ada_idna.cpp

/* auto-generated on 2023-04-26 14:14:42 -0400. Do not edit! */
/* begin file src/idna.cpp */
/* begin file src/unicode_transcoding.cpp */

#include <cstdint>
#include <cstring>

namespace ada::idna {

size_t utf8_to_utf32(const char* buf, size_t len, char32_t* utf32_output) {
  const uint8_t* data = reinterpret_cast<const uint8_t*>(buf);
  size_t pos = 0;
  char32_t* start{utf32_output};
  while (pos < len) {
    // try to convert the next block of 16 ASCII bytes
    if (pos + 16 <= len) {  // if it is safe to read 16 more
                            // bytes, check that they are ascii
      uint64_t v1;
      std::memcpy(&v1, data + pos, sizeof(uint64_t));
      uint64_t v2;
      std::memcpy(&v2, data + pos + sizeof(uint64_t), sizeof(uint64_t));
      uint64_t v{v1 | v2};
      if ((v & 0x8080808080808080) == 0) {
        size_t final_pos = pos + 16;
        while (pos < final_pos) {
          *utf32_output++ = char32_t(buf[pos]);
          pos++;
        }
        continue;
      }
    }
    uint8_t leading_byte = data[pos];  // leading byte
    if (leading_byte < 0b10000000) {
      // converting one ASCII byte !!!
      *utf32_output++ = char32_t(leading_byte);
      pos++;
    } else if ((leading_byte & 0b11100000) == 0b11000000) {
      // We have a two-byte UTF-8
      if (pos + 1 >= len) {
        return 0;
      }  // minimal bound checking
      if ((data[pos + 1] & 0b11000000) != 0b10000000) {
        return 0;
      }
      // range check
      uint32_t code_point =
          (leading_byte & 0b00011111) << 6 | (data[pos + 1] & 0b00111111);
      if (code_point < 0x80 || 0x7ff < code_point) {
        return 0;
      }
      *utf32_output++ = char32_t(code_point);
      pos += 2;
    } else if ((leading_byte & 0b11110000) == 0b11100000) {
      // We have a three-byte UTF-8
      if (pos + 2 >= len) {
        return 0;
      }  // minimal bound checking

      if ((data[pos + 1] & 0b11000000) != 0b10000000) {
        return 0;
      }
      if ((data[pos + 2] & 0b11000000) != 0b10000000) {
        return 0;
      }
      // range check
      uint32_t code_point = (leading_byte & 0b00001111) << 12 |
                            (data[pos + 1] & 0b00111111) << 6 |
                            (data[pos + 2] & 0b00111111);
      if (code_point < 0x800 || 0xffff < code_point ||
          (0xd7ff < code_point && code_point < 0xe000)) {
        return 0;
      }
      *utf32_output++ = char32_t(code_point);
      pos += 3;
    } else if ((leading_byte & 0b11111000) == 0b11110000) {  // 0b11110000
      // we have a 4-byte UTF-8 word.
      if (pos + 3 >= len) {
        return 0;
      }  // minimal bound checking
      if ((data[pos + 1] & 0b11000000) != 0b10000000) {
        return 0;
      }
      if ((data[pos + 2] & 0b11000000) != 0b10000000) {
        return 0;
      }
      if ((data[pos + 3] & 0b11000000) != 0b10000000) {
        return 0;
      }

      // range check
      uint32_t code_point = (leading_byte & 0b00000111) << 18 |
                            (data[pos + 1] & 0b00111111) << 12 |
                            (data[pos + 2] & 0b00111111) << 6 |
                            (data[pos + 3] & 0b00111111);
      if (code_point <= 0xffff || 0x10ffff < code_point) {
        return 0;
      }
      *utf32_output++ = char32_t(code_point);
      pos += 4;
    } else {
      return 0;
    }
  }
  return utf32_output - start;
}

size_t utf8_length_from_utf32(const char32_t* buf, size_t len) {
  // We are not BOM aware.
  const uint32_t* p = reinterpret_cast<const uint32_t*>(buf);
  size_t counter{0};
  for (size_t i = 0; i < len; i++) {
    /** ASCII **/
    if (p[i] <= 0x7F) {
      counter++;
    }
    /** two-byte **/
    else if (p[i] <= 0x7FF) {
      counter += 2;
    }
    /** three-byte **/
    else if (p[i] <= 0xFFFF) {
      counter += 3;
    }
    /** four-bytes **/
    else {
      counter += 4;
    }
  }
  return counter;
}

size_t utf32_length_from_utf8(const char* buf, size_t len) {
  const int8_t* p = reinterpret_cast<const int8_t*>(buf);
  size_t counter{0};
  for (size_t i = 0; i < len; i++) {
    // -65 is 0b10111111, anything larger in two-complement's
    // should start a new code point.
    if (p[i] > -65) {
      counter++;
    }
  }
  return counter;
}

size_t utf32_to_utf8(const char32_t* buf, size_t len, char* utf8_output) {
  const uint32_t* data = reinterpret_cast<const uint32_t*>(buf);
  size_t pos = 0;
  char* start{utf8_output};
  while (pos < len) {
    // try to convert the next block of 2 ASCII characters
    if (pos + 2 <= len) {  // if it is safe to read 8 more
                           // bytes, check that they are ascii
      uint64_t v;
      std::memcpy(&v, data + pos, sizeof(uint64_t));
      if ((v & 0xFFFFFF80FFFFFF80) == 0) {
        *utf8_output++ = char(buf[pos]);
        *utf8_output++ = char(buf[pos + 1]);
        pos += 2;
        continue;
      }
    }
    uint32_t word = data[pos];
    if ((word & 0xFFFFFF80) == 0) {
      // will generate one UTF-8 bytes
      *utf8_output++ = char(word);
      pos++;
    } else if ((word & 0xFFFFF800) == 0) {
      // will generate two UTF-8 bytes
      // we have 0b110XXXXX 0b10XXXXXX
      *utf8_output++ = char((word >> 6) | 0b11000000);
      *utf8_output++ = char((word & 0b111111) | 0b10000000);
      pos++;
    } else if ((word & 0xFFFF0000) == 0) {
      // will generate three UTF-8 bytes
      // we have 0b1110XXXX 0b10XXXXXX 0b10XXXXXX
      if (word >= 0xD800 && word <= 0xDFFF) {
        return 0;
      }
      *utf8_output++ = char((word >> 12) | 0b11100000);
      *utf8_output++ = char(((word >> 6) & 0b111111) | 0b10000000);
      *utf8_output++ = char((word & 0b111111) | 0b10000000);
      pos++;
    } else {
      // will generate four UTF-8 bytes
      // we have 0b11110XXX 0b10XXXXXX 0b10XXXXXX
      // 0b10XXXXXX
      if (word > 0x10FFFF) {
        return 0;
      }
      *utf8_output++ = char((word >> 18) | 0b11110000);
      *utf8_output++ = char(((word >> 12) & 0b111111) | 0b10000000);
      *utf8_output++ = char(((word >> 6) & 0b111111) | 0b10000000);
      *utf8_output++ = char((word & 0b111111) | 0b10000000);
      pos++;
    }
  }
  return utf8_output - start;
}
}  // namespace ada::idna
/* end file src/unicode_transcoding.cpp */
/* begin file src/mapping.cpp */

#include <algorithm>
#include <array>
#include <string>

/* begin file src/mapping_tables.cpp */
// IDNA  15.0.0

// clang-format off
#ifndef ADA_IDNA_TABLES_H
#define ADA_IDNA_TABLES_H
#include <cstdint>

