Submission #1282165

#	Time	Username	Problem	Language	Result	Execution time	Memory
1282165		M_W_13	3개의 봉우리 (IOI25_triples)	C++20	86.90 / 100	619 ms	43040 KiB

triples

#include "triples.h"
#include <bits/stdc++.h>

using namespace std;
#define rep(i, n) for (int i = 0; i < (n); i++)
typedef long long ll;
#define pb push_back
#define st first
#define nd second
#define pii pair<int, int>
#define pll pair<ll, ll>
#define all(a) a.begin(), a.end()

set<pair<pii, int>> S;

pair<pii, int> sor(int a, int b, int c) {
  int x = min({a, b, c});
  int z = max({a, b, c});
  int y = a + b + c - x - z;
  return {{x, y}, z};
}

long long count_triples(std::vector<int> T) {
  int n = T.size();
  ll ans = 0;
  rep(i, n) {
    int j = i + T[i];
    int k[4];
    if (j < n) {
      k[0] = i + T[j];
      k[1] = i - T[j];
      k[2] = j + T[j];
      k[3] = j - T[j];
      rep(c, 4) {
        if (i == j || i == k[c] || j == k[c]) continue;
        if (k[c] < 0 || k[c] >= n) continue;
        int x = T[i];
        int y = T[j];
        int z = T[k[c]];
        int a = abs(i - j);
        int b = abs(i - k[c]);
        int d = abs(j - k[c]);
        if ((x + y + z) != (2 * max({x, y, z}))) continue;
        if (sor(a, b, d) != sor(x, y, z)) continue;
        S.insert(sor(i, j, k[c]));
      }
    }
    j = i - T[i];
    if (j >= 0) {
      k[0] = i + T[j];
      k[1] = i - T[j];
      k[2] = j + T[j];
      k[3] = j - T[j];
      rep(c, 4) {
        if (i == j || i == k[c] || j == k[c]) continue;
        if (k[c] < 0 || k[c] >= n) continue;
        int x = T[i];
        int y = T[j];
        int z = T[k[c]];
        int a = abs(i - j);
        int b = abs(i - k[c]);
        int d = abs(j - k[c]);
        if ((x + y + z) != (2 * max({x, y, z}))) continue;
        if (sor(a, b, d) != sor(x, y, z)) continue;
        S.insert(sor(i, j, k[c]));
      }
    }
  }
  ans = (long long) S.size();
  // for (auto p: S) {
  //   cout << p.st.st << " " << p.st.nd << " " << p.nd << '\n';
  // }
  vector<int> jakie[2 * n + 1];
  vector<int> jakie2[2 * n + 1];
  int iter[n];
  int iter2[n];
  rep(i, n) {
    int x = T[i] - i + n;
    iter[i] = jakie[x].size();
    jakie[x].pb(i);
  }
  for (int i = n - 1; i >= 0; i--) {
    int x = T[i] + i;
    iter2[i] = jakie2[x].size();
    jakie2[x].pb(i);
  }
  rep(i, n) {
    int x = T[i] - i + n;
    int y = T[i] + i;
    int sz = jakie[x].size();
    int sz1 = jakie[y].size();
    if (sz <= sz1) {
      for (int it = iter[i] - 1; it >= 0; it--) {
        int j = jakie[x][it];
        int k = i + T[j];
        if (k < n && ((T[k] + T[j]) == T[i])) {
          if (T[k] == T[j]) continue;
          ans++;
        }
      }
    }
    else {
      for (int it = iter2[i] - 1; it >= 0; it--) {
        int k = jakie2[y][it];
        int j = i - T[k];
        if (j >= 0 && ((T[k] + T[j]) == T[i])) {
          if (T[k] == T[j]) continue;
          ans++;
        }
      }
    }
  }
  return ans;
}

const int MAXN = 1000000;
int jakie[MAXN];
int poms = 0;

vector<int> vec;

bool spr(int x) {
    if (jakie[x + poms] != -1) {
        return false;
    }
    for (auto y: vec) {
        int z = x + poms + y;
        if (jakie[z] != -1) return false;
    }
    return true;
}

void dod(int x) {
    for (auto y: vec) {
        jakie[x + y + poms] = x - y;
    }
}

std::vector<int> construct_range(int M, int K) {
  srand(8831);
  vector<int> pom = {5, 2, 3, 3, 1, 2, 1, 4, 3, 2, 7, 6, 5, 6, 3, 4, 1, 2, 1, 3};
  vector<int> pom2;
  vector<int> pom3;
  vector<int> pom4;
  if (true) {
    pom4 = {1, 2, 3, 2, 5, 4, 3, 8, 7, 6, 5, 1, 13, 12, 11, 10, 1, 8, 8, 7, 21, 20, 19, 18, 1, 16, 11, 10, 13, 30, 29, 28, 27, 8, 25, 12, 11, 22, 39, 38, 37, 36, 17, 34, 1, 1, 31, 1, 38, 37, 9, 26, 53, 52, 51, 50, 30, 48, 1, 18, 45, 1, 52, 51, 1, 40, 51, 50, 9, 1, 44, 61, 60, 74, 73, 72, 71, 40, 69, 53, 1, 66, 23, 1, 74, 73, 61, 72, 71, 66, 65, 14, 66, 1, 95, 94, 93, 92, 61, 90, 14, 54, 87, 44, 81, 80, 1, 82, 1, 23, 67, 66, 35, 69, 68, 74, 69, 107, 106, 1, 105, 104, 36, 9, 65, 99, 21, 128, 127, 126, 125, 94, 123, 56, 1, 120, 126, 125, 21, 1, 115, 98, 99, 98, 118, 13, 1, 42, 107, 126, 125, 152, 151, 150, 149, 69, 147, 98, 1, 144, 1, 114, 118, 117, 139, 1, 89, 1, 21, 55, 15, 54, 131, 1, 88, 129, 128, 1, 46, 1, 75, 182, 181, 180, 179, 1, 177, 1, 74, 174, 113, 33, 33, 1, 169, 185, 184, 65, 1, 156, 155, 54, 161, 177, 99, 1, 162, 161, 31, 32, 52, 212, 211, 210, 209, 60, 207, 202, 201, 204, 143, 1, 33, 1, 199, 78, 169, 168, 191, 1, 45, 49, 191, 147, 129, 189, 188, 1, 181, 180, 1, 182, 1, 19, 184, 183, 57, 133, 202, 201, 173, 191, 190, 243, 242, 108, 124, 258, 257, 256, 255, 235, 253, 1, 159, 250, 89, 1, 151, 111, 245, 214, 213, 263, 262, 93, 87, 