Problem Statement
Elly signed up for a table tennis tournament. There are N participants in the tournament, including her. Each participant has an ELO rating (i.e., a number approximating how good he or she is). For the purpose of this task we will assume that if two players with ELO ratings X and Y play against each other, the first player will win with probability X / (X + Y) and the second player will win with probability Y / (X + Y).
The tournament is played in rounds. In the beginning all participants sit in a single row. In each round two players sitting next to each other are chosen uniformly at random. The chosen players play a game. The loser of the game is eliminated from the tournament. (The players who were the loser's neighbors in the old row are now each other's neighbors in the new row.) After playing N-1 rounds (each consisting of a single game) a single person will remain. This person is the winner of the tournament.
It is the beginning of the tournament.
The
Definition
- Class:
- EllysTournament
- Method:
- getChance
- Parameters:
- int, int, int[]
- Returns:
- double
- Method signature:
- double getChance(int N, int K, int[] ratings)
- (be sure your method is public)
Notes
- Your return value must have an absolute or a relative error at most 1e-9.
- All random events in the tournament are mutually independent.
Constraints
- N will be between 1 and 500, inclusive.
- K will be between 1 and N, inclusive.
- ratings will contain exactly N elements.
- Each element of ratings will be between 1 and 3000, inclusive.
Examples
4
2
{2103, 2019, 1911, 2331}
Returns: 0.17753927527829697
There are four people enlisted for the tournament. Ellys is the second from the left. In order to win, she has to beat the opponent standing to the left of her (because there is nobody else to the left that can beat him), which happens with chance 2019 / (2019 + 2103) = 0.489810771470. There are three possible options for the remaining two opponents: Elly beats both. This happens with chance 2019/(2019 + 1911) = 0.513740458015 for the first one and then 2019/(2019+2331) = 0.464137931034 for the second, for a total of 0.513740458015 * 0.464137931034 = 0.238446433272. The lower rated opponent can beat the higher rated one, and then Elly can beat him. This happens with chance 1911/(1911+2331) = 0.450495049505 for the lower rated to beat the higher rated and then 2019/(2019+1911) = 0.513740458015 for Elly to beat him for a total of 0.450495049505 * 0.513740458015 = 0.231437533066. The higher rated opponent can beat the lower rated one, and then Elly can beat him. This happens with chance 2331/(1911+2331) = 0.549504950495 for the higher rated to beat the lower rated and then 2019/(2019+2331) = 0.464137931034 for Elly to beat him for a total of 0.549504950495 * 0.464137931034 = 0.255046090816. Please note that (ignoring the match against the player to the left), either the first match is between the two opponents to the right (covering cases 2 and 3) or the first match is with Elly and the one with rating 1911. Thus, the total chance for Elly to win the tournament is: 0.489810771470 (to beat the player to the left) * ( 1/2 * 0.238446433272 (to beat both players to the right) + 1/2 * (0.231437533066 + 0.255046090816) (to beat only one of the players to the right) ) The result here is 0.489810771470 * (0.5 * 0.238446433272 + 0.5 * (0.231437533066 + 0.255046090816)) = 0.177539275278.
12
6
{42, 88, 13, 11, 71, 55, 32, 13, 72, 53, 37, 50}
Returns: 0.06697114679670368
20
13
{1543, 1230, 421, 1415, 1271, 1962, 2677, 2373, 2951, 114, 1379, 2015, 2211, 955, 2066, 2573, 2982, 296, 1730, 1591}
Returns: 0.05017297846158086
100
42
{2750, 2877, 2224, 186, 1398, 1084, 1542, 2770, 2288, 1078, 373, 2417, 476, 2968, 564, 1565, 1740, 1377, 2633, 287, 111, 823, 578, 520, 1708, 174, 144, 1295, 694, 678, 227, 2588, 371, 2740, 211, 1798, 82, 2385, 2979, 389, 2031, 1667, 2541, 2561, 1471, 2562, 974, 577, 286, 2836, 120, 2290, 185, 554, 2549, 1410, 1814, 1508, 2559, 1806, 2215, 1606, 2637, 1394, 1583, 1491, 2908, 529, 2556, 1034, 2770, 750, 2866, 2590, 1156, 2646, 2536, 958, 2862, 2565, 1027, 2744, 1160, 276, 2080, 322, 92, 790, 2452, 1859, 602, 2935, 2392, 1076, 2991, 1158, 2721, 868, 112, 29}
Returns: 0.003026484586204139
5
1
{42, 13, 17, 19, 23}
Returns: 0.4998653043354169
15
10
{1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15}
Returns: 0.06060001424906832
13
13
{13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13}
Returns: 0.1611802577972412
1
1
{42}
Returns: 1.0
2
1
{3000, 1}
Returns: 0.9996667777407531
500
250
{3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 1, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000}
