Statistics

Problem Statement for "BuildingHeights"

Problem Statement

Byteland is a city with many skyscrapers, so it's a perfect venue for BASE jumping. Danilo is an enthusiastic BASE jumper. He plans to come to Byteland and to jump off some of its buildings.


Danilo can make arbitrarily many jumps in Byteland. However, he has some rules. First, he never jumps off the same building twice. Second, all buildings he selects for his jumps must have the same number of floors. (This is for safety reasons: It is hard to get the timing right if each jump starts at a different height.)


Philipe is the mayor of Byteland. He welcomes Danilo's visit as he would like to use it as a publicity stunt. Of course, the more jumps Danilo makes, the better the publicity will be. But what if there aren't enough buildings with the same height? To avoid this issue, the mayor is willing to prepare the town for Danilo's visit. Before Danilo arrives, Philipe wants to build additional floors on some of the skyscrapers in Byteland.


You are given a int[] heights. Each element of heights is the number of floors in one of Byteland's skyscrapers. Let N be the number of elements in heights. For each M between 1 and N, inclusive, answer the following question: What is the smallest number of additional floors the mayor has to build so that there will be at least M buildings with the same number of floors?


For each i between 1 and N, inclusive, let A[i] be the answer to the above question for M = i. Return the value (A[1] XOR A[2] XOR ... XOR A[N]).

Definition

Class:
BuildingHeights
Method:
minimum
Parameters:
int[]
Returns:
int
Method signature:
int minimum(int[] heights)
(be sure your method is public)

Notes

  • You may assume that the correct return value always fits into a signed 32-bit integer variable.
  • Each question should be answered independently of the others. For example, when trying to produce four buildings with the same number of floors, you do not have to start from the optimal solution for three buildings.

Constraints

  • heights contains between 1 and 4,000 elements, inclusive.
  • Each element of heights will be between 1 and 4,000, inclusive.

Examples

  1. {1, 5, 4, 3, 8}

    Returns: 22

    Danilo can jump off a building without any changes to the city. To get two equally tall buildings we need to build one additional floor. For example, we can increase building #2 (0-based index) from 4 to 5 floors. To get three equally tall buildings we need to build three additional floors: one on building #2 and two on building #3. This way, the buildings #1, #2, and #3 will have 5 floors each. To get four equally tall buildings we need to build seven additional floors. Making all five buildings equally tall requires us to build 19 additional floors.