1, 237, 24, 1, 255, 238, 237, 1, 138, 1, 228, 1, 130, 1, 205, 1, 278, 277, 1, 219, 58, 57, 1, 254, 253, 78, 1, 267, 191, 117, 247, 246, 54, 205, 225, 249, 248, 182, 316, 315, 314, 313, 1, 311, 59, 97, 308, 44, 211, 1, 169, 303, 261, 260, 184, 1, 30, 202, 1, 295, 258, 257, 84, 272, 271, 285, 284, 227, 286, 1, 189, 285, 284, 1, 169, 163, 1, 277, 340, 339, 314, 313, 1, 136, 279, 278, 60, 60, 206, 329, 1, 263, 277, 276, 303, 302, 374, 373, 372, 371, 73, 369, 117, 156, 366, 1, 360, 359, 130, 361, 324, 323, 242, 311, 310, 1, 30, 353, 348, 386, 385, 173, 137, 120, 309, 308, 344, 378, 1, 289, 12, 1, 106, 221, 1, 413, 412, 411, 410, 1, 408, 395, 394, 405, 406, 405, 1, 247, 400, 321, 268, 1, 125, 383, 1, 395, 392, 348, 7, 1, 13, 58, 76, 45, 1, 383, 188, 76, 340, 339, 300, 334, 294, 1, 374, 33, 371, 370, 216, 215, 325, 78, 1, 235, 401, 400, 1, 279, 360, 1, 164, 279, 46, 312, 1, 355, 429, 428, 476, 475, 474, 473, 1, 471, 402, 401, 468, 329, 1, 339, 1, 463, 65, 1, 63, 1, 334, 1, 76, 455, 134, 56, 314, 1, 246, 52, 279, 1, 446, 1, 318, 1, 234, 1, 116, 1, 158, 437, 1, 20, 425, 424, 476, 475, 1, 260, 104, 1, 222, 301, 104, 423, 1, 531, 530, 529, 528, 1, 526, 429, 428, 523, 1, 285, 1, 360, 518, 269, 546, 545, 544, 543, 402, 541, 510, 1, 538, 1, 192, 71, 138, 533, 1, 501, 501, 500, 1, 261, 1, 525, 449, 448, 492, 381, 438, 437, 58, 1, 516, 469, 468, 563, 562, 1, 201, 1, 478, 507, 162, 409, 544, 543, 552, 1, 311, 487, 486, 231, 457, 456, 36, 493, 494, 493, 11, 1, 348, 457, 542, 541, 608, 607, 606, 605, 1, 603, 480, 479, 600, 1, 378, 377, 472, 595, 503, 502, 204, 201, 436, 1, 324, 587, 512, 1, 116, 42, 618, 617, 267, 75, 578, 1, 143, 451, 618, 617, 31, 607, 217, 569, 1, 53, 1, 491, 1, 210, 606, 477, 510, 509, 294, 403, 123, 555, 604, 603, 1, 621, 620, 1, 623, 622, 1, 155, 1, 39, 418, 1, 320, 569, 568, 32, 664, 663, 534, 379, 458, 567, 446, 445, 264, 1, 58, 653, 1, 574, 573, 561, 560, 1, 394, 1, 128, 543, 542, 513, 640, 639, 546, 1, 552, 154, 564, 563, 191, 349, 1, 668, 667, 717, 716, 715, 714, 1, 712, 537, 1, 709, 633, 632, 364, 97, 704, 613, 554, 92, 218, 1, 480, 554, 696, 513, 144, 697, 696, 319, 388, 1, 317, 687, 1, 630, 629, 1, 592, 310, 738, 737, 678, 1, 334, 1, 456, 1, 66, 523, 522, 727, 697, 696, 492, 1, 664, 1, 748, 747, 614, 613, 668, 667, 1, 35, 1, 361, 713, 712, 736, 559, 505, 39, 1, 273, 426, 643, 160, 91, 1, 148, 662, 661, 798, 797, 796, 795, 1, 793, 288, 687, 790, 1, 630, 254, 1, 785, 622, 1, 734, 733, 805, 804, 1, 777, 396, 465, 775, 774, 797, 1, 666, 116, 768, 1, 461, 435, 749, 748, 162, 1, 416, 759, 682, 599, 598, 681, 680, 423, 539, 589, 1, 215, 765, 764, 102, 745, 1, 667, 767, 293, 1, 285, 1, 633, 780, 779, 862, 861, 860, 859, 350, 857, 753, 565, 854, 1, 724, 849, 848, 849, 390, 744, 834, 833, 715, 714, 462, 841, 1, 837, 1, 729, 728, 63, 731, 257, 832, 703, 847, 846, 1, 541, 622, 535, 1, 823, 230, 1, 479, 157, 385, 1, 825, 824, 899, 898, 340, 748, 747, 809, 1, 466, 891, 223, 172, 754, 753, 698, 292, 1, 670, 882, 881, 505, 218, 907, 906, 147, 851, 850, 788, 777, 776, 783, 154, 1, 679, 895, 118, 767, 1, 319, 861, 1, 646, 646, 1, 391, 768, 1, 536, 767, 386, 133, 821, 820, 847, 100, 1, 965, 964, 963, 962, 414, 960, 838, 1, 957, 278, 459, 736, 735, 952, 307, 616, 1, 234, 1, 825, 157, 944, 848, 847, 355, 734, 857, 856, 887, 886, 935, 813, 841, 1, 723, 1, 620, 258, 356, 926, 1, 40, 55, 925, 924, 586, 586, 826, 1, 710, 842, 841, 792, 912, 1, 324, 195, 70, 718, 573, 858, 857, 436, 316, 982, 981, 1, 460, 401, 678, 324, 773, 223, 425, 891, 212, 864, 863, 452, 680, 764, 988, 987, 888, 887, 986, 985, 42, 1, 441, 383, 540, 781, 1, 562, 1060, 1059, 1058, 1057, 68, 1055, 887, 886, 1052, 394, 1, 54, 476, 1047, 650, 1, 521, 15, 1, 542, 1, 1039, 1, 658, 132, 410, 258, 7, 1, 720, 1030, 343, 1, 837, 398, 714, 645, 194, 1, 1021, 915, 914, 996, 995, 1043, 1042, 140, 1, 1039, 1038, 1, 470, 1, 1007, 482, 936, 935, 813, 522, 1, 604, 934, 933, 930, 929, 423, 1, 486, 970, 969, 304, 1, 388, 123, 986, 1077, 1076, 970, 969, 77, 1, 145, 125, 1, 1120, 1119, 100, 783, 593, 976, 975, 208, 1, 656, 62, 965, 1108, 1, 853, 1, 332, 1161, 1160, 1159, 1158, 644, 1156, 353, 1, 1153, 1, 469, 424, 636, 1148, 81, 1, 753, 546, 1118, 1117, 1, 1140, 1125, 1124, 1012, 1011, 546, 932, 1022, 1021, 1131, 520, 241, 1009, 1008, 71, 55, 181, 1, 1122, 1, 419, 378, 1, 239, 1, 1160, 1159, 77, 1054, 385, 908, 572, 1108, 819, 332, 221, 793, 394, 54, 1174, 1173, 707, 1, 1039, 1, 807, 1089, 1088, 1, 780, 1, 489, 224, 1087, 488, 1072, 1071, 1093, 1092, 1, 878, 101, 1, 199, 98, 1, 186, 1, 1234, 1233, 127, 1076, 1075, 1, 1066, 1070, 1069, 1, 774, 1223, 378, 171, 1099, 1098, 1242, 1241, 454, 1, 994, 1, 848, 1, 322, 449, 182, 1, 1230, 454, 1, 649, 1, 728, 1, 153, 1, 646, 