2610.85938,2435.85547,2480.85645,2404.85474,2413.855,2347.85327,2409.85474,2308.85254,2420.855,2342.85327,2295.85229,2189.84961,2250.851,2096.84766,2147.84863,2057.84668,2075.84717,2019.8457,2128.84839,1900.843,1951.84424,1840.84155,1777.84009,1828.84131,1662.8374,1831.84131,1696.83838,1695.83838,1767.83984,1640.83691,1658.8374,1583.83569,1618.83643,1491.8335,1395.8313,1428.832,1496.83374,1452.83252,1420.83179,1526.83423,1245.82788,1281.82861,1307.82935,1141.82544,1147.82544,1072.82373,1160.82593,1123.825,1142.82544,1064.82373,975.821838,959.8217,927.821167,971.821838,919.8209,989.822,908.82074,904.820557,822.819336,859.8198,729.8176,743.8178,708.817261,604.8154,587.815063,595.815247,603.8154,470.813049,610.8154,473.813049,414.812134,390.811829,416.812134,395.811768,403.811951,266.80957,302.81012,343.810852,154.8074,226.808792,143.8072,206.8084,86.80629,46.80548,120.806816,157.8074,56.80567,0.0,64.8059158,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,12.8049536,35.80529,0.0,56.80567,76.80604,0.0,86.80629,0.0,0.0,78.80605,49.80548,43.8055267,5.80471754,33.805336,155.8074,30.8051,36.80529,0.0,79.80605,34.805275,0.0,77.80605,74.80611,37.80529,27.8051,120.806816,10.8049612,104.806435,60.80567,72.80586,66.80586,109.806625,118.8068,0.0,160.807587,28.8051,57.80567,38.80529,109.806625,128.807053,115.806625,82.80605,72.80586,34.805275,41.80529,74.80611,143.8072,134.807,0.0,134.807,115.806625,46.80548,52.80548,44.8054657,75.8061,73.80586,73.80586,30.8051,43.8055267,107.806671,140.8072,55.8056564,47.80548,51.80548,46.80548,154.8074,83.80605,147.807449,74.80611,104.806435,104.806435,85.8063,89.8062439,116.80687,169.807846,120.806816,150.8074,158.807648,0.0,222.808838,194.8082,118.8068,0.0,254.809433,202.80838,0.0,109.806625,48.80548,268.80957,262.8094,161.8076,260.8094,252.809189,334.810669,346.810852,264.809631,377.8114,261.8094,411.8122,353.811035,289.809937,343.810852,325.8105,361.811218,432.812561,417.812134,448.812683,361.811218,415.812134,447.812683,491.813416,380.811646,475.8133,410.811951,485.813477,483.813232,490.813416,445.812683,464.8131,427.812317,457.812866,460.812866,520.813965,553.8145,575.8149,584.815063,554.8145,486.813477,587.815063,571.8149,496.81366,634.816,570.814941,496.81366,627.8158,590.8153,562.8147,602.8155,703.8171,596.815247,605.8154,653.8164,625.8158,630.8158,627.8158,728.8177,652.816162,595.815247,661.816345,639.816,680.8167,627.8158,581.815063,658.816345,621.815857,688.8169,648.816162,694.8169,660.816345,664.8166,728.8177,673.8165,723.817444,676.8167,746.8178,709.817261,688.8169,665.8166,781.8186,747.818054,698.8171,740.8178,734.8176,781.8186,705.8173,772.818359,833.8195,755.818,882.8202,808.8189,797.8187,806.8189,825.8193,891.8204,719.817444,833.8195,880.8202,868.82,902.820557,834.819458,826.8193,833.8195,905.8208,880.8202,782.818542,896.8206,970.8219,882.8202,988.822,914.82074,850.819641,978.821838,902.820557,1002.82245,897.820557,982.822,960.8217,982.822,940.8213,951.8215,981.8221,916.821,1060.82349,1119.825,1080.824,1061.82349,986.822,1048.82324,973.821838,1007.82239,992.8222,1086.82422,1069.82373,1024.82275,1027.82275,1116.825,1140.82544,1204.8269,1071.82373,1024.82275,1218.82715,1161.82593,1128.8252,1260.82813,1150.82568,1288.82886,1154.82568,1211.82715,1238.82764,1197.82666,1269.82837,1145.82544,1169.82617,1231.82739,1233.82764,1344.83008,1247.82788,1241.82764,1246.82788,1218.82715,1263.82837,1354.83032,1376.83081,1306.82935,1265.82837,1361.83057,1435.83228,1403.83154,1453.83276,1350.83032,1369.83081,1335.82983,1518.83423,1470.833,1467.833,1461.83276,1434.83228,1375.83081,1482.83325,1518.83423,1595.83594,1479.83325,1569.83545,1670.83765,1523.83423,1603.83618,1540.83472,1548.835,1577.83545,1618.83643,1612.83643,1502.83374,1632.83691,1684.83789,1628.83667,1622.83667,1595.83594,1651.83716,1691.83813,1660