  2. {1, 2, 3}

    Returns: 2

  3. {3, 4, 1, 6, 8, 1}

    Returns: 21

  4. {43, 1191, 1283, 1535, 1347, 1670, 1017, 1154, 147, 2058, 2245, 2133, 1517, 233, 1481, 1162, 2300, 2338, 2337, 1876, 1009, 1988, 1458, 531, 1071, 1769, 2093, 1254, 893, 1769, 254, 936, 460, 388, 2470, 1806, 2057, 986, 459, 2204, 1895, 1556, 688, 911, 640, 2169, 924, 439, 2006, 760, 1167, 1866, 1599, 124, 2396, 169, 744, 1988, 1422, 1637, 108, 527, 1424, 567, 2267, 1393, 1225, 1823, 1230, 1683, 378, 624, 2090, 1066, 1534, 230, 734, 1309, 668, 239, 920, 1834, 956, 18, 810, 2203, 1538, 405, 1690, 1812, 893, 649, 1190, 2316, 1216, 956, 60, 2440, 279, 1289, 474, 656, 1912, 64, 573, 2297, 1645, 1306, 1105, 2312, 396, 876, 498, 1351, 893, 1307, 1053, 1283, 563, 1594, 594, 1456, 2243, 1783, 1271, 2310, 239, 1331, 1101, 1869, 119, 1574, 1376, 2031, 489, 1949, 679, 2133, 754, 1784, 797, 2, 159, 1294, 1352, 2404, 1452, 1257, 1186, 2014, 1702, 631, 969, 1444, 2413, 2240, 105, 1503, 2422, 1205, 871, 1392, 1631, 1099, 2274, 2119, 547, 453, 1752, 152, 2236, 48, 153, 1246, 193, 1505, 1, 1644, 1613, 38, 1157, 814, 668, 2126, 1110, 1933, 717, 1214, 2287, 1990, 2419, 658, 881, 1549, 608, 655, 19, 1154, 1107, 622, 1305, 2194, 2021, 1458, 2291, 2213, 1814, 1144, 1356, 926, 1181, 1365, 1739, 701, 2342, 348, 1485, 558, 414, 1271, 1399, 1684, 780, 2279, 2084, 1387, 1785, 2102, 40, 1743, 224, 197, 288, 2244, 1654, 1431, 809, 2319, 74, 1016, 744, 106, 2380, 1334, 806, 2221, 534, 1142, 1630, 947, 2413, 528, 1482, 2044, 1659, 1065, 931, 943, 666, 2322, 1538, 2241, 1370, 677, 1985, 1875, 2107, 1645, 1693, 2180, 160, 1288, 2286, 40, 122, 1943, 1112, 2007, 585, 242, 1805, 1849, 769, 786, 244, 1279, 1850, 26, 1074, 1367, 2348, 111, 1108, 69, 787, 1944, 1944, 394, 1088, 2488, 1425, 1247, 1276, 62, 138, 249, 2005, 1250, 2255, 1441, 1491, 411, 2141, 1111, 1196, 2384, 2390, 1897, 2410, 963, 763, 1109, 2425, 1870, 1177, 711, 165, 1972, 2456, 1252, 1960, 1381, 2499, 735, 294, 1488, 983, 2298, 237, 2089, 90, 1727, 2499, 1082, 1690, 46, 966, 1579, 794, 2227, 1393, 1556, 835, 1317, 2278, 863, 879, 2442, 1687, 835, 46, 1146, 1067, 1396, 732, 212, 383, 566, 10, 620, 1506, 1451, 1198, 356, 33, 387, 401, 2350, 817, 1194, 2076, 2209, 1601, 1762, 2377, 230, 1476, 756, 1524, 662, 442, 1569, 659, 360, 464, 1390, 571, 846, 807, 1932, 317, 2312, 2235, 1515, 167, 2267, 753, 1919, 968, 422, 612, 543, 1482, 1065, 1156, 1359, 1294, 1483, 966, 317, 997, 259, 737, 1655, 618, 1200, 1897, 40, 898, 203, 824, 66, 1367, 558, 432, 1533, 1676, 1185, 952, 143, 458, 415, 2037, 1939, 331, 2044, 2149, 1625, 1026, 614, 793, 2022, 872, 1530, 29, 341, 1581, 1925, 1733, 1330, 979, 56, 1396, 1197, 613, 1827, 230, 1140, 1863, 33, 134, 2320, 1799, 2170, 1759, 2130, 565, 259, 106, 1590, 873, 898, 2464, 596, 1279, 2492, 937, 360, 768, 169, 541, 598, 1576, 1936, 1795, 1040, 1263, 876, 2179, 625, 908, 2312, 1797, 206, 833, 2407, 1187, 249, 165, 1292, 690, 1037, 2190, 653, 485, 2320, 1996, 273, 1531, 1615, 441, 2072, 2213, 868, 1507, 359, 1907, 1621, 1234, 437, 2246, 993, 248, 394, 1198, 2432, 300, 1237, 1532, 464, 28, 2221, 353, 1069, 1726, 837, 889, 1221, 1109, 2419, 1688, 401, 1990, 252, 1268, 2349, 610, 2026, 1469, 1843, 2462, 1214, 335, 1561, 459, 384, 344, 758, 1620, 1875, 1222, 500, 1595, 426, 1568, 820, 114, 2456, 893, 74, 1227, 1432, 1826, 2068, 1683, 1945, 1916, 2292, 1470, 885, 486, 1431, 950, 820, 491, 1409, 55, 2186, 2166, 1675, 1560, 2239, 2174, 2006, 164, 93, 1678, 277, 1401, 70, 1702, 127, 353, 1027, 2194, 2035, 471, 1610, 1826, 1940, 2494, 2311, 2222, 2295, 1982, 1564, 1203, 2036, 1249, 869, 62, 308, 607, 1087, 2314, 2123, 1180, 1491, 1251, 1432, 412, 453, 1558, 764, 1479, 103, 1650, 1950, 564, 2327, 241, 1909, 989, 2463, 1704, 470, 1526, 406, 5, 275, 126, 1419, 1934, 2085, 5, 599, 1707, 36, 941, 457, 1467, 204, 2261, 1876, 967, 1240, 1979, 1468, 2041, 1394, 1294, 2281, 2155, 2282, 1095, 1358, 251, 121, 615, 1608, 1747, 741, 1878, 1180, 325, 1882, 631, 883, 1918, 1571, 191, 884, 1775, 2452, 260, 1593, 43, 1090, 561, 2083, 1335, 1854, 715, 989, 488, 1810, 1198, 2090, 782, 1813, 49, 28, 1405, 1926, 59, 581, 1308, 689, 1463, 2077, 2260, 1653, 1812, 1534, 456, 923, 626, 498, 864, 38, 1432, 2199, 744, 999, 687, 1231, 1660, 737, 2172, 2441, 49, 2221, 2468, 1453, 1646, 1378, 885, 1805, 2067, 2347, 233, 1826, 351, 2045, 2211, 807, 467, 1688, 156, 183, 1726, 1588, 2381, 1321, 86, 1919, 51, 1745, 155, 2222, 537, 1555, 794, 1856, 1859, 2440, 733, 243, 596, 299, 89, 829, 976, 1792, 1725, 686, 98, 1043, 2374, 253, 1225, 451, 692, 1105, 1771, 2129, 1876, 673, 225, 2030, 1746, 761, 1085, 1392, 116, 443, 183, 849, 2038, 778, 2499, 978, 458, 975, 269, 2182, 1660, 366, 725, 385, 1971, 801, 2187, 162, 758, 309, 1143, 133, 2333, 1367, 1014, 431, 980, 950, 1822, 1095, 245, 2004, 795, 2282, 1633, 794, 759, 2091, 620, 1028, 624, 1131, 245, 200, 368, 1067, 1001, 1406, 81, 1758, 1715, 1223, 1890, 399, 89, 403, 829, 2420, 205, 150, 1015, 449, 1005, 661, 230, 138, 306, 988, 2228, 925, 867, 351, 908, 1112, 551, 1275, 2178, 403, 180, 2258, 2160, 746, 2332, 401, 1145, 1273, 803, 1973, 1192, 2359, 975, 2206, 307, 1979, 1719, 536, 2116, 2024, 376, 1843, 1801, 1242, 1046, 208, 1205, 448, 334, 883, 850, 513, 1992, 509, 111, 1824, 909, 1255, 596, 563, 2079, 1787, 422, 553, 345, 728, 1384, 915, 116, 999, 438, 491, 1694, 1090, 1732, 1591, 149, 437, 2038, 1834, 171, 1739, 1199, 1014, 2247, 1309, 337, 2007, 63, 2284, 1421, 993, 423, 694, 1546, 2119, 274, 1781, 533, 389, 1631, 2322, 2231, 824, 912, 1462, 1266, 2412, 750, 803, 1746, 2272, 41, 444, 786, 1139, 1752, 2474, 1997, 666, 1110, 918, 1658, 1532, 463, 2055, 1150, 736, 1335, 1682, 1124, 466, 355, 2206, 141, 118, 20, 1407, 30, 769, 1061, 627, 1893, 2454, 1070, 178, 1092, 1673, 1503, 1941, 1190, 112, 358, 1699, 495, 820, 1254, 1644, 408, 1440, 2177, 383, 757, 32, 89, 2250, 149, 108, 8, 1530, 876, 1068, 2156, 1620, 2373, 2077, 649, 2317, 101, 2152, 1757, 1290, 2263, 966, 489, 258, 637, 594, 753, 1044, 885, 1782, 1427, 494, 665, 1515, 243, 2165, 1622, 1602, 1195, 1349, 1521, 2202, 469, 1394, 631, 2469, 1210, 731, 2120, 