Returns: 1.7909875759266225E-12
500
497
{240, 1861, 1218, 1251, 2797, 218, 2866, 1305, 1540, 2046, 2350, 2469, 2937, 2021, 2491, 1109, 2577, 2849, 1187, 497, 258, 1201, 1356, 120, 2336, 1383, 2127, 2619, 1129, 2890, 1375, 1215, 401, 1999, 1333, 2320, 1567, 1744, 1801, 1414, 2331, 417, 1234, 1948, 194, 1329, 2040, 279, 1903, 972, 1736, 573, 2639, 2646, 2810, 110, 1575, 1151, 649, 1403, 2349, 1635, 2276, 1207, 1417, 1621, 72, 511, 451, 2070, 943, 2955, 905, 427, 1703, 1474, 1314, 1932, 1157, 1395, 2327, 1938, 403, 1569, 1660, 125, 1802, 478, 2948, 2037, 1975, 427, 229, 475, 1863, 2341, 612, 37, 2208, 1707, 1019, 2719, 1150, 2726, 2304, 2096, 1693, 2022, 1857, 1389, 572, 1052, 2990, 1540, 300, 2596, 1588, 1460, 1007, 1264, 1216, 2767, 1454, 2577, 1503, 1772, 1409, 2105, 2073, 1399, 1014, 1, 622, 693, 2593, 2539, 175, 1494, 1346, 1695, 2601, 1894, 2765, 2185, 2843, 2162, 2124, 2128, 1947, 2539, 1038, 184, 530, 2450, 1865, 1156, 1265, 1078, 1025, 1394, 1630, 1620, 1734, 2227, 2050, 1415, 513, 1517, 1593, 2522, 1241, 1739, 1433, 1016, 1344, 1556, 2574, 831, 2445, 728, 2041, 25, 483, 2620, 1722, 621, 2596, 1042, 1818, 564, 2488, 251, 102, 391, 1959, 2816, 499, 2009, 1891, 316, 2536, 1829, 1446, 1088, 916, 942, 2567, 1075, 2600, 1106, 401, 1921, 1900, 151, 886, 1034, 2901, 1319, 1422, 2844, 2503, 1100, 179, 1304, 2383, 2755, 2955, 2012, 1234, 2143, 2100, 649, 2321, 824, 2680, 203, 2640, 786, 1937, 343, 1828, 1089, 81, 1762, 2443, 1955, 2460, 56, 1851, 2855, 2382, 680, 2680, 2386, 961, 38, 1366, 1785, 650, 1241, 328, 1756, 1966, 2197, 213, 1058, 1223, 1871, 2865, 2337, 2683, 1327, 410, 1394, 2095, 478, 1106, 1174, 1338, 1777, 1378, 422, 1379, 1585, 2024, 910, 1460, 2634, 318, 1220, 27, 2320, 958, 905, 1927, 937, 1357, 314, 2344, 2790, 2616, 2170, 44, 11, 2026, 2997, 1353, 1188, 833, 2092, 57, 2358, 1077, 1680, 118, 448, 234, 2258, 539, 2919, 1425, 40, 1449, 2738, 60, 463, 1347, 1500, 1511, 334, 534, 2300, 1812, 492, 1869, 619, 524, 650, 1527, 595, 1752, 2317, 1412, 2473, 2974, 2339, 2392, 873, 2245, 204, 77, 248, 1115, 1966, 259, 2930, 1881, 1800, 1561, 2398, 2422, 2318, 1237, 510, 2669, 1372, 2491, 2590, 1641, 2909, 418, 1757, 913, 1860, 2461, 2859, 2039, 1206, 2585, 2716, 1383, 2717, 1165, 2640, 115, 1721, 664, 2187, 824, 906, 73, 922, 1155, 468, 2088, 2423, 1210, 1990, 880, 2058, 362, 859, 1380, 2215, 258, 2575, 375, 1402, 1656, 1986, 321, 2298, 489, 2137, 1143, 740, 1736, 2579, 1389, 1354, 595, 2050, 767, 434, 2041, 1914, 1981, 2348, 1392, 2807, 209, 342, 2605, 1276, 473, 2904, 2498, 2550, 1794, 166, 1478, 631, 2167, 2135, 1508, 1504, 2346, 32, 2003, 1995, 2902, 1979, 281, 682, 1339, 1772, 1309, 2340, 2768, 1576, 2590, 2425, 2268, 2898, 2796, 2471, 30, 1831, 2764, 389, 601, 1018, 157, 2964, 1236, 1262, 85, 919, 548, 1724, 1309, 904, 2526, 582, 1139, 247, 1699, 2992, 2750, 2232, 1549, 2160, 1182, 1696, 1518, 1635, 2593, 744, 1679, 1395}
Returns: 0.020965720951027427
500
5
{2900, 2456, 1607, 2786, 1613, 1098, 1821, 750, 11, 2671, 857, 2742, 2541, 585, 2434, 2248, 2969, 367, 2058, 2880, 708, 710, 1170, 481, 1178, 741, 2933, 1, 1146, 1765, 1187, 1618, 1755, 1837, 700, 2293, 2567, 203, 1492, 976, 1024, 299, 37, 1254, 1577, 13, 206, 2012, 2845, 1199, 1881, 1982, 2084, 2604, 2790, 1765, 2100, 2384, 2522, 2056, 2096, 445, 1767, 1732, 1353, 2846, 654, 1589, 1823, 2514, 1288, 2420, 861, 2030, 2234, 2588, 959, 2490, 2432, 879, 2512, 378, 457, 2794, 709, 269, 20, 2674, 456, 2730, 1515, 1568, 201, 1230, 2322, 2658, 2159, 270, 2522, 2414, 2138, 1623, 1414, 801, 1153, 1877, 1039, 1607, 749, 1886, 179, 2865, 2281, 2530, 896, 2571, 1524, 109, 1525, 2260, 1239, 438, 1146, 2405, 2427, 88, 551, 2367, 1913, 2008, 896, 885, 464, 1872, 1218, 390, 808, 2483, 33, 2647, 1052, 864, 2949, 322, 357, 135, 2669, 992, 214, 2537, 1989, 1453, 1273, 1982, 1034, 1829, 2497, 1274, 466, 111, 1113, 127, 1440, 2204, 2522, 1465, 2035, 1730, 1056, 835, 2012, 226, 605, 1708, 2313, 203, 2629, 371, 313, 483, 2641, 2214, 2081, 2273, 868, 2068, 506, 2953, 2582, 325, 2295, 2827, 2497, 1604, 2340, 917, 1337, 1183, 292, 185, 607, 790, 228, 691, 1674, 2700, 319, 82, 1123, 1824, 1869, 2309, 2659, 2222, 1481, 1798, 2503, 349, 1326, 2685, 195, 2322, 1177, 759, 2213, 2229, 2018, 2080, 967, 188, 1691, 794, 2045, 1711, 2859, 901, 1491, 151, 1994, 1867, 2588, 1921, 2056, 1824, 950, 545, 2589, 2836, 2975, 942, 797, 2440, 1730, 1641, 232, 1239, 8, 1914, 1341, 1165, 1205, 918, 1575, 1546, 2816, 1573, 2873, 1028, 1726, 2153, 2635, 2539, 1969, 2533, 1638, 2908, 598, 198, 863, 955, 2693, 332, 308, 2019, 2675, 1090, 840, 2827, 1543, 1478, 1707, 1653, 1533, 2714, 2140, 316, 2730, 782, 1068, 2490, 389, 635, 297, 2587, 961, 2247, 1525, 1524, 2652, 1249, 