namespace ada::idna {

const uint32_t mappings[5164] =
{
	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, 32, 32, 776, 32, 772, 50, 51, 32, 769,
	956, 32, 807, 49, 49, 8260, 52, 49, 8260, 50, 51, 8260, 52, 224, 225, 226, 227,
	228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243,
	244, 245, 246, 248, 249, 250, 251, 252, 253, 254, 257, 259, 261, 263, 265, 267,
	269, 271, 273, 275, 277, 279, 281, 283, 285, 287, 289, 291, 293, 295, 297, 299,
	301, 303, 105, 775, 309, 311, 314, 316, 318, 108, 183, 322, 324, 326, 328, 700,
	110, 331, 333, 335, 337, 339, 341, 343, 345, 347, 349, 351, 353, 355, 357, 359,
	361, 363, 365, 367, 369, 371, 373, 375, 255, 378, 380, 382, 595, 387, 389, 596,
	392, 598, 599, 396, 477, 601, 603, 402, 608, 611, 617, 616, 409, 623, 626, 629,
	417, 419, 421, 640, 424, 643, 429, 648, 432, 650, 651, 436, 438, 658, 441, 445,
	100, 382, 108, 106, 110, 106, 462, 464, 466, 468, 470, 472, 474, 476, 479, 481,
	483, 485, 487, 489, 491, 493, 495, 100, 122, 501, 405, 447, 505, 507, 509, 511,
	513, 515, 517, 519, 521, 523, 525, 527, 529, 531, 533, 535, 537, 539, 541, 543,
	414, 547, 549, 551, 553, 555, 557, 559, 561, 563, 11365, 572, 410, 11366, 578, 384,
	649, 652, 583, 585, 587, 589, 591, 614, 633, 635, 641, 32, 774, 32, 775, 32, 778,
	32, 808, 32, 771, 32, 779, 661, 768, 787, 776, 769, 953, 881, 883, 697, 887, 32,
	953, 59, 1011, 32, 776, 769, 940, 941, 942, 943, 972, 973, 974, 945, 946, 947, 948,
	949, 950, 951, 952, 954, 955, 957, 958, 959, 960, 961, 963, 964, 965, 966, 967,
	968, 969, 970, 971, 983, 985, 987, 989, 991, 993, 995, 997, 999, 1001, 1003, 1005,
	1007, 1016, 1019, 891, 892, 893, 1104, 1105, 1106, 1107, 1108, 1109, 1110, 1111,
	1112, 1113, 1114, 1115, 1116, 1117, 1118, 1119, 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, 1121, 1123,
	1125, 1127, 1129, 1131, 1133, 1135, 1137, 1139, 1141, 1143, 1145, 1147, 1149, 1151,
	1153, 1163, 1165, 1167, 1169, 1171, 1173, 1175, 1177, 1179, 1181, 1183, 1185, 1187,
	1189, 1191, 1193, 1195, 1197, 1199, 1201, 1203, 1205, 1207, 1209, 1211, 1213, 1215,
	1218, 1220, 1222, 1224, 1226, 1228, 1230, 1233, 1235, 1237, 1239, 1241, 1243, 1245,
	1247, 1249, 1251, 1253, 1255, 1257, 1259, 1261, 1263, 1265, 1267, 1269, 1271, 1273,
	1275, 1277, 1279, 1281, 1283, 1285, 1287, 1289, 1291, 1293, 1295, 1297, 1299, 1301,
	1303, 1305, 1307, 1309, 1311, 1313, 1315, 1317, 1319, 1321, 1323, 1325, 1327, 1377,
	1378, 1379, 1380, 1381, 1382, 1383, 1384, 1385, 1386, 1387, 1388, 1389, 1390, 1391,
	1392, 1393, 1394, 1395, 1396, 1397, 1398, 1399, 1400, 1401, 1402, 1403, 1404, 1405,
	1406, 1407, 1408, 1409, 1410, 1411, 1412, 1413, 1414, 1381, 1410, 1575, 1652, 1608,
	1652, 1735, 1652, 1610, 1652, 2325, 2364, 2326, 2364, 2327, 2364, 2332, 2364, 2337,
	2364, 2338, 2364, 2347, 2364, 2351, 2364, 2465, 2492, 2466, 2492, 2479, 2492, 2610,
	2620, 2616, 2620, 2582, 2620, 2583, 2620, 2588, 2620, 2603, 2620, 2849, 2876, 2850,
	2876, 3661, 3634, 3789, 3762, 3755, 3737, 3755, 3745, 3851, 3906, 4023, 3916, 4023,
	3921, 4023, 3926, 4023, 3931, 4023, 3904, 4021, 3953, 3954, 3953, 3956, 4018, 3968,
	4018, 3953, 3968, 4019, 3968, 4019, 3953, 3968, 3986, 4023, 3996, 4023, 4001, 4023,
	4006, 4023, 4011, 4023, 3984, 4021, 11559, 11565, 4316, 5104, 5105, 5106, 5107,
	5108, 5109, 42571, 4304, 4305, 4306, 4307, 4308, 4309, 4310, 4311, 4312, 4313, 4314,
	4315, 4317, 4318, 4319, 4320, 4321, 4322, 4323, 4324, 4325, 4326, 4327, 4328, 4329,
	4330, 4331, 4332, 4333, 4334, 4335, 4336, 4337, 4338, 4339, 4340, 4341, 4342, 4343,
	4344, 4345, 4346, 4349, 4350, 4351, 592, 593, 7426, 604, 7446, 7447, 7453, 7461,
	594, 597, 607, 609, 613, 618, 7547, 669, 621, 7557, 671, 625, 624, 627, 628, 632,
	642, 427, 7452, 656, 657, 7681, 7683, 7685, 7687, 7689, 7691, 7693, 7695, 7697,
	7699, 7701, 7703, 7705, 7707, 7709, 7711, 7713, 7715, 7717, 7719, 7721, 7723, 7725,
	7727, 7729, 7731, 7733, 7735, 7737, 7739, 7741, 7743, 7745, 7747, 7749, 7751, 7753,
	7755, 7757, 7759, 7761, 7763, 7765, 7767, 7769, 7771, 7773, 7775, 7777, 7779, 7781,
	7783, 7785, 7787, 7789, 7791, 7793, 7795, 7797, 7799, 7801, 7803, 7805, 7807, 7809,
	7811, 7813, 7815, 7817, 7819, 7821, 7823, 7825, 7827, 7829, 97, 702, 115, 115, 7841,
	7843, 7845, 7847, 7849, 7851, 7853, 7855, 7857, 7859, 7861, 7863, 7865, 7867, 7869,
	7871, 7873, 7875, 7877, 7879, 7881, 7883, 7885, 7887, 7889, 7891, 7893, 7895, 7897,
	7899, 7901, 7903, 7905, 7907, 7909, 7911, 7913, 7915, 7917, 7919, 7921, 7923, 7925,
	7927, 7929, 7931, 7933, 7935, 7936, 7937, 7938, 7939, 7940, 7941, 7942, 7943, 7952,
	7953, 7954, 7955, 7956, 7957, 7968, 7969, 7970, 7971, 7972, 7973, 7974, 7975, 7984,
	7985, 7986, 7987, 7988, 7989, 7990, 7991, 8000, 8001, 8002, 8003, 8004, 8005, 8017,
	8019, 8021, 8023, 8032, 8033, 8034, 8035, 8036, 8037, 8038, 8039, 7936, 953, 7937,
	953, 7938, 953, 7939, 953, 7940, 953, 7941, 953, 7942, 953, 7943, 953, 7968, 953,
	7969, 953, 7970, 953, 7971, 953, 7972, 953, 7973, 953, 7974, 953, 7975, 953, 8032,
	953, 8033, 953, 8034, 953, 8035, 953, 8036, 953, 8037, 953, 8038, 953, 8039, 953,
	8048, 953, 945, 953, 940, 953, 8118, 953, 8112, 8113, 32, 787, 32, 834, 32, 776,
	834, 8052, 953, 951, 953, 942, 953, 8134, 953, 8050, 32, 787, 768, 32, 787, 769,
	32, 787, 834, 912, 8144, 8145, 8054, 32, 788, 768, 32, 788, 769, 32, 788, 834, 944,
	8160, 8161, 8058, 8165, 32, 776, 768, 96, 8060, 953, 969, 953, 974, 953, 8182, 953,
	8056, 8208, 32, 819, 8242, 8242, 8242, 8242, 8242, 8245, 8245, 8245, 8245, 8245,
	33, 33, 32, 773, 63, 63, 63, 33, 33, 63, 48, 53, 54, 55, 56, 57, 43, 8722, 61, 40,
	41, 97, 47, 99, 97, 47, 115, 176, 99, 99, 47, 111, 99, 47, 117, 176, 102, 115, 109,
	116, 101, 108, 116, 109, 1488, 1489, 1490, 1491, 102, 97, 120, 8721, 49, 8260, 55,
	49, 8260, 57, 49, 8260, 49, 48, 49, 8260, 51, 50, 8260, 51, 49, 8260, 53, 50, 8260,
	53, 51, 8260, 53, 52, 8260, 53, 49, 8260, 54, 53, 8260, 54, 49, 8260, 56, 51, 8260,
	56, 53, 8260, 56, 55, 8260, 56, 105, 105, 105, 105, 105, 105, 118, 118, 105, 118,
	105, 105, 118, 105, 105, 105, 105, 120, 120, 105, 120, 105, 105, 48, 8260, 51, 8747,
	8747, 8747, 8747, 8747, 8750, 8750, 8750, 8750, 8750, 12296, 12297, 49, 50, 49,
	51, 49, 52, 49, 53, 49, 54, 49, 55, 49, 56, 49, 57, 50, 48, 40, 49, 41, 40, 50,
	41, 40, 51, 41, 40, 52, 41, 40, 53, 41, 40, 54, 41, 40, 55, 41, 40, 56, 41, 40,
	57, 41, 40, 49, 48, 41, 40, 49, 49, 41, 40, 49, 50, 41, 40, 49, 51, 41, 40, 49,
	52, 41, 40, 49, 53, 41, 40, 49, 54, 41, 40, 49, 55, 41, 40, 49, 56, 41, 40, 49,
	57, 41, 40, 50, 48, 41, 40, 97, 41, 40, 98, 41, 40, 99, 41, 40, 100, 41, 40, 101,
	41, 40, 102, 41, 40, 103, 41, 40, 104, 41, 40, 105, 41, 40, 106, 41, 40, 107, 41,
	40, 108, 41, 40, 109, 41, 40, 110, 41, 40, 111, 41, 40, 112, 41, 40, 113, 41, 40,
	114, 41, 40, 115, 41, 40, 116, 41, 40, 117, 41, 40, 118, 41, 40, 119, 41, 40, 120,
	41, 40, 121, 41, 40, 122, 41, 58, 58, 61, 61, 61, 10973, 824, 11312, 11313, 11314,
	11315, 11316, 11317, 11318, 11319, 11320, 11321, 11322, 11323, 11324, 11325, 11326,
	11327, 11328, 11329, 11330, 11331, 11332, 11333, 11334, 11335, 11336, 11337, 11338,
	11339, 11340, 11341, 11342, 11343, 11344, 11345, 11346, 11347, 11348, 11349, 11350,
	11351, 11352, 11353, 11354, 11355, 11356, 11357, 11358, 11359, 11361, 619, 7549,
	637, 11368, 11370, 11372, 11379, 11382, 575, 576, 11393, 11395, 11397, 11399, 11401,
	11403, 11405, 11407, 11409, 11411, 11413, 11415, 11417, 11419, 11421, 11423, 11425,
	11427, 11429, 11431, 11433, 11435, 11437, 11439, 11441, 11443, 11445, 11447, 11449,
	11451, 11453, 11455, 11457, 11459, 11461, 11463, 11465, 11467, 11469, 11471, 11473,
	11475, 11477, 11479, 11481, 11483, 11485, 11487, 11489, 11491, 11500, 11502, 11507,
	11617, 27597, 40863, 19968, 20008, 20022, 20031, 20057, 20101, 20108, 20128, 20154,
	20799, 20837, 20843, 20866, 20886, 20907, 20960, 20981, 20992, 21147, 21241, 21269,
	21274, 21304, 21313, 21340, 21353, 21378, 21430, 21448, 21475, 22231, 22303, 22763,
	22786, 22794, 22805, 22823, 22899, 23376, 23424, 23544, 23567, 23586, 23608, 23662,
	23665, 24027, 24037, 24049, 24062, 24178, 24186, 24191, 24308, 24318, 24331, 24339,
	24400, 24417, 24435, 24515, 25096, 25142, 25163, 25903, 25908, 25991, 26007, 26020,
	26041, 26080, 26085, 26352, 26376, 26408, 27424, 27490, 27513, 27571, 27595, 27604,
	27611, 27663, 27668, 27700, 28779, 29226, 29238, 29243, 29247, 29255, 29273, 29275,
	29356, 29572, 29577, 29916, 29926, 29976, 29983, 29992, 30000, 30091, 30098, 30326,
	30333, 30382, 30399, 30446, 30683, 30690, 30707, 31034, 31160, 31166, 31348, 31435,
	31481, 31859, 31992, 32566, 32593, 32650, 32701, 32769, 32780, 32786, 32819, 32895,
	32905, 33251, 33258, 33267, 33276, 33292, 33307, 33311, 33390, 33394, 33400, 34381,
	34411, 34880, 34892, 34915, 35198, 35211, 35282, 35328, 35895, 35910, 35925, 35960,
	35997, 36196, 36208, 36275, 36523, 36554, 36763, 36784, 36789, 37009, 37193, 37318,
	37324, 37329, 38263, 38272, 38428, 38582, 38585, 38632, 38737, 38750, 38754, 38761,
	38859, 38893, 38899, 38913, 39080, 39131, 39135, 39318, 39321, 39340, 39592, 39640,
	39647, 39717, 39727, 39730, 39740, 39770, 40165, 40565, 40575, 40613, 40635, 40643,
	40653, 40657, 40697, 40701, 40718, 40723, 40736, 40763, 40778, 40786, 40845, 40860,
	40864, 46, 12306, 21316, 21317, 32, 12441, 32, 12442, 12424, 12426, 12467, 12488,
	4352, 4353, 4522, 4354, 4524, 4525, 4355, 4356, 4357, 4528, 4529, 4530, 4531, 4532,
	4533, 4378, 4358, 4359, 4360, 4385, 4361, 4362, 4363, 4364, 4365, 4366, 4367, 4368,
	4369, 4370, 4449, 4450, 4451, 4452, 4453, 4454, 4455, 4456, 4457, 4458, 4459, 4460,
	4461, 4462, 4463, 4464, 4465, 4466, 4467, 4468, 4469, 4372, 4373, 4551, 4552, 4556,
	4558, 4563, 4567, 4569, 4380, 4573, 4575, 4381, 4382, 4384, 4386, 4387, 4391, 4393,
	4395, 4396, 4397, 4398, 4399, 4402, 4406, 4416, 4423, 4428, 4593, 4594, 4439, 4440,
	4441, 4484, 4485, 4488, 4497, 4498, 4500, 4510, 4513, 19977, 22235, 19978, 20013,
	19979, 30002, 19993, 19969, 22825, 22320, 40, 4352, 41, 40, 4354, 41, 40, 4355,
	41, 40, 4357, 41, 40, 4358, 41, 40, 4359, 41, 40, 4361, 41, 40, 4363, 41, 40, 4364,
	41, 40, 4366, 41, 40, 4367, 41, 40, 4368, 41, 40, 4369, 41, 40, 4370, 41, 40, 44032,
	41, 40, 45208, 41, 40, 45796, 41, 40, 46972, 41, 40, 47560, 41, 40, 48148, 41, 40,
	49324, 41, 40, 50500, 41, 40, 51088, 41, 40, 52264, 41, 40, 52852, 41, 40, 53440,
	41, 40, 54028, 41, 40, 54616, 41, 40, 51452, 41, 40, 50724, 51204, 41, 40, 50724,
	54980, 41, 40, 19968, 41, 40, 20108, 41, 40, 19977, 41, 40, 22235, 41, 40, 20116,
	41, 40, 20845, 41, 40, 19971, 41, 40, 20843, 41, 40, 20061, 41, 40, 21313, 41, 40,
	26376, 41, 40, 28779, 41, 40, 27700, 41, 40, 26408, 41, 40, 37329, 41, 40, 22303,
	41, 40, 26085, 41, 40, 26666, 41, 40, 26377, 41, 40, 31038, 41, 40, 21517, 41, 40,
	29305, 41, 40, 36001, 41, 40, 31069, 41, 40, 21172, 41, 40, 20195, 41, 40, 21628,
	41, 40, 23398, 41, 40, 30435, 41, 40, 20225, 41, 40, 36039, 41, 40, 21332, 41, 40,
	31085, 41, 40, 20241, 41, 40, 33258, 41, 40, 33267, 41, 21839, 24188, 31631, 112,
	116, 101, 50, 50, 50, 52, 50, 53, 50, 54, 50, 55, 50, 56, 50, 57, 51, 48, 51, 51,
	51, 52, 51, 53, 52280, 44256, 51452, 51032, 50864, 31192, 30007, 36969, 20778, 21360,
	27880, 38917, 20889, 27491, 24038, 21491, 21307, 23447, 22812, 51, 54, 51, 55, 51,
	56, 51, 57, 52, 48, 52, 52, 52, 53, 52, 54, 52, 55, 52, 56, 52, 57, 53, 48, 49,
	26376, 50, 26376, 51, 26376, 52, 26376, 53, 26376, 54, 26376, 55, 26376, 56, 26376,
	57, 26376, 49, 48, 26376, 49, 49, 26376, 49, 50, 26376, 104, 103, 101, 114, 103,
	101, 118, 108, 116, 100, 12450, 12452, 12454, 12456, 12458, 12459, 12461, 12463,
	12465, 12469, 12471, 12473, 12475, 12477, 12479, 12481, 12484, 12486, 12490, 12491,
	12492, 12493, 12494, 12495, 12498, 12501, 12504, 12507, 12510, 12511, 12512, 12513,
	12514, 12516, 12518, 12520, 12521, 12522, 12523, 12524, 12525, 12527, 12528, 12529,
	12530, 20196, 21644, 12450, 12497, 12540, 12488, 12450, 12523, 12501, 12449, 12450,
	12531, 12506, 12450, 12450, 12540, 12523, 12452, 12491, 12531, 12464, 12452, 12531,
	12481, 12454, 12457, 12531, 12456, 12473, 12463, 12540, 12489, 12456, 12540, 12459,
	12540, 12458, 12531, 12473, 12458, 12540, 12512, 12459, 12452, 12522, 12459, 12521,
	12483, 12488, 12459, 12525, 12522, 12540, 12460, 12525, 12531, 12460, 12531, 12510,
	12462, 12460, 12462, 12491, 12540, 12461, 12517, 12522, 12540, 12462, 12523, 12480,
	12540, 12461, 12525, 12461, 12525, 12464, 12521, 12512, 12461, 12525, 12513, 12540,
	12488, 12523, 12461, 12525, 12527, 12483, 12488, 12464, 12521, 12512, 12488, 12531,
	12463, 12523, 12476, 12452, 12525, 12463, 12525, 12540, 12493, 12465, 12540, 12473,
	12467, 12523, 12490, 12467, 12540, 12509, 12469, 12452, 12463, 12523, 12469, 12531,
	12481, 12540, 12512, 12471, 12522, 12531, 12464, 12475, 12531, 12481, 12475, 12531,
	12488, 12480, 12540, 12473, 12487, 12471, 12489, 12523, 12490, 12494, 12494, 12483,
	12488, 12495, 12452, 12484, 12497, 12540, 12475, 12531, 12488, 12497, 12540, 12484,
	12496, 12540, 12524, 12523, 12500, 12450, 12473, 12488, 12523, 12500, 12463, 12523,
	12500, 12467, 12499, 12523, 12501, 12449, 12521, 12483, 12489, 12501, 12451, 12540,
	12488, 12502, 12483, 12471, 12455, 12523, 12501, 12521, 12531, 12504, 12463, 12479,
	12540, 12523, 12506, 12477, 12506, 12491, 12498, 12504, 12523, 12484, 12506, 12531,
	12473, 12506, 12540, 12472, 12505, 12540, 12479, 12509, 12452, 12531, 12488, 12508,
	12523, 12488, 12507, 12531, 12509, 12531, 12489, 12507, 12540, 12523, 12507, 12540,
	12531, 12510, 12452, 12463, 12525, 12510, 12452, 12523, 12510, 12483, 12495, 12510,
	12523, 12463, 12510, 12531, 12471, 12519, 12531, 12511, 12463, 12525, 12531, 12511,
	12522, 12511, 12522, 12496, 12540, 12523, 12513, 12460, 12513, 12460, 12488, 12531,
	12516, 12540, 12489, 12516, 12540, 12523, 12518, 12450, 12531, 12522, 12483, 12488,
	12523, 12522, 12521, 12523, 12500, 12540, 12523, 12540, 12502, 12523, 12524, 12512,
	12524, 12531, 12488, 12466, 12531, 48, 28857, 49, 28857, 50, 28857, 51, 28857, 52,
	28857, 53, 28857, 54, 28857, 55, 28857, 56, 28857, 57, 28857, 49, 48, 28857, 49,
	49, 28857, 49, 50, 28857, 49, 51, 28857, 49, 52, 28857, 49, 53, 28857, 49, 54, 28857,
	49, 55, 28857, 49, 56, 28857, 49, 57, 28857, 50, 48, 28857, 50, 49, 28857, 50, 50,
	28857, 50, 51, 28857, 50, 52, 28857, 104, 112, 97, 100, 97, 97, 117, 98, 97, 114,
	111, 118, 112, 99, 100, 109, 100, 109, 50, 100, 109, 51, 105, 117, 24179, 25104,
	26157, 21644, 22823, 27491, 26126, 27835, 26666, 24335, 20250, 31038, 110, 97, 956,
	97, 109, 97, 107, 97, 107, 98, 109, 98, 103, 98, 99, 97, 108, 107, 99, 97, 108,
	112, 102, 110, 102, 956, 102, 956, 103, 109, 103, 107, 103, 104, 122, 107, 104,
	122, 109, 104, 122, 116, 104, 122, 956, 108, 109, 108, 100, 108, 102, 109, 110,
	109, 956, 109, 109, 109, 99, 109, 107, 109, 109, 109, 50, 99, 109, 50, 107, 109,
	50, 109, 109, 51, 99, 109, 51, 107, 109, 51, 109, 8725, 115, 109, 8725, 115, 50,
	107, 112, 97, 109, 112, 97, 103, 112, 97, 114, 97, 100, 114, 97, 100, 8725, 115,
	114, 97, 100, 8725, 115, 50, 112, 115, 110, 115, 956, 115, 109, 115, 112, 118, 110,
	118, 956, 118, 109, 118, 107, 118, 112, 119, 110, 119, 956, 119, 109, 119, 107,
	119, 107, 969, 109, 969, 98, 113, 99, 8725, 107, 103, 100, 98, 103, 121, 104, 97,
	105, 110, 107, 107, 107, 116, 108, 110, 108, 111, 103, 108, 120, 109, 105, 108,
	109, 111, 108, 112, 104, 112, 112, 109, 112, 114, 115, 118, 119, 98, 118, 8725,
	109, 97, 8725, 109, 49, 26085, 50, 26085, 51, 26085, 52, 26085, 53, 26085, 54, 26085,
	55, 26085, 56, 26085, 57, 26085, 49, 48, 26085, 49, 49, 26085, 49, 50, 26085, 49,
	51, 26085, 49, 52, 26085, 49, 53, 26085, 49, 54, 26085, 49, 55, 26085, 49, 56, 26085,
	49, 57, 26085, 50, 48, 26085, 50, 49, 26085, 50, 50, 26085, 50, 51, 26085, 50, 52,
	26085, 50, 53, 26085, 50, 54, 26085, 50, 55, 26085, 50, 56, 26085, 50, 57, 26085,
	51, 48, 26085, 51, 49, 26085, 103, 97, 108, 42561, 42563, 42565, 42567, 42569, 42573,
