{"schema":"history/1","ticker":"HUT","first":"2018-03-08","last":"2025-12-31","gaps":[1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,4,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,4,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,2,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,4,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,2,3,1,1,1,1,3,1,2,1,3,1,1,1,1,3,1,1,1,1,3,2,1,1,3,2,1,1,3,1,1,1,1,3,1,1,1,1,4,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,4,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,4,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,4,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,2,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,4,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,2,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,2,1,3,1,2,1,3,1,1,1,1,3,1,1,1,1,4,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,4,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,4,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,4,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,4,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,4,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,2,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,4,1,1,1,4,1,1,1,1,3,1,1,1,1,4,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,4,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,4,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,4,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,4,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,4,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,2,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,4,1,1,1,1,3,1,1,1,1,3,1,1,1,1,4,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,4,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,4,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,4,1,1,1,3,1,1,1,1,3,1,1,1,1,4,1,1,1,3,1,1,1,1,4,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,4,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,2,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,4,1,1,1,4,1,1,1,3,1,1,1,1,4,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,4,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,4,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,4,1,1,1,3,1,1,1,1,3,1,1,1,1,4,1,1,1,3,1,1,1,1,3,2,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,4,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,2,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,4,1,1,1,4,1,1,1,3,1,1,1,1,4,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,4,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,4,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,4,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,2,1,3,1,1,1,1,3,1,1,2,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,4,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,2,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,2,1,3,1,2,1,3,1,1,2,3,1,1,1,1,4,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,4,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,4,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,4,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,2,3,1,1,1,1,3,1,1,1,4,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,4,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,2,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,2,3,1,1],"tr":[0.3914889,0.3838703,0.3650414,0.3405529,0.3233566,0.3281454,0.3243361,0.3178058,0.3178058,0.304963,0.304963,0.2982151,0.2778624,0.2800392,0.2800392,0.2780801,0.2780801,0.2780801,0.2780801,0.2780801,0.297562,0.297562,0.297562,0.297562,0.3116021,0.3116021,0.3111667,0.3111667,0.3155202,0.3166086,0.3265128,0.3439269,0.3677623,0.3732042,0.3803875,0.3767958,0.3642795,0.3395734,0.3314105,0.3498041,0.3373966,0.3328254,0.3328254,0.3134523,0.3308663,0.3308663,0.3401175,0.3323901,0.3398999,0.3395734,0.3395734,0.3395734,0.3406617,0.3373966,0.3280366,0.3356552,0.3390292,0.3373966,0.3348933,0.3341315,0.3363082,0.3199826,0.3090988,0.2993034,0.2995211,0.2776448,0.2735089,0.2777536,0.2732912,0.2732912,0.2677405,0.2531563,0.2601219,0.2601219,0.2568568,0.2481498,0.2618633,0.2443404,0.245973,0.245973,0.245973,0.2607749,0.2615368,0.2602307,0.2749238,0.2749238,0.2260557,0.2122333,0.2078798,0.2144101,0.2256204,0.2525033,0.2503265,0.2492381,0.25468,0.2731824,0.2840662,0.2905964,0.2949499,0.2829778,0.2416195,0.2350892,0.2334567,0.2296474,0.2503265,0.2340009,0.2296474,0.2362865,0.2348716,0.2304092,0.219852,0.2343274,0.2250762,0.2242055,0.2370483,0.245973,0.25468,0.2644754,0.2600131,0.255333,0.2643666,0.2718764,0.2851545,0.2927732,0.3014802,0.2971267,0.2933174,0.2933174,0.266761,0.25468,0.2575098,0.2525033,0.2556596,0.25468,0.2562037,0.2557684,0.2557684,0.2557684,0.2501088,0.2437963,0.2481498,0.2503265,0.24064,0.24064,0.2654549,0.2682847,0.2786243,0.2763387,0.2763387,0.2742708,0.2780801,0.2644754,0.2644754,0.2575098,0.2531563,0.2468437,0.2498912,0.2498912,0.2394428,0.2402046,0.2375925,0.2337832,0.241293,0.2394428,0.2394428,0.2368306,0.237266,0.2274706,0.2217022,0.2374837,0.2427079,0.2423814,0.2423814,0.2436874,0.2303004,0.2122333,0.2057031,0.2098389,0.2057031,0.1926426,0.1959077,0.1634741,0.1431215,0.1422508,0.1567262,0.1390945,0.1491075,0.1523727,0.1404005,0.136047,0.1378973,0.1363735,0.1208098,0.115259,0.1088