.8374,1744.83936,1677.83789,1656.8374,1706.83862,1757.8396,1699.83838,1753.8396,1716.83887,1697.83838,1703.83838,1703.83838,1687.83813,1807.84082,1684.83789,1752.8396,1730.83911,1884.84253,1785.84033,1795.84058,1821.84131,1780.84033,1826.84131,1917.84351,1841.84155,1810.84082,1926.84351,1931.84375,1872.84229,1849.8418,1862.842,1929.84375,1843.8418,1854.842,1807.84082,1997.84521,1928.84375,1952.84424,1909.84326,1976.84473,1949.84424,1885.84277,1939.844,2032.84619,1939.844,2035.84619,2022.846,1918.84351,2043.84644,2003.84546,2000.84546,1992.84521,2071.847,2009.84546,1997.84521,2143.84863,2023.846,2006.84546,2049.84644,2056.84668,2039.84619,2006.84546,2059.84668,2052.84644,2132.84839,2083.84717,2054.84668,1957.84424,2154.84888,2179.84961,2133.84839,2245.851,2109.848,2214.85034,2160.849,2165.849,2104.84766,2104.84766,2137.84863,2021.846,2033.84619,2287.852,2198.84985,2043.84644,2181.84961,2160.849,2179.84961,2148.84888,2070.847,2223.85059,2235.85083,2234.85083,2009.84546,2088.84741,2228.85059,2027.846,2104.84766,2155.84888,2110.848,2210.85,2110.848,2260.85132,2053.84668,2282.85181,2133.84839,2111.848,2276.85181,2198.84985,2127.84839,2066.847,2136.84839,2114.848,2213.85034,2120.84814,2142.84863,2086.84741,2127.84839,2231.85059,2117.84814,2260.85132,2177.84937,2026.846,2141.84863,2222.85059,2080.84717,2128.84839,2081.84717,2050.84644,2103.84766,2007.84546,2074.84717,2121.84814,2128.84839,2034.84619,1877.84253,2090.84741,2091.84741,2055.84668,1940.844,2038.84619,1860.842,2053.84668,1807.84082,1975.84473,1797.84058,1871.84229,1883.84253,1754.8396,1757.8396,1934.84375,1770.84009,1771.84009,1802.84082,1860.842,1810.84082,1716.83887,1835.84155,1694.83813,1841.84155,1867.84229,1671.83765,1741.83936,1791.84058,1827.84131,1768.83984,1802.84082,1835.84155,1855.842,1925.84351,1849.8418,1768.83984,1871.84229,1939.844,1892.84277,1869.84229,1993.84521,1986.845,2053.84668,2066.847,1943.844,2063.84668,2057.84668,2063.84668,2098.84766,2182.84961,2074.84717,2152.84888,2170.84937,2153.84888,2183.84961,2110.848,2242.85083,2244.851,2181.84961,2276.85181,2242.85083,2288.852,2292.852,2284.85181,2361.85376,2305.85229,2275.85181,2303.85229,2357.85352,2299.85229,2252.851,2339.85327,2385.85425,2384.85425,2129.84839,2361.85376,2248.851,2196.84985,2252.851,2244.851,2279.85181,2386.85425,2342.85327,2184.84961,2192.84985,2302.85229,2200.85,2313.85254,2214.85034,2291.852,2257.85132,2106.848,2123.84814,2172.84937,2025.846,2137.84863,2071.847,2060.84668,2073.847,2090.84741,2041.84619,2051.84644,1979.845,1949.84424,1929.84375,1908.84326,1881.84253,2011.8457,1893.84277,1888.84277,1839.84155,1805.84082,1887.84277,1735.83911,1728.83911,1832.84155,1693.83813,1730.83911,1817.84106,1745.83936,1642.83716,1722.83887,1631.83667,1646.83716,1638.83691,1616.83643,1475.83325,1515.834,1436.83228,1513.834,1541.83472,1510.834,1551.835,1573.83545,1376.83081,1374.83081,1463.833,1452.83252,1411.83179,1228.82739,1336.82983,1327.82983,1319.82959,1247.82788,1351.83032,1232.82764,1224.82739,1166.82593,1147.82544,1237.82764,1165.82593,1129.8252,1097.82446,1094.82422,1088.82422,1090.82422,1075.824,1077.824,849.819641,1003.82239,959.8217,968.821655,911.82074,780.8186,875.820251,828.8193,852.819641,859.8198,854.8199,845.819641,746.8178,721.817444,805.8189,663.8166,724.817444,747.818054,711.817261,708.817261,705.8173,645.816162,640.816,560.8147,604.8154,591.8153,528.8142,496.81366,493.813416,458.812866,440.8125,476.813232,476.813232,445.812683,501.8136,430.812317,296.810181,418.812134,297.81012,411.8122,465.8131,362.811218,274.8098,228.808792,191.808243,209.8084,244.809235,146.8072,246.809189,153.8074,162.8076,152.8074,148.807449,145.8072,43.8055267,122.806816,120.806816,128.807053,42.8055344,78.80605,46.80548,19.8049088,1.80476213,0.0,20.8049088,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0]