	42575, 42577, 42579, 42581, 42583, 42585, 42587, 42589, 42591, 42593, 42595, 42597,
	42599, 42601, 42603, 42605, 42625, 42627, 42629, 42631, 42633, 42635, 42637, 42639,
	42641, 42643, 42645, 42647, 42649, 42651, 42787, 42789, 42791, 42793, 42795, 42797,
	42799, 42803, 42805, 42807, 42809, 42811, 42813, 42815, 42817, 42819, 42821, 42823,
	42825, 42827, 42829, 42831, 42833, 42835, 42837, 42839, 42841, 42843, 42845, 42847,
	42849, 42851, 42853, 42855, 42857, 42859, 42861, 42863, 42874, 42876, 7545, 42879,
	42881, 42883, 42885, 42887, 42892, 42897, 42899, 42903, 42905, 42907, 42909, 42911,
	42913, 42915, 42917, 42919, 42921, 620, 670, 647, 43859, 42933, 42935, 42937, 42939,
	42941, 42943, 42945, 42947, 42900, 7566, 42952, 42954, 42961, 42967, 42969, 42998,
	43831, 43858, 653, 5024, 5025, 5026, 5027, 5028, 5029, 5030, 5031, 5032, 5033, 5034,
	5035, 5036, 5037, 5038, 5039, 5040, 5041, 5042, 5043, 5044, 5045, 5046, 5047, 5048,
	5049, 5050, 5051, 5052, 5053, 5054, 5055, 5056, 5057, 5058, 5059, 5060, 5061, 5062,
	5063, 5064, 5065, 5066, 5067, 5068, 5069, 5070, 5071, 5072, 5073, 5074, 5075, 5076,
	5077, 5078, 5079, 5080, 5081, 5082, 5083, 5084, 5085, 5086, 5087, 5088, 5089, 5090,
	5091, 5092, 5093, 5094, 5095, 5096, 5097, 5098, 5099, 5100, 5101, 5102, 5103, 35912,
	26356, 36040, 28369, 20018, 21477, 22865, 21895, 22856, 25078, 30313, 32645, 34367,
	34746, 35064, 37007, 27138, 27931, 28889, 29662, 33853, 37226, 39409, 20098, 21365,
	27396, 29211, 34349, 40478, 23888, 28651, 34253, 35172, 25289, 33240, 34847, 24266,
	26391, 28010, 29436, 37070, 20358, 20919, 21214, 25796, 27347, 29200, 30439, 34310,
	34396, 36335, 38706, 39791, 40442, 30860, 31103, 32160, 33737, 37636, 35542, 22751,
	24324, 31840, 32894, 29282, 30922, 36034, 38647, 22744, 23650, 27155, 28122, 28431,
	32047, 32311, 38475, 21202, 32907, 20956, 20940, 31260, 32190, 33777, 38517, 35712,
	25295, 35582, 20025, 23527, 24594, 29575, 30064, 21271, 30971, 20415, 24489, 19981,
	27852, 25976, 32034, 21443, 22622, 30465, 33865, 35498, 27578, 27784, 25342, 33509,
	25504, 30053, 20142, 20841, 20937, 26753, 31975, 33391, 35538, 37327, 21237, 21570,
	24300, 26053, 28670, 31018, 38317, 39530, 40599, 40654, 26310, 27511, 36706, 24180,
	24976, 25088, 25754, 28451, 29001, 29833, 31178, 32244, 32879, 36646, 34030, 36899,
	37706, 21015, 21155, 21693, 28872, 35010, 24265, 24565, 25467, 27566, 31806, 29557,
	22265, 23994, 24604, 29618, 29801, 32666, 32838, 37428, 38646, 38728, 38936, 20363,
	31150, 37300, 38584, 24801, 20102, 20698, 23534, 23615, 26009, 29134, 30274, 34044,
	36988, 26248, 38446, 21129, 26491, 26611, 27969, 28316, 29705, 30041, 30827, 32016,
	39006, 25134, 38520, 20523, 23833, 28138, 36650, 24459, 24900, 26647, 38534, 21033,
	21519, 23653, 26131, 26446, 26792, 27877, 29702, 30178, 32633, 35023, 35041, 38626,
	21311, 28346, 21533, 29136, 29848, 34298, 38563, 40023, 40607, 26519, 28107, 33256,
	31520, 31890, 29376, 28825, 35672, 20160, 33590, 21050, 20999, 24230, 25299, 31958,
	23429, 27934, 26292, 36667, 38477, 24275, 20800, 21952, 22618, 26228, 20958, 29482,
	30410, 31036, 31070, 31077, 31119, 38742, 31934, 34322, 35576, 36920, 37117, 39151,
	39164, 39208, 40372, 37086, 38583, 20398, 20711, 20813, 21193, 21220, 21329, 21917,
	22022, 22120, 22592, 22696, 23652, 24724, 24936, 24974, 25074, 25935, 26082, 26257,
	26757, 28023, 28186, 28450, 29038, 29227, 29730, 30865, 31049, 31048, 31056, 31062,
	31117, 31118, 31296, 31361, 31680, 32265, 32321, 32626, 32773, 33261, 33401, 33879,
	35088, 35222, 35585, 35641, 36051, 36104, 36790, 38627, 38911, 38971, 24693, 148206,
	33304, 20006, 20917, 20840, 20352, 20805, 20864, 21191, 21242, 21845, 21913, 21986,
	22707, 22852, 22868, 23138, 23336, 24274, 24281, 24425, 24493, 24792, 24910, 24840,
	24928, 25140, 25540, 25628, 25682, 25942, 26395, 26454, 28379, 28363, 28702, 30631,
	29237, 29359, 29809, 29958, 30011, 30237, 30239, 30427, 30452, 30538, 30528, 30924,
	31409, 31867, 32091, 32574, 33618, 33775, 34681, 35137, 35206, 35519, 35531, 35565,
	35722, 36664, 36978, 37273, 37494, 38524, 38875, 38923, 39698, 141386, 141380, 144341,
	15261, 16408, 16441, 152137, 154832, 163539, 40771, 40846, 102, 102, 102, 105, 102,
	108, 102, 102, 108, 1396, 1398, 1396, 1381, 1396, 1387, 1406, 1398, 1396, 1389,
	1497, 1460, 1522, 1463, 1506, 1492, 1499, 1500, 1501, 1512, 1514, 1513, 1473, 1513,
	1474, 1513, 1468, 1473, 1513, 1468, 1474, 1488, 1463, 1488, 1464, 1488, 1468, 1489,
	1468, 1490, 1468, 1491, 1468, 1492, 1468, 1493, 1468, 1494, 1468, 1496, 1468, 1497,
	1468, 1498, 1468, 1499, 1468, 1500, 1468, 1502, 1468, 1504, 1468, 1505, 1468, 1507,
	1468, 1508, 1468, 1510, 1468, 1511, 1468, 1512, 1468, 1514, 1468, 1493, 1465, 1489,
	1471, 1499, 1471, 1508, 1471, 1488, 1500, 1649, 1659, 1662, 1664, 1658, 1663, 1657,
	1700, 1702, 1668, 1667, 1670, 1671, 1677, 1676, 1678, 1672, 1688, 1681, 1705, 1711,
	1715, 1713, 1722, 1723, 1728, 1729, 1726, 1746, 1747, 1709, 1734, 1736, 1739, 1733,
	1737, 1744, 1609, 1574, 1575, 1574, 1749, 1574, 1608, 1574, 1735, 1574, 1734, 1574,
	1736, 1574, 1744, 1574, 1609, 1740, 1574, 1580, 1574, 1581, 1574, 1605, 1574, 1610,
	1576, 1580, 1576, 1581, 1576, 1582, 1576, 1605, 1576, 1609, 1576, 1610, 1578, 1580,
	1578, 1581, 1578, 1582, 1578, 1605, 1578, 1609, 1578, 1610, 1579, 1580, 1579, 1605,
	1579, 1609, 1579, 1610, 1580, 1581, 1580, 1605, 1581, 1605, 1582, 1580, 1582, 1581,
	1582, 1605, 1587, 1580, 1587, 1581, 1587, 1582, 1587, 1605, 1589, 1581, 1589, 1605,
	1590, 1580, 1590, 1581, 1590, 1582, 1590, 1605, 1591, 1581, 1591, 1605, 1592, 1605,
	1593, 1580, 1593, 1605, 1594, 1580, 1594, 1605, 1601, 1580, 1601, 1581, 1601, 1582,
	1601, 1605, 1601, 1609, 1601, 1610, 1602, 1581, 1602, 1605, 1602, 1609, 1602, 1610,
	1603, 1575, 1603, 1580, 1603, 1581, 1603, 1582, 1603, 1604, 1603, 1605, 1603, 1609,
	1603, 1610, 1604, 1580, 1604, 1581, 1604, 1582, 1604, 1605, 1604, 1609, 1604, 1610,
	1605, 1580, 1605, 1605, 1605, 1609, 1605, 1610, 1606, 1580, 1606, 1581, 1606, 1582,
	1606, 1605, 1606, 1609, 1606, 1610, 1607, 1580, 1607, 1605, 1607, 1609, 1607, 1610,
	1610, 1581, 1610, 1582, 1610, 1609, 1584, 1648, 1585, 1648, 1609, 1648, 32, 1612,
	1617, 32, 1613, 1617, 32, 1614, 1617, 32, 1615, 1617, 32, 1616, 1617, 32, 1617,
	1648, 1574, 1585, 1574, 1586, 1574, 1606, 1576, 1585, 1576, 1586, 1576, 1606, 1578,
	1585, 1578, 1586, 1578, 1606, 1579, 1585, 1579, 1586, 1579, 1606, 1605, 1575, 1606,
	1585, 1606, 1586, 1606, 1606, 1610, 1585, 1610, 1586, 1574, 1582, 1574, 1607, 1576,
	1607, 1578, 1607, 1589, 1582, 1604, 1607, 1606, 1607, 1607, 1648, 1579, 1607, 1587,
	1607, 1588, 1605, 1588, 1607, 1600, 1614, 1617, 1600, 1615, 1617, 1600, 1616, 1617,
	1591, 1609, 1591, 1610, 1593, 1609, 1593, 1610, 1594, 1609, 1594, 1610, 1587, 1609,
	1587, 1610, 1588, 1609, 1588, 1610, 1581, 1609, 1580, 1609, 1580, 1610, 1582, 1609,
	1589, 1609, 1589, 1610, 1590, 1609, 1590, 1610, 1588, 1580, 1588, 1581, 1588, 1582,
	1588, 1585, 1587, 1585, 1589, 1585, 1590, 1585, 1575, 1611, 1578, 1580, 1605, 1578,
	1581, 1580, 1578, 1581, 1605, 1578, 1582, 1605, 1578, 1605, 1580, 1578, 1605, 1581,
	1578, 1605, 1582, 1581, 1605, 1610, 1581, 1605, 1609, 1587, 1581, 1580, 1587, 1580,
	1581, 1587, 1580, 1609, 1587, 1605, 1581, 1587, 1605, 1580, 1587, 1605, 1605, 1589,
	1581, 1581, 1589, 1605, 1605, 1588, 1581, 1605, 1588, 1580, 1610, 1588, 1605, 1582,
	1588, 1605, 1605, 1590, 1581, 1609, 1590, 1582, 1605, 1591, 1605, 1581, 1591, 1605,
	1605, 1591, 1605, 1610, 1593, 1580, 1605, 1593, 1605, 1605, 1593, 1605, 1609, 1594,
	1605, 1605, 1594, 1605, 1610, 1594, 1605, 1609, 1601, 1582, 1605, 1602, 1605, 1581,
	1602, 1605, 1605, 1604, 1581, 1605, 1604, 1581, 1610, 1604, 1581, 1609, 1604, 1580,
	1580, 1604, 1582, 1605, 1604, 1605, 1581, 1605, 1581, 1580, 1605, 1581, 1610, 1605,
	1580, 1581, 1605, 1582, 1605, 1605, 1580, 1582, 1607, 1605, 1580, 1607, 1605, 1605,
	1606, 1581, 1605, 1606, 1581, 1609, 1606, 1580, 1605, 1606, 1580, 1609, 1606, 1605,
	1610, 1606, 1605, 1609, 1610, 1605, 1605, 1576, 1582, 1610, 1578, 1580, 1610, 1578,
	1580, 1609, 1578, 1582, 1610, 1578, 1582, 1609, 1578, 1605, 1610, 1578, 1605, 1609,
	1580, 1605, 1610, 1580, 1581, 1609, 1580, 1605, 1609, 1587, 1582, 1609, 1589, 1581,
	1610, 1588, 1581, 1610, 1590, 1581, 1610, 1604, 1580, 1610, 1604, 1605, 1610, 1610,
	1580, 1610, 1610, 1605, 1610, 1605, 1605, 1610, 1602, 1605, 1610, 1606, 1581, 1610,
	1593, 1605, 1610, 1603, 1605, 1610, 1606, 1580, 1581, 1605, 1582, 1610, 1604, 1580,
	1605, 1603, 1605, 1605, 1580, 1581, 1610, 1581, 1580, 1610, 1605, 1580, 1610, 1601,
	1605, 1610, 1576, 1581, 1610, 1587, 1582, 1610, 1606, 1580, 1610, 1589, 1604, 1746,
	1602, 1604, 1746, 1575, 1604, 1604, 1607, 1575, 1603, 1576, 1585, 1605, 1581, 1605,
	1583, 1589, 1604, 1593, 1605, 1585, 1587, 1608, 1604, 1593, 1604, 1610, 1607, 1608,
	1587, 1604, 1605, 1589, 1604, 1609, 1589, 1604, 1609, 32, 1575, 1604, 1604, 1607,
	32, 1593, 1604, 1610, 1607, 32, 1608, 1587, 1604, 1605, 1580, 1604, 32, 1580, 1604,
	1575, 1604, 1607, 1585, 1740, 1575, 1604, 44, 12289, 12310, 12311, 8212, 8211, 95,
	123, 125, 12308, 12309, 12304, 12305, 12298, 12299, 12300, 12301, 12302, 12303,
	91, 93, 35, 38, 42, 45, 60, 62, 92, 36, 37, 64, 32, 1611, 1600, 1611, 1600, 1617,
	32, 1618, 1600, 1618, 1569, 1570, 1571, 1572, 1573, 1577, 1604, 1570, 1604, 1571,
	1604, 1573, 34, 39, 94, 124, 126, 10629, 10630, 12539, 12453, 12515, 162, 163, 172,
	166, 165, 8361, 9474, 8592, 8593, 8594, 8595, 9632, 9675, 66600, 66601, 66602, 66603,
	66604, 66605, 66606, 66607, 66608, 66609, 66610, 66611, 66612, 66613, 66614, 66615,
	66616, 66617, 66618, 66619, 66620, 66621, 66622, 66623, 66624, 66625, 66626, 66627,
	66628, 66629, 66630, 66631, 66632, 66633, 66634, 66635, 66636, 66637, 66638, 66639,
	66776, 66777, 66778, 66779, 66780, 66781, 66782, 66783, 66784, 66785, 66786, 66787,
	66788, 66789, 66790, 66791, 66792, 66793, 66794, 66795, 66796, 66797, 66798, 66799,
	66800, 66801, 66802, 66803, 66804, 66805, 66806, 66807, 66808, 66809, 66810, 66811,
	66967, 66968, 66969, 66970, 66971, 66972, 66973, 66974, 66975, 66976, 66977, 66979,
	66980, 66981, 66982, 66983, 66984, 66985, 66986, 66987, 66988, 66989, 66990, 66991,
	66992, 66993, 66995, 66996, 66997, 66998, 66999, 67000, 67001, 67003, 67004, 720,
	721, 665, 675, 43878, 677, 676, 7569, 600, 606, 681, 612, 610, 667, 668, 615, 644,
	682, 683, 122628, 42894, 622, 122629, 654, 122630, 630, 631, 634, 122632, 638, 680,
	678, 43879, 679, 11377, 655, 673, 674, 664, 448, 449, 450, 122634, 122654, 68800,
	68801, 68802, 68803, 68804, 68805, 68806, 68807, 68808, 68809, 68810, 68811, 68812,
	68813, 68814, 68815, 68816, 68817, 68818, 68819, 68820, 68821, 68822, 68823, 68824,
	68825, 68826, 68827, 68828, 68829, 68830, 68831, 68832, 68833, 68834, 68835, 68836,
	68837, 68838, 68839, 68840, 68841, 68842, 68843, 68844, 68845, 68846, 68847, 68848,
	68849, 68850, 71872, 71873, 71874, 71875, 71876, 71877, 71878, 71879, 71880, 71881,
	71882, 71883, 71884, 71885, 71886, 71887, 71888, 71889, 71890, 71891, 71892, 71893,
	71894, 71895, 71896, 71897, 71898, 71899, 71900, 71901, 71902, 71903, 93792, 93793,
	93794, 93795, 93796, 93797, 93798, 93799, 93800, 93801, 93802, 93803, 93804, 93805,
	93806, 93807, 93808, 93809, 93810, 93811, 93812, 93813, 93814, 93815, 93816, 93817,
	93818, 93819, 93820, 93821, 93822, 93823, 119127, 119141, 119128, 119141, 119128,
	119141, 119150, 119128, 119141, 119151, 119128, 119141, 119152, 119128, 119141,
	119153, 119128, 119141, 119154, 119225, 119141, 119226, 119141, 119225, 119141,
	119150, 119226, 119141, 119150, 119225, 119141, 119151, 119226, 119141, 119151,
	305, 567, 8711, 8706, 1231, 125218, 125219, 125220, 125221, 125222, 125223, 125224,
	125225, 125226, 125227, 125228, 125229, 125230, 125231, 125232, 125233, 125234,
	125235, 125236, 125237, 125238, 125239, 125240, 125241, 125242, 125243, 125244,
	125245, 125246, 125247, 125248, 125249, 125250, 125251, 1646, 1697, 1647, 48, 44,
	49, 44, 50, 44, 51, 44, 52, 44, 53, 44, 54, 44, 55, 44, 56, 44, 57, 44, 12308, 115,
	12309, 119, 122, 104, 118, 115, 100, 112, 112, 118, 119, 99, 109, 114, 100, 106,
	12411, 12363, 12467, 12467, 23383, 21452, 22810, 35299, 20132, 26144, 28961, 21069,
	24460, 20877, 26032, 21021, 32066, 36009, 22768, 21561, 28436, 25237, 25429, 36938,
	25351, 25171, 31105, 31354, 21512, 28288, 30003, 21106, 21942, 37197, 12308, 26412,
	12309, 12308, 19977, 12309, 12308, 20108, 12309, 12308, 23433, 12309, 12308, 28857,
	12309, 12308, 25171, 12309, 12308, 30423, 12309, 12308, 21213, 12309, 12308, 25943,
	12309, 24471, 21487, 20029, 20024, 20033, 131362, 20320, 20411, 20482, 20602, 20633,
	20687, 13470, 132666, 20820, 20836, 20855, 132380, 13497, 20839, 132427, 20887,
	20900, 20172, 20908, 168415, 20995, 13535, 21051, 21062, 21111, 13589, 21253, 21254,
	21321, 21338, 21363, 21373, 21375, 133676, 28784, 21450, 21471, 133987, 21483, 21489,
	21510, 21662, 21560, 21576, 21608, 21666, 21750, 21776, 21843, 21859, 21892, 21931,
	21939, 21954, 22294, 22295, 22097, 22132, 22766, 22478, 22516, 22541, 22411, 22578,
	22577, 22700, 136420, 22770, 22775, 22790, 22818, 22882, 136872, 136938, 23020,
	23067, 23079, 23000, 23142, 14062, 23304, 23358, 137672, 23491, 23512, 23539, 138008,
	23551, 23558, 14209, 23648, 23744, 23693, 138724, 23875, 138726, 23918, 23915, 23932,
	24033, 24034, 14383, 24061, 24104, 24125, 24169, 14434, 139651, 14460, 24240, 24243,
	24246, 172946, 140081, 33281, 24354, 14535, 144056, 156122, 24418, 24427, 14563,
	24474, 24525, 24535, 24569, 24705, 14650, 14620, 141012, 24775, 24904, 24908, 24954,
	25010, 24996, 25007, 25054, 25115, 25181, 25265, 25300, 25424, 142092, 25405, 25340,
	25448, 25475, 25572, 142321, 25634, 25541, 25513, 14894, 25705, 25726, 25757, 25719,
	14956, 25964, 143370, 26083, 26360, 26185, 15129, 15112, 15076, 20882, 20885, 26368,
	26268, 32941, 17369, 26401, 26462, 26451, 144323, 15177, 26618, 26501, 26706, 144493,
	26766, 26655, 26900, 26946, 27043, 27114, 27304, 145059, 27355, 15384, 27425, 145575,
	27476, 15438, 27506, 27551, 27579, 146061, 138507, 146170, 27726, 146620, 27839,
	27853, 27751, 27926, 27966, 28009, 28024, 28037, 146718, 27956, 28207, 28270, 15667,
	28359, 147153, 28153, 28526, 147294, 147342, 28614, 28729, 28699, 15766, 28746,
	28797, 28791, 28845, 132389, 28997, 148067, 29084, 29224, 29264, 149000, 29312,
	29333, 149301, 149524, 29562, 29579, 16044, 29605, 16056, 29767, 29788, 29829, 29898,
	16155, 29988, 150582, 30014, 150674, 139679, 30224, 151457, 151480, 151620, 16380,
	16392, 151795, 151794, 151833, 151859, 30494, 30495, 30603, 16454, 16534, 152605,
	30798, 16611, 153126, 153242, 153285, 31211, 16687, 31306, 31311, 153980, 154279,
	16898, 154539, 31686, 31689, 16935, 154752, 31954, 17056, 31976, 31971, 32000, 155526,
	32099, 17153, 32199, 32258, 32325, 17204, 156200, 156231, 17241, 156377, 32634,
	156478, 32661, 32762, 156890, 156963, 32864, 157096, 32880, 144223, 17365, 32946,
	33027, 17419, 33086, 23221, 157607, 157621, 144275, 144284, 33284, 36766, 17515,
	33425, 33419, 33437, 21171, 33457, 33459, 33469, 33510, 158524, 33565, 33635, 33709,
	33571, 33725, 33767, 33619, 33738, 33740, 33756, 158774, 159083, 158933, 17707,
	34033, 34035, 34070, 160714, 34148, 159532, 17757, 17761, 159665, 159954, 17771,
	34384, 34407, 34409, 34473, 34440, 34574, 34530, 34600, 34667, 34694, 34785, 34817,
	17913, 34912, 161383, 35031, 35038, 17973, 35066, 13499, 161966, 162150, 18110,
	18119, 35488, 162984, 36011, 36033, 36123, 36215, 163631, 133124, 36299, 36284,
	36336, 133342, 36564, 165330, 165357, 37012, 37105, 37137, 165678, 37147, 37432,
	37591, 37592, 37500, 37881, 37909, 166906, 38283, 18837, 38327, 167287, 18918, 38595,
	23986, 38691, 168261, 168474, 19054, 19062, 38880, 168970, 19122, 169110, 38953,
	169398, 39138, 19251, 39209, 39335, 39362, 39422, 19406, 170800, 40000, 40189, 19662,
	19693, 40295, 172238, 19704, 172293, 172558, 172689, 19798, 40702, 40709, 40719,
	40726, 173568,