376,0.105246,0.09523291,0.1057902,0.09218546,0.1042664,0.1082934,0.1088376,0.1088376,0.1088376,0.1088376,0.1138441,0.1138441,0.1408359,0.1408359,0.1414889,0.1349586,0.1349586,0.1349586,0.1349586,0.1349586,0.1390945,0.1503047,0.1503047,0.1578145,0.1418154,0.1418154,0.1418154,0.1418154,0.1418154,0.144754,0.1466043,0.1413801,0.1284284,0.1284284,0.1284284,0.1289726,0.1197214,0.1208098,0.1077492,0.1153679,0.1142795,0.1110144,0.09686548,0.1142795,0.1088376,0.1042664,0.1038311,0.09991293,0.09991293,0.1088376,0.1069874,0.1060078,0.109926,0.1110144,0.1044841,0.1033957,0.1023074,0.1000218,0.09828037,0.09904223,0.09904223,0.09904223,0.0983892,0.0966478,0.09730083,0.08924684,0.08500218,0.08010448,0.07542447,0.07335655,0.06519373,0.07128864,0.06835002,0.08609055,0.0940357,0.08206356,0.08815847,0.09283848,0.0914236,0.1130823,0.1039399,0.1150414,0.1061167,0.1142795,0.1124293,0.118633,0.1240749,0.1316935,0.1214628,0.1296256,0.1144972,0.1153679,0.1284284,0.1197214,0.1184153,0.1221158,0.1240749,0.12734,0.1229865,0.1218981,0.1306051,0.1725076,0.174249,0.1839356,0.1719634,0.1541141,0.1632564,0.1882891,0.1882891,0.1850239,0.1948193,0.2070091,0.1977579,0.1926426,0.1839356,0.1814323,0.1501959,0.1638006,0.1589029,0.1794732,0.1708751,0.1610797,0.1806704,0.18633,0.1959077,0.2097301,0.1904658,0.1936221,0.2232259,0.2178929,0.2176752,0.2165869,0.2427079,0.2116892,0.2242055,0.2146278,0.2001524,0.2089682,0.2042882,0.219199,0.219852,0.2121245,0.1978668,0.2089682,0.2039617,0.1851328,0.1872007,0.18633,0.1954724,0.1855681,0.1741402,0.1739225,0.1831737,0.1794732,0.1739225,0.1795821,0.193731,0.2014584,0.2165869,0.2122333,0.2194166,0.219852,0.208424,0.2098389,0.1942751,0.180997,0.1927514,0.1904658,0.2051589,0.2067915,0.2013496,0.1909012,0.1926426,0.1957989,0.1893774,0.1904658,0.1833914,0.1861123,0.1867653,0.1898128,0.1878537,0.1936221,0.1931868,0.1905747,0.1915542,0.1866565,0.1845886,0.1741402,0.1762081,0.1770788,0.1730518,0.1686983,0.1716369,0.1630387,0.1598825,0.1727253,0.1725076,0.1774053,0.1745755,0.1752286,0.1665215,0.1714192,0.1719634,0.1839356,0.1780583,0.1812146,0.1784937,0.1820853,0.1866565,0.1752286,0.1686983,0.1654332,0.1523727,0.1545494,0.1589029,0.1306051,0.1295168,0.1545494,0.1697867,0.1632564,0.153461,0.1512843,0.1469308,0.1545494,0.1545494,0.156182,0.1458424,0.138768,0.1297344,0.1306051,0.1316935,0.1338703,0.135394,0.1311493,0.1321289,0.1327819,0.1284284,0.1251633,0.1142795,0.1142795,0.1044841,0.1087288,0.1050283,0.1028515,0.09675664,0.09468872,0.09414454,0.09599478,0.09185895,0.09098825,0.09523291,0.101872,0.09436221,0.0873966,0.09022638,0.08859382,0.08598172,0.08598172,0.08804963,0.09773618,0.0821724,0.08609055,0.08532869,0.08717893,0.08870266,0.1001306,0.1153679,0.1247279,0.1140618,0.118633,0.1142795,0.1295168,0.1344145,0.1327819,0.139421,0.1338703,0.1371354,0.1327819,0.1338703,0.1382238,0.1312582,0.1327819,0.1229865,0.1033957,0.09468872,0.08761428,0.1070962,0.109926,0.113953,0.1218981,0.1512843,0.1719634,0.1464954,0.1469308,0.1338703,0.1164562,0.1023074,0.1142795,0.1062255,0.09893339,0.09360035,0.09686548,0.09795385,0.1023074,0.09784502,0.09686548,0.1121027,0.09468872,0.08489334,0.08630823,0.07727471,0.05877231,0.05528951,0.04680017,0.04788855,0.04418807,0.054963,0.06007836,0.05071833,0.05289508,0.05441881,0.05713975,0.05224205,0.05278624,0.05605137,0.04680017,0.05975185,0.05790161,0.06911189,0.06747932,0.06225512,0.05986069,0.050936,0.05343927,0.0500653,0.05115368,0.07041794,0.07183283,0.0746626,0.0729212,0.07400958,0.06998259,0.06965607,0.06889421,0.07183283,0.06617327,0.06367,0.06421419,0.06639094,0.0914236,0.1197214,0.1251633,0.1001306,0.1011101,0.09479756,0.1148237,0.1077492,0.1183065,0.1197214,0.1240749,0.1238572,0.1262516,0.1164562,0.1229865,0.1316935,0.1371354,0.1458424,0.153461,0.144754,0.1459512,0.1436657,0.1393121,0.1367,0.1306051,0.1055725,0.1140618,0.1156944,0.1100348,0.1131911,0.1077492,0.1088376,0.1067697,0.1017632,0.09795385,0.08913801,0.08162821,0.08010448,0.08358729,0.09588594,0.08707009,0.08946452,0.08707009,0.09947758,0.09185895,0.09000871,0.09033522,0.09686548,0.0957771,0.09098825,0.08815847,0.09000871,0.08761428,0.08815847,0.09305616,0.08815847,0.1197214,0.1123204,0.1131911,0.1008925,0.09501524,0.1023074,0.1023074,0.1082934,0.102525,0.09784502,0.09991293,0.09033522,0.09457989,0.09360035,0.09893339,0.1031781,0.09991293,0.09784502,0.09795385,0.09468872,0.09436221,0.08609055,0.08707009,0.08489334,0.08815847,0.08924684,0.09196778,0.08913801,0.0839138,0.08195472,0.07858076,0.07836308,0.07945146,0.07836308,0.08184589,0.0830431,0.08195472,0.07890727,0.07444493,0.07303004,0.06911189,0.0711798,0.07346539,0.07618633,0.08162821,0.07945146,0.08053983,0.07803657,0.07945146,0.08053983,0.07890727,0.07901611,0.080431,0.08434915,0.08707009,0.08445799,0.08380496,0.08326077,0.08380496,0.0839138,0.08707009,0.0966478,0.09795385,0.09327384,0.09011754,0.09708315,0.08761428,0.09555943,0.1048106,0.1033957,0.1038311,0.1056813,0.1131911,0.1066609,0.1044841,0.0966478,0.1044841,0.101219,0.09643013,0.09806269,0.1137353,0.1002394,0.1068785,0.1063343,0.1196125,0.1284284,0.1377884,0.1175446,0.1567262,0.1436657,0.1436657,0.1491075,0.1414889,0.1393121,0.1316935,0.1316935,0.1393121,0.1262516,0.1312582,0.1458424,0.1752286,0.2145189,0.2165869,0.2873313,0.3417501,0.2753592,0.2764475,0.3482804,0.321071,0.3167175,0.2993034,0.3318459,0.3371789,0.335