1818, 873, 735, 283, 213, 2344, 919, 806, 1948, 815, 542, 1229, 2241, 1035, 1893, 107, 129, 1558, 580, 1730, 1604, 1928, 751, 157, 1248, 2144, 787, 1217, 2205, 1518, 2188, 1522, 1242, 422, 656, 1454, 265, 426, 2259, 1065, 1240, 1652, 2293, 2332, 187, 538, 2438, 315, 2095, 517, 2045, 50, 1297, 295, 206, 1396, 1290, 993, 112, 2346, 1362, 2300, 219, 103, 1573, 874, 408, 690, 151, 166, 1754, 1391, 1817, 398, 74, 855, 935, 12, 1170, 1881, 1880, 2066, 1930, 676, 2360, 2136, 2072, 1, 1980, 1035, 2346, 2193, 2186, 1416, 2295, 1259, 2289, 202, 800, 1291, 1719, 1405, 181, 2387, 1802, 255, 2094, 237, 1618, 763, 2117, 2349, 328, 1547, 525, 1539, 34, 1448, 391, 865, 1334, 1588, 557, 1020, 503, 1703, 1130, 291, 756, 781, 1581, 1326, 2185, 614, 64, 1486, 2220, 2157, 1722, 189, 419, 191, 37, 2098, 589, 1913, 2488, 622, 2212, 378, 338, 1046, 1965, 2246, 917, 2467, 1448, 2046, 1609, 2203, 1678, 2042, 2380, 1362, 1507, 2443, 347, 78, 2100, 921, 266, 1370, 1111, 1654, 968, 1699, 1067, 955, 1172, 778, 185, 361, 1823, 1001, 106, 1591, 968, 1553, 2488, 1428, 107, 1665, 2321, 2486, 526, 1327, 2428, 2225, 256, 879, 1997, 521, 2249, 607, 1027, 2068, 1157, 2093, 1874, 1180, 1722, 2058, 1540, 2397, 559, 1645, 1487, 378, 2049, 1475, 657, 1007, 639, 478, 992, 17, 656, 2271, 1093, 912, 2002, 589, 284, 1750, 47, 1310, 1317, 1203, 2254, 690, 1234, 1476, 1600, 273, 224, 2158, 769, 1710, 1387, 1669, 684, 2043, 175, 175, 20, 18, 1543, 2028, 1140, 135, 1791, 641, 2075, 926, 2390, 2121, 2236, 58, 2175, 841, 748, 2260, 1168, 1199, 32, 1391, 856, 2152, 601, 2242, 1320, 136, 636, 346, 1662, 2008, 363, 2056, 1535, 1502, 2190, 2177, 995, 616, 602, 884, 1588, 337, 2294, 1262, 30, 1893, 1021, 1197, 591, 2404, 1440, 298, 907, 2040, 39, 1078, 1027, 2026, 1423, 1541, 1533, 1785, 1096, 1919, 2139, 2138, 1595, 633, 253, 2197, 368, 1841, 1385, 161, 1954, 1414, 2053, 1827, 1463, 1495, 1730, 402, 1792, 1489, 1293, 682, 66, 1171, 208, 1489, 211, 1740, 2125, 1307, 11, 1763, 2296, 1605, 2395, 48, 153, 263, 1888, 1538, 1775, 194, 1803, 180, 2020, 2117, 1674, 101, 1370, 966, 1589, 1514, 1647, 1655, 185, 1854, 1995, 1747, 2446, 1619, 1905, 2456, 2234, 1700, 412, 2128, 1748, 565, 1242, 2487, 954, 1869, 180, 1608, 2048, 2199, 1225, 1221, 1152, 1446, 1038, 240, 460, 185, 746, 1996, 890, 240, 1242, 835, 711, 647, 2142, 444, 2346, 54, 1423, 445, 1970, 1517, 1784, 1775, 885, 815, 882, 1784, 514, 958, 504, 517, 2404, 1542, 756, 1715, 578, 1502, 1210, 1467, 593, 2451, 2302, 1303, 1949, 795, 1746, 647, 2200, 2021, 2443, 1669, 1037, 1726, 2295, 773, 41, 677, 56, 1906, 486, 559, 2422, 1741, 952, 2029, 955, 381, 1030, 2164, 1848, 1623, 967, 501, 1777, 1767, 1295, 2375, 1265, 995, 1895, 1208, 1515, 431, 433, 1310, 1203, 1825, 838, 1258, 1230, 1323, 668, 3, 564, 472, 2032, 370, 852, 1913, 1386, 1551, 2387, 1204, 2051, 1664, 470, 846, 1538, 1735, 1840, 932, 442, 2206, 214, 2226, 1015, 268, 1551, 704, 377, 1632, 2027, 2396, 487, 1442, 367, 1370, 1811, 71, 782, 696, 1621, 669, 751, 1172, 1184, 1221, 869, 221, 455, 208, 4, 2248, 1265, 217, 825, 2280, 1836, 1227, 483, 2212, 359, 1361, 2107, 2197, 1654, 1326, 1066, 965, 248, 699, 512, 1868, 1367, 1263, 1891, 50, 1335, 259, 1622, 641, 1818, 1625, 388, 583, 693, 1212, 1714, 28, 2439, 1048, 1091, 1649, 2409, 698, 197, 1562, 875, 1262, 1378, 1122, 1960, 742, 1841, 2179, 856, 1232, 1080, 2190, 342, 202, 330, 1012, 678, 2069, 1594, 223, 2132, 2159, 1602, 922, 706, 193, 1422, 1966, 2242, 1618, 2380, 1968, 1731, 109, 589, 43, 850, 2429, 2221, 1705, 12, 2152, 246, 1706, 1205, 1927, 217, 735, 347, 662, 957, 2479, 320, 1410, 2252, 2377, 454, 1174, 695, 1547, 1643, 574, 1014, 2226, 682, 1602, 2268, 384, 383, 840, 940, 394, 491, 1186, 2099, 1696, 1964, 1167, 1282, 2311, 1828, 2238, 2289, 999, 2499, 892, 876, 453, 2065, 1570, 1999, 60, 995, 1865, 2285, 528, 966, 2052, 911, 200, 1743, 1851, 594, 2233, 1888, 1544, 280, 1351, 211, 1561, 1161, 890, 150, 2301, 1889, 149, 693, 264, 1953, 1609, 685, 303, 520, 531, 2167, 304, 1058, 1985, 1207, 821, 2184, 449, 1523, 1629, 1534, 910, 2025, 1813, 1112, 1087, 2226, 1125, 1976, 2375, 2277, 1364, 1375, 469, 479, 827, 930, 15, 2482, 301, 545, 1000, 1957, 455, 484, 663, 1275, 1520, 2464, 297, 648, 349, 58, 172, 1013, 1169, 1258, 738, 1145, 734, 1965, 922, 949, 839, 242, 1428, 518, 1171, 294, 499, 324, 2191, 1498, 2280, 145, 834, 1794, 271, 2353, 1757, 1919, 500, 2105, 1976, 2024, 618, 1996, 2133, 207, 641, 1718, 2171, 414, 167, 510, 655, 446, 2379, 678, 739, 1729, 1001, 429, 2078, 780, 1925, 411, 73, 2195, 263, 682, 1613, 2115, 1638, 2440, 490, 2255, 788, 122, 1314, 280, 1840, 984, 693, 858, 345, 1347, 1303, 223, 876, 893, 1951, 1876, 174, 1529, 1507, 2098, 1939, 432, 645, 1054, 1113, 1109, 2020, 250, 1049, 9, 1357, 1836, 1482, 170, 967, 2173, 1153, 1659, 530, 350, 1857, 684, 572, 233, 429, 23, 960, 602, 403, 2467, 1551, 1193, 398, 2195, 2246, 362, 2156, 617, 611, 704, 1977, 819, 1391, 959, 988, 2357, 1983, 993, 367, 1365, 1342, 2223, 2048, 765, 1307, 1328, 787, 2267, 781, 41, 1085, 2332, 1234, 334, 878, 979, 695, 533, 448, 157, 88, 2424, 976, 1478, 2234, 815, 186, 1717, 1807, 552, 1933, 2000, 275, 1480, 265, 1581, 1660, 2403, 199, 2440, 2444, 1283, 2271, 1177, 1616, 2001, 1007, 1162, 33, 1454, 1319, 1473, 230, 2294, 450, 1315, 1960, 636, 531, 1267, 1187, 2463, 2118, 313, 295, 1234, 746, 806, 1137, 944, 745, 2432, 1079, 1868, 2460, 1546, 1368, 966, 208, 252, 1272, 378, 1724, 353, 1523, 1026, 1667, 982, 1661, 2198, 1100, 1699, 1012, 718, 864, 158, 1951, 1609, 963, 1939, 1404, 1708, 1870, 2482, 2427, 1829, 1528, 1294, 1647, 587, 397, 1770, 964, 2121, 2122, 2486, 1998, 1288, 967, 10, 985, 919, 1708, 849, 1636, 1423, 2358, 2438, 1883, 821, 729, 787, 1380, 1450, 2120, 158, 2131, 2499, 1451, 1277, 585, 699, 546, 1548, 319, 167, 385, 2316, 1454, 204, 1177, 1291, 1122, 1737, 991, 1609, 659, 848, 1546, 42, 520, 1126, 2180, 751, 76, 1799, 908, 2206, 1798, 1210, 2334, 2382, 1909, 379, 282, 1079, 1897, 2018, 2247, 2202, 2221, 923, 2344, 842, 159, 2186, 1302, 2170, 1886, 1700, 2211, 2405, 325, 1890, 2008, 400, 1188, 1767, 1457, 1837, 1829, 1290, 1719, 1237, 520}