};
const uint32_t table[8000][2] =
{
	{0, 1}, {65, 16777219}, {66, 16777475}, {67, 16777731},
	{68, 16777987}, {69, 16778243}, {70, 16778499}, {71, 16778755},
	{72, 16779011}, {73, 16779267}, {74, 16779523}, {75, 16779779},
	{76, 16780035}, {77, 16780291}, {78, 16780547}, {79, 16780803},
	{80, 16781059}, {81, 16781315}, {82, 16781571}, {83, 16781827},
	{84, 16782083}, {85, 16782339}, {86, 16782595}, {87, 16782851},
	{88, 16783107}, {89, 16783363}, {90, 16783619}, {91, 1},
	{128, 2}, {160, 16783875}, {161, 1}, {168, 33561347},
	{169, 1}, {170, 16777219}, {171, 1}, {173, 0},
	{174, 1}, {175, 33561859}, {176, 1}, {178, 16785155},
	{179, 16785411}, {180, 33562883}, {181, 16786179}, {182, 1},
	{184, 33563651}, {185, 16786947}, {186, 16780803}, {187, 1},
	{188, 50341635}, {189, 50342403}, {190, 50343171}, {191, 1},
	{192, 16789507}, {193, 16789763}, {194, 16790019}, {195, 16790275},
	{196, 16790531}, {197, 16790787}, {198, 16791043}, {199, 16791299},
	{200, 16791555}, {201, 16791811}, {202, 16792067}, {203, 16792323},
	{204, 16792579}, {205, 16792835}, {206, 16793091}, {207, 16793347},
	{208, 16793603}, {209, 16793859}, {210, 16794115}, {211, 16794371},
	{212, 16794627}, {213, 16794883}, {214, 16795139}, {215, 1},
	{216, 16795395}, {217, 16795651}, {218, 16795907}, {219, 16796163},
	{220, 16796419}, {221, 16796675}, {222, 16796931}, {223, 1},
	{256, 16797187}, {257, 1}, {258, 16797443}, {259, 1},
	{260, 16797699}, {261, 1}, {262, 16797955}, {263, 1},
	{264, 16798211}, {265, 1}, {266, 16798467}, {267, 1},
	{268, 16798723}, {269, 1}, {270, 16798979}, {271, 1},
	{272, 16799235}, {273, 1}, {274, 16799491}, {275, 1},
	{276, 16799747}, {277, 1}, {278, 16800003}, {279, 1},
	{280, 16800259}, {281, 1}, {282, 16800515}, {283, 1},
	{284, 16800771}, {285, 1}, {286, 16801027}, {287, 1},
	{288, 16801283}, {289, 1}, {290, 16801539}, {291, 1},
	{292, 16801795}, {293, 1}, {294, 16802051}, {295, 1},
	{296, 16802307}, {297, 1}, {298, 16802563}, {299, 1},
	{300, 16802819}, {301, 1}, {302, 16803075}, {303, 1},
	{304, 33580547}, {305, 1}, {306, 33556483}, {308, 16803843},
	{309, 1}, {310, 16804099}, {311, 1}, {313, 16804355},
	{314, 1}, {315, 16804611}, {316, 1}, {317, 16804867},
	{318, 1}, {319, 33582339}, {321, 16805635}, {322, 1},
	{323, 16805891}, {324, 1}, {325, 16806147}, {326, 1},
	{327, 16806403}, {328, 1}, {329, 33583875}, {330, 16807171},
	{331, 1}, {332, 16807427}, {333, 1}, {334, 16807683},
	{335, 1}, {336, 16807939}, {337, 1}, {338, 16808195},
	{339, 1}, {340, 16808451}, {341, 1}, {342, 16808707},
	{343, 1}, {344, 16808963}, {345, 1}, {346, 16809219},
	{347, 1}, {348, 16809475}, {349, 1}, {350, 16809731},
	{351, 1}, {352, 16809987}, {353, 1}, {354, 16810243},
	{355, 1}, {356, 16810499}, {357, 1}, {358, 16810755},
	{359, 1}, {360, 16811011}, {361, 1}, {362, 16811267},
	{363, 1}, {364, 16811523}, {365, 1}, {366, 16811779},
	{367, 1}, {368, 16812035}, {369, 1}, {370, 16812291},
	{371, 1}, {372, 16812547}, {373, 1}, {374, 16812803},
	{375, 1}, {376, 16813059}, {377, 16813315}, {378, 1},
	{379, 16813571}, {380, 1}, {381, 16813827}, {382, 1},
	{383, 16781827}, {384, 1}, {385, 16814083}, {386, 16814339},
	{387, 1}, {388, 16814595}, {389, 1}, {390, 16814851},
	{391, 16815107}, {392, 1}, {393, 16815363}, {394, 16815619},
	{395, 16815875}, {396, 1}, {398, 16816131}, {399, 16816387},
	{400, 16816643}, {401, 16816899}, {402, 1}, {403, 16817155},
	{404, 16817411}, {405, 1}, {406, 16817667}, {407, 16817923},
	{408, 16818179}, {409, 1}, {412, 16818435}, {413, 16818691},
	{414, 1}, {415, 16818947}, {416, 16819203}, {417, 1},
	{418, 16819459}, {419, 1}, {420, 16819715}, {421, 1},
	{422, 16819971}, {423, 16820227}, {424, 1}, {425, 16820483},
	{426, 1}, {428, 16820739}, {429, 1}, {430, 16820995},
	{431, 16821251}, {432, 1}, {433, 16821507}, {434, 16821763},
	{435, 16822019}, {436, 1}, {437, 16822275}, {438, 1},
	{439, 16822531}, {440, 16822787}, {441, 1}, {444, 16823043},
	{445, 1}, {452, 33600515}, {455, 33601027}, {458, 33601539},
	{461, 16824835}, {462, 1}, {463, 16825091}, {464, 1},
	{465, 16825347}, {466, 1}, {467, 16825603}, {468, 1},
	{469, 16825859}, {470, 1}, {471, 16826115}, {472, 1},
	{473, 16826371}, {474, 1}, {475, 16826627}, {476, 1},
	{478, 16826883}, {479, 1}, {480, 16827139}, {481, 1},
	{482, 16827395}, {483, 1}, {484, 16827651}, {485, 1},
	{486, 16827907}, {487, 1}, {488, 16828163}, {489, 1},
	{490, 16828419}, {491, 1}, {492, 16828675}, {493, 1},
	{494, 16828931}, {495, 1}, {497, 33606403}, {500, 16829699},
	{501, 1}, {502, 16829955}, {503, 16830211}, {504, 16830467},
	{505, 1}, {506, 16830723}, {507, 1}, {508, 16830979},
	{509, 1}, {510, 16831235}, {511, 1}, {512, 16831491},
	{513, 1}, {514, 16831747}, {515, 1}, {516, 16832003},
	{517, 1}, {518, 16832259}, {519, 1}, {520, 16832515},
	{521, 1}, {522, 16832771}, {523, 1}, {524, 16833027},
	{525, 1}, {526, 16833283}, {527, 1}, {528, 16833539},
	{529, 1}, {530, 16833795}, {531, 1}, {532, 16834051},
	{533, 1}, {534, 16834307}, {535, 1}, {536, 16834563},
	{537, 1}, {538, 16834819}, {539, 1}, {540, 16835075},
	{541, 1}, {542, 16835331}, {543, 1}, {544, 16835587},
	{545, 1}, {546, 16835843}, {547, 1}, {548, 16836099},
	{549, 1}, {550, 16836355}, {551, 1}, {552, 16836611},
	{553, 1}, {554, 16836867}, {555, 1}, {556, 16837123},
	{557, 1}, {558, 16837379}, {559, 1}, {560, 16837635},
	{561, 1}, {562, 16837891}, {563, 1}, {570, 16838147},
	{571, 16838403}, {572, 1}, {573, 16838659}, {574, 16838915},
	{575, 1}, {577, 16839171}, {578, 1}, {579, 16839427},
	{580, 16839683}, {581, 16839939}, {582, 16840195}, {583, 1},
	{584, 16840451}, {585, 1}, {586, 16840707}, {587, 1},
	{588, 16840963}, {589, 1}, {590, 16841219}, {591, 1},
	{688, 16779011}, {689, 16841475}, {690, 16779523}, {691, 16781571},
	{692, 16841731}, {693, 16841987}, {694, 16842243}, {695, 16782851},
	{696, 16783363}, {697, 1}, {728, 33619715}, {729, 33620227},
	{730, 33620739}, {731, 33621251}, {732, 33621763}, {733, 33622275},
	{734, 1}, {736, 16817411}, {737, 16780035}, {738, 16781827},
	{739, 16783107}, {740, 16845571}, {741, 1}, {832, 16845827},
	{833, 16785923}, {834, 1}, {835, 16846083}, {836, 33623555},
	{837, 16846851}, {838, 1}, {847, 0}, {848, 1},
	{880, 16847107}, {881, 1}, {882, 16847363}, {883, 1},
	{884, 16847619}, {885, 1}, {886, 16847875}, {887, 1},
	{888, 2}, {890, 33625347}, {891, 1}, {894, 16848643},
	{895, 16848899}, {896, 2}, {900, 33562883}, {901, 50403587},
	{902, 16849923}, {903, 16805379}, {904, 16850179}, {905, 16850435},
	{906, 16850691}, {907, 2}, {908, 16850947}, {909, 2},
	{910, 16851203}, {911, 16851459}, {912, 1}, {913, 16851715},
	{914, 16851971}, {915, 16852227}, {916, 16852483}, {917, 16852739},
	{918, 16852995}, {919, 16853251}, {920, 16853507}, {921, 16846851},
	{922, 16853763}, {923, 16854019}, {924, 16786179}, {925, 16854275},
	{926, 16854531}, {927, 16854787}, {928, 16855043}, {929, 16855299},
	{930, 2}, {931, 16855555}, {932, 16855811}, {933, 16856067},
	{934, 16856323}, {935, 16856579}, {936, 16856835}, {937, 16857091},
	{938, 16857347}, {939, 16857603}, {940, 1}, {975, 16857859},
	{976, 16851971}, {977, 16853507}, {978, 16856067}, {979, 16851203},
	{980, 16857603}, {981, 16856323}, {982, 16855043}, {983, 1},
	{984, 16858115}, {985, 1}, {986, 16858371}, {987, 1},
	{988, 16858627}, {989, 1}, {990, 16858883}, {991, 1},
	{992, 16859139}, {993, 1}, {994, 16859395}, {995, 1},
	{996, 16859651}, {997, 1}, {998, 16859907}, {999, 1},
	{1000, 16860163}, {1001, 1}, {1002, 16860419}, {1003, 1},
	{1004, 16860675}, {1005, 1}, {1006, 16860931}, {1007, 1},
	{1008, 16853763}, {1009, 16855299}, {1010, 16855555}, {1011, 1},
	{1012, 16853507}, {1013, 16852739}, {1014, 1}, {1015, 16861187},
	{1016, 1}, {1017, 16855555}, {1018, 16861443}, {1019, 1},
	{1021, 16861699}, {1022, 16861955}, {1023, 16862211}, {1024, 16862467},
	{1025, 16862723}, {1026, 16862979}, {1027, 16863235}, {1028, 16863491},
	{1029, 16863747}, {1030, 16864003}, {1031, 16864259}, {1032, 16864515},
	{1033, 16864771}, {1034, 16865027}, {1035, 16865283}, {1036, 16865539},
	{1037, 16865795}, {1038, 16866051}, {1039, 16866307}, {1040, 16866563},
	{1041, 16866819}, {1042, 16867075}, {1043, 16867331}, {1044, 16867587},
	{1045, 16867843}, {1046, 16868099}, {1047, 16868355}, {1048, 16868611},
	{1049, 16868867}, {1050, 16869123}, {1051, 16869379}, {1052, 16869635},
	{1053, 16869891}, {1054, 16870147}, {1055, 16870403}, {1056, 16870659},
	{1057, 16870915}, {1058, 16871171}, {1059, 16871427}, {1060, 16871683},
	{1061, 16871939}, {1062, 16872195}, {1063, 16872451}, {1064, 16872707},
	{1065, 16872963}, {1066, 16873219}, {1067, 16873475}, {1068, 16873731},
	{1069, 16873987}, {1070, 16874243}, {1071, 16874499}, {1072, 1},
	{1120, 16874755}, {1121, 1}, {1122, 16875011}, {1123, 1},
	{1124, 16875267}, {1125, 1}, {1126, 16875523}, {1127, 1},
	{1128, 16875779}, {1129, 1}, {1130, 16876035}, {1131, 1},
	{1132, 16876291}, {1133, 1}, {1134, 16876547}, {1135, 1},
	{1136, 16876803}, {1137, 1}, {1138, 16877059}, {1139, 1},
	{1140, 16877315}, {1141, 1}, {1142, 16877571}, {1143, 1},
	{1144, 16877827}, {1145, 1}, {1146, 16878083}, {1147, 1},
	{1148, 16878339}, {1149, 1}, {1150, 16878595}, {1151, 1},
	{1152, 16878851}, {1153, 1}, {1162, 16879107}, {1163, 1},
	{1164, 16879363}, {1165, 1}, {1166, 16879619}, {1167, 1},
	{1168, 16879875}, {1169, 1}, {1170, 16880131}, {1171, 1},
	{1172, 16880387}, {1173, 1}, {1174, 16880643}, {1175, 1},
	{1176, 16880899}, {1177, 1}, {1178, 16881155}, {1179, 1},
	{1180, 16881411}, {1181, 1}, {1182, 16881667}, {1183, 1},
	{1184, 16881923}, {1185, 1}, {1186, 16882179}, {1187, 1},
	{1188, 16882435}, {1189, 1}, {1190, 16882691}, {1191, 1},
	{1192, 16882947}, {1193, 1}, {1194, 16883203}, {1195, 1},
	{1196, 16883459}, {1197, 1}, {1198, 16883715}, {1199, 1},
	{1200, 16883971}, {1201, 1}, {1202, 16884227}, {1203, 1},
	{1204, 16884483}, {1205, 1}, {1206, 16884739}, {1207, 1},
	{1208, 16884995}, {1209, 1}, {1210, 16885251}, {1211, 1},
	{1212, 16885507}, {1213, 1}, {1214, 16885763}, {1215, 1},
	{1216, 2}, {1217, 16886019}, {1218, 1}, {1219, 16886275},
	{1220, 1}, {1221, 16886531}, {1222, 1}, {1223, 16886787},
	{1224, 1}, {1225, 16887043}, {1226, 1}, {1227, 16887299},
	{1228, 1}, {1229, 16887555}, {1230, 1}, {1232, 16887811},
	{1233, 1}, {1234, 16888067}, {1235, 1}, {1236, 16888323},
	{1237, 1}, {1238, 16888579}, {1239, 1}, {1240, 16888835},
	{1241, 1}, {1242, 16889091}, {1243, 1}, {1244, 16889347},
	{1245, 1}, {1246, 16889603}, {1247, 1}, {1248, 16889859},
	{1249, 1}, {1250, 16890115}, {1251, 1}, {1252, 16890371},
	{1253, 1}, {1254, 16890627}, {1255, 1}, {1256, 16890883},
	{1257, 1}, {1258, 16891139}, {1259, 1}, {1260, 16891395},
	{1261, 1}, {1262, 16891651}, {1263, 1}, {1264, 16891907},
	{1265, 1}, {1266, 16892163}, {1267, 1}, {1268, 16892419},
	{1269, 1}, {1270, 16892675}, {1271, 1}, {1272, 16892931},
	{1273, 1}, {1274, 16893187}, {1275, 1}, {1276, 16893443},
	{1277, 1}, {1278, 16893699}, {1279, 1}, {1280, 16893955},
	{1281, 1}, {1282, 16894211}, {1283, 1}, {1284, 16894467},
	{1285, 1}, {1286, 16894723}, {1287, 1}, {1288, 16894979},
	{1289, 1}, {1290, 16895235}, {1291, 1}, {1292, 16895491},
	{1293, 1}, {1294, 16895747}, {1295, 1}, {1296, 16896003},
	{1297, 1}, {1298, 16896259}, {1299, 1}, {1300, 16896515},
	{1301, 1}, {1302, 16896771}, {1303, 1}, {1304, 16897027},
	{1305, 1}, {1306, 16897283}, {1307, 1}, {1308, 16897539},
	{1309, 1}, {1310, 16897795}, {1311, 1}, {1312, 16898051},
	{1313, 1}, {1314, 16898307}, {1315, 1}, {1316, 16898563},
	{1317, 1}, {1318, 16898819}, {1319, 1}, {1320, 16899075},
	{1321, 1}, {1322, 16899331}, {1323, 1}, {1324, 16899587},
	{1325, 1}, {1326, 16899843}, {1327, 1}, {1328, 2},
	{1329, 16900099}, {1330, 16900355}, {1331, 16900611}, {1332, 16900867},
	{1333, 16901123}, {1334, 16901379}, {1335, 16901635}, {1336, 16901891},
	{1337, 16902147}, {1338, 16902403}, {1339, 16902659}, {1340, 16902915},
	{1341, 16903171}, {1342, 16903427}, {1343, 16903683}, {1344, 16903939},
	{1345, 16904195}, {1346, 16904451}, {1347, 16904707}, {1348, 16904963},
	{1349, 16905219}, {1350, 16905475}, {1351, 16905731}, {1352, 16905987},
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	{127281, 16777475}, {127282, 16777731}, {127283, 16777987}, {127284, 16778243},
	{127285, 16778499}, {127286, 16778755}, {127287, 16779011}, {127288, 16779267},
	{127289, 16779523}, {127290, 16779779}, {127291, 16780035}, {127292, 16780291},
	{127293, 16780547}, {127294, 16780803}, {127295, 16781059}, {127296, 16781315},
	{127297, 16781571}, {127298, 16781827}, {127299, 16782083}, {127300, 16782339},
	{127301, 16782595}, {127302, 16782851}, {127303, 16783107}, {127304, 16783363},
	{127305, 16783619}, {127306, 34739203}, {127307, 34226691}, {127308, 34739715},
	{127309, 33752579}, {127310, 51517443}, {127311, 34740995}, {127312, 1},
	{127338, 34209539}, {127339, 34189571}, {127340, 34741507}, {127341, 1},
	{127376, 34742019}, {127377, 1}, {127406, 2}, {127462, 1},
	{127488, 34742531}, {127489, 34743043}, {127490, 17307907}, {127491, 2},