111,0.4526556,0.6954724,0.5384197,0.5539835,0.5500653,0.5724859,0.5267741,0.518067,0.4549412,0.4037875,0.4592947,0.4342621,0.4255551,0.3787549,0.4299086,0.4135829,0.4145625,0.4494993,0.4600566,0.4582064,0.4614715,0.5637788,0.7183283,0.6269047,0.6835002,0.7596865,0.7520679,0.800283,0.7923378,0.928929,1.130823,0.8892033,1.017632,0.8979103,0.8576404,0.9849804,0.9123857,0.9120592,0.7923378,0.7618633,0.7930997,0.9120592,0.8946452,0.9033522,0.8957336,0.966478,0.8932303,0.9425337,0.9033522,0.9196778,0.8728777,0.8133435,0.7760122,0.7651284,0.7792773,0.7488028,0.7851545,0.8243361,0.856552,0.8815847,0.8162821,0.7411842,0.7890727,0.7526121,0.7771006,0.7585982,0.7128864,0.6932956,0.6519373,0.5870701,0.6160209,0.6138441,0.5745538,0.5735742,0.6612973,0.619286,0.6584676,0.5996953,0.593165,0.584458,0.5452764,0.5452764,0.5151284,0.5561602,0.5191554,0.5060949,0.5365694,0.4625599,0.5017414,0.4516761,0.4538529,0.4328472,0.448411,0.430997,0.4560296,0.4610361,0.4712669,0.4941228,0.4429691,0.4378537,0.4620157,0.4405747,0.4288202,0.4244667,0.4265346,0.4413365,0.5485416,0.4432956,0.4731171,0.4669134,0.4320853,0.4179364,0.4081411,0.3896387,0.3874619,0.3929038,0.4179364,0.4016108,0.4092294,0.4277318,0.4788855,0.5158903,0.5616021,0.593165,0.5648672,0.5278624,0.5267741,0.5354811,0.4886809,0.4603831,0.4462342,0.4288202,0.4016108,0.4201132,0.4592947,0.4527645,0.4451458,0.5376578,0.4908576,0.4930344,0.4930344,0.5148019,0.5191554,0.5256857,0.5692207,0.584458,0.6443187,0.6998259,0.6835002,0.7683936,0.7150631,0.7139747,0.7183283,0.6432303,0.6573792,0.6726165,0.7194166,0.7531563,0.7270353,0.7662168,0.7335655,0.8424031,0.9011754,0.8554636,0.8826731,0.9719199,1.161297,1.09273,1.115586,1.122116,1.063343,1.049195,1.128646,0.9545059,0.9904223,0.9675664,0.8521985,0.8402264,0.940357,0.9653896,0.914236,0.9468872,0.8772312,0.8500218,0.914236,1.008925,1.045929,1.122116,1.100348,1.068785,1.135176,1.164562,1.09926,1.177623,1.149325,1.329996,1.302786,1.304963,1.344145,1.272312,1.213539,1.420331,1.406182,1.309316,1.327819,1.458424,1.530257,1.683718,1.668481,1.599913,1.580322,1.730518,1.676099,1.533522,1.543317,1.663039,1.592294,1.512843,1.468219,1.362647,1.438833,1.350675,1.380061,1.362647,1.326731,1.38768,1.311493,1.282107,1.141707,1.019808,1.000218,1.093818,1.082934,0.9828037,0.9555943,0.8870266,0.8826731,0.9392686,0.8663474,0.8489334,0.8173705,0.8902917,0.8859382,0.9523291,0.9588594,0.8380496,0.8326077,0.8402264,0.8543753,0.8456683,0.8815847,0.7727471,0.7455377,0.7194166,0.7194166,0.7390074,0.7531563,0.703091,0.720505,0.6726165,0.6606443,0.6780583,0.584458,0.5877231,0.5964301,0.6269047,0.5572486,0.6007836,0.6464954,0.7052677,0.6628211,0.6290814,0.7063561,0.7814541,0.7999565,0.8511101,0.8315194,0.7760122,0.7498912,0.8032216,0.7814541,0.6954724,0.6464954,0.6160209,0.5866347,0.6214628,0.6247279,0.6649978,0.6649978,0.6758816,0.619286,0.5790161,0.5365694,0.5528951,0.6138441,0.5877231,0.5430997,0.5039182,0.5235089,0.567044,0.6062255,0.627993,0.619286,0.6388768,0.6258163,0.6649978,0.6421419,0.6791467,0.6628211,0.6312582,0.6007836,0.6051371,0.6040488,0.5692207,0.5376578,0.5311276,0.5104484,0.4973879,0.4843274,0.5082717,0.4810623,0.4712669,0.4941228,0.4734436,0.448411,0.4244667,0.4266434,0.3863735,0.390727,0.4114062,0.3874619,0.4026992,0.4026992,0.4364388,0.3950805,0.3711363,0.3080104,0.3047453,0.2655638,0.2655638,0.2982151,0.2710057,0.2884197,0.2688289,0.2688289,0.2699173,0.2655638,0.2437963,0.2437963,0.2514149,0.2742708,0.2775359,0.2514149,0.2601219,0.2514149,0.2405311,0.2470614,0.2340009,0.2154985,0.2046147,0.1795821,0.1839356,0.1828472,0.1676099,0.1730518,0.1784937,0.1686983,0.1752286,0.1882891,0.1763169,0.1599913,0.1545494,0.144754,0.1501959,0.162168,0.1501959,0.1741402,0.1774053,0.1632564,0.1599913,0.1632564,0.1654332,0.1719634,0.1904658,0.219852,0.2329125,0.245973,0.2242055,0.2035263,0.1915542,0.2187636,0.2361776,0.2307357,0.2263822,0.2361776,0.2612103,0.2503265,0.2590335,0.272094,0.2644754,0.2949499,0.3221593,0.3831084,0.3874619,0.3624293,0.3254245,0.2927732,0.2525033,0.2318241,0.2394428,0.2416195,0.245973,0.2252939,0.2318241,0.2220287,0.2209404,0.2133217,0.2078798,0.1991728,0.1980845,0.228559,0.2557684,0.2612103,0.2209404,0.225838,0.2307357,0.211145,0.2089682,0.1991728,0.2078798,0.1959077,0.1839356,0.1861123,0.1882891,0.2057031,0.1969961,0.193731,0.2078798,0.2263822,0.2252939,0.2231171,0.2067915,0.1980845,0.1948193,0.1980845,0.2089682,0.2002612,0.2100566,0.202438,0.2089682,0.2002612,0.211145,0.2154985,0.2525033,0.245973,0.2307357,0.2568568,0.2437963,0.237266,0.228559,0.2187636,0.2361776,0.2405311,0.2100566,0.1882891,0.1904658,0.1741402,0.1578145,0.1556378,0.1425773,0.1382238,0.1349586,0.1218981,0.1257074,0.1327819,0.1306051,0.1208098,0.1208098,0.1295168,0.1306051,0.136047,0.1240749,0.1208098,0.1153679,0.1175446,0.1088376,0.109926,0.1131911,0.1142795,0.1050283,0.1006748,0.09468872,0.09501524,0.09806269,0.09534175,0.09392686,0.08576404,0.0873966,0.09175011,0.09251197,0.08902917,0.1043753,0.09849804,0.09958642,0.1164562,0.1284284,0.12734,0.1556378,0.1719634,0.2002612,0.1643448,0.1806704,0.2089682,0.2154985,0.2154985,0.2035263,0.2051589,0.2122333,0.1980845,0.2100566,0.2350892,0.2622987,0.2405311,0.2590335,0.2361776,0.2340009,0.1991728,0.1828472,0.1763169,0.1948193,0.2220287,0.2154985,0.2187636,0.1980845,0.1959077,0.193731,0.1774053,0.1817588,0.1795821,0.1784937