859, 1033, 1, 547, 1094, 1093, 1, 852, 513, 1, 46, 737, 1, 1183, 1125, 1124, 908, 480, 1, 1307, 1306, 1305, 1304, 1, 1302, 1009, 1, 1299, 896, 175, 802, 1, 1294, 1, 1162, 56, 1, 109, 512, 1, 1286, 267, 1, 703, 1176, 547, 1, 701, 1031, 1277, 386, 591, 1271, 1270, 1, 979, 252, 99, 1268, 1161, 1, 863, 1045, 796, 956, 1, 358, 1129, 453, 101, 1153, 1152, 1254, 1, 76, 934, 944, 1200, 1199, 1248, 1247, 778, 927, 1, 120, 949, 662, 1, 744, 1, 552, 554, 767, 1233, 1161, 1160, 1340, 1339, 1386, 1385, 1384, 1383, 130, 1381, 1116, 331, 1378, 1, 971, 911, 1, 1373, 1179, 1178, 1212, 1224, 1223, 1, 190, 1365, 316, 958, 985, 736, 1, 1397, 1396, 1, 1356, 364, 74, 903, 792, 1, 290, 972, 1386, 1347, 871, 1234, 1233, 419, 186, 1254, 1253, 1, 686, 1435, 1434, 1433, 1432, 1333, 1430, 489, 656, 1427, 391, 1, 1435, 1434, 1422, 1264, 1263, 1273, 1032, 1, 1427, 67, 1414, 1351, 1350, 1155, 1312, 906, 1239, 1238, 1346, 1405, 1299, 1298, 840, 1, 254, 377, 1, 647, 1396, 920, 1, 845, 1, 16, 400, 1291, 1242, 1241, 1397, 1325, 1, 393, 1382, 1125, 107, 231, 1, 1482, 1481, 1, 434, 1, 1383, 213, 1, 1474, 1457, 1456, 760, 642, 1, 1374, 1, 1361, 1, 419, 1354, 1353, 1258, 81, 1329, 1328, 1292, 1095, 1361, 1298, 1297, 1294, 1293, 1461, 1460, 1, 956, 1, 1340, 1444, 1424, 1423, 1, 787, 584, 45, 1234, 725, 1184, 1312, 1311, 1450, 1449, 1430, 1, 1454, 1453, 289, 259, 163, 296, 1328, 1421, 1, 1556, 1555, 1554, 1553, 1, 1551, 179, 1307, 1548, 1049, 1, 1408, 1204, 1543, 1, 1388, 1309, 357, 748, 137, 1, 1535, 1, 145, 717, 1344, 1343, 1390, 1389, 1, 1526, 1283, 1, 509, 894, 529, 1528, 1527, 46, 1517, 502, 16, 1174, 1, 1375, 1010, 1, 1520, 1519, 542, 514, 1527, 1526, 1503, 1405, 1404, 999, 1371, 1370, 1195, 1, 1253, 96, 1356, 1339, 101, 1, 991, 1403, 1402, 882, 1, 33, 1, 1482, 1250, 1498, 1497, 1469, 1468, 1, 685, 1577, 1576, 1, 1577, 1576, 968, 1128, 1526, 1525, 1223, 1463, 1462, 384, 1461, 1, 195, 1456, 1455, 828, 76, 1647, 1646, 64, 847, 274, 1, 1619, 1618, 1639, 1, 452, 72, 131, 427, 1, 60, 1, 1529, 1528, 1, 1297, 159, 617, 933, 248, 102, 1428, 632, 1449, 1448, 1, 1192, 346, 1119, 630, 1177, 1647, 1646, 1609, 314, 1026, 86, 1542, 1541, 1070, 1, 1680, 1679, 1, 615, 1404, 1172, 1595, 1518, 1517, 1450, 1449, 94, 1668, 1557, 1556, 1586, 894, 1, 1722, 1721, 1720, 1719, 1, 1717, 1, 207, 1714, 1, 1573, 1550, 1, 1709, 1239, 44, 1374, 473, 1219, 1518, 1517, 1701, 1502, 1501, 1, 1608, 1607, 583, 1, 1119, 1692, 1057, 1685, 1684, 1219, 176, 1, 26, 1012, 1683, 502, 167, 1, 1540, 1705, 1704, 1344, 553, 1614, 1508, 1507, 160, 1212, 1669, 1, 343, 1, 104, 58, 1, 1501, 831, 1521, 1599, 1, 521, 1, 1731, 1730, 1524, 1523, 1782, 1781, 1, 1648, 1011, 1, 973, 1, 1774, 1, 529, 207, 342, 1569, 1568, 27, 1061, 1176, 1731, 1730, 671, 1298, 1, 799, 1627, 1, 991, 1173, 326, 1393, 1518, 1177, 111, 1457, 103, 1, 1386, 1554, 1744, 1049, 100, 1834, 1833, 1832, 1831, 776, 1829, 19, 1279, 1826, 1462, 1, 1730, 1, 1821, 1022, 1137, 1594, 1, 1141, 761, 1721, 1813, 1145, 241, 262, 74, 864, 1, 910, 1, 1804, 1269, 1, 1708, 616, 1, 745, 1, 1240, 1795, 1570, 492, 135, 1243, 444, 1096, 1693, 1692, 1241, 1458, 624, 1330, 1, 1781, 1, 506, 1328, 216, 372, 1, 1870, 1869, 1445, 1, 1837, 1836, 1675, 1404, 1381, 112, 1540, 1, 1858, 1, 1760, 1632, 1631, 959, 1896, 1895, 570, 699, 1204, 855, 1216, 1656, 1, 1384, 198, 1885, 1644, 1643, 1292, 1, 796, 1739, 1182, 1028, 840, 20, 1934, 1933, 1932, 1931, 1, 1929, 1, 674, 1926, 268, 864, 1716, 1715, 1921, 1393, 1, 1521, 857, 357, 1847, 1846, 1913, 1, 1514, 1562, 363, 1804, 995, 1706, 1845, 1904, 1253, 904, 1, 1025, 1143, 1550, 1, 1029, 1895, 1149, 1789, 834, 1, 1597, 384, 1464, 889, 385, 1, 1824, 324, 1682, 1881, 496, 109, 1, 134, 1, 271, 778, 112, 399, 618, 1, 1826, 1825, 955, 49, 1517, 1, 719, 1961, 1960, 1860, 1125, 1805, 1804, 351, 1458, 494, 1424, 1652, 1791, 1776, 1775, 1744, 1754, 1753, 299, 590, 95, 1413, 170, 1, 1839, 1, 779, 1080, 1, 1855, 1854, 1539, 574, 1406, 1176, 1957, 1956, 1, 827, 1261, 1, 1622, 164, 1, 268, 1, 213, 1, 558, 313, 811, 1519, 1382, 2058, 2057, 2056, 2055, 1806, 2053, 1320, 1, 2050, 919, 327, 1473, 1060, 2045, 1788, 1787, 1446, 1892, 241, 733, 1, 2037, 485, 643, 1653, 1, 2004, 2003, 1782, 1025, 2028, 1646, 1944, 1943, 1576, 1190, 1077, 1, 1348, 2019, 1, 1285, 1, 855, 1010, 669, 1, 509, 1998, 1997, 1, 94, 1, 2005, 1018, 452, 1694, 393, 1752, 212, 1841, 1840, 2109, 2108, 1420, 89, 1843, 834, 196, 1, 2101, 1, 1932, 1931, 1984, 1, 986, 1309, 1, 1853, 1852, 1076, 1911, 1910, 2073, 2072, 1, 1590, 1722, 1, 1023, 1, 1518, 659, 718, 1963, 1987, 1986, 1870, 1869, 2071, 52, 1, 36, 1876, 1875, 948, 821, 261, 1304, 1799, 445, 1, 137, 2057, 335, 1894, 1893, 817, 2119, 2118, 1396, 821, 2048, 1, 1035, 588, 1019, 1930, 2010, 2009, 178, 1618, 