	{127504, 17157891}, {127505, 17966339}, {127506, 17966595}, {127507, 17351683},
	{127508, 17143299}, {127509, 17966851}, {127510, 17967107}, {127511, 17225475},
	{127512, 17967363}, {127513, 17967619}, {127514, 17967875}, {127515, 17584643},
	{127516, 17968131}, {127517, 17968387}, {127518, 17968643}, {127519, 17968899},
	{127520, 17969155}, {127521, 17969411}, {127522, 17167107}, {127523, 17969667},
	{127524, 17969923}, {127525, 17970179}, {127526, 17970435}, {127527, 17970691},
	{127528, 17970947}, {127529, 17141763}, {127530, 17223427}, {127531, 17971203},
	{127532, 17288707}, {127533, 17224195}, {127534, 17288963}, {127535, 17971459},
	{127536, 17181443}, {127537, 17971715}, {127538, 17971971}, {127539, 17972227},
	{127540, 17972483}, {127541, 17972739}, {127542, 17264387}, {127543, 17160451},
	{127544, 17972995}, {127545, 17973251}, {127546, 17973507}, {127547, 17973763},
	{127548, 2}, {127552, 51528451}, {127553, 51529219}, {127554, 51529987},
	{127555, 51530755}, {127556, 51531523}, {127557, 51532291}, {127558, 51533059},
	{127559, 51533827}, {127560, 51534595}, {127561, 2}, {127568, 17980931},
	{127569, 17981187}, {127570, 2}, {127584, 1}, {127590, 2},
	{127744, 1}, {128728, 2}, {128732, 1}, {128749, 2},
	{128752, 1}, {128765, 2}, {128768, 1}, {128887, 2},
	{128891, 1}, {128986, 2}, {128992, 1}, {129004, 2},
	{129008, 1}, {129009, 2}, {129024, 1}, {129036, 2},
	{129040, 1}, {129096, 2}, {129104, 1}, {129114, 2},
	{129120, 1}, {129160, 2}, {129168, 1}, {129198, 2},
	{129200, 1}, {129202, 2}, {129280, 1}, {129620, 2},
	{129632, 1}, {129646, 2}, {129648, 1}, {129661, 2},
	{129664, 1}, {129673, 2}, {129680, 1}, {129726, 2},
	{129727, 1}, {129734, 2}, {129742, 1}, {129756, 2},
	{129760, 1}, {129769, 2}, {129776, 1}, {129785, 2},
	{129792, 1}, {129939, 2}, {129940, 1}, {129995, 2},
	{130032, 17035523}, {130033, 16786947}, {130034, 16785155}, {130035, 16785411},
	{130036, 16787715}, {130037, 17035779}, {130038, 17036035}, {130039, 17036291},
	{130040, 17036547}, {130041, 17036803}, {130042, 2}, {131072, 1},
	{173792, 2}, {173824, 1}, {177978, 2}, {177984, 1},
	{178206, 2}, {178208, 1}, {183970, 2}, {183984, 1},
	{191457, 2}, {194560, 17981443}, {194561, 17981699}, {194562, 17981955},
	{194563, 17982211}, {194564, 17982467}, {194565, 17608451}, {194566, 17982723},
	{194567, 17982979}, {194568, 17983235}, {194569, 17983491}, {194570, 17608707},
	{194571, 17983747}, {194572, 17984003}, {194573, 17984259}, {194574, 17608963},
	{194575, 17984515}, {194576, 17984771}, {194577, 17985027}, {194578, 17985283},
	{194579, 17985539}, {194580, 17985795}, {194581, 17968643}, {194582, 17986051},
	{194583, 17986307}, {194584, 17986563}, {194585, 17986819}, {194586, 17987075},
	{194587, 17623043}, {194588, 17987331}, {194589, 17145859}, {194590, 17987587},
	{194591, 17987843}, {194592, 17988099}, {194593, 17988355}, {194594, 17973251},
	{194595, 17988611}, {194596, 17988867}, {194597, 17624323}, {194598, 17609219},
	{194599, 17609475}, {194600, 17624579}, {194601, 17989123}, {194602, 17989379},
	{194603, 17562883}, {194604, 17989635}, {194605, 17609731}, {194606, 17989891},
	{194607, 17990147}, {194608, 17990403}, {194609, 17990659}, {194612, 17990915},
	{194613, 17991171}, {194614, 17991427}, {194615, 17991683}, {194616, 17991939},
	{194617, 17992195}, {194618, 17992451}, {194619, 17992707}, {194620, 17992963},
	{194621, 17993219}, {194622, 17993475}, {194623, 17993731}, {194624, 17993987},
	{194625, 17994243}, {194626, 17994499}, {194627, 17994755}, {194628, 17995011},
	{194629, 17995267}, {194631, 17625091}, {194632, 17995523}, {194633, 17995779},
	{194634, 17996035}, {194635, 17996291}, {194636, 17610243}, {194637, 17996547},
	{194638, 17996803}, {194639, 17997059}, {194640, 17600003}, {194641, 17997315},
	{194642, 17997571}, {194643, 17997827}, {194644, 17998083}, {194645, 17998339},
	{194646, 17998595}, {194647, 17998851}, {194648, 17999107}, {194649, 17999363},
	{194650, 17999619}, {194651, 17999875}, {194652, 18000131}, {194653, 17966851},
	{194654, 18000387}, {194655, 18000643}, {194656, 18000899}, {194657, 18001155},
	{194658, 18001411}, {194659, 18001667}, {194660, 18001923}, {194661, 18002179},
	{194662, 18002435}, {194663, 18002691}, {194664, 2}, {194665, 18002947},
	{194666, 18003203}, {194668, 18003459}, {194669, 18003715}, {194670, 18003971},
	{194671, 17561859}, {194672, 18004227}, {194673, 18004483}, {194674, 18004739},
	{194675, 18004995}, {194676, 2}, {194677, 17152515}, {194678, 18005251},
	{194679, 18005507}, {194680, 17153027}, {194681, 18005763}, {194682, 18006019},
	{194683, 18006275}, {194684, 18006531}, {194685, 18006787}, {194686, 18007043},
	{194687, 18007299}, {194688, 18007555}, {194689, 18007811}, {194690, 18008067},
	{194691, 18008323}, {194692, 18008579}, {194693, 18008835}, {194694, 18009091},
	{194695, 18009347}, {194696, 18009603}, {194697, 18009859}, {194698, 18010115},
	{194699, 18010371}, {194700, 18010627}, {194701, 18010883}, {194702, 17548547},
	{194703, 18011139}, {194704, 17155587}, {194705, 18011395}, {194707, 18011651},
	{194708, 18011907}, {194710, 18012163}, {194711, 18012419}, {194712, 18012675},
	{194713, 18012931}, {194714, 18013187}, {194715, 18013443}, {194716, 18013699},
	{194717, 18013955}, {194718, 18014211}, {194719, 18014467}, {194720, 18014723},
	{194721, 18014979}, {194722, 18015235}, {194723, 17611523}, {194724, 18015491},
	{194725, 18015747}, {194726, 18016003}, {194727, 18016259}, {194728, 17628163},
	{194729, 18016259}, {194730, 18016515}, {194731, 17612035}, {194732, 18016771},
	{194733, 18017027}, {194734, 18017283}, {194735, 18017539}, {194736, 17612291},
	{194737, 17541635}, {194738, 17414915}, {194739, 18017795}, {194740, 18018051},
	{194741, 18018307}, {194742, 18018563}, {194743, 18018819}, {194744, 18019075},
	{194745, 18019331}, {194746, 18019587}, {194747, 18019843}, {194748, 18020099},
	{194749, 18020355}, {194750, 18020611}, {194751, 18020867}, {194752, 18021123},
	{194753, 18021379}, {194754, 18021635}, {194755, 18021891}, {194756, 18022147},
	{194757, 18022403}, {194758, 18022659}, {194759, 18022915}, {194760, 17612547},
	{194761, 18023171}, {194762, 18023427}, {194763, 18023683}, {194764, 18023939},
	{194765, 18024195}, {194766, 18024451}, {194767, 17613059}, {194768, 18024707},
	{194769, 18024963}, {194770, 18025219}, {194771, 18025475}, {194772, 18025731},
	{194773, 18025987}, {194774, 18026243}, {194775, 18026499}, {194776, 17548803},
	{194777, 17630211}, {194778, 18026755}, {194779, 18027011}, {194780, 18027267},
	{194781, 18027523}, {194782, 18027779}, {194783, 18028035}, {194784, 18028291},
	{194785, 18028547}, {194786, 17613315}, {194787, 18028803}, {194788, 18029059},
	{194789, 18029315}, {194790, 18029571}, {194791, 17640963}, {194792, 18029827},
	{194793, 18030083}, {194794, 18030339}, {194795, 18030595}, {194796, 18030851},
	{194797, 18031107}, {194798, 18031363}, {194799, 18031619}, {194800, 18031875},
	{194801, 18032131}, {194802, 18032387}, {194803, 18032643}, {194804, 18032899},
	{194805, 17566211}, {194806, 18033155}, {194807, 18033411}, {194808, 18033667},
	{194809, 18033923}, {194810, 18034179}, {194811, 18034435}, {194812, 18034691},
	{194813, 18034947}, {194814, 18035203}, {194815, 18035459}, {194816, 18035715},
	{194817, 17613571}, {194818, 17587203}, {194819, 18035971}, {194820, 18036227},
	{194821, 18036483}, {194822, 18036739}, {194823, 18036995}, {194824, 18037251},
	{194825, 18037507}, {194826, 18037763}, {194827, 17630979}, {194828, 18038019},
	{194829, 18038275}, {194830, 18038531}, {194831, 18038787}, {194832, 18039043},
	{194833, 18039299}, {194834, 18039555}, {194835, 18039811}, {194836, 17631235},
	{194837, 18040067}, {194838, 18040323}, {194839, 18040579}, {194840, 18040835},
	{194841, 18041091}, {194842, 18041347}, {194843, 18041603}, {194844, 18041859},
	{194845, 18042115}, {194846, 18042371}, {194847, 2}, {194848, 18042627},
	{194849, 17631747}, {194850, 18042883}, {194851, 18043139}, {194852, 18043395},
	{194853, 18043651}, {194854, 18043907}, {194855, 18044163}, {194856, 18044419},
	{194857, 18044675}, {194858, 18044931}, {194859, 18045187}, {194860, 18045443},
	{194862, 18045699}, {194863, 18045955}, {194864, 17632259}, {194865, 18046211},
	{194866, 18046467}, {194867, 18046723}, {194868, 18046979}, {194869, 18047235},
	{194870, 18047491}, {194871, 18047747}, {194872, 17562627}, {194873, 18048003},
	{194874, 18048259}, {194875, 18048515}, {194876, 18048771}, {194877, 18049027},
	{194878, 18049283}, {194879, 18049539}, {194880, 17633795}, {194881, 18049795},
	{194882, 18050051}, {194883, 18050307}, {194884, 18050563}, {194885, 18050819},
	{194886, 18051075}, {194888, 17634051}, {194889, 17641475}, {194890, 18051331},
	{194891, 18051587}, {194892, 18051843}, {194893, 18052099}, {194894, 18052355},
	{194895, 17553155}, {194896, 17634563}, {194897, 18052611}, {194898, 18052867},
	{194899, 17616131}, {194900, 18053123}, {194901, 18053379}, {194902, 17605123},
	{194903, 18053635}, {194904, 18053891}, {194905, 17616899}, {194906, 18054147},
	{194907, 18054403}, {194908, 18054659}, {194909, 18054915}, {194911, 2},
	{194912, 18055171}, {194913, 18055427}, {194914, 18055683}, {194915, 18055939},
	{194916, 18056195}, {194917, 18056451}, {194918, 18056707}, {194919, 18056963},
	{194920, 18057219}, {194921, 18057475}, {194922, 18057731}, {194923, 18057987},
	{194924, 18058243}, {194925, 18058499}, {194926, 18058755}, {194927, 18059011},
	{194928, 18059267}, {194929, 18059523}, {194930, 18059779}, {194931, 18060035},
	{194932, 18060291}, {194933, 18060547}, {194934, 18060803}, {194935, 18061059},
	{194936, 18061315}, {194937, 18061571}, {194938, 17618435}, {194939, 18061827},
	{194940, 18062083}, {194941, 18062339}, {194942, 18062595}, {194943, 18062851},
	{194944, 18063107}, {194945, 18063363}, {194946, 18063619}, {194947, 18063875},
	{194948, 18064131}, {194949, 18064387}, {194950, 18064643}, {194951, 18064899},
	{194952, 18065155}, {194953, 18065411}, {194954, 18065667}, {194955, 18011651},
	{194956, 18065923}, {194957, 18066179}, {194958, 18066435}, {194959, 18066691},
	{194960, 18066947}, {194961, 18067203}, {194962, 18067459}, {194963, 18067715},
	{194964, 18067971}, {194965, 18068227}, {194966, 18068483}, {194967, 18068739},
	{194968, 17566979}, {194969, 18068995}, {194970, 18069251}, {194971, 18069507},
	{194972, 18069763}, {194973, 18070019}, {194974, 18070275}, {194975, 17619203},
	{194976, 18070531}, {194977, 18070787}, {194978, 18071043}, {194979, 18071299},
	{194980, 18071555}, {194981, 18071811}, {194982, 18072067}, {194983, 18072323},
	{194984, 18072579}, {194985, 18072835}, {194986, 18073091}, {194987, 18073347},
	{194988, 18073603}, {194989, 18073859}, {194990, 18074115}, {194991, 18074371},
	{194992, 18074627}, {194993, 18074883}, {194994, 18075139}, {194995, 18075395},
	{194996, 17551875}, {194997, 18075651}, {194998, 18075907}, {194999, 18076163},
	{195000, 18076419}, {195001, 18076675}, {195002, 18076931}, {195003, 17636355},
	{195004, 18077187}, {195005, 18077443}, {195006, 18077699}, {195007, 2},
	{195008, 18077955}, {195009, 18078211}, {195010, 18078467}, {195011, 18078723},
	{195012, 17178627}, {195013, 18078979}, {195014, 18079235}, {195015, 18079491},
	{195016, 18079747}, {195017, 18080003}, {195018, 18080259}, {195019, 18080515},
	{195020, 18080771}, {195021, 18081027}, {195022, 18081283}, {195023, 18081539},
	{195024, 17637635}, {195025, 17637891}, {195026, 17180419}, {195027, 18081795},
	{195028, 18082051}, {195029, 18082307}, {195030, 18082563}, {195031, 18082819},
	{195032, 18083075}, {195033, 18083331}, {195034, 18083587}, {195035, 18083843},
	{195036, 18084099}, {195037, 18084355}, {195038, 18084611}, {195039, 17638147},
	{195040, 18084867}, {195041, 18085123}, {195042, 18085379}, {195043, 18085635},
	{195044, 18085891}, {195045, 18086147}, {195046, 18086403}, {195047, 18086659},
	{195048, 18086915}, {195049, 18087171}, {195050, 18087427}, {195051, 18087683},
	{195052, 18087939}, {195053, 18088195}, {195054, 18088451}, {195055, 18088707},
	{195056, 18088963}, {195057, 18089219}, {195058, 18089475}, {195059, 18089731},
	{195060, 18089987}, {195061, 18090243}, {195062, 18090499}, {195063, 18090755},
	{195064, 18091011}, {195065, 18091267}, {195066, 18091523}, {195067, 18091779},
	{195068, 18092035}, {195069, 18092291}, {195070, 17639683}, {195072, 18092547},
	{195073, 18092803}, {195074, 18093059}, {195075, 18093315}, {195076, 18093571},
	{195077, 18093827}, {195078, 18094083}, {195079, 18094339}, {195080, 18094595},
	{195081, 18094851}, {195082, 17639939}, {195083, 18095107}, {195084, 18095363},
	{195085, 18095619}, {195086, 18095875}, {195087, 18096131}, {195088, 18096387},
	{195089, 18096643}, {195090, 18096899}, {195091, 18097155}, {195092, 18097411},
	{195093, 17192707}, {195094, 18097667}, {195095, 17193731}, {195096, 18097923},
	{195097, 18098179}, {195098, 18098435}, {195099, 18098691}, {195100, 17195011},
	{195101, 18098947}, {195102, 2}, {196608, 1}, {201547, 2},
	{201552, 1}, {205744, 2}, {917760, 0}, {918000, 2}
};