    Returns: 3478926

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    Returns: 475975

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    Returns: 1609396

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1114, 2400, 760, 1039, 1395, 2145, 1773, 1164, 280, 1028, 2395, 919}

    Returns: 1237708

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    Returns: 1557641

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    Returns: 392772

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    Returns: 2866015

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    Returns: 917133

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475, 1632, 1322, 769, 540, 1026, 2089, 2009, 42, 815, 506, 388, 1877, 649, 1270, 1744, 1190, 466, 126}

    Returns: 974259

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    Returns: 265844

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    Returns: 214471

  15. {1191, 448, 858, 2049, 1725, 1508, 466, 1912, 1256, 73, 2141, 2137, 547, 1993, 530, 12, 2307, 2201, 2355, 2453, 10, 1289, 291, 311, 61, 129, 495, 2360, 765, 1991, 2434, 807, 2438, 791, 355, 1662, 2299, 2173, 2425, 2406, 1097, 2065, 894, 495, 410, 1423, 1858, 216, 1123, 565, 169, 1133, 1853, 1811, 295, 1913, 791, 790, 1772, 1555, 280, 1705, 1214, 217, 1348, 420, 730, 2498, 92, 2006, 2403, 41, 422, 796, 535, 831, 1070, 2393, 2399, 2192, 457, 1419, 2176, 1161, 2081, 2471, 573, 371, 2112, 1196, 777, 2391, 1753, 1990, 1459, 600, 2410, 1040, 597, 1353, 1897, 1851, 1393, 2318, 1498, 780, 2001, 1419, 2024, 1899, 1110, 1332, 2169, 2138, 2492, 1749, 960, 564, 971, 571, 611, 1747, 1813, 2363, 1237, 2123, 462, 2498, 662, 2410, 1350, 1410, 612, 243, 1227, 961, 2374, 727, 2379, 1897, 1477, 2341, 728, 1145}

    Returns: 215671

  16. {1745, 1789, 134, 215, 1211, 744, 1962, 523, 607, 2050, 145, 2420, 2047, 2158, 1182, 2248, 1067, 1793, 2490, 1145, 1606, 2363, 1872, 336, 611, 2200, 1528, 1338, 2197, 2357, 2056, 1441, 497, 1041, 508, 1707, 1785, 2469, 2229, 1243, 870, 1225, 1162, 1768, 882, 2343, 1515, 800, 488, 357, 1945, 945, 1571, 168, 1280, 2182, 2367, 308, 1019, 2063, 1516, 1927, 2356, 2013, 467, 363, 71, 1103, 1683, 2300, 2345, 52, 1024, 2359, 1819, 758, 2201, 833, 409, 1540, 1189, 2353, 2484, 260, 1372, 1264, 1293, 1239, 423, 2311, 2153, 790, 1737, 2008, 1654, 1056, 2370, 1725, 2158, 404, 1524, 855, 455, 1399, 713, 1125, 1008, 1765, 810, 1417, 805, 850, 121, 788, 2461, 1493, 903, 1253, 1583, 177, 1064, 1235, 967, 1652, 2095, 120, 1559, 1964, 1844, 1217, 2368, 2219, 923, 1674, 2470, 1635, 299, 2329, 899, 2460, 1245, 555, 809, 218, 1343, 770, 1710, 1097, 2022, 792, 1274, 1937, 878, 1092, 1089, 472, 63, 147, 1288, 1907, 215, 7, 477, 2489, 1680, 1798, 1623, 830, 1627, 1374, 789, 1723, 1928, 450, 1940, 2122, 1219, 1, 719, 2092, 2144, 844, 1529, 522, 1935, 1469, 993, 849, 467, 2280, 1607, 2034, 1138, 2084, 2022, 318, 233, 2497, 2499, 1859, 1370, 2140, 1082, 2149, 89, 1873, 1771, 159, 1874, 1341, 2250, 1517, 1036, 1278, 2038, 1822, 1598, 1883, 170, 2065, 514, 1777, 1598, 1652, 212, 2471, 821, 444, 2467, 819, 2303, 188, 1810, 2236, 2337, 1898, 1608, 459, 2056, 981, 651, 1806, 1350, 1686, 1935, 887, 2359, 2385, 1621, 28, 1949, 2135, 656, 2398, 138, 867, 2368, 958, 1311, 1187, 628, 2465, 1374, 2438, 2200, 62, 1835, 159, 520, 243, 2492, 1170, 2048, 1341, 1707, 334, 2227, 1565, 218, 200, 445, 1018, 2334, 1100, 2267, 2471, 819, 987, 928, 2129, 2173, 407, 945, 2398, 344, 1996, 2460, 2179, 2154, 479, 2421, 997, 501, 820, 2337, 1059, 5, 916, 1476, 1575, 1115, 1920, 1444, 948, 1871, 1211, 2270, 189, 2197, 2049, 1169, 721, 2455, 965, 618, 299, 460, 577, 1329, 1466, 2408, 101, 2462, 1760, 2272, 2299, 1670, 2276, 714, 645, 202, 1828, 1416, 1646, 1627, 2139, 356, 1396, 2327, 1404, 944, 2348, 2124, 2250, 812, 1593, 48, 124, 1022, 1376, 1589, 929, 1476, 402, 1540, 1247, 1552, 709, 2375, 2265, 1354, 76, 444, 1621, 1721, 922, 1259, 928, 1169, 2438, 2331, 964, 2285, 806, 714, 1948, 2399, 761, 2071, 920, 989, 11, 700, 2464, 413, 2239, 63, 816, 447, 1289, 1933, 652, 216, 2376, 1125, 789, 2150, 2383, 1716, 818, 1172, 399, 1782, 2308, 1204, 2495, 1756, 2454, 2107, 178, 2225, 595, 1541, 424, 1911, 805, 1514, 825, 1620, 813, 2113, 1052, 1464, 2328, 2280, 88, 616, 1929, 1323, 1184, 1598, 1346, 1582, 2231, 1154, 1637, 1077, 1761, 1591, 684, 1938, 1315, 130, 978, 591, 2040, 634, 2104, 1716, 2254, 416, 180, 805, 732, 1360, 584, 2171, 827, 12, 2345, 2010, 462, 1191, 2443, 192, 2344, 1580, 1269, 1604, 670, 1952, 2393, 836, 933, 2223, 278, 473, 356, 2382, 1040, 109, 1649, 1220, 2266, 2380, 79, 349, 903, 905, 1713, 747, 1767, 2174, 789, 1709, 2365, 1984, 788, 1133, 2439, 309, 1936, 2332, 2497, 369, 906, 274, 2193, 113, 155, 732, 1574, 656, 1951, 1339, 1887, 881, 1687, 289, 1786, 899, 2388, 2404, 1924, 2028, 1612, 1789, 1512, 2400, 421, 1450, 1560, 1209, 133, 1556, 1577, 1038, 1830, 121, 1151, 836, 2204, 224, 1491, 507, 1562, 2230, 1387, 2100, 18, 2024, 1851, 1257, 1927, 1274, 785, 1039, 562, 1148, 2290, 2335, 97, 1349, 2395, 230, 1757, 1471, 119, 2438, 443, 1269, 773, 146, 344, 1116, 652, 757, 845, 2039, 357, 2214, 414, 2207, 2323, 2341, 980, 1959, 2231, 394, 606, 2020, 1580, 2054, 2220, 1474, 1135, 328, 444, 1254, 265, 2238, 22, 2390, 2383, 1718, 2357, 535, 2474, 2053, 1425, 330, 1766, 690, 1388, 440, 530, 1220, 2398, 1612, 1613, 1855, 2483, 692, 261, 1055, 2165, 1395, 1382, 1460, 148, 499, 49, 1522, 388, 2431, 739, 244, 1817, 2064, 2296, 2093, 2394, 413, 283, 133, 853, 2164, 1352, 2102, 1276, 1816, 309, 110, 1359, 569, 1164, 2375, 1963, 46, 186, 963, 544, 234, 2484, 2283, 1517, 2074, 26, 2185, 1637, 1173, 1778, 382, 437, 912, 1867, 141, 1927, 718, 2243, 2054, 1386, 1403, 2164, 244, 823, 827, 1471, 1637, 2224, 1656, 99, 267, 742, 1434, 1401, 2258, 2359, 1426, 1942, 348, 1450, 71, 729, 1887, 2334, 95, 2027, 1761, 2165, 621, 1314, 2402, 875, 977, 1497, 1697, 656, 467, 834, 379, 2123, 2284, 1998, 364, 70, 898, 1473, 2428, 1176, 2266, 275, 125, 2337, 2356, 863, 2170, 1302, 1742, 282, 2318, 2362, 1596, 2219, 2089, 1424, 1216, 1285, 2079, 534, 970, 1310, 1508, 2106, 807, 723, 2175, 1704, 2195, 2102, 379, 1961, 1229, 1856, 649, 1084, 218, 318, 1237, 1959, 1952, 1055, 673, 2399, 773, 261, 1322, 840, 397, 2253, 1374, 219, 2414, 381, 2324, 720, 1104, 1998, 2423, 2150, 451, 1654, 1610, 531, 1009, 2258, 466, 1226, 1428, 1703, 2037, 879, 257, 209, 777, 2381, 1821, 950, 2073, 2217, 2054, 946, 2435, 1967, 178, 1110, 186, 133, 607, 1461}