136, 1676, 937, 2035, 1928, 1927, 1, 1246, 1, 756, 1913, 1912, 192, 1151, 1963, 1962, 1, 1460, 1, 1906, 1921, 1920, 1329, 1926, 1925, 1924, 1923, 506, 952, 545, 101, 75, 2089, 2088, 2004, 2003, 2216, 2215, 2123, 2122, 1, 888, 637, 1, 2208, 1, 2098, 2097, 965, 1876, 625, 33, 999, 1723, 1, 1983, 1421, 524, 1, 1618, 630, 1556, 1191, 1510, 1, 2096, 2095, 1966, 1965, 48, 2261, 2260, 2259, 2258, 2178, 2256, 1204, 1176, 2253, 1846, 1, 342, 839, 2248, 896, 1, 2092, 2091, 2164, 1, 937, 2240, 2046, 2045, 2192, 2191, 996, 2155, 1475, 337, 2231, 1, 1507, 836, 390, 1, 573, 677, 1436, 2222, 2142, 2104, 2103, 1, 1924, 2148, 2147, 1560, 1, 1358, 1, 2173, 2172, 2208, 1, 1800, 1, 1490, 1678, 2032, 2031, 1062, 1, 441, 852, 2049, 2048, 2220, 2219, 1114, 943, 2139, 2138, 2109, 2187, 27, 2051, 2050, 288, 509, 793, 1746, 1, 464, 536, 1950, 1521, 1, 754, 1, 421, 771, 2090, 758, 1, 2166, 304, 1938, 2172, 2171, 1, 979, 1866, 349, 1303, 752, 247, 755, 2324, 2323, 2211, 2210, 55, 1742, 2108, 2107, 148, 49, 232, 1288, 14, 721, 1846, 575, 1, 122, 747, 1, 2133, 1, 1905, 583, 1127, 1, 1693, 2101, 2100, 876, 1336, 470, 2224, 2223, 1812, 2388, 2387, 2120, 2119, 2363, 2362, 1458, 1586, 2031, 2109, 1801, 2377, 2136, 2135, 694, 2246, 2245, 13, 2127, 2126, 1, 2220, 2221, 2220, 695, 813, 2232, 2231, 1684, 2156, 2155, 1532, 329, 128, 2255, 1005, 1360, 1, 1226, 2079, 1, 1770, 326, 1353, 2149, 2148, 395, 988, 932, 355, 669, 2337, 2392, 2391, 255, 1, 2380, 2379, 1834, 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3819, 1742, 1, 2378, 1445, 6603, 5578, 6133, 6134, 5978, 64, 4898, 675, 1, 5198, 6613, 6614, 1, 5987, 1, 6370, 3201, 2147, 381, 6038, 6039, 4768, 1, 6057, 6058, 4190, 1, 6073, 6074, 5524, 1196, 802, 1, 2844, 4211, 1475, 251, 1, 6403, 6404, 1723, 4790, 5927, 780, 4936, 104, 1554, 1747, 6403, 586, 6315, 6430, 6431, 1, 2524, 1364, 5633, 6002, 6003, 1641, 1, 990, 5491, 1413, 1, 6282, 6283, 4946, 736, 6424, 5198, 5971, 5972, 6420, 6421, 3969, 4968, 1, 1524, 5311, 5872, 1221, 6352, 6353, 1, 3063, 3804, 1790, 6277, 1, 6445, 4838, 4667, 3624, 4523, 6360, 1, 1413, 4423, 978, 3421, 3371, 5955, 5956, 6459, 2389, 1989, 1, 4496, 40, 6375, 5239, 995, 6468, 473, 3833, 3061, 727, 5307, 5696, 476, 5386, 6477, 1, 1412, 1, 1292, 2367, 2888, 1, 6485, 527, 495, 6322, 1429, 6490, 4779, 1, 6493, 3409, 6495, 6496, 6497, 6498, 2955, 1672, 5913, 5914, 6337, 1316, 6431, 6432, 1611, 3338, 702, 6117, 6118, 4552, 5735, 5900, 5901, 4395, 3895, 1147, 6429, 5894, 5895, 3164, 1422, 1, 5048, 660, 911, 3321, 5406, 6440, 6441, 1, 4343, 1086, 5369, 219, 218, 5966, 5967, 251, 2012, 5887, 5888, 2012, 1725, 5881, 5882, 4518, 331, 5384, 2142, 4592, 89, 4936, 6085, 2098, 6391, 3014, 3595, 3526, 1889, 3925, 1, 4182, 6295, 6296, 2496, 6402, 6403, 1147, 5793, 2320, 2006, 2428, 4608, 2259, 1, 1313, 892, 5727, 4277, 1673, 3430, 4032, 1, 6315, 6316, 1912, 2474, 4984, 4, 124, 411, 3424, 1905, 3974, 1, 4672, 6166, 6167, 6151, 6152, 5464, 1, 5439, 3248, 1, 2003, 1, 5134, 1, 6142, 6143, 585, 4442, 1, 6198, 6199, 1, 145, 1250, 4662, 230, 130, 807, 186, 2155, 4438, 5851, 490, 5798, 5799, 4288, 1, 248, 770, 2652, 5162, 5983, 5984, 5779, 5780, 1589, 6174, 1, 6265, 6266, 5918, 5919, 1202, 4621, 5779, 5780, 6232, 6233, 1, 1912, 4313, 5051, 5433, 2963, 1, 2705, 4027, 5189, 954, 1, 5502, 1, 4306, 6144, 6145, 1777, 1, 5897, 1, 5059, 5957, 5958, 4163, 5739, 5740, 5467, 4320, 396, 4371, 1103, 716, 1, 516, 5740, 5741, 5169, 2222, 3151, 2808, 1996, 4463, 5368, 5484, 956, 2006, 1657, 5581, 5927, 2662, 5541, 1, 4542, 6240, 6241, 6136, 6137, 2756, 4685, 4352, 1338, 1102, 2819, 3880, 4343, 4991, 2823, 1141, 2167, 480, 2055, 5120, 2814, 2830, 4541, 2223, 258, 387, 5957, 1, 407, 2111, 1, 4750, 1, 1370, 4371, 2759, 2787, 5958, 5959, 826, 4127, 1, 4406, 1, 5836, 5837, 1, 2101, 2713, 1, 5981, 1510, 4383, 1, 2808, 640, 5599, 6055, 6056, 5923, 5924, 1, 132, 1346, 405, 1769, 5814, 5815, 1, 423, 1, 2825, 3237, 1070, 1, 5716, 5717, 1363, 1, 2744, 1, 3459, 3621, 6014, 5085, 2122, 4605, 4766, 5636, 5637, 659, 5192, 1, 1006, 1, 5196, 3016, 3015, 1, 5592, 5053, 1, 3434, 1, 6035, 5808, 5809, 4849, 3486, 2933, 1173, 3462, 1, 5346, 5657, 5347, 1, 4653, 359, 5987, 5988, 751, 4453, 338, 5382, 6056, 4875, 1, 5590, 5591, 1943, 3463, 5619, 5620, 814, 4222, 2218, 5919, 5920, 6070, 2440, 1256, 5624, 2380, 4363, 1, 4209, 1, 6079, 5582, 5583, 1, 2060, 1, 4873, 4897, 1, 6088, 228, 114, 5703, 3700, 5804, 5805, 901, 6096, 4571, 4686, 1363, 113, 6101, 75, 239, 6104, 258, 6106, 6107, 6108, 6109, 5412, 1, 4723, 4254, 5956, 5957, 1, 4249, 4643, 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5744, 5910, 598, 5912, 5913, 5914, 5915, 5620, 5621, 1, 591, 5096, 4821, 5861, 5862, 1576, 5485, 4470, 624, 1622, 1, 591, 1, 61, 2668, 