1895, 852, 1081, 2513, 2442, 1913, 806, 2117, 2012, 1280, 52, 1925, 442, 2829, 429, 2471, 1749, 2944, 1300, 2445, 2991, 1334, 829, 2484, 279, 1279, 590, 921, 2152, 839, 1729, 17, 428, 2871, 1007, 129, 1869, 2972, 2428, 2275, 2122, 851, 1713, 1831, 1692, 2832, 2026, 536, 1466, 1214, 1860, 2816, 1054, 2013, 1112, 658, 2236, 1750, 1498, 2008, 2282, 940, 376, 1716, 740, 373, 2465, 2132, 1386, 2619, 1548, 967, 929, 113, 2977, 1413, 1302, 1837, 1286, 224, 1461, 741, 1820, 2115, 1741, 2884, 728, 2123, 730, 2861, 1107, 1057, 162, 738, 1970, 884, 1216, 2399, 1717, 2765, 1303, 2288, 2825, 2924, 1265, 1778, 610, 923, 633, 1547, 309, 2000, 1791, 1825, 684, 87, 1055, 9, 1917, 217, 794, 713, 2195, 495, 2433, 1661, 928, 695, 2988, 2582, 1049, 2549, 579, 2181, 2700, 2271, 2285, 195, 1517, 2029, 1405, 312, 544, 2763, 1017, 1477, 334, 985, 2470, 25, 327, 1077, 1061, 1972, 2374, 273, 1833, 1794, 2690, 1786, 2180, 1551, 1152, 2727, 376, 194, 752, 2366, 2068, 2951, 2055, 170, 638, 1281, 484, 1638, 2053, 430, 1740, 559, 1721, 1, 2024, 1759, 2655, 1415, 491, 2781, 61, 1188}
Returns: 0.003037962381587086
500
500
{2744, 2775, 1099, 1035, 14, 1810, 2860, 1968, 2086, 872, 2144, 752, 1358, 2403, 1507, 1995, 2267, 808, 2844, 305, 2260, 1601, 1242, 931, 2300, 1110, 2259, 1664, 2375, 2289, 293, 1045, 1780, 1498, 754, 2209, 370, 737, 228, 364, 1080, 1613, 1456, 2196, 1613, 1218, 421, 918, 2351, 1783, 2584, 2827, 515, 1483, 1201, 759, 1695, 2986, 1119, 1515, 2166, 2890, 2226, 1044, 2000, 1286, 1688, 449, 1431, 2762, 2731, 287, 2645, 2146, 2210, 1437, 2066, 2435, 2363, 1373, 2565, 1610, 1412, 162, 269, 1086, 1485, 988, 105, 837, 1737, 788, 2570, 1396, 138, 1161, 1580, 2618, 85, 2483, 1361, 1050, 769, 1727, 1657, 2412, 2367, 162, 2652, 2995, 1435, 1896, 1869, 553, 1442, 1462, 169, 768, 1401, 471, 1741, 742, 495, 2019, 1567, 154, 390, 1782, 2272, 654, 1023, 260, 1480, 2400, 2053, 1138, 2166, 1587, 2440, 1851, 2171, 951, 2219, 1219, 2428, 1103, 1267, 1924, 1269, 1312, 1498, 358, 567, 2683, 895, 1664, 1873, 1043, 141, 2324, 130, 2675, 1481, 1393, 2279, 2686, 1426, 1532, 444, 1857, 745, 661, 2118, 2401, 54, 354, 655, 2425, 1941, 1458, 2791, 630, 275, 1860, 904, 2515, 146, 2794, 2633, 1310, 235, 42, 1233, 2109, 2566, 1150, 1864, 2474, 2152, 1827, 2800, 563, 1565, 910, 2285, 1433, 313, 1861, 1406, 13, 1998, 590, 2407, 2152, 1220, 2860, 2275, 2494, 430, 1940, 951, 1912, 1131, 57, 335, 675, 15, 2879, 2936, 2637, 2294, 370, 423, 1548, 770, 942, 2494, 159, 1494, 2343, 2500, 708, 209, 982, 600, 1220, 2543, 2116, 817, 832, 2883, 1039, 498, 114, 2043, 645, 2310, 1413, 758, 1424, 734, 1662, 1603, 732, 1345, 710, 873, 718, 2399, 2185, 184, 2444, 1816, 1454, 2157, 332, 795, 163, 2996, 725, 111, 1815, 1385, 2838, 1370, 1104, 1634, 2845, 431, 1368, 1470, 1730, 2213, 2906, 1040, 2676, 2281, 871, 1389, 209, 489, 1769, 391, 359, 2312, 1548, 1255, 2095, 822, 1791, 33, 2701, 2100, 110, 1278, 1722, 2494, 1813, 402, 2623, 721, 66, 1092, 2371, 2267, 345, 362, 2698, 44, 2924, 2226, 133, 2768, 1279, 2217, 1077, 2734, 2446, 2926, 2439, 245, 2301, 517, 1339, 983, 1996, 408, 2940, 2188, 1977, 1669, 368, 905, 1680, 1418, 2456, 55, 2, 1982, 2026, 547, 557, 1102, 313, 1451, 1047, 667, 657, 1945, 2097, 1937, 1863, 247, 2832, 524, 1901, 2226, 1552, 2519, 1259, 2267, 2238, 2068, 1899, 2755, 2639, 1648, 2856, 2024, 156, 91, 987, 77, 257, 358, 2932, 899, 143, 94, 1117, 630, 1489, 2065, 317, 2709, 2279, 2283, 17, 2734, 1324, 2740, 2440, 1184, 1309, 559, 2400, 921, 982, 44, 429, 1711, 223, 1398, 5, 2640, 2982, 1928, 2283, 765, 514, 437, 1501, 247, 92, 2150, 1445, 920, 1803, 171, 2471, 1423, 1454, 582, 2576, 1715, 2751, 1965, 1358, 1235, 2420, 848, 2472, 1620, 1030, 720, 2679, 823, 282, 340, 2023, 1244, 16, 1333, 1496, 940, 522, 2337, 337, 1639, 2522, 1622, 31, 750, 1044, 1782, 858, 1814, 1645, 602, 1317, 1506, 403, 1186, 81, 622, 1679, 1992, 2753, 382, 443, 365, 2294, 2546, 1585, 812, 1863, 2375, 2289, 2710, 677}
Returns: 0.0022526404930238667
500
1
{541, 1178, 1444, 1084, 134, 755, 513, 953, 1851, 2934, 795, 755, 2650, 755, 1573, 583, 2433, 1373, 193, 1538, 2998, 2465, 1389, 1048, 41, 1307, 1535, 2636, 761, 128, 527, 1292, 706, 791, 1658, 99, 2584, 2279, 1265, 450, 2379, 387, 1908, 2183, 2307, 2470, 1344, 1937, 287, 292, 110, 877, 1058, 1073, 937, 1749, 299, 819, 2844, 1362, 2284, 2010, 1981, 1169, 631, 1265, 2710, 697, 2553, 958, 46, 2908, 1044, 355, 2965, 992, 1145, 631, 1129, 2992, 1277, 2318, 1595, 2403, 1659, 674, 487, 2758, 1064, 2414, 533, 857, 1629, 1605, 1094, 2786, 2114, 1263, 466, 2257, 556, 2383, 1719, 2552, 1256, 2716, 1596, 1009, 2242, 78, 1396, 87, 1807, 84, 1361, 1320, 1213, 2471, 347, 1423, 1328, 1562, 498, 1039, 324, 2016, 1900, 2217, 1559, 2779, 