    Returns: 257897

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    Returns: 807895

  18. {2191, 500, 2189, 1652, 1452, 383, 2420, 79, 1458, 936, 1586, 1909, 1922, 2162, 2215, 2154, 1743, 2320, 1409, 612, 783, 1766, 1680, 2464, 2162, 57, 993, 1681, 1486, 1731, 544, 1176, 1082, 232, 327, 33, 1966, 1599, 1463, 2275, 1386, 1900, 1684, 807, 413, 250, 1813, 2156, 69, 2073, 1619, 851, 1338, 798, 2167, 999, 855, 659, 1531, 2340, 2389, 2074, 2367, 2322, 1157, 193, 2354, 1975, 1791, 168, 1749, 2029, 919, 2284, 335, 1332, 33, 2147, 2339, 1453, 1719, 1457, 1156, 556, 1107, 822, 407, 1961, 1480, 1937, 652, 1369, 1511, 518, 1190, 1519, 2062, 2396, 2345, 205, 1415, 1594, 2233, 2334, 229, 67, 17, 1614, 2214, 2355, 566, 284, 163, 1721, 840, 1269, 42, 1246, 2081, 374, 2034, 1584, 1742, 2396, 2101, 1783, 1415, 1663, 530, 1259, 1867, 797, 1704, 1599, 630, 785, 517, 1998, 2398, 230, 1852, 463, 1866, 866, 1036, 1557, 987, 2429, 302, 1919, 302, 1187, 1003, 895, 1083, 603, 1530, 2497, 1117, 2059, 107, 483, 355, 663, 933, 2336, 1447, 1450, 1833, 1344, 531, 36, 658, 2396, 2254, 1693, 1452, 740, 1622, 605, 158, 775, 1792, 1160, 1670, 374, 615, 699, 1722, 1731, 1609, 680, 1066, 816, 1342, 850, 651, 1640, 2299, 1336, 483, 1682, 223, 1141, 429, 2476, 1685, 1881, 715, 2158, 1337, 2225, 433, 1980, 2236, 954, 1205, 350, 504, 1778, 933, 2112, 2458, 850, 427, 151, 1699, 2430, 1791, 350, 117, 1125, 2031, 339, 1117, 2459, 315, 302, 691, 2381, 1311, 880, 2105, 595, 359, 1841, 1548, 416, 1042, 903, 2193, 1974, 515, 1002, 1675, 2293, 1153, 874, 1074, 443, 1223, 42, 419, 2105, 381, 1536, 915, 2047, 1837, 458, 1927, 1999, 1337, 1532, 94, 547, 2224, 493, 962, 765, 1396, 655, 1591, 762, 1656, 765, 1906, 1660, 490, 1832, 954, 564, 1873, 1373, 168, 2253, 408, 2435, 1799, 1096, 392, 1226, 594, 580, 1609, 2039, 1126, 1332, 32, 2088, 948, 279, 1594, 38, 1040, 2101, 2155, 1797, 113, 144, 1128, 1066, 2060, 501, 1290, 1079, 1605, 1697, 1013, 904, 1644, 256, 981, 2238, 835, 1441, 1776, 1961, 272, 659, 400, 1219, 2289, 845, 109, 2180, 445, 1115, 1477, 557, 1258, 104, 475, 817, 1956, 1764, 1896, 1061, 2313, 1760, 1964, 1456, 2016, 1796, 1193, 1702, 736, 1821, 1162, 2359, 1331, 413, 2429, 1120, 1257, 37, 2151, 554, 1151, 1127, 2462, 1261, 83, 436, 929, 2038, 1052, 1676, 598, 864, 936, 1413, 2319, 1803, 708, 2364, 1004, 295, 536, 1018, 153, 718, 1430, 82, 689, 1539, 1470, 340, 944, 121, 1466, 905, 233, 400, 193, 1161, 2438, 1244, 1689, 535, 959, 1476, 800, 2129, 778, 1507, 844, 633, 654, 1379, 502, 806, 949, 784, 887, 1637, 2322, 1209, 1976, 765, 1329, 2294, 521, 413, 1545, 713, 1573, 1482, 808, 761, 869, 618, 1088, 1668, 247, 1865, 2026, 1090, 1350, 179, 1321, 1851, 2337, 2269, 134, 2075, 257, 1307, 783, 2233, 923, 963, 878, 1444, 1375, 2422, 1008, 1800, 256, 1816, 1412, 1124, 1285, 2500, 1643, 1531, 716, 1168, 1473, 2065, 199, 293, 268, 35, 1413, 401, 2109, 1669, 560, 392, 253, 1482, 1354, 1130, 1777, 229, 2404, 285, 2028, 159, 2100, 2291, 134, 884, 2290, 1776, 1267, 506, 1795, 239, 70, 1993, 1883, 337, 879, 2147, 2090, 488, 1315, 1501, 2231, 420, 482, 1084, 401, 2259, 164, 304, 43, 1043, 1814, 994, 834, 1947, 729, 623, 74, 847, 2480, 1869, 2437, 50, 213, 671, 1738, 1092, 317, 179, 431, 484, 1679, 161, 903, 1013, 96, 1303, 771, 1612, 459, 2165, 154, 1124, 2010, 2339, 571, 1590, 1814, 1996, 2437, 1793, 216, 2373, 1842, 429, 1896, 2432, 372, 2212, 110, 802, 195, 641, 2314, 2449, 1653, 2409, 104, 1275, 1520, 1914, 939, 526, 537, 1800, 364, 2459, 889, 2177, 1955, 825, 1470, 2170, 2050, 2163, 1450, 1445, 2094, 1821, 8, 1056, 1474, 1555, 1696, 1287, 1503, 848, 48, 458, 2122, 1567, 2371, 1912, 2092, 408, 1211, 1308, 366, 2099, 984, 1172, 1776, 1305, 2194, 177, 968, 1143, 473, 1913, 1816, 480, 468, 789, 886, 2163, 928, 2389, 1862, 975, 1698, 335, 1393, 1569, 2246, 985, 828, 2308, 1144, 45, 759, 2127, 1217, 1386, 932, 910, 1562, 751, 904, 886, 163, 219, 217, 631, 2360, 1103, 1645, 787, 2343, 2359, 1761, 1540, 193, 653, 608, 1291, 489, 287, 1098, 1632, 332, 1856, 111, 400, 741, 2394, 1309, 1154, 644, 2212, 2039, 806, 1283, 2256, 1436, 1142, 858, 1933, 1928, 700, 1791, 40, 1091, 1983, 2044, 551, 773, 1385, 837, 723, 1868, 1168, 78, 1978, 1567, 2171, 723, 1727, 824, 1366}