5070, 1283, 2401, 5497, 1678, 5453, 5454, 4792, 1524, 2262, 4076, 5342, 5343, 4735, 1, 3130, 1, 4927, 3948, 4755, 938, 5131, 2450, 5647, 5516, 5308, 5309, 2122, 5167, 5344, 5345, 814, 5163, 2721, 1488, 5682, 5683, 2077, 1, 5109, 1717, 1, 5182, 969, 3159, 1, 5683, 5684, 4596, 1, 5504, 5505, 277, 1, 5286, 5287, 5680, 1, 1292, 2687, 3245, 162, 1, 5237, 1650, 5486, 5487, 3836, 1, 5551, 1211, 1745, 1, 5262, 5263, 2279, 4624, 5701, 4532, 933, 4990, 5573, 5574, 5444, 5445, 4807, 89, 3272, 1, 4811, 1, 338, 887, 245, 5717, 5718, 1, 5167, 2138, 5305, 5306, 4579, 611, 4651, 5237, 5228, 5229, 748, 1, 1956, 3666, 221, 865, 5605, 5596, 461, 4497, 5741, 886, 5029, 1, 4051, 5238, 5239, 1, 5058, 1, 5751, 5752, 5611, 4866, 2590, 5241, 5242, 2338, 360, 3251, 1, 1493, 2050, 5246, 5247, 437, 5369, 5370, 2773, 1, 4601, 5242, 5243, 1110, 5335, 5336, 1774, 217, 5225, 5039, 5183, 5184, 2587, 5293, 3884, 1, 4641, 1, 197, 1, 5300, 789, 5275, 5276, 5665, 5666, 820, 5107, 187, 1, 5087, 4656, 5671, 5672, 951, 21, 5665, 1, 4115, 5119, 5364, 5365, 169, 1983, 1, 4775, 825, 5676, 5677, 110, 4333, 2388, 1, 5340, 5271, 5349, 5350, 4270, 3761, 4407, 5134, 491, 840, 429, 5242, 5243, 5601, 5602, 156, 1, 362, 443, 4673, 515, 4357, 1, 4677, 1458, 5110, 5111, 2918, 1, 1903, 1, 5301, 1686, 4711, 2679, 5145, 5187, 5188, 3353, 4186, 1861, 2426, 2775, 2776, 1, 2673, 2157, 2935, 2781, 1755, 595, 4973, 5136, 5137, 1, 5365, 2947, 5397, 5398, 5186, 4808, 5331, 1, 5272, 5273, 1191, 4196, 1450, 2763, 1, 1991, 2475, 5199, 3485, 3585, 3584, 3999, 1, 5063, 1, 1351, 5191, 2472, 2628, 436, 5355, 1307, 570, 2821, 5429, 997, 1525, 5117, 5118, 1, 440, 4774, 1438, 2352, 5035, 5410, 1155, 281, 2364, 5295, 5296, 1, 602, 3864, 3434, 1, 5221, 1828, 4882, 1, 5425, 4058, 701, 5388, 4455, 5494, 5495, 131, 253, 1108, 4788, 4874, 1, 229, 1, 5115, 1, 5259, 559, 3003, 4813, 5019, 5020, 4777, 5409, 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  }
  if (true) {
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1326, 1326, 1326, 225, 225, 225, 225, 225, 2444, 2444, 2444, 1117, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 1945, 1945, 1945, 1945, 1945, 1945, 860, 860, 860, 860, 860, 860, 860, 1527, 1527, 1527, 1527, 1527, 2402, 2402, 2402, 274, 274, 274, 274, 1512, 1512, 1512, 1512, 1512, 1512, 1512, 1512, 496, 496, 496, 496, 496, 496, 496, 496, 496, 496, 496, 496, 2369, 2369, 2369, 2369, 2369, 2369, 2369, 2369, 2369, 1036, 1036, 1036, 1036, 1036, 1036, 1036, 1887, 1887, 1887, 2345, 2345, 2345, 2345, 2345, 2345, 2345, 2345, 2345, 2345, 2345, 2345, 2345, 2345, 1217, 1217, 1450, 1450, 1450, 1450, 1450, 1450, 1450, 1450, 1450, 1450, 1450, 1450, 1450, 1450, 1450, 1848, 1848, 1848, 1848, 1848, 1848, 1848, 1848, 2315, 2315, 2315, 2315, 2315, 757, 757, 757, 757, 757, 757, 757, 757, 79, 79, 79, 79, 79, 79, 972, 972, 972, 2698, 2698, 2698, 2698, 2697, 2696, 2694, 2694, 2691, 2691, 2691, 2285, 2285, 2686, 2686, 2686, 395, 395, 395, 395, 395, 2678, 2678, 2678, 2669, 2669, 2669, 2669, 2669, 2669, 2669, 2669, 2669, 1136, 1136, 1136, 1785, 1785, 1785, 1785, 1785, 2660, 128, 128, 128, 128, 2646, 2646, 2646, 2646, 2646, 2646, 2646, 2646, 2646, 2646, 2239, 2239, 2239, 2625, 2625, 2625, 2625, 2625, 2625, 2625, 2625, 2625, 2625, 2625, 2625, 2625, 2625, 2625, 2625, 2625, 2625, 1341, 1341, 662, 662, 662, 662, 662, 662, 662, 1730, 1730, 1730, 1730, 1730, 1730, 1730, 1730, 1730, 1730, 2604, 2604, 1072, 1072, 869, 869, 869, 1715, 1715, 1715, 1715, 1715, 1715, 1715, 1715, 2181, 2181, 2181, 2181, 2181, 2181, 49, 49, 49, 49, 49, 49, 49, 49, 2571, 2571, 2571, 2571, 2571, 2571, 2547, 2547, 2547, 2547, 2547, 2547, 2547, 2547, 2547, 2547, 2547, 2547, 2547, 2547, 2547, 2547, 2547, 2547, 2547, 2547, 2547, 2547, 2547, 2547, 1260, 1260, 1260, 1260, 1260, 249, 249, 249, 249, 249, 249, 249, 1653, 1653, 1653, 1653, 1653, 1653, 2123, 2123, 2873, 2873, 2873, 2873, 2872, 2871, 2869, 2869, 2517, 2517, 2866, 561, 2861, 2861, 2861, 2861, 774, 774, 774, 774, 774, 774, 774, 2853, 969, 969, 969, 969, 2844, 2844, 2844, 2844, 2844, 2084, 2084, 2084, 2084, 2084, 2084, 2487, 2835, 2835, 1196, 1196, 1196, 1196, 1196, 1196, 1196, 2821, 2821, 2821, 2821, 2821, 2821, 2821, 170, 170, 170, 170, 170, 170, 170, 170, 170, 170, 170, 170, 170, 170, 170, 2800, 2800, 2800, 2800, 2800, 2800, 2441, 2441, 2441, 2441, 2441, 2441, 2441, 2441, 2441, 2779, 2779, 2779, 2779, 2779, 2779, 2779, 2779, 2779, 2779, 2779, 2779, 2021, 2021, 2021, 2021, 1544, 1544, 1544, 1544, 1544, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 874, 874, 874, 673, 2746, 2746, 2746, 2746, 2746, 2746, 2746, 2383, 2383, 2383, 2383, 2383, 2383, 2383, 2383, 2383, 2383, 2383, 2383, 2383, 1093, 1093, 1093, 1093, 1093, 1093, 1093, 1093, 2722, 2722, 2722, 