2300, 602, 3000, 467, 1501, 1072, 385, 2777, 2191, 75, 1712, 1351, 1927, 1459, 2125, 1386, 1966, 1905, 875, 2013, 1459, 2551, 129, 278, 2247, 1618, 2506, 2855, 2608, 1514, 452, 2178, 2954, 308, 2151, 954, 244, 414, 2485, 1942, 2853, 2678, 1935, 711, 1258, 2114, 823, 2872, 2327, 2057, 1663, 845, 2963, 736, 261, 1655, 2878, 2013, 2668, 680, 520, 2009, 2939, 2077, 2356, 875, 146, 275, 2466, 2427, 1803, 2631, 2556, 1358, 1157, 965, 1638, 314, 692, 1289, 154, 2301, 1812, 1499, 374, 1664, 388, 1854, 2528, 1145, 1752, 1204, 2048, 2919, 2740, 1711, 1106, 2224, 1097, 2250, 947, 2417, 1462, 1137, 74, 232, 61, 289, 1175, 121, 2782, 748, 239, 2590, 2126, 10, 1160, 693, 1909, 32, 1063, 1973, 339, 2476, 1824, 1682, 45, 1192, 1902, 1497, 2214, 130, 1897, 2269, 25, 1430, 384, 1758, 631, 181, 730, 1062, 317, 1307, 2649, 2887, 12, 1471, 2562, 2970, 1030, 829, 521, 37, 895, 1712, 1909, 297, 722, 333, 1452, 132, 712, 1086, 312, 2986, 1628, 1924, 2047, 2073, 587, 1293, 1734, 951, 1426, 269, 925, 2407, 152, 1339, 2688, 1014, 1657, 239, 39, 1226, 919, 644, 898, 1087, 363, 2114, 188, 1070, 2109, 1672, 1889, 2898, 1532, 2211, 2508, 307, 71, 2910, 171, 265, 1798, 567, 773, 787, 562, 393, 2584, 1730, 21, 2873, 1313, 1480, 401, 785, 1, 109, 1527, 250, 194, 2081, 2679, 1491, 631, 602, 1237, 596, 1694, 1063, 494, 1966, 1888, 2268, 1091, 2925, 2996, 1775, 1495, 1465, 549, 913, 2952, 673, 2215, 1969, 1887, 44, 452, 90, 2482, 2687, 2370, 579, 2549, 2169, 2283, 197, 92, 1514, 2772, 1010, 1929, 2264, 217, 614, 2311, 1439, 480, 1281, 2317, 1672, 1879, 2120, 16, 1714, 2059, 1689, 2207, 200, 2101, 2974, 1984, 1383, 2878, 2527, 61, 1539, 1265, 1515, 1858, 488, 1888, 2827, 611, 101, 1546, 2427, 1276, 28, 2259, 235, 98, 879, 456, 2507, 577, 2796, 1651, 2776, 1419, 78, 844, 69, 1458, 2319, 2789, 1895, 2848, 714, 707, 2799, 2340, 795, 679, 1458, 2841, 526, 1157, 948, 2577, 917, 2304, 305, 1842, 293, 2064, 2166, 2342, 2978, 1567, 411, 2112, 2744, 1454, 155, 203, 1077, 2605, 338, 242, 130, 423, 1291, 1923, 2630, 1796, 357, 660, 2057, 2157, 1926, 2101, 2100, 2849, 1098}
Returns: 0.002081756069675968
500
69
{10, 6, 9, 9, 4, 2, 1, 9, 5, 2, 3, 1, 2, 9, 1, 1, 4, 6, 8, 6, 8, 10, 2, 5, 9, 6, 7, 7, 4, 5, 5, 9, 5, 9, 6, 6, 2, 9, 10, 7, 7, 1, 3, 8, 10, 3, 2, 3, 4, 10, 7, 4, 1, 4, 7, 9, 6, 10, 5, 10, 6, 7, 3, 8, 5, 7, 1, 4, 2957, 9, 4, 3, 2, 3, 5, 4, 3, 2, 8, 7, 9, 4, 7, 9, 5, 3, 9, 2, 8, 1, 9, 9, 6, 5, 10, 6, 8, 3, 10, 5, 10, 5, 2, 5, 6, 5, 9, 9, 9, 10, 10, 9, 2, 3, 3, 8, 1, 1, 4, 9, 3, 1, 9, 8, 6, 8, 3, 7, 2, 5, 5, 3, 7, 2, 8, 2, 7, 2, 2, 9, 5, 8, 4, 10, 2, 3, 6, 8, 9, 2, 5, 3, 5, 8, 10, 9, 8, 2, 7, 7, 2, 5, 6, 2, 2, 2, 5, 5, 7, 5, 2, 6, 3, 2, 2, 10, 3, 7, 7, 10, 1, 7, 3, 9, 5, 1, 10, 6, 1, 5, 8, 8, 9, 9, 5, 9, 8, 9, 5, 5, 9, 6, 10, 2, 3, 9, 2, 1, 7, 4, 4, 10, 8, 9, 7, 2, 1, 10, 4, 7, 6, 1, 3, 7, 9, 6, 3, 2, 10, 6, 4, 3, 1, 6, 2, 1, 6, 9, 8, 9, 10, 8, 1, 6, 4, 9, 10, 3, 3, 6, 8, 2, 10, 10, 8, 4, 9, 4, 5, 6, 10, 3, 6, 4, 7, 6, 2, 4, 9, 4, 2, 6, 2, 9, 1, 2, 4, 5, 1, 6, 3, 4, 7, 3, 5, 5, 2, 7, 1, 10, 3, 1, 6, 1, 2, 2, 2, 2, 1, 8, 9, 3, 3, 9, 1, 1, 3, 3, 5, 7, 10, 6, 4, 9, 4, 4, 10, 5, 1, 9, 9, 8, 6, 4, 6, 7, 9, 7, 8, 7, 9, 6, 8, 9, 7, 3, 7, 1, 1, 8, 4, 2, 3, 8, 7, 1, 2, 9, 3, 4, 8, 2, 3, 2, 2, 7, 6, 10, 10, 1, 5, 9, 7, 2, 7, 3, 4, 8, 6, 1, 9, 1, 10, 6, 9, 4, 10, 6, 7, 6, 4, 1, 7, 8, 10, 9, 1, 6, 6, 10, 2, 9, 2, 6, 1, 6, 5, 2, 8, 1, 7, 8, 4, 6, 3, 8, 1, 5, 2, 7, 10, 4, 8, 2, 2, 5, 9, 8, 8, 7, 7, 5, 1, 10, 8, 5, 4, 1, 2, 3, 4, 7, 1, 6, 1, 4, 8, 9, 4, 6, 10, 2, 4, 5, 10, 2, 2, 2, 8, 5, 6, 7, 3, 1, 3, 6, 1, 1, 4, 4, 2, 5, 4, 8, 5, 6, 2, 2, 6, 7, 4, 10, 5, 10, 1, 10, 3, 1, 3, 7, 6, 3, 2, 7, 1, 9, 8, 5, 8, 2, 8, 8, 10, 10, 6, 2, 6, 3, 1, 9}
Returns: 0.9733593562537107
500
142
{2884, 2207, 2714, 2219, 2831, 2927, 2187, 2603, 2498, 2836, 2850, 2704, 2027, 2743, 2569, 2740, 2843, 2231, 2278, 2792, 2070, 2555, 2626, 2890, 2261, 2712, 2345, 2415, 2376, 2460, 2877, 2829, 2062, 2096, 2691, 2802, 2548, 2069, 2726, 2599, 2200, 2385, 2369, 2246, 2428, 2566, 2968, 2229, 2398, 2439, 2403, 2824, 2125, 2090, 2209, 2488, 2040, 2211, 2999, 2574, 2919, 2139, 2510, 2265, 2083, 2975, 2277, 2013, 2113, 2722, 2301, 2122, 2164, 2271, 2332, 2686, 2726, 2463, 2576, 2778, 2852, 2568, 2562, 2292, 2927, 2063, 2526, 2678, 2060, 2905, 2972, 2108, 2215, 2455, 2105, 2367, 2535, 2397, 2906, 2986, 2535, 2948, 2328, 2983, 2468, 2117, 2970, 2277, 2709, 2621, 2368, 2673, 2186, 2901, 2041, 2774, 2116, 2742, 2590, 2913, 2405, 2549, 2589, 2181, 2474, 2419, 2087, 2313, 2617, 2546, 2363, 2287, 2842, 2508, 2832, 2664, 2222, 2991, 2267, 2326, 2041, 13, 2422, 2362, 2823, 2130, 2058, 2079, 2965, 2538, 2417, 2316, 2576, 2537, 2567, 2801, 2132, 2893, 2182, 2432, 2186, 2195, 2764, 2662, 2277, 2252, 