} // namespace ada::idna
#endif // ADA_IDNA_TABLES_H

/* end file src/mapping_tables.cpp */

namespace ada::idna {

// This can be greatly accelerated. For now we just use a simply
// binary search. In practice, you should *not* do that.
uint32_t find_range_index(uint32_t key) {
  ////////////////
  // This could be implemented with std::lower_bound, but we roll our own
  // because we want to allow further optimizations in the future.
  ////////////////
  uint32_t len = std::size(table);
  uint32_t low = 0;
  uint32_t high = len - 1;
  while (low <= high) {
    uint32_t middle_index = (low + high) >> 1;  // cannot overflow
    uint32_t middle_value = table[middle_index][0];
    if (middle_value < key) {
      low = middle_index + 1;
    } else if (middle_value > key) {
      high = middle_index - 1;
    } else {
      return middle_index;  // perfect match
    }
  }
  return low == 0 ? 0 : low - 1;
}

bool ascii_has_upper_case(char* input, size_t length) {
  auto broadcast = [](uint8_t v) -> uint64_t {
    return 0x101010101010101ull * v;
  };
  uint64_t broadcast_80 = broadcast(0x80);
  uint64_t broadcast_Ap = broadcast(128 - 'A');
  uint64_t broadcast_Zp = broadcast(128 - 'Z' - 1);
  size_t i = 0;

  uint64_t runner{0};

  for (; i + 7 < length; i += 8) {
    uint64_t word{};
    memcpy(&word, input + i, sizeof(word));
    runner |= (((word + broadcast_Ap) ^ (word + broadcast_Zp)) & broadcast_80);
  }
  if (i < length) {
    uint64_t word{};
    memcpy(&word, input + i, length - i);
    runner |= (((word + broadcast_Ap) ^ (word + broadcast_Zp)) & broadcast_80);
  }
  return runner != 0;
}

void ascii_map(char* input, size_t length) {
  auto broadcast = [](uint8_t v) -> uint64_t {
    return 0x101010101010101ull * v;
  };
  uint64_t broadcast_80 = broadcast(0x80);
  uint64_t broadcast_Ap = broadcast(128 - 'A');
  uint64_t broadcast_Zp = broadcast(128 - 'Z' - 1);
  size_t i = 0;

  for (; i + 7 < length; i += 8) {
    uint64_t word{};
    memcpy(&word, input + i, sizeof(word));
    word ^=
        (((word + broadcast_Ap) ^ (word + broadcast_Zp)) & broadcast_80) >> 2;
    memcpy(input + i, &word, sizeof(word));
  }
  if (i < length) {
    uint64_t word{};
    memcpy(&word, input + i, length - i);
    word ^=
        (((word + broadcast_Ap) ^ (word + broadcast_Zp)) & broadcast_80) >> 2;
    memcpy(input + i, &word, length - i);
  }
}