1966, 1966, 415, 1951, 1951, 1951, 1951, 1951, 1951, 1951, 1951, 1951, 1951, 1951, 1951, 1951, 1951, 2692, 2692, 2692, 2692, 2692, 2692, 2692, 2692, 2692, 2692, 2692, 2692, 2692, 1463, 1463, 1463, 3060, 3060, 3060, 3059, 3058, 3056, 3056, 3053, 3053, 3053, 2325, 2325, 2325, 2325, 3048, 3040, 3040, 3040, 3040, 3040, 3040, 3040, 3040, 2662, 2662, 2662, 2662, 3031, 3031, 3031, 3031, 3031, 773, 773, 773, 773, 3022, 3022, 3022, 3022, 3022, 1889, 1889, 1889, 1889, 1889, 336, 336, 336, 2286, 2286, 2286, 2286, 3008, 3008, 998, 998, 998, 998, 1399, 1399, 1399, 1399, 1399, 2616, 2616, 2616, 2616, 2616, 2616, 2616, 2616, 2616, 2987, 2987, 2987, 527, 527, 527, 527, 527, 527, 2966, 2966, 2966, 2966, 2966, 2966, 2966, 2966, 2966, 2966, 2966, 2966, 2966, 2966, 2966, 287, 2223, 2223, 2223, 2223, 2223, 2223, 2223, 2223, 2223, 2223, 2223, 2223, 2223, 2223, 2223, 2223, 2223, 2223, 2933, 2933, 2933, 2933, 2933, 2933, 2933, 2933, 2933, 2933, 2933, 2933, 2933, 2933, 2558, 3196, 3196, 3196, 3196, 3196, 3196, 3196, 3196, 3195, 3194, 3192, 3192, 3189, 3189, 3189, 3184, 3184, 3184, 3184, 3184, 2909, 2909, 2909, 1780, 3176, 3176, 3176, 3176, 897, 448, 1296, 1296, 1296, 1296, 1296, 1296, 3167, 2168, 2168, 2168, 3158, 3158, 3158, 3158, 3158, 3158, 627, 627, 627, 627, 627, 2879, 2879, 2153, 2153, 2500, 2500, 2500, 3144, 3144, 399, 399, 399, 399, 399, 399, 399, 399, 399, 399, 399, 399, 399, 399, 399, 399, 399, 399, 399, 3123, 3123, 2849, 2849, 166, 166, 166, 166, 166, 2461, 2461, 2461, 2461, 2461, 2461, 2461, 2461, 2461, 3102, 3102, 3102, 3102, 3102, 1699, 1699, 1699, 2091, 2091, 2091, 2091, 2091, 2091, 2091, 2091, 2091, 2091, 2091, 2091, 2803, 2803, 2803, 2803, 2803, 2803, 2803, 2803, 2803, 2803, 2803, 2803, 548, 1201, 3069, 3069, 3069, 3069, 3331, 3331, 3331, 3331, 3331, 3331, 3331, 3331, 3330, 3329, 3327, 3327, 3324, 3324, 3324, 3319, 3319, 3319, 3319, 3319, 3045, 3045, 3045, 3045, 2398, 3311, 3311, 3311, 1635, 1635, 1635, 1635, 1635, 1635, 3302, 3302, 3302, 751, 751, 751, 499, 499, 499, 499, 3293, 3293, 2745, 2745, 2745, 2745, 2745, 2745, 3015, 3015, 3279, 3279, 3279, 3279, 3279, 3279, 278, 278, 278, 278, 278, 2343, 2343, 2343, 2343, 2343, 2343, 2343, 2343, 2343, 2343, 2343, 2343, 2343, 2343, 2343, 3258, 2985, 2985, 2985, 1982, 1982, 1982, 1982, 1982, 1982, 1982, 2328, 2328, 2328, 2328, 1100, 1100, 3237, 3237, 3237, 3237, 3237, 2687, 2687, 2687, 2687, 2687, 2687, 2687, 2687, 672, 672, 672, 672, 672, 672, 672, 672, 672, 2939, 2939, 2939, 2939, 2939, 2939, 2939, 2939, 2939, 2939, 2939, 3204, 3204, 3204, 3204, 3204, 1532, 1532, 2648, 2648, 2648, 2648, 2648, 2648, 2648, 2648, 2648, 2648, 2648, 2648, 2266, 2266, 2266, 2266, 2266, 2266, 2266, 2266, 3180, 3180, 378, 378, 378, 378, 378, 378, 623, 623, 623, 1901, 1901, 1901, 1901, 2881, 2881, 2881, 2881, 2881, 2881, 2881, 2881, 2881, 2881, 2881, 2881, 2881, 2881, 2881, 2881, 3150, 2585, 2585, 2585, 2585, 2585, 2585, 2585, 2585, 2585, 2585, 2585, 2585, 2585, 2585, 2585, 2585, 2585, 2585, 2585, 2585, 2585, 2585, 2585, 3120, 3120, 3120, 3120, 3120, 3120, 3120, 112, 112, 112, 112, 112, 112, 112, 112, 112, 112, 112, 112, 1437, 1837, 1837, 1837, 1837, 954, 954, 954, 954, 954, 954, 954, 2823, 2823, 2823, 3074, 3074, 3074, 3074, 3074, 3074, 3074, 3074, 3074, 3074, 3074, 3074, 3074, 3074, 3074, 3074, 3074, 3074, 3074, 2157, 2530, 2515, 2515, 2515, 2515, 2515, 2515, 2515, 2515, 2515, 2515, 2515, 2515, 2515, 2515, 2515, 2784, 2784, 2784, 502, 502, 502, 502, 3628, 3628, 3628, 3628, 3628, 3628, 3628, 3628, 3628, 3628, 3628, 3628, 3628, 3628, 3628, 3628, 3627, 3626, 3624, 3624, 3621, 3621, 3621, 3616, 3616, 3616, 3616, 3616, 875, 875, 875, 875, 875, 3016, 3608, 3608, 212, 212, 212, 212, 212, 212, 1336, 1336, 3599, 1734, 1734, 1734, 1734, 1734, 3590, 3590, 3590, 3590, 2453, 2076, 2076, 2076, 2721, 3576, 3576, 3576, 3576, 3576, 3576, 3576, 3576, 3576, 826, 826, 826, 826, 826, 826, 826, 826, 826, 826, 826, 826, 826, 826, 3555, 3555, 3555, 3555, 3555, 3555, 3555, 2958, 2958, 2958, 3711, 3711, 3711, 3711, 3711, 3711, 3711, 3710, 3709, 3707, 3707, 3704, 3704, 3704, 3534, 3534, 3534, 3534, 3699, 2666, 2666, 2666, 3691, 3691, 3691, 3691, 3691, 2012, 2012, 2012, 3682, 3682, 3682, 3682, 3682, 3682, 2651, 2919, 2919, 3673, 3673, 3673, 3673, 3673, 3673, 3501, 3501, 3501, 3501, 3501, 3501, 1639, 1639, 3659, 3659, 3659, 3659, 3659, 3659, 100, 100, 100, 2344, 2344, 2344, 2344, 2344, 2344, 2344, 2344, 2344, 2344, 336, 336, 3477, 3638, 3638, 3638, 3638, 3638, 1190, 1190, 1190, 1190, 1190, 1190, 1190, 1190, 1190, 1190, 1190, 1190, 1190, 1190, 1190, 1190, 1190, 1190, 2589, 3617, 3617, 2856, 3447, 3447, 3447, 705, 705, 705, 705, 705, 705, 1909, 1909, 1909, 1909, 1909, 1909, 1909, 1909, 1909, 1909, 1909, 1909, 1909, 