2697, 2461, 2638, 2891, 2117, 2294, 2009, 2245, 2515, 2907, 2075, 2209, 2148, 2069, 2829, 2801, 2860, 2058, 2239, 2218, 2719, 2873, 2066, 2480, 2581, 2141, 2218, 2146, 2535, 2520, 2335, 2486, 2341, 2302, 2061, 2235, 2922, 2659, 2337, 2107, 2236, 2965, 2923, 2977, 2457, 2435, 2418, 2858, 2168, 2074, 2798, 2550, 2900, 2391, 2609, 2311, 2088, 2699, 2686, 2214, 2701, 2723, 2815, 2174, 2393, 2868, 2871, 2058, 2055, 2159, 2660, 2864, 2881, 2648, 2689, 2468, 2798, 2713, 2599, 2311, 2748, 2490, 2389, 2186, 2008, 2682, 2809, 2854, 2362, 2802, 2874, 2361, 2807, 2175, 2670, 2027, 2583, 2679, 2435, 2572, 2715, 2635, 2974, 2880, 2473, 2729, 2661, 2190, 2952, 2244, 2461, 2376, 2271, 2466, 2145, 2068, 2923, 2284, 2339, 2707, 2739, 2536, 2054, 2653, 2837, 2866, 2327, 2294, 2472, 2305, 2322, 2718, 2149, 2353, 2796, 2532, 2526, 2415, 2237, 2893, 2130, 2887, 2516, 2939, 2263, 2805, 2214, 2500, 2450, 2051, 2158, 2424, 2511, 2697, 2203, 2542, 2859, 2128, 2459, 2514, 2433, 2073, 2524, 2284, 2298, 2835, 2949, 2218, 2626, 2563, 2252, 2254, 2135, 2035, 2472, 2144, 2197, 2067, 2978, 2151, 2564, 2667, 2826, 2690, 2932, 2538, 2894, 2396, 2729, 2937, 2170, 2675, 2241, 2346, 2047, 2627, 2738, 2150, 2487, 2602, 2045, 2686, 2853, 2371, 2596, 2941, 2892, 2680, 2054, 2637, 2953, 2531, 2120, 2820, 2553, 2444, 2455, 2350, 2807, 2616, 2097, 2395, 2459, 2865, 2566, 2209, 2604, 2329, 2653, 2113, 2450, 2060, 2896, 2797, 2738, 2457, 2733, 2533, 2429, 2505, 2102, 2392, 2034, 2913, 2845, 2588, 2991, 2580, 2944, 2143, 2801, 2349, 2175, 2826, 2891, 2575, 2803, 2280, 2258, 2864, 2974, 2138, 2606, 2874, 2214, 2211, 2498, 2228, 2865, 2414, 2178, 2157, 2953, 2044, 2679, 2628, 2746, 2526, 2662, 2914, 2411, 2476, 2438, 2096, 2819, 2412, 2285, 2546, 2166, 2364, 2260, 2584, 2362, 2107, 2406, 2679, 2313, 2650, 2340, 2385, 2918, 2480, 2801, 2902, 2001, 2037, 2251, 2985, 2472, 2274, 2146, 2846, 2811, 2609, 2518, 2165, 2848, 2419, 2129, 2570, 2619, 2539, 2528, 2421, 2825, 2751, 2773, 2335, 2259, 2210, 2365, 2857, 2465, 2885}
Returns: 5.384525749045597E-10
98
19
{2264, 329, 322, 1907, 2741, 1972, 1930, 2338, 711, 694, 948, 2315, 328, 1505, 2042, 271, 2902, 1642, 2393, 111, 1120, 421, 1535, 1137, 687, 654, 1080, 1521, 2359, 741, 897, 606, 960, 2093, 1691, 747, 246, 1823, 778, 1551, 1194, 721, 2462, 461, 853, 2665, 438, 377, 2800, 440, 2259, 331, 173, 2248, 875, 890, 1350, 405, 2379, 129, 1657, 1051, 1227, 1520, 1276, 252, 539, 678, 2752, 494, 2424, 2906, 2079, 2941, 598, 284, 368, 2573, 753, 2406, 2875, 2969, 2280, 2353, 2851, 998, 1513, 387, 124, 2205, 2481, 406, 2730, 958, 2269, 2964, 755, 698}
Returns: 0.02268166147687217
99
9
{1773, 2352, 1412, 194, 1288, 2911, 2020, 2820, 877, 954, 323, 2062, 2716, 730, 1243, 2852, 2632, 766, 2777, 1167, 2264, 2759, 910, 2324, 384, 1124, 854, 1050, 46, 1413, 1397, 1661, 851, 2539, 2641, 2175, 2914, 994, 1206, 934, 441, 2499, 514, 1500, 2337, 256, 206, 178, 726, 147, 882, 2886, 2077, 2655, 2796, 1063, 800, 2534, 133, 1350, 1474, 1266, 78, 1601, 2833, 732, 805, 1636, 2164, 622, 1514, 1042, 1563, 2354, 2217, 2061, 842, 1822, 2236, 1556, 1000, 1261, 662, 2724, 1369, 1183, 1890, 813, 1082, 961, 741, 1642, 2071, 2841, 1793, 337, 1907, 463, 2644}
Returns: 0.0012773876702554655
99
50
{566, 279, 2864, 1302, 896, 1003, 1974, 2863, 772, 1899, 1299, 68, 2646, 957, 1892, 834, 574, 2283, 873, 1866, 1372, 536, 1357, 1579, 2500, 2298, 8, 1196, 2124, 60, 1579, 402, 2863, 1932, 220, 1673, 119, 2709, 227, 1114, 2963, 104, 2675, 1994, 2820, 2390, 2104, 1186, 1288, 2169, 2520, 2145, 1645, 2276, 145, 358, 907, 22, 1945, 772, 994, 1220, 732, 2205, 2188, 463, 2087, 649, 988, 513, 2013, 2341, 426, 832, 1509, 2282, 2902, 1809, 1463, 1390, 2749, 1910, 2726, 2674, 576, 256, 2942, 1077, 2707, 2564, 2142, 1338, 461, 1364, 1235, 228, 128, 957, 2555}
Returns: 0.008530431548506362
100
7
{284, 184, 1854, 1439, 779, 2703, 1643, 1293, 2807, 1362, 2786, 2329, 1586, 1966, 2015, 976, 2629, 707, 1706, 191, 489, 2119, 1739, 561, 387, 629, 1329, 1382, 1862, 1254, 2467, 807, 2978, 2354, 1244, 1585, 1934, 590, 2907, 824, 1601, 965, 931, 1092, 2300, 2725, 2086, 582, 2446, 2812, 2183, 1440, 799, 1069, 2182, 31, 2366, 1122, 1341, 1059, 2375, 119, 756, 910, 1092, 1487, 1533, 1621, 2948, 141, 2942, 1087, 810, 2686, 403, 1101, 2198, 572, 231, 2693, 1384, 667, 2722, 2176, 2803, 53, 2993, 629, 2325, 1608, 1370, 1525, 1421, 2205, 1600, 2501, 981, 256, 156, 665}
Returns: 0.010251600131118116
100
72