    Returns: 804931

  19. {1024, 1573, 1470, 1311, 1566, 1179, 743, 2345, 730, 33, 2384, 1820, 868, 779, 1222, 492, 2163, 2059, 1214, 1531, 2078, 144, 2360, 2497, 2314, 583, 575, 1989, 800, 865, 1203, 1823, 1289, 1524, 634, 1706, 202, 228, 1550, 2283, 1613, 285, 455, 2480, 1064, 1676, 1823, 2078, 1234, 537, 2460, 2164, 680, 1172, 2160, 1845, 1754, 234, 1333, 1405, 2451, 36, 728, 91, 1559, 213, 1797, 613, 440, 846, 1747, 2052, 2483, 2201, 883, 2398, 229, 206, 1975, 1462, 2094, 1935, 2477, 1625, 606, 988, 969, 1211, 1222, 2301, 1467, 24, 1188, 1046, 114, 1599, 1258, 762, 1063, 550, 460, 309, 1453, 442, 1362, 2336, 339, 1590, 1393, 1165, 1903, 986, 599, 1880, 110, 56, 367, 1078, 118, 440, 2230, 1585, 463, 2270, 130, 1929, 1368, 240, 190, 2430, 789, 649, 1590, 1093, 2442, 451, 928, 280, 2040, 2320, 1445, 1443, 2157, 895, 2174, 2266, 2303, 40, 2195, 2420, 480, 777, 356, 2294, 546, 1838, 1722, 1913, 2077, 764, 694, 1717, 264, 2283, 1661, 206, 234, 89, 1837, 1125, 1260, 781, 67, 2269, 528, 1092, 2034, 330, 1132, 581, 1601, 463, 1357, 809, 256, 1902, 146, 830, 166, 1074, 445, 859, 1642, 708, 1993, 802, 2265, 1078, 2242, 1602, 2203, 2354, 1234, 1121, 2122, 1761, 2213, 507, 942, 2196, 1087, 1395, 158, 2443, 2203, 1765, 696, 1200, 1446, 2213, 1125, 1890, 571, 1618, 1450, 1416, 2419, 1214, 2493, 1013, 315, 1047, 866, 401, 1020, 1839, 2161, 2084, 2345, 1955, 1779, 2284, 2201, 788, 1078, 755, 52, 1774, 1954, 1498, 1486, 1930, 2239, 909, 1047, 1188, 1176, 2317, 1254, 1168, 829, 420, 1067, 546, 820, 938, 2384, 1833, 521, 1081, 1287, 2299, 864, 2339, 1938, 1941, 593, 1989, 66, 1398, 2338, 404, 827, 929, 164, 1873, 968, 1339, 541, 2221, 1358}

    Returns: 261917

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    Returns: 1576296

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803, 1659, 12, 233, 217, 160, 563, 1895, 630, 1581, 1993, 2172, 1577, 1350, 120, 1081, 1670, 2095, 937, 51, 1001, 124, 1241, 426, 2020, 1180, 1713, 505, 2364, 1682, 2233, 2018, 2192, 1096, 2250, 2408, 1255, 1665, 654, 737, 745, 147, 1760, 1174, 348, 1880, 2254, 870, 1474, 2042, 920, 1326, 2165, 1013, 1752, 537, 1044, 964, 1041, 2259, 1497, 2125, 1776, 1188, 2073, 1526, 2448, 827, 2042, 601, 415, 286, 2099, 2175, 311, 1299, 1554, 65, 2168, 1879, 958, 1939, 704, 623, 451, 1307, 11, 346, 2271, 1051}

    Returns: 112772

  22. {2028, 1880, 1307, 452, 2257, 1254, 1278, 1798, 706, 545, 935, 305, 219, 1246, 1603, 624, 162, 1270, 2, 1119, 708, 2057, 593, 11, 2216, 603, 356, 838, 506, 460, 956, 1385, 1191, 2262, 1836, 2299, 2367, 1965, 448, 573, 9, 1382, 877, 227, 1479, 1331, 850, 492, 100, 2203, 463, 2159, 612, 1055, 2169, 1679, 510, 25, 16, 2367, 1836, 971, 1251, 1878, 2085, 1938, 1676, 1951, 1402, 2123, 23, 263, 2356, 2251, 1841, 1335, 1081, 1543, 678, 32, 1245, 1140, 1043, 708, 1047, 711, 1238, 1556, 2087, 1253, 1422, 274, 1076, 1524, 2151, 660, 961, 1326, 110, 1214, 948, 1485, 1476, 2156}

    Returns: 120586

  23. {990, 20, 2359, 1667, 51, 2455, 1659, 1093, 2015, 205, 656, 752, 1760, 1594, 857, 2033, 1868, 1932, 2408, 1518, 91, 2220, 1696, 1552, 933, 143, 1888, 1261, 2298, 1975, 929, 2139, 1994, 2139, 158, 896, 2093, 1816, 841, 459, 2020, 1496, 63, 131, 589, 919, 1015, 1308, 350, 922, 326, 1792, 641, 2021, 843, 425, 1015, 231, 1685, 2165, 1057, 1465, 655, 550, 1103, 812, 297, 2048, 1479, 1137, 6, 2350, 1484, 1420, 1332, 925, 2338, 1198, 2232, 1539, 2119, 57, 830, 1611, 929, 525, 888}