1909, 1909, 1909, 1909, 1909, 1909, 1909, 1909, 1909, 3584, 3417, 2263, 2263, 2263, 2263, 2263, 2263, 2263, 2263, 2263, 2263, 2263, 2263, 2263, 2263, 2263, 2263, 2263, 2263, 1538, 2801, 2801, 2801, 3560, 3867, 3867, 3867, 3867, 3867, 3866, 3865, 3863, 3863, 3860, 3860, 3860, 2786, 2786, 3855, 3855, 3855, 1111, 1111, 3371, 3371, 3371, 3371, 3847, 3847, 224, 224, 224, 3530, 3530, 3838, 3838, 3838, 3838, 3829, 3829, 3829, 3829, 3829, 3829, 3829, 3829, 3829, 2480, 2480, 2480, 2480, 2480, 2480, 2480, 3815, 3815, 3815, 3815, 3815, 3815, 3815, 2199, 2199, 3500, 1062, 1062, 1062, 1062, 1062, 1062, 1062, 1062, 1814, 1814, 2724, 2724, 2724, 2724, 2724, 2724, 3794, 3794, 3313, 3313, 3313, 3773, 3773, 3773, 3773, 3773, 3773, 3773, 3773, 3773, 3773, 3773, 3773, 3773, 3773, 3773, 3773, 3773, 3773, 3454, 3454, 3454, 3454, 3454, 3454, 3454, 539, 539, 539, 539, 539, 539, 539, 539, 539, 539, 539, 539, 539, 124, 124, 124, 124, 124, 124, 124, 124, 124, 2399, 2399, 2399, 3740, 3255, 3255, 3255, 3255, 3255, 3255, 3255, 1392, 1392, 1392, 3716, 3716, 3716, 3716, 3716, 3716, 3716, 3716, 3716, 3716, 3716, 3716, 3716, 3716, 2096, 2096, 2096, 2096, 2096, 2096, 3396, 3396, 1713, 1713, 1713, 1713, 1713, 1713, 1713, 3216, 3216, 3216, 3216, 3216, 3216, 3216, 2615, 2615, 2615, 2615, 2615, 2615, 2615, 3686, 941, 941, 941, 2335, 2335, 2335, 2335, 2335, 2335, 3656, 3656, 3656, 3656, 3656, 3656, 3656, 3656, 3656, 3656, 3656, 3656, 3656, 3656, 3656, 3656, 3656, 3656, 3656, 3656, 3656, 1313, 1313, 1313, 1313, 1313, 3338, 427, 427, 427, 427, 427, 427, 427, 427, 427, 3153, 3153, 3153, 3153, 3153, 3153, 3153, 3153, 3153, 3153, 2001, 2001, 2001, 2001, 2001, 2001, 2001, 2001, 2001, 2001, 2001, 2001, 2001, 2001, 2001, 2001, 3299, 3299, 3299, 3299, 3610, 2534, 2534, 2534, 2534, 1264, 1264, 1264, 1264, 4139, 4139, 4139, 4139, 4139, 4139, 4139, 4138, 4137, 4135, 4135, 4132, 4132, 4132, 4127, 4127, 4127, 4127, 4127, 3098, 3098, 3098, 3098, 3098, 3098, 3098, 4119, 2232, 4110, 4110, 4110, 4110, 4110, 4110, 4110, 4110, 3083, 3083, 3083, 3083, 3083, 4101, 4101, 4101, 4101, 1567, 1567, 3552, 3552, 3552, 3236, 3236, 3236, 3236, 4087, 4087, 4087, 4087, 4087, 2470, 327, 4066, 4066, 4066, 4066, 4066, 4066, 4066, 4066, 4066, 4066, 4066, 4066, 4066, 4066, 4066, 4066, 4066, 4066, 4066, 775, 775, 775, 775, 775, 1900, 1900, 1900, 4045, 4045, 4045, 4045, 4045, 4045, 4045, 4045, 4045, 4045, 4045, 4045, 4045, 3021, 3021, 3494, 3494, 3494, 3494, 3494, 3181, 1143, 1143, 1143, 1143, 1143, 1143, 1143, 1143, 1143, 1143, 1143, 1143, 2137, 2137, 3166, 1488, 1488, 4012, 4012, 4012, 4012, 4012, 4012, 4012, 4012, 3455, 3455, 3455, 3455, 3455, 3455, 3455, 3455, 3455, 3455, 3455, 3455, 3455, 3988, 3988, 3988, 3988, 3988, 3988, 3988, 3988, 3988, 3988, 3988, 2367, 2367, 2367, 2367, 2367, 1439, 1439, 1439, 1439, 1439, 1439, 1439, 1439, 1439, 1439, 1439, 1439, 203, 203, 203, 203, 203, 203, 203, 203, 203, 203, 3104, 3958, 3958, 663, 663, 663, 663, 663, 663, 663, 663, 663, 3392, 3392, 3392, 3392, 3392, 3392, 3392, 3392, 3392, 3392, 3392, 3392, 3392, 2912, 2912, 3928, 3928, 3928, 3928, 3928, 3928, 2036, 2036, 2036, 2036, 2036, 2036, 1754, 1754, 1754, 1754, 1754, 1754, 1754, 1754, 1754, 1754, 2272, 2272, 2272, 2272, 2272, 2272, 2272, 2272, 2272, 2272, 2272, 2272, 2272, 2272, 2272, 2272, 2272, 2272, 2272, 2272, 2272, 2272, 2272, 2272, 3882, 3882, 3882, 3882, 3882, 3882, 3337, 3322, 3322, 3322, 3322, 3322, 3322, 3322, 3322, 3322, 3322, 3322, 3322, 3322, 3322, 3322, 977, 977, 977, 977, 977, 977, 977, 2831, 2831, 2831, 2831, 2831, 2831, 2995, 2995, 1318, 563, 1675, 1675, 1675, 1675, 1675, 1675, 1675, 1675, 1675, 1675, 1675, 1675, 1675, 1675, 1675, 1675, 4446, 4445, 4444, 4442, 4442, 4439, 4439, 4439, 3824, 4434, 4434, 4434, 4434, 4426, 4426, 4426, 4426, 4426, 4426, 4426, 4426, 3260, 3260, 3260, 3260, 3260, 3260, 3260, 3260, 4417, 4408, 4408, 4408, 4408, 4408, 4408, 4408, 4408, 4408, 2767, 2767, 2767, 2767, 2767, 2171, 2171, 1626, 1626, 1626, 4394, 4394, 4394, 4394, 1890, 1890, 1890, 1890, 2914, 2914, 2914, 2914, 2914, 2914, 3766, 3766, 3766, 3766, 4373, 4373, 4373, 4373, 4373, 4373, 4373, 865, 865, 865, 865, 865, 865, 865, 865, 865, 865, 865, 865, 4352, 4352, 4352, 4352, 4352, 4352, 4352, 4352, 4352, 3727, 3727, 3727, 3727, 3727, 3727, 3727, 3727, 3727, 3727, 3727, 439, 439, 2850, 2850, 2850, 2850, 2850, 2850, 2850, 2850, 2850, 2850, 2850, 2850, 2850, 2850, 2850, 2850, 2850, 2850, 2850, 4319, 1811, 1811, 1811, 1811, 1811, 1811, 1811, 1811, 3151, 3151, 2664, 2664, 2664, 2664, 2664, 2664, 2664, 2664, 2664, 1152, 1152, 4295, 4295, 4295, 3664, 3664, 3664, 3664, 3664, 3664, 3664, 3664, 3664, 3664, 3664, 3664, 3664, 3664, 3664, 3664, 3664, 1505, 4265, 4265, 4265, 4265, 4265, 4265, 4265, 4265, 4265, 