,0.1774053,0.1697867,0.1708751,0.1643448,0.1610797,0.1382238,0.1371354,0.1632564,0.1828472,0.1795821,0.1872007,0.2046147,0.2002612,0.2176752,0.1904658,0.2089682,0.1893774,0.1784937,0.1752286,0.1926426,0.1893774,0.2013496,0.1948193,0.193731,0.1817588,0.1828472,0.2002612,0.2154985,0.2089682,0.2383544,0.2318241,0.2154985,0.2231171,0.2057031,0.1872007,0.1839356,0.1817588,0.1850239,0.1893774,0.1980845,0.1948193,0.1806704,0.1893774,0.1904658,0.1904658,0.2046147,0.1948193,0.193731,0.1991728,0.1828472,0.1893774,0.2035263,0.2013496,0.2209404,0.2122333,0.2078798,0.2100566,0.2100566,0.2035263,0.2002612,0.2144101,0.2263822,0.2350892,0.2350892,0.2350892,0.2242055,0.2263822,0.2144101,0.2133217,0.2078798,0.2176752,0.2296474,0.2274706,0.2252939,0.2503265,0.2786243,0.3003918,0.3036569,0.3188942,0.2895081,0.3221593,0.3330431,0.3504571,0.3591641,0.3831084,0.3983457,0.3896387,0.4135829,0.4288202,0.4081411,0.4081411,0.4865041,0.4527645,0.4168481,0.4135829,0.4157597,0.3929038,0.3950805,0.3776665,0.3754898,0.3896387,0.3591641,0.3787549,0.3874619,0.3689595,0.355899,0.3537222,0.338485,0.329778,0.355899,0.3330431,0.3319547,0.3232477,0.3025686,0.2867871,0.2797127,0.263387,0.2612103,0.2601219,0.2525033,0.2699173,0.245973,0.2470614,0.2481498,0.2895081,0.2873313,0.2644754,0.2579451,0.2481498,0.2481498,0.2492381,0.2427079,0.2329125,0.2329125,0.228559,0.2350892,0.228559,0.2340009,0.2274706,0.2176752,0.2154985,0.2067915,0.2089682,0.2013496,0.2089682,0.2165869,0.2122333,0.2176752,0.199717,0.2057031,0.2035263,0.2209404,0.2176752,0.2176752,0.2035263,0.1969961,0.1866565,0.2046147,0.2089682,0.1948193,0.1948193,0.202438,0.2296474,0.2492381,0.2503265,0.2405311,0.2307357,0.2329125,0.2361776,0.2394428,0.2601219,0.2568568,0.2492381,0.2557684,0.2448846,0.2437963,0.2361776,0.2209404,0.1991728,0.2176752,0.202438,0.2067915,0.2154985,0.2067915,0.2100566,0.2100566,0.2078798,0.2209404,0.2133217,0.2067915,0.2470614,0.2287767,0.2481498,0.2200697,0.2057031,0.2231171,0.1925337,0.1833914,0.1946017,0.2091859,0.228559,0.2646931,0.263387,0.2644754,0.2849369,0.32303,0.3400087,0.3945364,0.3511101,0.2903788,0.2742708,0.2683936,0.2727471,0.2590335,0.2612103,0.255333,0.2636047,0.244667,0.2154985,0.2094036,0.2020026,0.1549848,0.1504136,0.1462778,0.1377884,0.1382238,0.1626034,0.1839356,0.1832825,0.170222,0.1626034,0.1626034,0.1584676,0.1497606,0.1497606,0.1473661,0.1624946,0.1817588,0.1972138,0.185677,0.2226818,0.2170222,0.2194166,0.2052677,0.1902481,0.1800174,0.170222,0.2006966,0.2022203,0.1900305,0.1848063,0.1941663,0.1819765,0.1636918,0.1713104,0.1680453,0.1726165,0.1541141,0.1552024,0.168263,0.1575969,0.1641271,0.169569,0.1752286,0.1976491,0.1932956,0.1898128,0.2046147,0.2150631,0.2146278,0.2403135,0.2355246,0.2041794,0.2109273,0.2109273,0.1954724,0.1959077,0.187636,0.185677,0.1765346,0.1680453,0.1575969,0.1575969,0.1619504,0.1715281,0.1752286,0.2006966,0.2096212,0.1954724,0.1928603,0.1917719,0.1815411,0.1710927,0.1739225,0.177623,0.1800174,0.1926426,0.178276,0.178276,0.1774053,0.1739225,0.1713104,0.169569,0.1922072,0.1941663,0.1993905,0.2165869,0.211145,0.2144101,0.1928603,0.2020026,0.2002612,0.1941663,0.19569,0.1891598,0.195037,0.2080975,0.2185459,0.227906,0.2107096,0.2144101,0.2161515,0.237919,0.2505442,0.2455377,0.2664345,0.2603396,0.2831955,0.2688289,0.2727471,0.3182412,0.3334785,0.3308663,0.3262952,0.3319547,0.3410971,0.3517632,0.3589465,0.3804963,0.3489334,0.331737,0.3247714,0.3691772,0.4353505,0.4555943,0.4294732,0.3946452,0.424902,0.44101,0.4331737,0.3922508,0.3219417,0.3302133,0.3228124,0.3040923,0.3186765,0.3025686,0.2699173,0.2522856,0.2679582,0.2422725,0.2703526,0.2605572,0.2479321,0.2385721,0.2387897,0.2535916,0.2511972,0.2659991,0.2516326,0.2653461,0.2492381,0.2736178,0.2629517,0.244667,0.2250762,0.225838,0.2200697,0.1978668,0.2000435,0.2067915,0.1959077,0.2170222,0.2273618,0.2303004,0.2370483,0.244667,0.2400958,0.2485851,0.2398781,0.2488028,0.2431432,0.2518502,0.272094,0.2727471,0.2749238,0.2847192,0.2668698,0.2515237,0.2607749,0.255333,0.2616456,0.2551154,0.2467349,0.2387897,0.2420549,0.2551154,0.2651284,0.2562037,0.280801,0.2757945,0.3149761,0.3336961,0.3408794,0.3289073,0.3331519,0.3243361,0.3746191,0.373966,0.3951894,0.3437092,0.3487157,0.3387027,0.3643883,0.4046582,0.4129299,0.4263169,0.5352634,0.5193731,0.5393992,0.5037005,0.5498476,0.5450588,0.5511537,0.5324336,0.5111014,0.5642142,0.5494123,0.5315629,0.619286,0.609926,0.5644319,0.5454941,0.5883761,0.6023074,0.6582499,0.5920766,0.5576839,0.5809752,0.5946887,0.5949064,0.6325642,0.644754,0.5687854,0.518067,0.5154549,0.4712669,0.5285155,0.5200261,0.4858511,0.4682194,0.4460165,0.4764911,0.5259034,0.5805398,0.5409229,0.5115368,0.50936,0.4991293,0.5193731,0.5716152,0.5787984,0.5859817,0.5685677,0.5629081,0.5535481,0.5668263,0.4305616,0.4268611,0.4377449,0.4680017,0.4721376,0.4710492,0.4695255,0.4531998,0.4592947,0.4545059,0.4529822,0.4373095,0.4423161,0.4455812,0.4455812,0.4305616,0.4292556,0.4251197,0.3902917,0.3613409,0.3236831,0.3252068,0.31367,0.321071,0.3064867,0.3051807,0.3247714,0.2919025,0.2940792,0.2498912,0.2585982,0.2644754,0.2548977,0.2747061,0.2818894,0.262734,0.2814541,0.2812364,0.280801,0.3036569,0.2973444,0.2814541,0.2712233,0.2551154,0.2529386,0.2899434,0.2914671,0.2592512,0.2479321,0.2488028,0.2411842,0.2740531,0.255333,0.2646931,0.263387,0.2488028,0.2411842,0.2435786,0.2316064,0.2566391