// Map the characters according to IDNA, returning the empty string on error.
std::u32string map(std::u32string_view input) {
  //  [Map](https://www.unicode.org/reports/tr46/#ProcessingStepMap).
  //  For each code point in the domain_name string, look up the status
  //  value in Section 5, [IDNA Mapping
  //  Table](https://www.unicode.org/reports/tr46/#IDNA_Mapping_Table),
  //  and take the following actions:
  //    * disallowed: Leave the code point unchanged in the string, and
  //    record that there was an error.
  //    * ignored: Remove the code point from the string. This is
  //    equivalent to mapping the code point to an empty string.
  //    * mapped: Replace the code point in the string by the value for
  //    the mapping in Section 5, [IDNA Mapping
  //    Table](https://www.unicode.org/reports/tr46/#IDNA_Mapping_Table).
  //    * valid: Leave the code point unchanged in the string.
  static std::u32string error = U"";
  std::u32string answer;
  answer.reserve(input.size());
  for (char32_t x : input) {
    size_t index = find_range_index(x);
    uint32_t descriptor = table[index][1];
    uint8_t code = uint8_t(descriptor);
    switch (code) {
      case 0:
        break;  // nothing to do, ignored
      case 1:
        answer.push_back(x);  // valid, we just copy it to output
        break;
      case 2:
        return error;  // disallowed
        break;

      // case 3 :
      default:
        // We have a mapping
        {
          size_t char_count = (descriptor >> 24);
          uint16_t char_index = uint16_t(descriptor >> 8);
          for (size_t idx = char_index; idx < char_index + char_count; idx++) {
            answer.push_back(mappings[idx]);
          }
        }
    }
  }
  return answer;
}
}  // namespace ada::idna
/* end file src/mapping.cpp */
/* begin file src/normalization.cpp */

/* begin file src/unilib/uninorms.h */
// This file is part of UniLib <http://github.com/ufal/unilib/>.
//
// Copyright 2014 Institute of Formal and Applied Linguistics, Faculty of
// Mathematics and Physics, Charles University in Prague, Czech Republic.
//
// This Source Code Form is subject to the terms of the Mozilla Public
// License, v. 2.0. If a copy of the MPL was not distributed with this
// file, You can obtain one at http://mozilla.org/MPL/2.0/.
//
// UniLib version: 3.3.1-dev
// Unicode version: 15.0.0


#include <cstdint>
#include <string>

namespace ufal {
namespace unilib {

class uninorms {
 public:
  static void nfc(std::u32string& str);
  static void nfd(std::u32string& str);
  static void nfkc(std::u32string& str);
  static void nfkd(std::u32string& str);

 private:
  static void compose(std::u32string& str);
  static void decompose(std::u32string& str, bool kanonical);

  static const char32_t CHARS = 0x110000;

  struct Hangul {
    // Hangul decomposition and composition
    static const char32_t SBase = 0xAC00, LBase = 0x1100, VBase = 0x1161,
                          TBase = 0x11A7;
    static const char32_t LCount = 19, VCount = 21, TCount = 28,
                          NCount = VCount * TCount, SCount = LCount * NCount;
  };

  static const uint8_t ccc_index[CHARS >> 8];
  static const uint8_t ccc_block[][256];

  static const uint8_t composition_index[CHARS >> 8];
  static const uint16_t composition_block[][257];
  static const char32_t composition_data[];

  static const uint8_t decomposition_index[CHARS >> 8];
  static const uint16_t decomposition_block[][257];
  static const char32_t decomposition_data[];
};

}  // namespace unilib
}  // namespace ufal
/* end file src/unilib/uninorms.h */
/* begin file src/unilib/uninorms.cpp */
// This file is part of UniLib <http://github.com/ufal/unilib/>.
//
// Copyright 2014 Institute of Formal and Applied Linguistics, Faculty of
// Mathematics and Physics, Charles University in Prague, Czech Republic.
//
// This Source Code Form is subject to the terms of the Mozilla Public
// License, v. 2.0. If a copy of the MPL was not distributed with this
// file, You can obtain one at http://mozilla.org/MPL/2.0/.
//
// UniLib version: 3.3.1-dev
// Unicode version: 15.0.0


namespace ufal {
namespace unilib {

void uninorms::nfc(std::u32string& str) {
  decompose(str, false);
  compose(str);
}

void uninorms::nfd(std::u32string& str) { decompose(str, false); }

void uninorms::nfkc(std::u32string& str) {
  decompose(str, true);
  compose(str);
}

void uninorms::nfkd(std::u32string& str) { decompose(str, true); }

void uninorms::compose(std::u32string& str) {
  size_t old, com;
  for (old = 0, com = 0; old < str.size(); old++, com++) {
    str[com] = str[old];
    if (str[old] >= Hangul::LBase &&
        str[old] < Hangul::LBase + Hangul::LCount) {
      // Check Hangul composition L + V [+ T].
      if (old + 1 < str.size() && str[old + 1] >= Hangul::VBase &&
          str[old + 1] < Hangul::VBase + Hangul::VCount) {
        str[com] =
            Hangul::SBase + ((str[old] - Hangul::LBase) * Hangul::VCount +
                             str[old + 1] - Hangul::VBase) *
                                Hangul::TCount;
        old++;
        if (old + 1 < str.size() && str[old + 1] > Hangul::TBase &&
            str[old + 1] < Hangul::TBase + Hangul::TCount)
          str[com] += str[++old] - Hangul::TBase;
      }
    } else if (str[old] >= Hangul::SBase &&
               str[old] < Hangul::SBase + Hangul::SCount) {
      // Check Hangul composition LV + T
      if ((str[old] - Hangul::SBase) % Hangul::TCount && old + 1 < str.size() &&
          str[old + 1] > Hangul::TBase &&
          str[old + 1] < Hangul::TBase + Hangul::TCount)
        str[com] += str[++old] - Hangul::TBase;
    } else if (str[old] < CHARS) {
      // Check composition_data
      auto composition =
          &composition_block[composition_index[str[old] >> 8]][str[old] & 0xFF];
      auto starter = com;
      for (int last_ccc = -1; old + 1 < str.size(); old++) {
        int ccc =
            str[old + 1] < CHARS
                ? ccc_block[ccc_index[str[old + 1] >> 8]][str[old + 1] & 0xFF]
                : 0;
        if (composition[1] - composition[0] && last_ccc < ccc) {
          // Try finding a composition.
          auto l = composition[0], r = composition[1];
          while (l + 2 < r) {
            auto m = l + (((r - l) >> 1) & ~1);
            if (composition_data[m] <= str[old + 1]) l = m;
            if (composition_data[m] >= str[old + 1]) r = m;
          }
          if (composition_data[l] == str[old + 1]) {
            // Found a composition.
            str[starter] = composition_data[l + 1];
            composition =
                &composition_block[composition_index[composition_data[l + 1] >>
                                                     8]]
                                  [composition_data[l + 1] & 0xFF];
            continue;
          }
        }

        if (!ccc) break;
        last_ccc = ccc;
        str[++com] = str[old + 1];
      }
    }
  }

  if (com < old) str.resize(com);
}

void uninorms::decompose(std::u32string& str, bool kompatibility) {
  // Count how much additional space do we need.
  bool any_decomposition = false;
  size_t additional = 0;
  for (auto&& chr : str) {
    int decomposition_len = 0;

    if (chr >= Hangul::SBase && chr < Hangul::SBase + Hangul::SCount) {
      // Hangul decomposition.
      decomposition_len = 2 + ((chr - Hangul::SBase) % Hangul::TCount ? 1 : 0);
    } else if (chr < CHARS) {
      // Check decomposition_data.
      auto decomposition =
          &decomposition_block[decomposition_index[chr >> 8]][chr & 0xFF];
      decomposition_len = (decomposition[1] >> 2) - (decomposition[0] >> 2);
      if (decomposition_len && !kompatibility && (decomposition[0] & 1))
        decomposition_len = 0;
      if (decomposition_len && kompatibility && (decomposition[0] & 2))
        // Further kompatibility decomposition.
        for (auto i = decomposition[0] >> 2; i < decomposition[1] >> 2; i++) {
          auto further_decomposition =
              &decomposition_block[decomposition_index[decomposition_data[i] >>
                                                       8]]
                                  [decomposition_data[i] & 0xFF];
          if (further_decomposition[0] & 1)
            decomposition_len += (further_decomposition[1] >> 2) -
                                 (further_decomposition[0] >> 2) - 1;
        }
    }
    // Do we decompose current character?
    if (!decomposition_len) continue;
    any_decomposition = true;
    additional += decomposition_len - 1;
  }

  // If needed, allocate enough space and perform the decomposition.
  if (any_decomposition) {
    str.resize(str.size() + additional);
    for (size_t dec = str.size(), old = dec - additional; old--;)
      if (str[old] >= Hangul::SBase &&
          str[old] < Hangul::SBase + Hangul::SCount) {
        // Hangul decomposition.
        char32_t s_index = str[old] - Hangul::SBase;
        if (s_index % Hangul::TCount)
          str[--dec] = Hangul::TBase + s_index % Hangul::TCount;
        str[--dec] =
            Hangul::VBase + (s_index % Hangul::NCount) / Hangul::TCount;
        str[--dec] = Hangul::LBase + s_index / Hangul::NCount;
      } else if (str[old] < CHARS) {
        // Check decomposition_data.
        auto decomposition =
            &decomposition_block[decomposition_index[str[old] >> 8]]
                                [str[old] & 0xFF];
        int decomposition_len =
            (decomposition[1] >> 2) - (decomposition[0] >> 2);
        if (decomposition_len && !kompatibility && (decomposition[0] & 1))
          decomposition_len = 0;
        if (decomposition_len && kompatibility && (decomposition[0] & 2)) {
          // Further kompatibility decomposition.
          while (decomposition_len--) {
            auto chr =
                decomposition_data[(decomposition[0] >> 2) + decomposition_len];
            auto further_decomposition =
                &decomposition_block[decomposition_index[chr >> 8]][chr & 0xFF];
            if (further_decomposition[0] & 1) {
              for (int further_decomposition_len =
                       (further_decomposition[1] >> 2) -
                       (further_decomposition[0] >> 2);
                   further_decomposition_len--;)
                str[--dec] =
                    decomposition_data[(further_decomposition[0] >> 2) +
                                       further_decomposition_len];
            } else {
              str[--dec] = chr;
            }
          }
        } else if (decomposition_len) {
          // Non-recursive decomposition.
          while (decomposition_len--)
            str[--dec] =
                decomposition_data[(decomposition[0] >> 2) + decomposition_len];
        } else {
          // No decomposition.
          str[--dec] = str[old];
        }
      } else {
        // Non-Unicode character.
        str[--dec] = str[old];
      }
  }

  // Sort combining marks.
  for (size_t i = 1; i < str.size(); i++) {
    unsigned ccc =
        str[i] < CHARS ? ccc_block[ccc_index[str[i] >> 8]][str[i] & 0xFF] : 0;
    if (!ccc) continue;

    auto chr = str[i];
    size_t j;
    for (j = i;
         j && (str[j - 1] < CHARS
                   ? ccc_block[ccc_index[str[j - 1] >> 8]][str[j - 1] & 0xFF]
                   : 0) > ccc;
         j--)
      str[j] = str[j - 1];
    str[j] = chr;
  }
}

// Data fields
const char32_t uninorms::CHARS;

const char32_t uninorms::Hangul::SBase;
const char32_t uninorms::Hangul::LBase;
const char32_t uninorms::Hangul::VBase;
const char32_t uninorms::Hangul::TBase;
const char32_t uninorms::Hangul::LCount;
const char32_t uninorms::Hangul::VCount;
const char32_t uninorms::Hangul::TCount;
const char32_t uninorms::Hangul::NCount;
const char32_t uninorms::Hangul::SCount;

const uint8_t uninorms::ccc_index[uninorms::CHARS >> 8] = {
    0,  0,  0,  1,  2,  3,  4,  5,  6,  7,  8,  9,  10, 11, 12, 13, 14, 0,  0,
    15, 0,  0,  0,  16, 17, 18, 19, 20, 21, 22, 0,  0,  23, 0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  24, 25, 0,  0,  26, 0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  27, 0,  28, 29, 30,
    31, 0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  32, 0,  0,  33, 0,  0,  34, 35, 36, 0,  0,  0,  0,  0,  0,
    37, 0,  0,  38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 0,  52,
    53, 0,  54, 0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  55, 56, 0,  0,  0,  57, 0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  58, 0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  59, 60, 0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  61, 56, 62, 0,  63, 0,  0,  0,  64, 65, 0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
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    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0};
const uint8_t uninorms::ccc_block[][256] = {
    {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
    {230, 230, 230, 230, 230, 230, 230, 230, 230, 230, 230, 230, 230, 230, 230,
     230, 230, 230, 230, 230, 230, 232, 220, 220, 220, 220, 232, 216, 220, 220,
     220, 220, 220, 202, 202, 220, 220, 220, 220, 202, 202, 220, 220, 220, 220,
     220, 220, 220, 220, 220, 220, 220, 1,   1,   1,   1,   1,   220, 220, 220,
     220, 230, 230, 230, 230, 230, 230, 230, 230, 240, 230, 220, 220, 220, 230,
     230, 230, 220, 220, 0,   230, 230, 230, 220, 220, 220, 220, 230, 232, 220,
     220, 230, 233, 234, 234, 233, 234, 234, 233, 230, 230, 230, 230, 230, 230,
     230, 230, 230, 230, 230, 230, 230, 0,   0,   0,   0,   0,   0,   0,   0,
     0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,
     0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,
     0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,
     0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,
     0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,
     0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,
     0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,
     0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,
     0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,
     0},
    {0,   0,   0,   0,   0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
     0,   0,   0,   0,   0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
     0,   0,   0,   0,   0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
     0,   0,   0,   0,   0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
     0,   0,   0,   0,   0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
     0,   0,   0,   0,   0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 230,
     230, 230, 230, 230, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
     0,   0,   0,   0,   0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
     0,   0,   0,   0,   0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
     0,   0,   0,   0,   0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
     0,   0,   0,   0,   0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
     0,   0,   0,   0,   0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
    {0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,
     0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,
     0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,
     0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,
     0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,
     0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,
     0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,
     0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,
     0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,
     0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   220, 230, 230, 230, 230,
     220, 230, 230, 230, 222, 220, 230, 230, 230, 230, 230, 230, 220, 220, 220,
     220, 220, 220, 230, 230, 220, 230, 230, 222, 228, 230, 10,  11,  12,  13,
     14,  15,  16,  17,  18,  19,  19,  20,  21,  22,  0,   23,  0,   24,  25,
     0,   230, 220, 0,   18,  0,   0,   0,   0,   0,   0,   0,   0,   0,   0,
     0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,
     0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,
     0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,
     0},
    {0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,
     0,   230, 230, 230, 230, 230, 230, 230, 230, 30,  31,  32,  0,   0,   0,
     0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,
     0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,
     0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,
     27,  28,  29,  30,  31,  32,  33,  34,  230, 230, 220, 220, 230, 230, 230,
     230, 230, 220, 230, 230, 220, 0,   0,   0,   0,   0,   0,   0,   0,   0,
     0,   0,   0,   0,   0,   0,   0,   35,  0,   0,   0,   0,   0,   0,   0,
     0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,
     0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,
     0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,
     0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,
     0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,
     0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,
     0,   0,   0,   0,   230, 230, 230, 230, 230, 230, 230, 0,   0,   230, 230,
     230, 230, 220, 230, 0,   0,   230, 230, 0,   220, 230, 230, 220, 0,   0,
     0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,
     0},
    {0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,
     0,   0,   36,  0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,
     0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,
     0,   0,   0,   230, 220, 230, 230, 220, 230, 230, 220, 220, 220, 230, 220,
     220, 230, 220, 230, 230, 230, 220, 230, 220, 230, 220, 230, 220, 230, 230,
     0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,
     0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,
     0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,
     0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,
     0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,
     0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,
     0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,
     0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,
     0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,
     0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,
     0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   230, 230, 230, 230, 230,
     230, 230, 220, 230, 0,   0,   0,   0,   0,   0,   0,   0,   0,   220, 0,
     0},
    {0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,
     0,   0,   0,   0,   0,   0,   0,   230, 230, 230, 230, 0,   230, 230, 230,
     230, 230, 230, 230, 230, 230, 0,   230, 230, 230, 0,   230, 230, 230, 230,
     230, 0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,
     0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,
     0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   220,
     220, 220, 0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,
     0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,
     0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,
     0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,
     0,   0,   230, 220, 220, 220, 230, 230, 230, 230, 0,   0,   0,   0,   0,
     0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,
     0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,
     0,   0,   0,   0,   0,   0,   0,   230, 230, 230, 230, 230, 220, 220, 220,
     220, 220, 230, 230, 230, 230, 230, 230, 230, 230, 230, 230, 230, 230, 230,
     230, 0,   220, 230, 230, 220, 230, 230, 220, 230, 230, 230, 220, 220, 220,
     27,  28,  29,  230, 230, 230, 220, 230, 230, 220, 220, 230, 230, 230, 230,
     230},
    {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,   0, 0, 0,   0,   0,   0,   0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,   0, 0, 0,   0,   0,   0,   0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,   0, 0, 0,   7,   0,   0,   0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0,   0, 0, 230, 220, 230, 230, 0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,   0, 0, 0,   0,   0,   0,   0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,   0, 0, 0,   0,   0,   0,   0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,   0, 0, 0,   0,   0,   0,   0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,   0, 0, 0,   0,   0,   0,   0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7,   0, 0, 0,   0,   0,   0,   0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0,   0, 0, 0,   0,   0,   0,   0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,   0, 0, 0,   0,   0,   0,   0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 230, 0},
    {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
     0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
    {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
     0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
    {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,  0,  0, 0, 0, 0, 0, 0, 0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,  0,  0, 0, 0, 0, 0, 0, 0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0,  0,  0, 0, 0, 0, 0, 0, 0, 0, 0,
     0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 0, 84, 91, 0, 0, 0, 0, 0, 0, 0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,  0,  0, 0, 0, 0, 0, 0, 0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,  0,  0, 0, 0, 0, 0, 0, 0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,  0,  0, 0, 0, 0, 0, 0, 0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,  0,  0, 0, 0, 0, 0, 7, 0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9,  0,  0, 0, 0, 0, 0, 0, 0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,  0,  0, 0, 0, 0, 0, 0, 0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,  0,  0},
    {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
     0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
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     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,   0,   0,   0,   0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,   0,   0,   0,   0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 232, 232, 220, 230, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
    {0, 0, 0, 0, 0, 0, 0, 0, 0,   0,   0,   0,   0,   0,   0,   0, 0, 0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0,   0,   0,   0,   0,   0,   0,   0, 0, 0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0,   0,   0,   0,   0,   0,   0,   0, 0, 0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0,   0,   0,   0,   0,   0,   0,   0, 0, 0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0,   0,   0,   0,   0,   0,   0,   0, 0, 0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0,   0,   0,   0,   0,   0,   0,   0, 0, 0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0,   0,   0,   0,   0,   0,   0,   0, 0, 0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0,   0,   0,   0,   0,   0,   0,   0, 0, 0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0,   0,   0,   0,   0,   0,   0,   0, 0, 0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0,   0,   0,   0,   0,   0,   0,   0, 0, 0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 220, 220, 220, 220, 220, 220, 220, 0, 0, 0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0,   0,   0,   0,   0,   0,   0,   0, 0, 0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0,   0,   0,   0,   0,   0,   0,   0},
    {0, 0, 0, 0, 0, 0, 0, 0, 0,   0,   0,   0,   0,   0,   0, 0, 0, 0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0,   0,   0,   0,   0,   0,   0, 0, 0, 0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0,   0,   0,   0,   0,   0,   0, 0, 0, 0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 230, 230, 230, 230, 230, 230, 7, 0, 0, 0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0,   0,   0,   0,   0,   0,   0, 0, 0, 0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0,   0,   0,   0,   0,   0,   0, 0, 0, 0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0,   0,   0,   0,   0,   0,   0, 0, 0, 0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0,   0,   0,   0,   0,   0,   0, 0, 0, 0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0,   0,   0,   0,   0,   0,   0, 0, 0, 0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0,   0,   0,   0,   0,   0,   0, 0, 0, 0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0,   0,   0,   0,   0,   0,   0, 0, 0, 0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0,   0,   0,   0,   0,   0,   0, 0, 0, 0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0,   0,   0,   0,   0,   0,   0, 0}};