{1379, 937, 1206, 351, 2807, 485, 230, 128, 1495, 381, 738, 846, 84, 2200, 500, 1904, 758, 1376, 280, 1759, 1881, 2133, 708, 725, 1838, 2186, 925, 2280, 1725, 2425, 1057, 2896, 2993, 1058, 281, 393, 2265, 296, 132, 1920, 2013, 1169, 384, 1096, 930, 1696, 30, 1882, 2613, 1494, 1799, 2583, 2776, 1912, 863, 718, 2834, 937, 643, 385, 2348, 695, 2802, 1853, 963, 2021, 1378, 2334, 913, 1415, 2229, 816, 757, 600, 2937, 2531, 783, 2233, 2853, 2767, 336, 115, 528, 697, 85, 886, 2005, 2840, 1258, 7, 2606, 1518, 1915, 2982, 1731, 1519, 2171, 2623, 924, 2051}
Returns: 6.00601073585299E-4
100
51
{1899, 1890, 2085, 2381, 1708, 972, 682, 368, 760, 258, 2926, 175, 1640, 810, 1102, 649, 663, 2154, 10, 2720, 1705, 2521, 242, 2155, 1082, 2627, 1705, 548, 2692, 2076, 2532, 969, 1609, 1785, 1968, 2871, 2134, 1899, 664, 2034, 2949, 1084, 1068, 75, 1778, 2002, 1548, 2685, 37, 2994, 1443, 170, 2594, 1122, 1126, 962, 51, 1082, 1887, 2561, 1426, 1744, 727, 137, 209, 1160, 1091, 1404, 2076, 66, 817, 2562, 2404, 2724, 326, 1838, 437, 2526, 2312, 2235, 1844, 1033, 2986, 1597, 291, 1312, 1858, 2678, 1339, 2179, 1889, 340, 897, 875, 930, 1173, 1901, 1966, 69, 1980}
Returns: 0.0031274187342197174
100
97
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Returns: 0.00415589147692158
200
3
{1587, 314, 1299, 67, 119, 2934, 1938, 2063, 2901, 1810, 1380, 1815, 2997, 910, 2238, 2800, 1386, 1974, 1279, 2858, 53, 2580, 1333, 1038, 106, 423, 1357, 618, 356, 126, 1852, 2380, 1721, 421, 1764, 2841, 1803, 2587, 1820, 757, 2180, 487, 88, 2533, 1890, 2090, 355, 2206, 1526, 288, 492, 1048, 1648, 2188, 1872, 1439, 1199, 2676, 46, 2347, 1857, 739, 2798, 1011, 2326, 2818, 637, 1934, 1452, 2736, 828, 1501, 1811, 2078, 1602, 511, 1304, 2645, 780, 1190, 143, 2769, 999, 2673, 954, 1375, 1140, 2817, 223, 598, 1279, 2675, 2399, 1305, 2038, 86, 1773, 2233, 609, 2892, 2334, 1388, 282, 527, 2075, 2819, 2070, 2699, 2956, 1590, 1963, 2979, 1617, 96, 1106, 61, 1481, 2686, 1373, 2696, 58, 803, 1997, 23, 833, 876, 2684, 1764, 1189, 1780, 953, 999, 557, 2471, 2685, 1739, 2082, 2351, 1966, 1634, 1407, 989, 2149, 1360, 493, 2540, 2529, 1589, 2674, 1538, 493, 1750, 1102, 1992, 1868, 1886, 803, 115, 1402, 175, 2457, 706, 289, 1180, 2428, 1809, 2398, 2430, 1214, 420, 1372, 2705, 875, 438, 378, 121, 2782, 2861, 446, 1512, 2172, 1674, 2286, 1166, 1372, 2751, 1859, 2975, 510, 1276, 760, 344, 1184, 2320, 2588, 1135, 1898, 297, 1853, 2326}
Returns: 0.011062017828547181
200
17
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Returns: 1.3558821989347946E-5
200
42
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Returns: 0.002597003390916216
200
100
{2731, 2820, 1247, 607, 2592, 2639, 1033, 2118, 556, 37, 2315, 1012, 139, 1841, 1995, 158, 331, 769, 1348, 2367, 2099, 588, 1102, 1328, 2036, 1909, 1997, 2084, 392, 1689, 2110, 209, 944, 1361, 1096, 1908, 441, 2268, 2463, 1133, 659, 1265, 2779, 1988, 2804, 1241, 2908, 899, 2846, 2518, 850, 2736, 1025, 1581, 2052, 2958, 2273, 1826, 71, 91, 1975, 1210, 349, 1076, 569, 1688, 2678, 2196, 7, 43, 2714, 284, 1560, 2605, 107, 149, 2621, 376, 230, 2453, 2207, 1068, 1441, 1509, 981, 737, 829, 1105, 1078, 7, 1601, 1066, 1674, 386, 1745, 1880, 2149, 2291, 2663, 648, 1212, 1164, 2436, 1550, 1475, 2111, 1849, 2275, 1936, 596, 1685, 1734, 1434, 69, 1999, 478, 342, 1369, 213, 2319, 2964, 187, 627, 2036, 140, 1532, 2574, 342, 1093, 2207, 420, 276, 1520, 2968, 624, 2723, 755, 337, 137, 1864, 211, 2046, 1526, 772, 545, 2746, 217, 533, 2500, 196, 866, 2143, 920, 1555, 2412, 1042, 1177, 753, 2573, 461, 2577, 2567, 1256, 1094, 2879, 1040, 2229, 2268, 360, 2961, 1757, 2669, 1206, 105, 782, 1377, 374, 1722, 1035, 670, 2100, 625, 2418, 1991, 1045, 469, 73, 2608, 164, 1482, 2907, 22, 524, 1713, 2601, 42, 2581, 777, 2809, 1401}
Returns: 6.895565379149019E-5
200
155
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Returns: 0.003737886062400394
200
191
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Returns: 0.002155733642104148
300
2
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Returns: 3.0870048917273106E-5
300
13
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Returns: 0.016360657339523705
300
69
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Returns: 9.410874440146597E-5
300
111
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Returns: 2.015704666504344E-6
300
150
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Returns: 0.0016051865008255225
300
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Returns: 0.0020015181862800147
300
222
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Returns: 0.011160604748913366
300
279
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Returns: 0.0075864618302034365
500
1
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Returns: 0.0039634135822034745
500
5
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Returns: 7.314820428892237E-5
500
10
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Returns: 0.006370196655663144