,0.2668698,0.280801,0.2916848,0.2853722,0.2840662,0.2679582,0.2940792,0.3003918,0.2777536,0.2777536,0.2755768,0.3084458,0.3023509,0.337832,0.3591641,0.3511101,0.339138,0.3728777,0.3737484,0.3663474,0.3561167,0.3717893,0.3624293,0.3678711,0.3382673,0.3347845,0.3323901,0.331084,0.3495864,0.3702656,0.355246,0.4042229,0.4037875,0.4033522,0.4031345,0.3996517,0.3804963,0.4018285,0.3698302,0.3707009,0.3635176,0.3458859,0.3752721,0.3798433,0.4066173,0.3844145,0.4048759,0.4022638,0.4588594,0.4767088,0.4614715,0.4547236,0.4629952,0.4804092,0.475185,0.4814976,0.4693078,0.4841097,0.4814976,0.4706138,0.4645189,0.465825,0.4712669,0.4601654,0.4436221,0.4425337,0.4288202,0.4314323,0.4621245,0.4305616,0.4612538,0.4412277,0.45037,0.4357858,0.4234872,0.4477579,0.4697431,0.4867218,0.518067,0.5076186,0.5315629,0.4784502,0.4856334,0.465172,0.508707,0.5104484,0.5639965,0.5735742,0.577057,0.5818459,0.5964301,0.6023074,0.5574663,0.5524597,0.5546365,0.6377884,0.6737048,0.69569,0.7061384,0.7443404,0.7625163,0.8225947,0.81367,0.788855,0.8243361,0.7710057,0.8241184,0.7592512,0.7218111,0.7584893,0.7577275,0.7951676,0.8498041,0.8728777,0.9016108,0.9083587,0.9708315,1.009142,0.948411,1.069003,1.087179,1.173487,1.06182,1.054854,1.086635,1.021332,0.8454506,0.8846321,1.03744,1.084023,1.093383,1.13017,1.057249,1.102743,1.197214,1.047236,1.023074,0.9440575,0.9706138,1.026774,0.9558119,0.9083587,0.7840662,0.8040923,0.8206356,0.8417501,0.8171528,0.7348716,0.7474967,0.8545929,0.8698302,0.9222899,0.9795385,0.948411,0.8202003,0.8711363,0.9318677,0.923596,0.9344798,0.9775795,1.002177,1.017632,0.8992164,0.771441,0.8021332,0.8741837,0.8400087,0.9603831,1.096865,1.142142,1.149325,1.08054,1.062908,1.007401,1],"pr":[0.3914889,0.3838703,0.3650414,0.3405529,0.3233566,0.3281454,0.3243361,0.3178058,0.3178058,0.304963,0.304963,0.2982151,0.2778624,0.2800392,0.2800392,0.2780801,0.2780801,0.2780801,0.2780801,0.2780801,0.297562,0.297562,0.297562,0.297562,0.3116021,0.3116021,0.3111667,0.3111667,0.3155202,0.3166086,0.3265128,0.3439269,0.3677623,0.3732042,0.3803875,0.3767958,0.3642795,0.3395734,0.3314105,0.3498041,0.3373966,0.3328254,0.3328254,0.3134523,0.3308663,0.3308663,0.3401175,0.3323901,0.3398999,0.3395734,0.3395734,0.3395734,0.3406617,0.3373966,0.3280366,0.3356552,0.3390292,0.3373966,0.3348933,0.3341315,0.3363082,0.3199826,0.3090988,0.2993034,0.2995211,0.2776448,0.2735089,0.2777536,0.2732912,0.2732912,0.2677405,0.2531563,0.2601219,0.2601219,0.2568568,0.2481498,0.2618633,0.2443404,0.245973,0.245973,0.245973,0.2607749,0.2615368,0.2602307,0.2749238,0.2749238,0.2260557,0.2122333,0.2078798,0.2144101,0.2256204,0.2525033,0.2503265,0.2492381,0.25468,0.2731824,0.2840662,0.2905964,0.2949499,0.2829778,0.2416195,0.2350892,0.2334567,0.2296474,0.2503265,0.2340009,0.2296474,0.2362865,0.2348716,0.2304092,0.219852,0.2343274,0.2250762,0.2242055,0.2370483,0.245973,0.25468,0.2644754,0.2600131,0.255333,0.2643666,0.2718764,0.2851545,0.2927732,0.3014802,0.2971267,0.2933174,0.2933174,0.266761,0.25468,0.2575098,0.2525033,0.2556596,0.25468,0.2562037,0.2557684,0.2557684,0.2557684,0.2501088,0.2437963,0.2481498,0.2503265,0.24064,0.24064,0.2654549,0.2682847,0.2786243,0.2763387,0.2763387,0.2742708,0.2780801,0.2644754,0.2644754,0.2575098,0.2531563,0.2468437,0.2498912,0.2498912,0.2394428,0.2402046,0.2375925,0.2337832,0.241293,0.2394428,0.2394428,0.2368306,0.237266,0.2274706,0.2217022,0.2374837,0.2427079,0.2423814,0.2423814,0.2436874,0.2303004,0.2122333,0.2057031,0.2098389,0.2057031,0.1926426,0.1959077,0.1634741,0.1431215,0.1422508,0.1567262,0.1390945,0.1491075,0.1523727,0.1404005,0.136047,0.1378973,0.1363735,0.1208098,0.115259,0.1088376,0.105246,0.09523291,0.1057902,0.09218546,0.1042664,0.1082934,0.1088376,0.1088376,0.1088376,0.1088376,0.1138441,0.1138441,0.1408359,0.1408359,0.1414889,0.1349586,0.1349586,0.1349586,0.1349586,0.1349586,0.1390945,0.1503047,0.1503047,0.1578145,0.1418154,0.1418154,0.1418154,0.1418154,0.1418154,0.144754,0.1466043,0.1413801,0.1284284,0.1284284,0.1284284,0.1289726,0.1197214,0.1208098,0.1077492,0.1153679,0.1142795,0.1110144,0.09686548,0.1142795,0.1088376,0.1042664,0.1038311,0.09991293,0.09991293,0.1088376,0.1069874,0.1060078,0.109926,0.1110144,0.1044841,0.1033957,0.1023074,0.1000218,0.09828037,0.09904223,0.09904223,0.09904223,0.0983892,0.0966478,0.09730083,0.08924684,0.08500218,0.08010448,0.07542447,0.07335655,0.06519373,0.07128864,0.06835002,0.08609055,0.0940357,0.08206356,0.08815847,0.09283848,0.0914236,0.1130823,0.1039399,0.1150414,0.1061167,0.1142795,0.1124293,0.118633,0.1240749,0.1316935,0.1214628,0.1296256,0.1144972,0.1153679,0.1284284,0.1197214,0.1184153,0.1221158,0.1240749,0.12734,0.1229865,0.1218981,0.1306051,0.1725076,0.174249,0.1839356,0.1719634,0.1541141,0.1632564,0.1882891,0.1882891,0.1850239,0.1948193,0.2070091,0.1977579,0.1926426,0.1839356,0.1814323,0.1501959,0.1638006,0.1589029,0.1794732,0.1708751,0.1610797,0.1806704,0.18633,0.1959077,0.2097301,0.1904658,0.1936221,0.2232259,0.2178929,0.2176752,0.2165869,0.2427079,0.2116892,0.2242055,0.2146278,0.2001524,0.2089682,0.2042882,0.219199,0.219852,0.2121245,0.1978668,0.2089682,0.2039617,0.1851328,0.1872007,0.18633,0.1954724,0.1855681,0.1741402,0.1739225,0.1831737,0.1794732,0.1739225,0.1795821,0.193731,0.2014584,0.2165869,0.2122333,0.2194166,0.219852,0.208424,0.2098389,0.1942751,0.180997,0.1927514,0.1904658,0.2051