    Returns: 56068

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    Returns: 6137017

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    Returns: 6525953

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    Returns: 6475601

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    Returns: 2430088

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    Returns: 4236391

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    Returns: 5118980

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    Returns: 1897896

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    Returns: 2469781

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    Returns: 7716566

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    Returns: 2124095

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    Returns: 2155541

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    Returns: 7545806

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645, 2567, 2923, 146, 1107, 224, 3611, 2936, 3780, 713, 3692, 2842, 1403, 3847, 325, 3128, 494, 621, 380, 3097, 1173, 31, 2674, 3249, 704, 3900, 1309, 40, 3182, 2268, 2342, 3161, 1467, 534, 2005, 1912, 761, 1220, 3049, 1176, 2659, 139, 1420, 3980, 462, 3382, 1671, 1004, 3681, 930, 2418, 2971, 3111, 2815, 3150, 1638, 1026, 2869, 3415, 879, 194, 6, 884, 1259, 3478, 2515, 592, 200, 3266, 258, 750, 244, 1266, 669, 2969, 2554, 525, 1502, 1690, 1262, 1294, 2954, 1261, 3947, 1487, 1660, 694, 314, 2023, 1348, 2224, 2518, 2678, 1871, 2342, 1646, 2750, 1416, 3398, 1066, 2037, 511, 1682, 50, 984, 2345, 2105, 2379, 3265, 3849, 422, 2436, 220, 1294, 1463, 3024, 1655, 1628, 3377, 1556, 1208, 2992, 3729, 868, 2163, 3774, 1478, 1609, 1916, 604, 3582, 1222, 1434, 3397, 1950, 2011, 221, 2903, 117, 1929, 1298, 606, 275, 2263, 1300, 1781, 791, 3860, 3909, 2793, 1030, 2686, 1117, 2081, 675, 2658, 2817, 635, 2811, 2405, 3096, 2840, 2751, 2499, 922, 1947, 952, 2582, 875, 238, 3670, 26, 1575, 2501, 3721, 3054, 1469, 1639, 2228, 2461, 1185, 75, 159, 990, 1309, 895, 1484, 2040, 3912, 526, 2764, 3562, 3737, 3811, 1267, 3851, 2141, 969, 1225, 653, 936, 2710, 3714, 3079, 1992, 1575, 2065, 19, 3616, 3789, 1208, 3188, 1524, 168, 2563, 3261, 2368, 1107, 3798, 750, 430, 224, 291, 3808, 2472, 1669, 1633, 3044, 1834, 1816, 601, 1382, 1116, 2839, 2115, 920, 1087, 3947, 3441, 172, 2725, 78, 2378, 289, 1446, 1386, 2106, 259, 1903, 2084, 3239, 1644, 2462, 3353, 1479, 143, 3564, 2727, 2641, 503, 3690, 3151, 2513, 2667, 2384, 1305, 1952, 2196, 1265, 1978, 3123, 3266, 3731, 3282, 3602, 3596, 3038, 2744, 3020, 247, 3314, 3354, 3881, 697, 2270, 3615, 480, 2303, 462, 688, 1995, 3307, 37, 1718, 3223, 3138, 1035, 1253, 3520, 1445, 3881, 410, 2141, 253, 3667, 2337, 3192, 2365, 3332, 411, 3137, 1763, 1488, 2141, 1475, 3775, 3990, 2492, 3510, 759, 1174, 2024, 2615, 3818, 3842, 2038, 597, 3699, 854, 1987, 1869, 3089, 1388, 2997, 3897, 1893, 748, 644, 1444, 3899, 3234, 793, 2817, 2541, 1106, 3830, 60, 3556, 2704, 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1376, 1828, 1473, 476, 1515, 3979, 2420, 1643, 3333, 3754, 945, 3304, 1227, 1369, 3167, 402, 2390, 2046, 1720, 1573, 2590, 2756, 178, 1524, 444, 2730, 3199, 3128, 1620, 1112, 3601, 7, 3411, 1175, 3138, 2760, 213, 3970, 307, 2086, 202, 1015, 2003, 2083, 345, 1683, 323, 2543, 2342, 989, 2103, 121, 3408, 257, 671, 421, 2366, 2048, 1671, 2911, 3836, 1957, 156, 1903, 2400, 860, 1424, 2446, 466, 1246, 160, 3608, 2443, 1104, 1300, 3074, 2525, 1741, 3622, 2893, 3443, 705, 743, 3099, 1178, 343, 1566, 1185, 3009, 2549, 562, 2303, 2941, 391, 266, 3404, 3600, 537, 19, 2037, 2027, 2441, 3363, 3944, 3505, 3708, 3803, 939, 3037, 687, 3826, 595, 2759, 3569, 1007, 754, 2884, 2096, 3191, 3024, 940, 3185, 1672, 3325, 1055, 548, 485, 3974, 810, 3767, 1043, 2758, 807, 3242, 1955, 2239, 611, 3042, 914, 2601, 2851, 1346, 813, 202, 361, 3255, 2072, 2823, 3668, 1971, 2993, 1017, 39, 1276, 2769, 1796, 1227, 3014, 19, 3716, 1142, 3102, 888, 1160, 3182, 1480, 3561, 580, 3529, 1996, 2303, 3234, 2327, 2060, 352, 601, 866, 2266, 2315, 2369, 3604, 711, 2773, 1189, 1498, 1439, 1428, 1017, 1896, 819, 2429, 142, 1789, 3767, 681, 516, 456, 205, 3390, 3392, 107, 449, 2379, 3039, 2751, 855, 563, 1929, 505, 706, 845, 3945, 459, 1974, 2219, 667, 3822, 2656, 1659, 2855, 734, 213, 395, 3406, 2182, 1512, 3056, 1890, 3326, 1216, 1608, 507, 3506, 2953, 285, 7, 3877, 3433, 685, 353, 2518, 1047, 2281, 1126, 162, 2631, 1371, 3524, 522, 3976, 1740, 1428, 2038, 1426, 2948, 1065, 2138, 1690, 2611, 1673, 951, 2761, 2895, 1468, 1125, 588, 671, 1155, 1617, 3020, 3544, 2058, 3458, 3520, 1510, 1281, 1568, 1538, 2157, 935, 726, 2048, 688, 3880, 567, 372, 1010, 1322, 3711, 3254, 219, 1442, 188, 2000, 893, 620, 1517, 2034, 1687, 2522, 1577, 3751, 3386, 2796, 419, 264, 3851, 33, 1997, 1231, 2857, 2253, 571, 1583, 2255, 1612, 9, 2946, 1851, 1782, 3807, 2754, 720, 2868, 1748, 2845, 3288, 1554, 1937, 803, 687, 3637, 759, 514, 1276, 3726, 3812, 3476, 1665, 2799, 1393, 2230, 2102, 1470, 1504, 892, 2928, 584, 1749, 3492, 1864, 3928, 3106, 3272, 2457, 2344, 3111, 3192, 3658, 1431, 793, 775, 2061, 3355, 1858, 3109, 1702, 953, 2890, 2189, 48, 3251, 2933, 2271, 1181, 1985, 3821, 657, 1469, 3011, 1794, 801, 97, 3414, 2830, 3023, 511, 2053, 381, 3849, 1465, 354, 2733, 1894, 2170, 3253, 2803, 87, 3200, 916, 383, 2267, 64, 3316, 1952, 2770, 198, 3071, 2827, 3317, 604, 3366, 3384, 3651, 877, 536, 3821, 287, 2699, 2740, 2591, 376, 526, 2300, 950, 3401, 1341, 3467, 2609, 1218, 3730, 1768, 3402, 2406, 281, 251, 1947, 3128, 2681, 2943, 2369, 3983, 566, 1912, 1919, 2033, 1494, 999, 1158, 3711, 3107, 636, 2004, 3245, 1776, 1420, 1019, 438, 2944, 388, 292, 3181, 1603, 3996, 2067, 3671, 770, 2799, 877, 3959, 2973, 2154, 1911, 3529, 787, 706, 2496, 2387, 2050, 2379, 770, 1241, 3023, 231, 1509, 2449, 3273, 507, 1220, 214, 2313, 200, 2260, 1409, 3484, 3801, 3811, 2420, 2340, 3961, 862, 2328, 2076, 967, 3157, 1962, 1275, 1292, 1602, 370, 3770, 427, 3592, 1652, 2009, 3802, 1688, 2890, 2655, 1457, 218, 1234, 289, 1345, 1386, 3780, 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    Returns: 7284436