4265, 4265, 4265, 1762, 1762, 1762, 765, 2025, 2025, 2025, 2025, 2025, 2025, 4639, 4639, 4638, 4637, 4635, 4635, 4632, 4632, 4632, 4627, 4627, 4627, 4627, 4627, 4235, 4235, 4235, 4235, 4235, 4235, 4619, 4619, 3070, 3070, 3070, 3070, 3070, 4610, 4610, 4610, 4610, 3609, 2747, 2747, 2747, 2747, 2747, 2747, 4601, 4601, 3594, 3594, 3594, 3594, 3594, 3594, 3594, 2569, 2569, 2569, 4587, 4587, 4587, 4587, 4189, 4189, 4189, 4189, 4189, 4189, 4189, 4189, 4189, 4189, 4189, 4189, 1040, 1040, 1040, 4566, 4566, 4566, 4566, 4566, 4566, 1946, 1946, 1946, 1946, 3006, 3006, 3006, 3006, 3006, 3006, 3006, 3006, 3006, 3006, 3006, 3006, 4545, 4545, 4545, 4545, 4545, 3532, 3532, 3532, 3532, 3532, 3532, 3532, 3532, 3532, 3532, 3532, 3532, 3532, 1641, 1641, 1641, 1641, 1641, 641, 641, 641, 641, 236, 4131, 4131, 4131, 4131, 4131, 1897, 1897, 1897, 1897, 4512, 2652, 2652, 2652, 2652, 1339, 1339, 1339, 1339, 1339, 1339, 1339, 1339, 1339, 1339, 1339, 2468, 2468, 2468, 2468, 2468, 2468, 2468, 4488, 4488, 940, 940, 940, 940, 940, 940, 940, 940, 940, 940, 940, 940, 940, 940, 940, 940, 4073, 4073, 4073, 4073, 4073, 4073, 4073, 4073, 4073, 4073, 4073, 4073, 4073, 4458, 2903, 2903, 2903, 2903, 2903, 2903, 2903, 2903, 2903, 2903, 2903, 4428, 4428, 4428, 4428, 4428, 4428, 4428, 4428, 4428, 4428, 4428, 4428, 4428, 4428, 4428, 4428, 4428, 4428, 4428, 3423, 3423, 3423, 3423, 3423, 4034, 4034, 4034, 2551, 2551, 2551, 2551, 2551, 2551, 2551, 2551, 2551, 2551, 2551, 2551, 2551, 1776, 1776, 1776, 1776, 1776, 1776, 1776, 1776, 1776, 1776, 1776, 1776, 1776, 1776, 1776, 1227, 1227, 1227, 1227, 1227, 1227, 1227, 4382, 4382, 4382, 1475, 1475, 1475, 1475, 1475, 1475, 1475, 1475, 1475, 1475, 1475, 1475, 1475, 1475, 1475, 1475, 1475, 1475, 1475, 1475, 1475, 3971, 3971, 3971, 3971, 2808, 2808, 2808, 2808, 2808, 816, 816, 816, 816, 2322, 2322, 2322, 2322, 3342, 3342, 4324, 4324, 4324, 4324, 4324, 4324, 4324, 4324, 4324, 4324, 4324, 4324, 4324, 4324, 4324, 4324, 4324, 4324, 438, 438, 438, 438, 3916, 3916, 3916, 3916, 3916, 3916, 3916, 3916, 3916, 3916, 3916, 3916, 3916, 3916, 3916, 3916, 3916, 3916, 3901, 3901, 3901, 3901, 3901, 3901, 3901, 3901, 3901, 3901, 3901, 3901, 3901, 3901, 3901, 1127, 1127, 3278, 3278, 3278, 3278, 3278, 3278, 3278, 4266, 4266, 4266, 4266, 4266, 4266, 4266, 4266, 4266, 4266, 4266, 4266, 2243, 2405, 2405, 2405, 2405, 5021, 5021, 5021, 5021, 5020, 5019, 5017, 5017, 2707, 2707, 5014, 1363, 5009, 5009, 5009, 5009, 5001, 5001, 5001, 5001, 5001, 5001, 5001, 5001, 4992, 4992, 4992, 4992, 4992, 4992, 4992, 4992, 4992, 4227, 1610, 3839, 4983, 4983, 4983, 4983, 4983, 4983, 2194, 2194, 2194, 5064, 5064, 5063, 5062, 5060, 5060, 5057, 5057, 5057, 4969, 4969, 5052, 5052, 5052, 5044, 5044, 5044, 5044, 5044, 5044, 5044, 5044, 5035, 5035, 5035, 5035, 5035, 5035, 5035, 5035, 5035, 4948, 2326, 2326, 5026, 5026, 5026, 5026, 5026, 5026, 3175, 4164, 4164, 4164, 4164, 4164, 4164, 4164, 4164, 4164, 4164, 4164, 4927, 5012, 1003, 1263, 1263, 1263, 1263, 1263, 1263, 1263, 1263, 1263, 1263, 1263, 1263, 613, 613, 613, 613, 4991, 4991, 4991, 4991, 2277, 2277, 2277, 2277, 2277, 2277, 2277, 2277, 4894, 4894, 4894, 4970, 4970, 4970, 4970, 4970, 4970, 4970, 4970, 4970, 4970, 3730, 3730, 3730, 3730, 1498, 1498, 4109, 4109, 4109, 4109, 4109, 4870, 4870, 4870, 2561, 2073, 2073, 2073, 2073, 2073, 2073, 2073, 2073, 2073, 2073, 4094, 4937, 4937, 4937, 4937, 4937, 4937, 4937, 202, 202, 202, 3080, 3080, 3080, 3080, 4840, 4840, 4840, 4840, 4913, 4913, 4913, 4913, 4913, 4913, 4913, 4913, 4913, 4913, 4913, 4913, 4913, 4810, 4810, 4810, 4810, 4810, 4810, 4810, 4810, 4810, 4810, 4810, 4810, 4810, 4810, 4810, 4810, 4810, 3649, 3649, 3649, 3649, 3649, 3649, 3649, 3649, 3649, 3649, 3649, 4883, 4883, 4032, 2482, 2482, 2482, 2482, 2482, 2482, 1139, 1398, 1398, 1398, 1398, 1398, 1398, 1398, 1398, 1398, 1398, 1398, 2156, 2156, 4853, 4853, 4853, 4853, 4853, 4853, 4853, 4853, 4853, 4764, 4764, 4764, 2979, 2979, 2979, 2979, 2979, 2979, 2979, 2979, 2979, 2979, 2979, 2979, 2979, 2979, 2979, 2979, 2979, 2979, 2979, 2979, 2979, 2433, 2433, 3585, 3585, 3585, 3585, 3585, 3585, 800, 800, 800, 800, 800, 800, 800, 800, 800, 800, 800, 800, 800, 4807, 5322, 5321, 5320, 5318, 5318, 5315, 5315, 5315, 5310, 5310, 5310, 5310, 5310, 4706, 4706, 5302, 5302, 5302, 5302, 5302, 5302, 1907, 1907, 1907, 1907, 1907, 1907, 1907, 5293, 5293, 3923, 3923, 3923, 3923, 5284, 5284, 5284, 5284, 5284, 377, 377, 377, 377, 377, 377, 377, 377, 377, 5270, 5270, 5270, 5270, 5270, 4749, 4749, 4749, 4749, 4749, 1274, 1274, 1274, 1274, 1274, 1274, 1274, 1274, 1274, 4648, 4648, 4648, 4648, 4648, 4648, 5249, 3482, 3482, 3482, 3482, 3482, 3482, 348

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• Subtask 12: 0.8247 / 5