500
20
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Returns: 0.006446947428355305
500
50
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Returns: 1.6854433025553434E-7
500
100
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Returns: 5.597968948488392E-4
500
200
{2613, 1437, 1226, 39, 1175, 1580, 2343, 1481, 1423, 1834, 2393, 1356, 2444, 69, 1321, 1143, 653, 2730, 1691, 1852, 2242, 1922, 2148, 1092, 1949, 2090, 2202, 2905, 2615, 1922, 1778, 2033, 2968, 1783, 1091, 2210, 1759, 156, 1208, 1684, 1855, 186, 1425, 734, 172, 619, 2758, 2820, 1081, 699, 537, 574, 2651, 591, 58, 2449, 2010, 2520, 2123, 1580, 2527, 275, 1175, 1171, 562, 1176, 2779, 2287, 2224, 1499, 18, 2161, 1982, 50, 2122, 2449, 291, 749, 2451, 75, 1300, 394, 1912, 2686, 140, 638, 1062, 2775, 2036, 1737, 2342, 232, 1945, 464, 1239, 588, 2793, 2388, 2643, 221, 1936, 782, 2307, 158, 175, 1338, 2811, 142, 1589, 852, 455, 1163, 2494, 2248, 597, 2029, 1575, 1665, 26, 2133, 2181, 1887, 958, 2821, 834, 2934, 1798, 1502, 356, 1230, 1286, 631, 1821, 1516, 1055, 2409, 2148, 2205, 212, 1043, 1880, 880, 517, 2999, 712, 2976, 2938, 2729, 181, 2207, 2757, 1138, 1274, 1354, 2092, 2851, 1214, 1610, 2491, 861, 976, 609, 2158, 281, 1159, 1348, 469, 2428, 2005, 2905, 2921, 1193, 2957, 2762, 1193, 190, 2767, 516, 293, 2666, 966, 299, 1207, 1179, 982, 2744, 953, 2341, 2124, 434, 729, 2628, 2309, 1127, 905, 2286, 90, 1356, 2282, 507, 964, 1105, 2129, 427, 1314, 139, 1829, 2982, 603, 712, 514, 676, 1843, 604, 732, 2324, 966, 2553, 942, 2861, 2776, 861, 1224, 935, 2134, 1297, 2485, 2399, 1848, 2025, 321, 597, 2467, 2408, 101, 1115, 2713, 584, 1891, 1769, 2479, 2005, 1724, 461, 1951, 1724, 2044, 2468, 2493, 1464, 1061, 2048, 2411, 1850, 2979, 2742, 1315, 61, 1309, 1993, 843, 89, 313, 1485, 2904, 1119, 87, 1482, 31, 2820, 1543, 416, 2368, 775, 966, 1073, 2097, 2347, 1007, 1784, 1375, 324, 2206, 823, 1441, 405, 2475, 912, 189, 1236, 2543, 2487, 113, 779, 1124, 616, 1813, 12, 1324, 2993, 885, 1062, 1044, 390, 2914, 1461, 1793, 1804, 2599, 1104, 2300, 1973, 2744, 2930, 873, 183, 2870, 322, 1953, 1900, 2594, 1455, 1915, 2503, 833, 2905, 2359, 912, 372, 793, 499, 300, 352, 796, 1189, 2391, 316, 1623, 2043, 693, 94, 2702, 2337, 2525, 553, 477, 745, 2706, 991, 2059, 1539, 1960, 2596, 2175, 1038, 1996, 434, 1330, 2140, 216, 479, 2030, 2912, 2631, 2183, 1641, 133, 778, 2190, 1112, 148, 1995, 1876, 1024, 951, 1620, 2666, 900, 1790, 539, 2095, 849, 167, 1449, 854, 912, 395, 2687, 2423, 544, 797, 1460, 1772, 76, 702, 699, 1462, 144, 441, 998, 820, 98, 711, 1854, 36, 2311, 1119, 168, 2086, 2565, 1662, 63, 2212, 539, 80, 2289, 2777, 2731, 361, 511, 804, 512, 229, 974, 490, 954, 2574, 614, 1334, 1267, 2674, 392, 1826, 595, 2412, 2518, 856, 1545, 2572, 831, 884, 401, 451, 2895, 774, 2675, 2079, 1271, 1987, 474, 1678, 1090, 2140, 1181, 312, 1515, 798, 2514, 2310, 723, 590, 2164, 640, 365, 2226, 696, 59, 159, 758, 820, 184, 1627, 323, 5, 724, 2813, 2616, 633, 2907, 2205, 458, 2096, 692, 2146, 2199, 1802, 1057, 1124, 2558, 1447, 461, 1018, 224, 1977, 2243, 349, 2811, 1629, 560, 2556}
Returns: 8.033065643896004E-6
500
250
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Returns: 5.703270224268263E-4
500
300
{2955, 538, 2169, 2051, 319, 2512, 2686, 222, 218, 2493, 838, 2752, 1334, 1893, 1729, 284, 1208, 395, 80, 1956, 2742, 1932, 1217, 2531, 2177, 2842, 1698, 1223, 1193, 1677, 1760, 1395, 6, 1440, 15, 2285, 452, 2885, 2925, 2238, 2188, 924, 1166, 2724, 2117, 2258, 1730, 2616, 553, 2522, 2836, 1570, 2717, 2708, 1994, 2388, 259, 1271, 1679, 2269, 2318, 1554, 2437, 1009, 2602, 1462, 2171, 683, 1001, 1559, 172, 2113, 245, 1530, 942, 1784, 1452, 2446, 2695, 1489, 2383, 754, 1115, 42, 1551, 2727, 2078, 2402, 2643, 873, 327, 2975, 733, 2024, 1912, 2412, 334, 1925, 967, 566, 2615, 116, 803, 2381, 1489, 218, 576, 1488, 1144, 1583, 1889, 2781, 2925, 1330, 2385, 561, 353, 52, 1188, 304, 2497, 1686, 1729, 1725, 2573, 2058, 2108, 1017, 1943, 2910, 1698, 1432, 957, 491, 2925, 1580, 2160, 1738, 2993, 2217, 2878, 691, 2728, 1279, 2268, 1167, 2467, 296, 1524, 330, 640, 1390, 917, 2328, 1840, 1536, 1095, 292, 1352, 72, 441, 2105, 2342, 2957, 652, 1879, 2196, 2417, 1966, 1876, 2621, 1456, 398, 1328, 1646, 2917, 990, 2021, 2243, 1725, 2689, 1434, 1528, 921, 2542, 327, 1462, 1922, 188, 2853, 2871, 2162, 2177, 2309, 110, 113, 450, 1546, 1956, 1299, 1852, 1246, 657, 2943, 2453, 467, 198, 2427, 1627, 2319, 1817, 1042, 781, 1142, 905, 1766, 224, 27, 238, 995, 784, 816, 1786, 205, 20, 1493, 474, 1322, 150, 1456, 2826, 2482, 427, 1327, 161, 1032, 1389, 956, 623, 1711, 270, 492, 67, 2147, 669, 1643, 2138, 2873, 1212, 938, 1869, 1854, 1191, 2620, 2200, 1321, 888, 54, 817, 1318, 2584, 