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    Returns: 5050292

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    Returns: 7851719

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    Returns: 2939360

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    Returns: 8369073

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1, 1, 1, 1, 1, 1 }

    Returns: 0

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    Returns: 2374443

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    Returns: 5424017

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    Returns: 4719884

  46. {1384, 2887, 778, 916, 3794, 2336, 1387, 493, 650, 1422, 2363, 2028, 691, 60, 1764, 1927, 541, 3427, 1173, 3737, 1212, 3369, 2568, 430, 1783, 1531, 2863, 1124, 2068, 3136, 1930, 3803, 2023, 3059, 1070, 2168, 1394, 2457, 3012, 2043, 230, 1374, 422, 920, 1785, 2538, 3199, 2325, 2316, 371, 2414, 3527, 92, 981, 3957, 1874, 2863, 3171, 2997, 1282, 2306, 926, 1085, 328, 337, 2506, 2847, 1730, 1314, 1858, 125, 1896, 3583, 546, 2815, 1368, 3435, 2365, 44, 1751, 3088, 2809, 1277, 3179, 3789, 1585, 1404, 2652, 755, 400, 3933, 3061, 1677, 1369, 3740, 2013, 227, 2587, 95, 1540, 796, 571, 3435, 379, 1468, 2602, 2098, 903, 1318, 2493, 2653, 757, 1302, 281, 287, 1442, 1866, 1690, 445, 2620, 2441, 730, 2032, 118, 2098, 1772, 2482, 2676, 710, 2928, 568, 1857, 3498, 354, 2587, 966, 3307, 684, 2220, 625, 3529, 872, 1733, 830, 1504, 2020, 2271, 3369, 3709, 2716, 2341, 2150, 3797, 724, 2619, 2246, 2847, 1452, 922, 3556, 380, 1489, 1765, 229, 1842, 351, 1194, 1501, 1035, 3765, 2125, 915, 988, 3857, 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    Returns: 1003147

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    Returns: 2939360

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    Returns: 2939360

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7, 8, 9, 10, 11 }

    Returns: 8823

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    Returns: 3427911

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    Returns: 2968418

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    Returns: 2968418

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    Returns: 4538323

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1, 1, 1, 1, 1, 4000 }

    Returns: 15992001

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    Returns: 827720

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    Returns: 1154307

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10, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 }

    Returns: 15216

  58. {2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 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502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694, 695, 696, 697, 698, 699, 700, 701, 702, 703, 704, 705, 706, 707, 708, 709, 710, 711, 712, 713, 714, 715, 716, 717, 718, 719, 720, 721, 722, 723, 724, 725, 726, 727, 728, 729, 730, 731, 732, 733, 734, 735, 736, 737, 738, 739, 740, 741, 742, 743, 744, 745, 746, 747, 748, 749, 750, 751, 752, 753, 754, 755, 756, 757, 758, 759, 760, 761, 762, 763, 764, 765, 766, 767, 768, 769, 770, 771, 772, 773, 774, 775, 776, 777, 778, 779, 780, 781, 782, 783, 784, 785, 786, 787, 788, 789, 790, 791, 792, 793, 794, 795, 796, 797, 798, 799, 800, 801, 802, 803, 804, 805, 806, 807, 808, 809, 810, 811, 812, 813, 814, 815, 816, 817, 818, 819, 820, 821, 822, 823, 824, 825, 826, 827, 828, 829, 830, 831, 832, 833, 834, 835, 836, 837, 838, 839, 840, 841, 842, 843, 844, 845, 846, 847, 848, 849, 850, 851, 852, 853, 854, 855, 856, 857, 858, 859, 860, 861, 862, 863, 864, 865, 866, 867, 868, 869, 870, 871, 872, 873, 874, 875, 876, 877, 878, 879, 880, 881, 882, 883, 884, 885, 886, 887, 888, 889, 890, 891, 892, 893, 894, 895, 896, 897, 898, 899, 900, 901, 902, 903, 904, 905, 906, 907, 908, 909, 910, 911, 912, 913, 914, 915, 916, 917, 918, 919, 920, 921, 922, 923, 924, 925, 926, 927, 928, 929, 930, 931, 932, 933, 934, 935, 936, 937, 938, 939, 940, 941, 942, 943, 944, 945, 946, 947, 948, 949, 950, 951, 952, 953, 954, 955, 956, 957, 958, 959, 960, 961, 962, 963, 964, 965, 966, 967, 968, 969, 970, 971, 972, 973, 974, 975, 976, 977, 978, 979, 980, 981, 982, 983, 984, 985, 986, 987, 988, 989, 990, 991, 992, 993, 994, 995, 996, 997, 998, 999, 1000, 1001, 1002, 1003, 1004, 1005, 1006, 1007, 1008, 1009, 1010, 1011, 1012, 1013, 1014, 1015, 1016, 1017, 1018, 1019, 1020, 1021, 1022, 1023, 1024, 1025, 1026, 1027, 1028, 1029, 1030, 1031, 1032, 1033, 1034, 1035, 1036, 1037, 1038, 1039, 1040, 1041, 1042, 1043, 1044, 1045, 1046, 1047, 1048, 1049, 1050, 1051, 1052, 1053, 1054, 1055, 1056, 1057, 1058, 1059, 1060, 1061, 1062, 1063, 1064, 1065, 1066, 1067, 1068, 1069, 1070, 1071, 1072, 1073, 1074, 1075, 1076, 1077, 1078, 1079, 1080, 1081, 1082, 1083, 1084, 1085, 1086, 1087, 1088, 1089, 1090, 1091, 1092, 1093, 1094, 1095, 1096, 1097, 1098, 1099, 1100, 1101, 1102, 1103, 1104, 1105, 1106, 1107, 1108, 1109, 1110, 1111, 1112, 1113, 1114, 1115, 1116, 1117, 1118, 1119, 1120, 1121, 1122, 1123, 1124, 1125, 1126, 1127, 1128, 1129, 1130, 1131, 1132, 1133, 1134, 1135, 1136, 1137, 1138, 1139, 1140, 1141, 1142, 1143, 1144, 1145, 1146, 1147, 1148, 1149, 1150, 1151, 1152, 1153, 1154, 1155, 1156, 1157, 1158, 1159, 1160, 1161, 1162, 1163, 1164, 1165, 1166, 1167, 1168, 1169, 1170, 1171, 1172, 1173, 1174, 1175, 1176, 1177, 1178, 1179, 1180, 1181, 1182, 1183, 1184, 1185, 1186, 1187, 1188, 1189, 1190, 1191, 1192, 1193, 1194, 1195, 1196, 1197, 1198, 1199, 1200, 1201, 1202, 1203, 1204, 1205, 1206, 1207, 1208, 1209, 1210, 1211, 1212, 1213, 1214, 1215, 1216, 1217, 1218, 1219, 1220, 1221, 1222, 1223, 1224 }

    Returns: 514504

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