589,0.2067915,0.2013496,0.1909012,0.1926426,0.1957989,0.1893774,0.1904658,0.1833914,0.1861123,0.1867653,0.1898128,0.1878537,0.1936221,0.1931868,0.1905747,0.1915542,0.1866565,0.1845886,0.1741402,0.1762081,0.1770788,0.1730518,0.1686983,0.1716369,0.1630387,0.1598825,0.1727253,0.1725076,0.1774053,0.1745755,0.1752286,0.1665215,0.1714192,0.1719634,0.1839356,0.1780583,0.1812146,0.1784937,0.1820853,0.1866565,0.1752286,0.1686983,0.1654332,0.1523727,0.1545494,0.1589029,0.1306051,0.1295168,0.1545494,0.1697867,0.1632564,0.153461,0.1512843,0.1469308,0.1545494,0.1545494,0.156182,0.1458424,0.138768,0.1297344,0.1306051,0.1316935,0.1338703,0.135394,0.1311493,0.1321289,0.1327819,0.1284284,0.1251633,0.1142795,0.1142795,0.1044841,0.1087288,0.1050283,0.1028515,0.09675664,0.09468872,0.09414454,0.09599478,0.09185895,0.09098825,0.09523291,0.101872,0.09436221,0.0873966,0.09022638,0.08859382,0.08598172,0.08598172,0.08804963,0.09773618,0.0821724,0.08609055,0.08532869,0.08717893,0.08870266,0.1001306,0.1153679,0.1247279,0.1140618,0.118633,0.1142795,0.1295168,0.1344145,0.1327819,0.139421,0.1338703,0.1371354,0.1327819,0.1338703,0.1382238,0.1312582,0.1327819,0.1229865,0.1033957,0.09468872,0.08761428,0.1070962,0.109926,0.113953,0.1218981,0.1512843,0.1719634,0.1464954,0.1469308,0.1338703,0.1164562,0.1023074,0.1142795,0.1062255,0.09893339,0.09360035,0.09686548,0.09795385,0.1023074,0.09784502,0.09686548,0.1121027,0.09468872,0.08489334,0.08630823,0.07727471,0.05877231,0.05528951,0.04680017,0.04788855,0.04418807,0.054963,0.06007836,0.05071833,0.05289508,0.05441881,0.05713975,0.05224205,0.05278624,0.05605137,0.04680017,0.05975185,0.05790161,0.06911189,0.06747932,0.06225512,0.05986069,0.050936,0.05343927,0.0500653,0.05115368,0.07041794,0.07183283,0.0746626,0.0729212,0.07400958,0.06998259,0.06965607,0.06889421,0.07183283,0.06617327,0.06367,0.06421419,0.06639094,0.0914236,0.1197214,0.1251633,0.1001306,0.1011101,0.09479756,0.1148237,0.1077492,0.1183065,0.1197214,0.1240749,0.1238572,0.1262516,0.1164562,0.1229865,0.1316935,0.1371354,0.1458424,0.153461,0.144754,0.1459512,0.1436657,0.1393121,0.1367,0.1306051,0.1055725,0.1140618,0.1156944,0.1100348,0.1131911,0.1077492,0.1088376,0.1067697,0.1017632,0.09795385,0.08913801,0.08162821,0.08010448,0.08358729,0.09588594,0.08707009,0.08946452,0.08707009,0.09947758,0.09185895,0.09000871,0.09033522,0.09686548,0.0957771,0.09098825,0.08815847,0.09000871,0.08761428,0.08815847,0.09305616,0.08815847,0.1197214,0.1123204,0.1131911,0.1008925,0.09501524,0.1023074,0.1023074,0.1082934,0.102525,0.09784502,0.09991293,0.09033522,0.09457989,0.09360035,0.09893339,0.1031781,0.09991293,0.09784502,0.09795385,0.09468872,0.09436221,0.08609055,0.08707009,0.08489334,0.08815847,0.08924684,0.09196778,0.08913801,0.0839138,0.08195472,0.07858076,0.07836308,0.07945146,0.07836308,0.08184589,0.0830431,0.08195472,0.07890727,0.07444493,0.07303004,0.06911189,0.0711798,0.07346539,0.07618633,0.08162821,0.07945146,0.08053983,0.07803657,0.07945146,0.08053983,0.07890727,0.07901611,0.080431,0.08434915,0.08707009,0.08445799,0.08380496,0.08326077,0.08380496,0.0839138,0.08707009,0.0966478,0.09795385,0.09327384,0.09011754,0.09708315,0.08761428,0.09555943,0.1048106,0.1033957,0.1038311,0.1056813,0.1131911,0.1066609,0.1044841,0.0966478,0.1044841,0.101219,0.09643013,0.09806269,0.1137353,0.1002394,0.1068785,0.1063343,0.1196125,0.1284284,0.1377884,0.1175446,0.1567262,0.1436657,0.1436657,0.1491075,0.1414889,0.1393121,0.1316935,0.1316935,0.1393121,0.1262516,0.1312582,0.1458424,0.1752286,0.2145189,0.2165869,0.2873313,0.3417501,0.2753592,0.2764475,0.3482804,0.321071,0.3167175,0.2993034,0.3318459,0.3371789,0.335111,0.4526556,0.6954724,0.5384197,0.5539835,0.5500653,0.5724859,0.5267741,0.518067,0.4549412,0.4037875,0.4592947,0.4342621,0.4255551,0.3787549,0.4299086,0.4135829,0.4145625,0.4494993,0.4600566,0.4582064,0.4614715,0.5637788,0.7183283,0.6269047,0.6835002,0.7596865,0.7520679,0.800283,0.7923378,0.928929,1.130823,0.8892033,1.017632,0.8979103,0.8576404,0.9849804,0.9123857,0.9120592,0.7923378,0.7618633,0.7930997,0.9120592,0.8946452,0.9033522,0.8957336,0.966478,0.8932303,0.9425337,0.9033522,0.9196778,0.8728777,0.8133435,0.7760122,0.7651284,0.7792773,0.7488028,0.7851545,0.8243361,0.856552,0.8815847,0.8162821,0.7411842,0.7890727,0.7526121,0.7771006,0.7585982,0.7128864,0.6932956,0.6519373,0.5870701,0.6160209,0.6138441,0.5745538,0.5735742,0.6612973,0.619286,0.6584676,0.5996953,0.593165,0.584458,0.5452764,0.5452764,0.5151284,0.5561602,0.5191554,0.5060949,0.5365694,0.4625599,0.5017414,0.4516761,0.4538529,0.4328472,0.448411,0.430997,0.4560296,0.4610361,0.4712669,0.4941228,0.4429691,0.4378537,0.4620157,0.4405747,0.4288202,0.4244667,0.4265346,0.4413365,0.5485416,0.4432956,0.4731171,0.4669134,0.4320853,0.4179364,0.4081411,0.3896387,0.3874619,0.3929038,0.4179364,0.4016108,0.4092294,0.4277318,0.4788855,0.5158903,0.5616021,0.593165,0.5648672,0.5278624,0.5267741,0.5354811,0.4886809,0.4603831,0.4462342,0.4288202,0.4016108,0.4201132,0.4592947,0.4527645,0.4451458,0.5376578,0.4908576,0.4930344,0.4930344,0.5148019,0.5191554,0.5256857,0.5692207,0.584458,0.6443187,0.6998259,0.6835002,0.7683936,0.7150631,0.7139747,0.7183283,0.6432303,0.6573792,0.6726165,0.7194166,0.7531563,0.7270353,0.7662168,0.7335655,0.8424031,0.9011754,0.8554636,0.8826731,0.9719199,1.161297,1.09273,1.115586,1.122116,1.063343