2243, 2691, 2544, 2106, 642, 509, 414, 2600, 1148, 2758, 1798, 1188, 941, 2027, 1934, 2578, 2947, 1299, 637, 2748, 1132, 2914, 1136, 2705, 859, 809, 2331, 1038, 2714, 1113, 1439, 2941, 2363, 2803, 1464, 368, 431, 1327, 1767, 1080, 1034, 8, 1027, 2238, 495, 290, 2218, 1930, 2645, 2191, 1534, 1025, 2033, 2963, 2877, 2743, 121, 2815, 650, 971, 911, 2344, 2240, 620, 376, 693, 2106, 966, 2613, 2901, 257, 2738, 2517, 894, 2171, 1789, 740, 2889, 2871, 535, 681, 371, 1792, 2866, 877, 500, 992, 2344, 653, 1835, 865, 1506, 1912, 2785, 673, 2380, 2834, 2257, 1380, 2764, 2048, 2902, 1370, 2450, 2928, 999, 2713, 360, 222, 2962, 921, 95, 342, 1813, 258, 2204, 1204, 302, 422, 1508, 1258, 283, 2246, 1863, 244, 2852, 2895, 1527, 1608, 1847, 848, 298, 329, 53, 2477, 57, 2002, 277, 1831, 2531, 2465, 2839, 732, 2618, 2705, 1397, 2792, 847, 1304, 1266, 851, 252, 1931, 159, 2578, 26, 1103, 2724, 2279, 1136, 1290, 2409, 871, 171, 1786, 395, 2817, 2796, 326, 1301, 1919, 891, 737, 2612, 84, 2957, 2473, 1559, 2660, 195, 581, 712, 1900, 1149, 2489, 98, 2645, 605, 1440, 2634, 320, 355, 2324, 1742, 2159, 115, 1888, 966, 1149, 1203, 2946, 2022, 1191, 2236, 279, 2474, 2273, 475, 2856, 1872, 337, 2642, 202, 664, 1139, 970, 1672, 95, 1784, 2860, 675, 2935, 1592, 1850, 445, 731, 1264, 1588, 122, 1665, 2504, 2625, 2613, 2351, 2372, 2514, 2688, 1473, 1412}
Returns: 0.001036500715304255
500
420
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Returns: 0.002252947820926333
500
450
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Returns: 3.202752885808371E-4
500
478
{2398, 454, 1610, 185, 2820, 178, 1246, 1020, 1153, 2703, 898, 2811, 2630, 450, 594, 221, 2158, 643, 1235, 2926, 151, 1393, 1630, 507, 2931, 584, 2288, 2475, 972, 20, 2791, 2657, 2252, 307, 2832, 534, 2749, 2161, 2816, 282, 260, 454, 645, 2866, 183, 951, 2922, 1765, 319, 696, 2443, 2459, 1542, 2904, 136, 1824, 2584, 2460, 272, 2663, 1975, 632, 2961, 2025, 1142, 1197, 1026, 2675, 1990, 2751, 505, 1329, 1734, 2221, 1373, 86, 840, 1167, 1561, 711, 2679, 800, 2297, 1181, 2054, 339, 665, 2355, 1890, 1890, 1547, 1753, 2852, 591, 1579, 1340, 1526, 206, 2977, 445, 2435, 1027, 1616, 2869, 1911, 2720, 98, 1249, 1006, 266, 611, 2755, 2467, 925, 792, 1764, 709, 2515, 2816, 23, 1131, 401, 603, 1848, 2991, 2598, 123, 781, 1944, 2301, 2720, 659, 2773, 325, 1297, 1797, 2100, 494, 2359, 1847, 1630, 1776, 437, 781, 432, 1961, 628, 1899, 698, 1854, 1413, 530, 807, 1745, 1535, 959, 1484, 1115, 2237, 931, 1623, 1408, 615, 2302, 2698, 1748, 1073, 417, 2701, 61, 644, 1084, 1255, 2481, 1881, 1441, 1635, 777, 2847, 558, 970, 2808, 1932, 2327, 2545, 1793, 1757, 2077, 1070, 1681, 2244, 1795, 472, 761, 2228, 135, 59, 1465, 135, 1038, 709, 676, 2245, 1728, 1253, 1033, 2638, 1325, 2361, 2482, 2515, 1548, 1725, 1012, 316, 540, 182, 1957, 1477, 1924, 1069, 1207, 2297, 1528, 1435, 523, 820, 2505, 326, 1672, 1734, 1921, 2701, 2708, 978, 2604, 2458, 240, 2236, 2893, 604, 1554, 458, 879, 105, 1671, 633, 1976, 2347, 1660, 2052, 2208, 1080, 2566, 2070, 2689, 2403, 1293, 1721, 917, 658, 85, 1191, 657, 2368, 2878, 1464, 1431, 359, 871, 2315, 2505, 2996, 451, 2712, 379, 574, 708, 2124, 710, 1453, 2191, 2257, 312, 2249, 1645, 1297, 2635, 1444, 992, 1047, 2129, 2961, 714, 2426, 978, 2475, 134, 844, 1190, 1842, 1438, 283, 2343, 395, 555, 2736, 2017, 349, 133, 1310, 2113, 662, 2624, 676, 2249, 1000, 1113, 477, 1711, 768, 2904, 231, 696, 400, 1492, 2429, 164, 1278, 1247, 1760, 1177, 110, 948, 228, 1674, 622, 150, 1111, 2228, 344, 2840, 1979, 207, 1699, 734, 2108, 1515, 393, 261, 1912, 1825, 416, 600, 2720, 2777, 2994, 2707, 907, 1221, 2873, 2450, 1436, 264, 780, 1079, 1343, 2079, 2175, 1708, 743, 1712, 199, 2139, 2983, 109, 958, 2590, 2008, 694, 395, 633, 936, 1962, 2279, 527, 2160, 1298, 1020, 1097, 1024, 898, 608, 1686, 58, 1191, 1466, 879, 1302, 1998, 2170, 2805, 515, 233, 1040, 1568, 1201, 1879, 2730, 453, 822, 2269, 179, 1565, 314, 1164, 2159, 2326, 2524, 1212, 906, 2625, 1518, 942, 2801, 1282, 52, 662, 2669, 2723, 320, 830, 2159, 1731, 1749, 986, 810, 1789, 2712, 1324, 864, 1834, 1066, 2390, 220, 841, 913, 2127, 719, 2379, 851, 2213, 557, 2937, 2842, 670, 2183, 2634, 1172, 1349, 447, 1251, 860, 1368, 1887, 2952, 422, 1284, 2019, 418, 1476, 2520, 1130, 450, 146, 56, 1895, 1281, 856, 2077, 2312, 250, 2738, 1137, 1468, 808, 2379, 1951, 1252, 563, 2969, 2718, 1066, 2436, 1849, 617, 2737, 2068, 2853, 2203}
Returns: 8.412685722582947E-4
500
496
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Returns: 5.795913975990273E-7
500
500
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Returns: 0.002161067964577355
500
450
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Returns: 1.7146801169876367E-7