,1.049195,1.128646,0.9545059,0.9904223,0.9675664,0.8521985,0.8402264,0.940357,0.9653896,0.914236,0.9468872,0.8772312,0.8500218,0.914236,1.008925,1.045929,1.122116,1.100348,1.068785,1.135176,1.164562,1.09926,1.177623,1.149325,1.329996,1.302786,1.304963,1.344145,1.272312,1.213539,1.420331,1.406182,1.309316,1.327819,1.458424,1.530257,1.683718,1.668481,1.599913,1.580322,1.730518,1.676099,1.533522,1.543317,1.663039,1.592294,1.512843,1.468219,1.362647,1.438833,1.350675,1.380061,1.362647,1.326731,1.38768,1.311493,1.282107,1.141707,1.019808,1.000218,1.093818,1.082934,0.9828037,0.9555943,0.8870266,0.8826731,0.9392686,0.8663474,0.8489334,0.8173705,0.8902917,0.8859382,0.9523291,0.9588594,0.8380496,0.8326077,0.8402264,0.8543753,0.8456683,0.8815847,0.7727471,0.7455377,0.7194166,0.7194166,0.7390074,0.7531563,0.703091,0.720505,0.6726165,0.6606443,0.6780583,0.584458,0.5877231,0.5964301,0.6269047,0.5572486,0.6007836,0.6464954,0.7052677,0.6628211,0.6290814,0.7063561,0.7814541,0.7999565,0.8511101,0.8315194,0.7760122,0.7498912,0.8032216,0.7814541,0.6954724,0.6464954,0.6160209,0.5866347,0.6214628,0.6247279,0.6649978,0.6649978,0.6758816,0.619286,0.5790161,0.5365694,0.5528951,0.6138441,0.5877231,0.5430997,0.5039182,0.5235089,0.567044,0.6062255,0.627993,0.619286,0.6388768,0.6258163,0.6649978,0.6421419,0.6791467,0.6628211,0.6312582,0.6007836,0.6051371,0.6040488,0.5692207,0.5376578,0.5311276,0.5104484,0.4973879,0.4843274,0.5082717,0.4810623,0.4712669,0.4941228,0.4734436,0.448411,0.4244667,0.4266434,0.3863735,0.390727,0.4114062,0.3874619,0.4026992,0.4026992,0.4364388,0.3950805,0.3711363,0.3080104,0.3047453,0.2655638,0.2655638,0.2982151,0.2710057,0.2884197,0.2688289,0.2688289,0.2699173,0.2655638,0.2437963,0.2437963,0.2514149,0.2742708,0.2775359,0.2514149,0.2601219,0.2514149,0.2405311,0.2470614,0.2340009,0.2154985,0.2046147,0.1795821,0.1839356,0.1828472,0.1676099,0.1730518,0.1784937,0.1686983,0.1752286,0.1882891,0.1763169,0.1599913,0.1545494,0.144754,0.1501959,0.162168,0.1501959,0.1741402,0.1774053,0.1632564,0.1599913,0.1632564,0.1654332,0.1719634,0.1904658,0.219852,0.2329125,0.245973,0.2242055,0.2035263,0.1915542,0.2187636,0.2361776,0.2307357,0.2263822,0.2361776,0.2612103,0.2503265,0.2590335,0.272094,0.2644754,0.2949499,0.3221593,0.3831084,0.3874619,0.3624293,0.3254245,0.2927732,0.2525033,0.2318241,0.2394428,0.2416195,0.245973,0.2252939,0.2318241,0.2220287,0.2209404,0.2133217,0.2078798,0.1991728,0.1980845,0.228559,0.2557684,0.2612103,0.2209404,0.225838,0.2307357,0.211145,0.2089682,0.1991728,0.2078798,0.1959077,0.1839356,0.1861123,0.1882891,0.2057031,0.1969961,0.193731,0.2078798,0.2263822,0.2252939,0.2231171,0.2067915,0.1980845,0.1948193,0.1980845,0.2089682,0.2002612,0.2100566,0.202438,0.2089682,0.2002612,0.211145,0.2154985,0.2525033,0.245973,0.2307357,0.2568568,0.2437963,0.237266,0.228559,0.2187636,0.2361776,0.2405311,0.2100566,0.1882891,0.1904658,0.1741402,0.1578145,0.1556378,0.1425773,0.1382238,0.1349586,0.1218981,0.1257074,0.1327819,0.1306051,0.1208098,0.1208098,0.1295168,0.1306051,0.136047,0.1240749,0.1208098,0.1153679,0.1175446,0.1088376,0.109926,0.1131911,0.1142795,0.1050283,0.1006748,0.09468872,0.09501524,0.09806269,0.09534175,0.09392686,0.08576404,0.0873966,0.09175011,0.09251197,0.08902917,0.1043753,0.09849804,0.09958642,0.1164562,0.1284284,0.12734,0.1556378,0.1719634,0.2002612,0.1643448,0.1806704,0.2089682,0.2154985,0.2154985,0.2035263,0.2051589,0.2122333,0.1980845,0.2100566,0.2350892,0.2622987,0.2405311,0.2590335,0.2361776,0.2340009,0.1991728,0.1828472,0.1763169,0.1948193,0.2220287,0.2154985,0.2187636,0.1980845,0.1959077,0.193731,0.1774053,0.1817588,0.1795821,0.1784937,0.1774053,0.1697867,0.1708751,0.1643448,0.1610797,0.1382238,0.1371354,0.1632564,0.1828472,0.1795821,0.1872007,0.2046147,0.2002612,0.2176752,0.1904658,0.2089682,0.1893774,0.1784937,0.1752286,0.1926426,0.1893774,0.2013496,0.1948193,0.193731,0.1817588,0.1828472,0.2002612,0.2154985,0.2089682,0.2383544,0.2318241,0.2154985,0.2231171,0.2057031,0.1872007,0.1839356,0.1817588,0.1850239,0.1893774,0.1980845,0.1948193,0.1806704,0.1893774,0.1904658,0.1904658,0.2046147,0.1948193,0.193731,0.1991728,0.1828472,0.1893774,0.2035263,0.2013496,0.2209404,0.2122333,0.2078798,0.2100566,0.2100566,0.2035263,0.2002612,0.2144101,0.2263822,0.2350892,0.2350892,0.2350892,0.2242055,0.2263822,0.2144101,0.2133217,0.2078798,0.2176752,0.2296474,0.2274706,0.2252939,0.2503265,0.2786243,0.3003918,0.3036569,0.3188942,0.2895081,0.3221593,0.3330431,0.3504571,0.3591641,0.3831084,0.3983457,0.3896387,0.4135829,0.4288202,0.4081411,0.4081411,0.4865041,0.4527645,0.4168481,0.4135829,0.4157597,0.3929038,0.3950805,0.3776665,0.3754898,0.3896387,0.3591641,0.3787549,0.3874619,0.3689595,0.355899,0.3537222,0.338485,0.329778,0.355899,0.3330431,0.3319547,0.3232477,0.3025686,0.2867871,0.2797127,0.263387,0.2612103,0.2601219,0.2525033,0.2699173,0.245973,0.2470614,0.2481498,0.2895081,0.2873313,0.2644754,0.2579451,0.2481498,0.2481498,0.2492381,0.2427079,0.2329125,0.2329125,0.228559,0.2350892,0.228559,0.2340009,0.2274706,0.2176752,0.2154985,0.2067915,0.2089682,0.2013496,0.2089682,0.2165869,0.2122333,0.2176752,0.199717,0.2057031,0.2035263,0.2209404,0.2176752,0.2176752,0.2035263,0.1969961,0.1866565,0.2046147,0.2089682,0.1948193,0.1948193,0.202438,0.2296474,0.2492381,0.2503265,0.2405311,0.2307357,0.2329125,0.2361776,0.2394428,0.2601219,0.2568568,0.2492381,0.2557684,0.2448846,0.2437963,0.2361776,0.2209404,0.1991728,0.2176752,0.202438,0.2067915,0.2154985,0.2067915,0.2100566,0.2100566,0.2078798,0.2209404,0.2133217,0.2067915,0.2470614,0.2287767,0.2481498,0.2200697,0.2057031,0.2231171,0.1925337,0.1833914,0.1946017,0.2091859,0.228559,0.2646931,0.263387,0.2644754,0.2849369,0.32303,0.3400087,0.3945364,0.3511101,0.2903788,0.2742708,0.2683936,0.2727471,0.2590335,0.2612103,0.255333,0.2636047,0.244667,0.2154985,0.2094036,0.2020026,0.1549848,0.1504136,0.1462778,0.1377884,0.1382238,0.1626034,0.1839356,0.1832825,0.170222,0.1626034,0.1626034,0.1584676,0.1497606,0.1497606,0.1473661,0.1624946,0.1817588,0.1972138,0.185677,0.2226818,0.2170222,0.2194166,0.2052677,0.1902481,0.1800174,0.170222,0.2006966,0.2022203,0.1900305,0.1848063,0.1941663,0.1819765,0.1636918,0.1713104,0.1680453,0.1726165,0.1541141,0.1552024,0.168263,0.1575969,0.1641271,0.169569,0.1752286,0.1976491,0.1932956,0.1898128,0.2046147,0.2150631,0.2146278,0.2403135,0.2355246,0.2041794,0.2109273,0.2109273,0.1954724,0.1959077,0.187636,0.185677,0.1765346,0.1680453,0.1575969,0.1575969,0.1619504,0.1715281,0.1752286,0.2006966,0.2096212,0.1954724,0.1928603,0.1917719,0.1815411,0.1710927,0.1739225,0.177623,0.1800174,0.1926426,0.178276,0.178276,0.1774053,0.1739225,0.1713104,0.169569,0.1922072,0.1941663,0.1993905,0.2165869,0.211145,0.2144101,0.1928603,0.2020026,0.2002612,0.1941663,0.19569,0.1891598,0.195037,0.2080975,0.2185459,0.227906,0.2107096,0.2144101,0.2161515,0.237919,0.2505442,0.2455377,0.2664345,0.2603396,0.2831955,0.2688289,0.2727471,0.3182412,0.3334785,0.3308663,0.3262952,0.3319547,0.3410971,0.3517632,0.3589465,0.3804963,0.3489334,0.331737,0.3247714,0.3691772,0.4353505,0.4555943,0.4294732,0.3946452,0.424902,0.44101,0.4331737,0.3922508,0.3219417,0.3302133,0.3228124,0.3040923,0.3186765,0.3025686,0.2699173,0.2522856,0.2679582,0.2422725,0.2703526,0.2605572,0.2479321,0.2385721,0.2387897,0.2535916,0.2511972,0.2659991,0.2516326,0.2653461,0.2492381,0.2736178,0.2629517,0.244667,0.2250762,0.225838,0.2200697,0.1978668,0.2000435,0.2067915,0.1959077,0.2170222,0.2273618,0.2303004,0.2370483,0.244667,0.2400958,0.2485851,0.2398781,0.2488028,0.2431432,0.2518502,0.272094,0.2727471,0.2749238,0.2847192,0.2668698,0.2515237,0.2607749,0.255333,0.2616456,0.2551154,0.2467349,0.2387897,0.2420549,0.2551154,0.2651284,0.2562037,0.280801,0.2757945,0.3149761,0.3336961,0.3408794,0.3289073,0.3331519,0.3243361,0.3746191,0.373966,0.3951894,0.3437092,0.3487157,0.3387027,0.3643883,0.4046582,0.4129299,0.4263169,0.5352634,0.5193731,0.5393992,0.5037005,0.5498476,0.5450588,0.5511537,0.5324336,0.5111014,0.5642142,0.5494123,0.5315629,0.619286,0.609926,0.5644319,0.5454941,0.5883761,0.6023074,0.6582499,0.5920766,0.5576839,0.5809752,0.5946887,0.5949064,0.6325642,0.644754,0.5687854,0.518067,0.5154549,0.4712669,0.5285155,0.5200261,0.4858511,0.4682194,0.4460165,0.4764911,0.5259034,0.5805398,0.5409229,0.5115368,0.50936,0.4991293,0.5193731,0.5716152,0.5787984,0.5859817,0.5685677,0.5629081,0.5535481,0.5668263,0.4305616,0.4268611,0.4377449,0.4680017,0.4721376,0.4710492,0.4695255,0.4531998,0.4592947,0.4545059,0.4529822,0.4373095,0.4423161,0.4455812,0.4455812,0.4305616,0.4292556,0.4251197,0.3902917,0.3613409,0.3236831,0.3252068,0.31367,0.321071,0.3064867,0.3051807,0.3247714,0.2919025,0.2940792,0.2498912,0.2585982,0.2644754,0.2548977,0.2747061,0.2818894,0.262734,0.2814541,0.2812364,0.280801,0.3036569,0.2973444,0.2814541,0.2712233,0.2551154,0.2529386,0.2899434,0.2914671,0.2592512,0.2479321,0.2488028,0.2411842,0.2740531,0.255333,0.2646931,0.263387,0.2488028,0.2411842,0.2435786,0.2316064,0.2566391,0.2668698,0.280801,0.2916848,0.2853722,0.2840662,0.2679582,0.2940792,0.3003918,0.2777536,0.2777536,0.2755768,0.3084458,0.3023509,0.337832,0.3591641,0.3511101,0.339138,0.3728777,0.3737484,0.3663474,0.3561167,0.3717893,0.3624293,0.3678711,0.3382673,0.3347845,0.3323901,0.331084,0.3495864,0.3702656,0.355246,0.4042229,0.4037875,0.4033522,0.4031345,0.3996517,0.3804963,0.4018285,0.3698302,0.3707009,0.3635176,0.3458859,0.3752721,0.3798433,0.4066173,0.3844145,0.4048759,0.4022638,0.4588594,0.4767088,0.4614715,0.4547236,0.4629952,0.4804092,0.475185,0.4814976,0.4693078,0.4841097,0.4814976,0.4706138,0.4645189,0.465825,0.4712669,0.4601654,0.4436221,0.4425337,0.4288202,0.4314323,0.4621245,0.4305616,0.4612538,0.4412277,0.45037,0.4357858,0.4234872,0.4477579,0.4697431,0.4867218,0.518067,0.5076186,0.5315629,0.4784502,0.4856334,0.465172,0.508707,0.5104484,0.5639965,0.5735742,0.577057,0.5818459,0.5964301,0.6023074,0.5574663,0.5524597,0.5546365,0.6377884,0.6737048,0.69569,0.7061384,0.7443404,0.7625163,0.8225947,0.81367,0.788855,0.8243361,0.7710057,0.8241184,0.7592512,0.7218111,0.7584893,0.7577275,0.7951676,0.8498041,0.8728777,0.9016108,0.9083587,0.9708315,1.009142,0.948411,1.069003,1.087179,1.173487,1.06182,1.054854,1.086635,1.021332,0.8454506,0.8846321,1.03744,1.084023,1.093383,1.13017,1.057249,1.102743,1.197214,1.047236,1.023074,0.9440575,0.9706138,1.026774,0.9558119,0.9083587,0.7840662,0.8040923,0.8206356,0.8417501,0.8171528,0.7348716,0.7474967,0.8545929,0.8698302,0.9222899,0.9795385,0.948411,0.8202003,0.8711363,0.9318677,0.923596,0.9344798,0.9775795,1.002177,1.017632,0.8992164,0.771441,0.8021332,0.8741837,0.8400087,0.9603831,1.096865,1.142142,1.149325,1.08054,1.062908,1.007401,1]}