const uint8_t uninorms::composition_index[uninorms::CHARS >> 8] = {
    0, 1, 2, 3, 4,  5,  6, 5, 5,  7,  5, 8,  9,  10, 5, 5, 11, 5,  5, 5, 5, 5,
    5, 5, 5, 5, 5,  12, 5, 5, 13, 14, 5, 15, 16, 5,  5, 5, 5,  5,  5, 5, 5, 5,
    5, 5, 5, 5, 17, 5,  5, 5, 5,  5,  5, 5,  5,  5,  5, 5, 5,  5,  5, 5, 5, 5,
    5, 5, 5, 5, 5,  5,  5, 5, 5,  5,  5, 5,  5,  5,  5, 5, 5,  5,  5, 5, 5, 5,
    5, 5, 5, 5, 5,  5,  5, 5, 5,  5,  5, 5,  5,  5,  5, 5, 5,  5,  5, 5, 5, 5,
    5, 5, 5, 5, 5,  5,  5, 5, 5,  5,  5, 5,  5,  5,  5, 5, 5,  5,  5, 5, 5, 5,
    5, 5, 5, 5, 5,  5,  5, 5, 5,  5,  5, 5,  5,  5,  5, 5, 5,  5,  5, 5, 5, 5,
    5, 5, 5, 5, 5,  5,  5, 5, 5,  5,  5, 5,  5,  5,  5, 5, 5,  5,  5, 5, 5, 5,
    5, 5, 5, 5, 5,  5,  5, 5, 5,  5,  5, 5,  5,  5,  5, 5, 5,  5,  5, 5, 5, 5,
    5, 5, 5, 5, 5,  5,  5, 5, 5,  5,  5, 5,  5,  5,  5, 5, 5,  5,  5, 5, 5, 5,
    5, 5, 5, 5, 5,  5,  5, 5, 5,  5,  5, 5,  5,  5,  5, 5, 5,  5,  5, 5, 5, 5,
    5, 5, 5, 5, 5,  5,  5, 5, 5,  5,  5, 5,  5,  5,  5, 5, 5,  5,  5, 5, 5, 5,
    5, 5, 5, 5, 5,  5,  5, 5, 18, 19, 5, 20, 21, 22, 5, 5, 5,  23, 5, 5, 5, 5,
    5, 5, 5, 5, 5,  5,  5, 5, 5,  5,  5, 5,  5,  5,  5, 5, 5,  5,  5, 5, 5, 5,
    5, 5, 5, 5, 5,  5,  5, 5, 5,  5,  5, 5,  5,  5,  5, 5, 5,  5,  5, 5, 5, 5,
    5, 5, 5, 5, 5,  5,  5, 5, 5,  5,  5, 5,  5,  5,  5, 5, 5,  5,  5, 5, 5, 5,
    5, 5, 5, 5, 5,  5,  5, 5, 5,  5,  5, 5,  5,  5,  5, 5, 5,  5,  5, 5, 5, 5,
    5, 5, 5, 5, 5,  5,  5, 5, 5,  5,  5, 5,  5,  5,  5, 5, 5,  5,  5, 5, 5, 5,
    5, 5, 5, 5, 5,  5,  5, 5, 5,  5,  5, 5,  5,  5,  5, 5, 5,  5,  5, 5, 5, 5,
    5, 5, 5, 5, 5,  5,  5, 5, 5,  5,  5, 5,  5,  5,  5, 5, 5,  5,  5, 5, 5, 5,
    5, 5, 5, 5, 5,  5,  5, 5, 5,  5,  5, 5,  5,  5,  5, 5, 5,  5,  5, 5, 5, 5,
    5, 5, 5, 5, 5,  5,  5, 5, 5,  5,  5, 5,  5,  5,  5, 5, 5,  5,  5, 5, 5, 5,
    5, 5, 5, 5, 5,  5,  5, 5, 5,  5,  5, 5,  5,  5,  5, 5, 5,  5,  5, 5, 5, 5,
    5, 5, 5, 5, 5,  5,  5, 5, 5,  5,  5, 5,  5,  5,  5, 5, 5,  5,  5, 5, 5, 5,
    5, 5, 5, 5, 5,  5,  5, 5, 5,  5,  5, 5,  5,  5,  5, 5, 5,  5,  5, 5, 5, 5,
    5, 5, 5, 5, 5,  5,  5, 5, 5,  5,  5, 5,  5,  5,  5, 5, 5,  5,  5, 5, 5, 5,
    5, 5, 5, 5, 5,  5,  5, 5, 5,  5,  5, 5,  5,  5,  5, 5, 5,  5,  5, 5, 5, 5,
    5, 5, 5, 5, 5,  5,  5, 5, 5,  5,  5, 5,  5,  5,  5, 5, 5,  5,  5, 5, 5, 5,
    5, 5, 5, 5, 5,  5,  5, 5, 5,  5,  5, 5,  5,  5,  5, 5, 5,  5,  5, 5, 5, 5,
    5, 5, 5, 5, 5,  5,  5, 5, 5,  5,  5, 5,  5,  5,  5, 5, 5,  5,  5, 5, 5, 5,
    5, 5, 5, 5, 5,  5,  5, 5, 5,  5,  5, 5,  5,  5,  5, 5, 5,  5,  5, 5, 5, 5,
    5, 5, 5, 5, 5,  5,  5, 5, 5,  5,  5, 5,  5,  5,  5, 5, 5,  5,  5, 5, 5, 5,
    5, 5, 5, 5, 5,  5,  5, 5, 5,  5,  5, 5,  5,  5,  5, 5, 5,  5,  5, 5, 5, 5,
    5, 5, 5, 5, 5,  5,  5, 5, 5,  5,  5, 5,  5,  5,  5, 5, 5,  5,  5, 5, 5, 5,
    5, 5, 5, 5, 5,  5,  5, 5, 5,  5,  5, 5,  5,  5,  5, 5, 5,  5,  5, 5, 5, 5,
    5, 5, 5, 5, 5,  5,  5, 5, 5,  5,  5, 5,  5,  5,  5, 5, 5,  5,  5, 5, 5, 5,
    5, 5, 5, 5, 5,  5,  5, 5, 5,  5,  5, 5,  5,  5,  5, 5, 5,  5,  5, 5, 5, 5,
    5, 5, 5, 5, 5,  5,  5, 5, 5,  5,  5, 5,  5,  5,  5, 5, 5,  5,  5, 5, 5, 5,
    5, 5, 5, 5, 5,  5,  5, 5, 5,  5,  5, 5,  5,  5,  5, 5, 5,  5,  5, 5, 5, 5,
    5, 5, 5, 5, 5,  5,  5, 5, 5,  5,  5, 5,  5,  5,  5, 5, 5,  5,  5, 5, 5, 5,
    5, 5, 5, 5, 5,  5,  5, 5, 5,  5,  5, 5,  5,  5,  5, 5, 5,  5,  5, 5, 5, 5,
    5, 5, 5, 5, 5,  5,  5, 5, 5,  5,  5, 5,  5,  5,  5, 5, 5,  5,  5, 5, 5, 5,
    5, 5, 5, 5, 5,  5,  5, 5, 5,  5,  5, 5,  5,  5,  5, 5, 5,  5,  5, 5, 5, 5,
    5, 5, 5, 5, 5,  5,  5, 5, 5,  5,  5, 5,  5,  5,  5, 5, 5,  5,  5, 5, 5, 5,
    5, 5, 5, 5, 5,  5,  5, 5, 5,  5,  5, 5,  5,  5,  5, 5, 5,  5,  5, 5, 5, 5,
    5, 5, 5, 5, 5,  5,  5, 5, 5,  5,  5, 5,  5,  5,  5, 5, 5,  5,  5, 5, 5, 5,
    5, 5, 5, 5, 5,  5,  5, 5, 5,  5,  5, 5,  5,  5,  5, 5, 5,  5,  5, 5, 5, 5,
    5, 5, 5, 5, 5,  5,  5, 5, 5,  5,  5, 5,  5,  5,  5, 5, 5,  5,  5, 5, 5, 5,
    5, 5, 5, 5, 5,  5,  5, 5, 5,  5,  5, 5,  5,  5,  5, 5, 5,  5,  5, 5, 5, 5,
    5, 5, 5, 5, 5,  5,  5, 5, 5,  5,  5, 5,  5,  5,  5, 5, 5,  5,  5, 5, 5, 5,
    5, 5, 5, 5, 5,  5,  5, 5, 5,  5,  5, 5,  5,  5,  5, 5, 5,  5,  5, 5, 5, 5,
    5, 5, 5, 5, 5,  5,  5, 5, 5,  5,  5, 5,  5,  5,  5, 5, 5,  5,  5, 5, 5, 5,
    5, 5, 5, 5, 5,  5,  5, 5, 5,  5,  5, 5,  5,  5,  5, 5, 5,  5,  5, 5, 5, 5,
    5, 5, 5, 5, 5,  5,  5, 5, 5,  5,  5, 5,  5,  5,  5, 5, 5,  5,  5, 5, 5, 5,
    5, 5, 5, 5, 5,  5,  5, 5, 5,  5,  5, 5,  5,  5,  5, 5, 5,  5,  5, 5, 5, 5,
    5, 5, 5, 5, 5,  5,  5, 5, 5,  5,  5, 5,  5,  5,  5, 5, 5,  5,  5, 5, 5, 5,
    5, 5, 5, 5, 5,  5,  5, 5, 5,  5,  5, 5,  5,  5,  5, 5, 5,  5,  5, 5, 5, 5,
    5, 5, 5, 5, 5,  5,  5, 5, 5,  5,  5, 5,  5,  5,  5, 5, 5,  5,  5, 5, 5, 5,
    5, 5, 5, 5, 5,  5,  5, 5, 5,  5,  5, 5,  5,  5,  5, 5, 5,  5,  5, 5, 5, 5,
    5, 5, 5, 5, 5,  5,  5, 5, 5,  5,  5, 5,  5,  5,  5, 5, 5,  5,  5, 5, 5, 5,
    5, 5, 5, 5, 5,  5,  5, 5, 5,  5,  5, 5,  5,  5,  5, 5, 5,  5,  5, 5, 5, 5,
    5, 5, 5, 5, 5,  5,  5, 5, 5,  5,  5, 5,  5,  5,  5, 5, 5,  5,  5, 5, 5, 5,
    5, 5, 5, 5, 5,  5,  5, 5, 5,  5,  5, 5,  5,  5,  5, 5, 5,  5,  5, 5, 5, 5,
    5, 5, 5, 5, 5,  5,  5, 5, 5,  5,  5, 5,  5,  5,  5, 5, 5,  5,  5, 5, 5, 5,
    5, 5, 5, 5, 5,  5,  5, 5, 5,  5,  5, 5,  5,  5,  5, 5, 5,  5,  5, 5, 5, 5,
    5, 5, 5, 5, 5,  5,  5, 5, 5,  5,  5, 5,  5,  5,  5, 5, 5,  5,  5, 5, 5, 5,
    5, 5, 5, 5, 5,  5,  5, 5, 5,  5,  5, 5,  5,  5,  5, 5, 5,  5,  5, 5, 5, 5,
    5, 5, 5, 5, 5,  5,  5, 5, 5,  5,  5, 5,  5,  5,  5, 5, 5,  5,  5, 5, 5, 5,
    5, 5, 5, 5, 5,  5,  5, 5, 5,  5,  5, 5,  5,  5,  5, 5, 5,  5,  5, 5, 5, 5,
    5, 5, 5, 5, 5,  5,  5, 5, 5,  5,  5, 5,  5,  5,  5, 5, 5,  5,  5, 5, 5, 5,
    5, 5, 5, 5, 5,  5,  5, 5, 5,  5,  5, 5,  5,  5,  5, 5, 5,  5,  5, 5, 5, 5,
    5, 5, 5, 5, 5,  5,  5, 5, 5,  5,  5, 5,  5,  5,  5, 5, 5,  5,  5, 5, 5, 5,
    5, 5, 5, 5, 5,  5,  5, 5, 5,  5,  5, 5,  5,  5,  5, 5, 5,  5,  5, 5, 5, 5,
    5, 5, 5, 5, 5,  5,  5, 5, 5,  5,  5, 5,  5,  5,  5, 5, 5,  5,  5, 5, 5, 5,
    5, 5, 5, 5, 5,  5,  5, 5, 5,  5,  5, 5,  5,  5,  5, 5, 5,  5,  5, 5, 5, 5,
    5, 5, 5, 5, 5,  5,  5, 5, 5,  5,  5, 5,  5,  5,  5, 5, 5,  5,  5, 5, 5, 5,
    5, 5, 5, 5, 5,  5,  5, 5, 5,  5,  5, 5,  5,  5,  5, 5, 5,  5,  5, 5, 5, 5,
    5, 5, 5, 5, 5,  5,  5, 5, 5,  5,  5, 5,  5,  5,  5, 5, 5,  5,  5, 5, 5, 5,
    5, 5, 5, 5, 5,  5,  5, 5, 5,  5,  5, 5,  5,  5,  5, 5, 5,  5,  5, 5, 5, 5,
    5, 5, 5, 5, 5,  5,  5, 5, 5,  5,  5, 5,  5,  5,  5, 5, 5,  5,  5, 5, 5, 5,
    5, 5, 5, 5, 5,  5,  5, 5, 5,  5,  5, 5,  5,  5,  5, 5, 5,  5,  5, 5, 5, 5,
    5, 5, 5, 5, 5,  5,  5, 5, 5,  5,  5, 5,  5,  5,  5, 5, 5,  5,  5, 5, 5, 5,
    5, 5, 5, 5, 5,  5,  5, 5, 5,  5,  5, 5,  5,  5,  5, 5, 5,  5,  5, 5, 5, 5,
    5, 5, 5, 5, 5,  5,  5, 5, 5,  5,  5, 5,  5,  5,  5, 5, 5,  5,  5, 5, 5, 5,
    5, 5, 5, 5, 5,  5,  5, 5, 5,  5,  5, 5,  5,  5,  5, 5, 5,  5,  5, 5, 5, 5,
    5, 5, 5, 5, 5,  5,  5, 5, 5,  5,  5, 5,  5,  5,  5, 5, 5,  5,  5, 5, 5, 5,
    5, 5, 5, 5, 5,  5,  5, 5, 5,  5,  5, 5,  5,  5,  5, 5, 5,  5,  5, 5, 5, 5,
    5, 5, 5, 5, 5,  5,  5, 5, 5,  5,  5, 5,  5,  5,  5, 5, 5,  5,  5, 5, 5, 5,
    5, 5, 5, 5, 5,  5,  5, 5, 5,  5,  5, 5,  5,  5,  5, 5, 5,  5,  5, 5, 5, 5,
    5, 5, 5, 5, 5,  5,  5, 5, 5,  5,  5, 5,  5,  5,  5, 5, 5,  5,  5, 5, 5, 5,
    5, 5, 5, 5, 5,  5,  5, 5, 5,  5,  5, 5,  5,  5,  5, 5, 5,  5,  5, 5, 5, 5,
    5, 5, 5, 5, 5,  5,  5, 5, 5,  5,  5, 5,  5,  5,  5, 5, 5,  5,  5, 5, 5, 5,
    5, 5, 5, 5, 5,  5,  5, 5, 5,  5,  5, 5,  5,  5,  5, 5, 5,  5,  5, 5, 5, 5,
    5, 5, 5, 5, 5,  5,  5, 5, 5,  5,  5, 5,  5,  5,  5, 5, 5,  5,  5, 5, 5, 5,
    5, 5, 5, 5, 5,  5,  5, 5, 5,  5,  5, 5,  5,  5,  5, 5, 5,  5,  5, 5, 5, 5,
    5, 5, 5, 5, 5,  5,  5, 5, 5,  5,  5, 5,  5,  5,  5, 5, 5,  5,  5, 5, 5, 5,
    5, 5, 5, 5, 5,  5,  5, 5, 5,  5,  5, 5,  5,  5,  5, 5, 5,  5,  5, 5, 5, 5,
    5, 5, 5, 5, 5,  5,  5, 5, 5,  5,  5, 5,  5,  5,  5, 5, 5,  5,  5, 5, 5, 5,
    5, 5, 5, 5, 5,  5,  5, 5, 5,  5,  5, 5,  5,  5,  5, 5, 5,  5,  5, 5, 5, 5,
    5, 5, 5, 5, 5,  5,  5, 5, 5,  5,  5, 5,  5,  5,  5, 5, 5,  5,  5, 5, 5, 5,
    5, 5, 5, 5, 5,  5,  5, 5, 5,  5,  5, 5,  5,  5,  5, 5, 5,  5,  5, 5, 5, 5,
    5, 5, 5, 5, 5,  5,  5, 5, 5,  5,  5, 5,  5,  5,  5, 5, 5,  5,  5, 5, 5, 5,
    5, 5, 5, 5, 5,  5,  5, 5, 5,  5,  5, 5,  5,  5,  5, 5, 5,  5,  5, 5, 5, 5,
    5, 5, 5, 5, 5,  5,  5, 5, 5,  5,  5, 5,  5,  5,  5, 5, 5,  5,  5, 5, 5, 5,
    5, 5, 5, 5, 5,  5,  5, 5, 5,  5,  5, 5,  5,  5,  5, 5, 5,  5,  5, 5, 5, 5,
    5, 5, 5, 5, 5,  5,  5, 5, 5,  5,  5, 5,  5,  5,  5, 5, 5,  5,  5, 5, 5, 5,
    5, 5, 5, 5, 5,  5,  5, 5, 5,  5,  5, 5,  5,  5,  5, 5, 5,  5,  5, 5, 5, 5,
    5, 5, 5, 5, 5,  5,  5, 5, 5,  5,  5, 5,  5,  5,  5, 5, 5,  5,  5, 5, 5, 5,
    5, 5, 5, 5, 5,  5,  5, 5, 5,  5,  5, 5,  5,  5,  5, 5, 5,  5,  5, 5, 5, 5,
    5, 5, 5, 5, 5,  5,  5, 5, 5,  5,  5, 5,  5,  5,  5, 5, 5,  5,  5, 5, 5, 5,
    5, 5, 5, 5, 5,  5,  5, 5, 5,  5,  5, 5,  5,  5,  5, 5, 5,  5,  5, 5, 5, 5,
    5, 5, 5, 5, 5,  5,  5, 5, 5,  5,  5, 5,  5,  5,  5, 5, 5,  5,  5, 5, 5, 5,
    5, 5, 5, 5, 5,  5,  5, 5, 5,  5,  5, 5,  5,  5,  5, 5, 5,  5,  5, 5, 5, 5,
    5, 5, 5, 5, 5,  5,  5, 5, 5,  5,  5, 5,  5,  5,  5, 5, 5,  5,  5, 5, 5, 5,
    5, 5, 5, 5, 5,  5,  5, 5, 5,  5,  5, 5,  5,  5,  5, 5, 5,  5,  5, 5, 5, 5,
    5, 5, 5, 5, 5,  5,  5, 5, 5,  5,  5, 5,  5,  5,  5, 5, 5,  5,  5, 5, 5, 5,
    5, 5, 5, 5, 5,  5,  5, 5, 5,  5,  5, 5,  5,  5,  5, 5, 5,  5,  5, 5, 5, 5,
    5, 5, 5, 5, 5,  5,  5, 5, 5,  5,  5, 5,  5,  5,  5, 5, 5,  5,  5, 5, 5, 5,
    5, 5, 5, 5, 5,  5,  5, 5, 5,  5,  5, 5,  5,  5,  5, 5, 5,  5,  5, 5, 5, 5,
    5, 5, 5, 5, 5,  5,  5, 5, 5,  5,  5, 5,  5,  5,  5, 5, 5,  5,  5, 5, 5, 5,
    5, 5, 5, 5, 5,  5,  5, 5, 5,  5,  5, 5,  5,  5,  5, 5, 5,  5,  5, 5, 5, 5,
    5, 5, 5, 5, 5,  5,  5, 5, 5,  5,  5, 5,  5,  5,  5, 5, 5,  5,  5, 5, 5, 5,
    5, 5, 5, 5, 5,  5,  5, 5, 5,  5,  5, 5,  5,  5,  5, 5, 5,  5,  5, 5, 5, 5,
    5, 5, 5, 5, 5,  5,  5, 5, 5,  5,  5, 5,  5,  5,  5, 5, 5,  5,  5, 5, 5, 5,
    5, 5, 5, 5, 5,  5,  5, 5, 5,  5,  5, 5,  5,  5,  5, 5, 5,  5,  5, 5, 5, 5,
    5, 5, 5, 5, 5,  5,  5, 5, 5,  5,  5, 5,  5,  5,  5, 5, 5,  5,  5, 5, 5, 5,
    5, 5, 5, 5, 5,  5,  5, 5, 5,  5,  5, 5,  5,  5,  5, 5, 5,  5,  5, 5, 5, 5,
    5, 5, 5, 5, 5,  5,  5, 5, 5,  5,  5, 5,  5,  5,  5, 5, 5,  5,  5, 5, 5, 5,
    5, 5, 5, 5, 5,  5,  5, 5, 5,  5,  5, 5,  5,  5,  5, 5, 5,  5,  5, 5, 5, 5,
    5, 5, 5, 5, 5,  5,  5, 5, 5,  5,  5, 5,  5,  5,  5, 5, 5,  5,  5, 5, 5, 5,
    5, 5, 5, 5, 5,  5,  5, 5, 5,  5,  5, 5,  5,  5,  5, 5, 5,  5,  5, 5, 5, 5,
    5, 5, 5, 5, 5,  5,  5, 5, 5,  5,  5, 5,  5,  5,  5, 5, 5,  5,  5, 5, 5, 5,
    5, 5, 5, 5, 5,  5,  5, 5, 5,  5,  5, 5,  5,  5,  5, 5, 5,  5,  5, 5, 5, 5,
    5, 5, 5, 5, 5,  5,  5, 5, 5,  5,  5, 5,  5,  5,  5, 5, 5,  5,  5, 5, 5, 5,
    5, 5, 5, 5, 5,  5,  5, 5, 5,  5,  5, 5,  5,  5,  5, 5, 5,  5,  5, 5, 5, 5,
    5, 5, 5, 5, 5,  5,  5, 5, 5,  5,  5, 5,  5,  5,  5, 5, 5,  5,  5, 5, 5, 5,
    5, 5, 5, 5, 5,  5,  5, 5, 5,  5,  5, 5,  5,  5,  5, 5, 5,  5,  5, 5, 5, 5,
    5, 5, 5, 5, 5,  5,  5, 5, 5,  5,  5, 5,  5,  5,  5, 5, 5,  5,  5, 5, 5, 5,
    5, 5, 5, 5, 5,  5,  5, 5, 5,  5,  5, 5,  5,  5,  5, 5, 5,  5,  5, 5, 5, 5,
    5, 5, 5, 5, 5,  5,  5, 5, 5,  5,  5, 5,  5,  5,  5, 5, 5,  5,  5, 5, 5, 5,
    5, 5, 5, 5, 5,  5,  5, 5, 5,  5,  5, 5,  5,  5,  5, 5, 5,  5,  5, 5, 5, 5,
    5, 5, 5, 5, 5,  5,  5, 5, 5,  5,  5, 5,  5,  5,  5, 5, 5,  5,  5, 5, 5, 5,
    5, 5, 5, 5, 5,  5,  5, 5, 5,  5,  5, 5,  5,  5,  5, 5, 5,  5,  5, 5, 5, 5,
    5, 5, 5, 5, 5,  5,  5, 5, 5,  5,  5, 5,  5,  5,  5, 5, 5,  5,  5, 5, 5, 5,
    5, 5, 5, 5, 5,  5,  5, 5, 5,  5,  5, 5,  5,  5,  5, 5, 5,  5,  5, 5, 5, 5,
    5, 5, 5, 5, 5,  5,  5, 5, 5,  5,  5, 5,  5,  5,  5, 5, 5,  5,  5, 5, 5, 5,
    5, 5, 5, 5, 5,  5,  5, 5, 5,  5,  5, 5,  5,  5,  5, 5, 5,  5,  5, 5, 5, 5,
    5, 5, 5, 5, 5,  5,  5, 5, 5,  5,  5, 5,  5,  5,  5, 5, 5,  5,  5, 5, 5, 5,
    5, 5, 5, 5, 5,  5,  5, 5, 5,  5,  5, 5,  5,  5,  5, 5, 5,  5,  5, 5, 5, 5,
    5, 5, 5, 5, 5,  5,  5, 5, 5,  5,  5, 5,  5,  5,  5, 5, 5,  5,  5, 5, 5, 5,
    5, 5, 5, 5, 5,  5,  5, 5, 5,  5,  5, 5,  5,  5,  5, 5, 5,  5,  5, 5, 5, 5,
    5, 5, 5, 5, 5,  5,  5, 5, 5,  5,  5, 5,  5,  5,  5, 5, 5,  5,  5, 5, 5, 5,
    5, 5, 5, 5, 5,  5,  5, 5, 5,  5,  5, 5,  5,  5,  5, 5, 5,  5,  5, 5, 5, 5,
    5, 5, 5, 5, 5,  5,  5, 5, 5,  5,  5, 5,  5,  5,  5, 5, 5,  5,  5, 5, 5, 5,
    5, 5, 5, 5, 5,  5,  5, 5, 5,  5,  5, 5,  5,  5,  5, 5, 5,  5,  5, 5, 5, 5,
    5, 5, 5, 5, 5,  5,  5, 5, 5,  5,  5, 5,  5,  5,  5, 5, 5,  5,  5, 5, 5, 5,
    5, 5, 5, 5, 5,  5,  5, 5, 5,  5,  5, 5,  5,  5,  5, 5, 5,  5,  5, 5, 5, 5,
    5, 5, 5, 5, 5,  5,  5, 5, 5,  5,  5, 5,  5,  5,  5, 5, 5,  5,  5, 5, 5, 5,
    5, 5, 5, 5, 5,  5,  5, 5, 5,  5,  5, 5,  5,  5,  5, 5, 5,  5,  5, 5, 5, 5,
    5, 5, 5, 5, 5,  5,  5, 5, 5,  5,  5, 5,  5,  5,  5, 5, 5,  5,  5, 5, 5, 5,
    5, 5, 5, 5, 5,  5,  5, 5, 5,  5,  5, 5,  5,  5,  5, 5, 5,  5,  5, 5, 5, 5,
    5, 5, 5, 5, 5,  5,  5, 5, 5,  5,  5, 5,  5,  5,  5, 5, 5,  5,  5, 5, 5, 5,
    5, 5, 5, 5, 5,  5,  5, 5, 5,  5,  5, 5,  5,  5,  5, 5, 5,  5,  5, 5, 5, 5,
    5, 5, 5, 5, 5,  5,  5, 5, 5,  5,  5, 5,  5,  5,  5, 5, 5,  5,  5, 5, 5, 5,
    5, 5, 5, 5, 5,  5,  5, 5, 5,  5,  5, 5,  5,  5,  5, 5, 5,  5,  5, 5, 5, 5,
    5, 5, 5, 5, 5,  5,  5, 5, 5,  5,  5, 5,  5,  5,  5, 5, 5,  5,  5, 5, 5, 5,
    5, 5, 5, 5, 5,  5,  5, 5, 5,  5,  5, 5,  5,  5,  5, 5, 5,  5,  5, 5, 5, 5,
    5, 5, 5, 5, 5,  5,  5, 5, 5,  5,  5, 5,  5,  5,  5, 5, 5,  5,  5, 5, 5, 5,
    5, 5, 5, 5, 5,  5,  5, 5, 5,  5,  5, 5,  5,  5,  5, 5, 5,  5,  5, 5, 5, 5,
    5, 5, 5, 5, 5,  5,  5, 5, 5,  5,  5, 5,  5,  5,  5, 5, 5,  5,  5, 5, 5, 5,
    5, 5, 5, 5, 5,  5,  5, 5, 5,  5,  5, 5,  5,  5,  5, 5, 5,  5,  5, 5, 5, 5,
    5, 5, 5, 5, 5,  5,  5, 5, 5,  5,  5, 5,  5,  5,  5, 5, 5,  5,  5, 5, 5, 5,
    5, 5, 5, 5, 5,  5,  5, 5, 5,  5,  5, 5,  5,  5,  5, 5, 5,  5,  5, 5, 5, 5,
    5, 5, 5, 5, 5,  5,  5, 5, 5,  5,  5, 5,  5,  5,  5, 5, 5,  5,  5, 5, 5, 5,
    5, 5, 5, 5, 5,  5,  5, 5, 5,  5,  5, 5,  5,  5,  5, 5, 5,  5,  5, 5, 5, 5,
    5, 5, 5, 5, 5,  5,  5, 5, 5,  5,  5, 5,  5,  5,  5, 5, 5,  5,  5, 5, 5, 5,
    5, 5, 5, 5, 5,  5,  5, 5, 5,  5,  5, 5,  5,  5,  5, 5, 5,  5,  5, 5, 5, 5,
    5, 5, 5, 5, 5,  5,  5, 5, 5,  5,  5, 5,  5,  5,  5, 5, 5,  5,  5, 5, 5, 5,
    5, 5, 5, 5, 5,  5,  5, 5, 5,  5,  5, 5,  5,  5,  5, 5, 5,  5,  5, 5, 5, 5,
    5, 5, 5, 5, 5,  5,  5, 5, 5,  5,  5, 5,  5,  5,  5, 5, 5,  5,  5, 5, 5, 5,
    5, 5, 5, 5, 5,  5,  5, 5, 5,  5,  5, 5,  5,  5,  5, 5, 5,  5,  5, 5, 5, 5,
    5, 5, 5, 5, 5,  5,  5, 5, 5,  5,  5, 5,  5,  5,  5, 5, 5,  5,  5, 5, 5, 5,
    5, 5, 5, 5, 5,  5,  5, 5, 5,  5,  5, 5,  5,  5,  5, 5, 5,  5,  5, 5, 5, 5,
    5, 5, 5, 5, 5,  5,  5, 5, 5,  5,  5, 5,  5,  5,  5, 5, 5,  5,  5, 5, 5, 5,
    5, 5, 5, 5, 5,  5,  5, 5, 5,  5,  5, 5,  5,  5,  5, 5, 5,  5,  5, 5, 5, 5,
    5, 5, 5, 5, 5,  5,  5, 5, 5,  5,  5, 5,  5,  5,  5, 5, 5,  5,  5, 5, 5, 5,
    5, 5, 5, 5, 5,  5,  5, 5, 5,  5,  5, 5,  5,  5,  5, 5, 5,  5,  5, 5, 5, 5,
    5, 5, 5, 5, 5,  5,  5, 5, 5,  5,  5, 5,  5,  5,  5, 5, 5,  5,  5, 5, 5, 5,
    5, 5, 5, 5, 5,  5,  5, 5, 5,  5,  5, 5,  5,  5,  5, 5, 5,  5,  5, 5, 5, 5,
    5, 5, 5, 5, 5,  5,  5, 5, 5,  5,  5, 5,  5,  5,  5, 5, 5,  5,  5, 5, 5, 5,
    5, 5, 5, 5, 5,  5,  5, 5, 5,  5,  5, 5,  5,  5,  5, 5, 5,  5,  5, 5, 5, 5,
    5, 5, 5, 5, 5,  5,  5, 5, 5,  5,  5, 5,  5,  5,  5, 5, 5,  5,  5, 5, 5, 5,
    5, 5, 5, 5, 5,  5,  5, 5, 5,  5,  5, 5,  5,  5,  5, 5, 5,  5,  5, 5, 5, 5,
    5, 5, 5, 5, 5,  5,  5, 5, 5,  5,  5, 5,  5,  5,  5, 5, 5,  5,  5, 5, 5, 5,
    5, 5, 5, 5, 5,  5,  5, 5, 5,  5,  5, 5,  5,  5,  5, 5, 5,  5,  5, 5, 5, 5,
    5, 5, 5, 5, 5,  5,  5, 5, 5,  5,  5, 5,  5,  5,  5, 5, 5,  5,  5, 5, 5, 5,
    5, 5, 5, 5, 5,  5,  5, 5, 5,  5,  5, 5,  5,  5,  5, 5, 5,  5,  5, 5, 5, 5,
    5, 5, 5, 5, 5,  5,  5, 5, 5,  5,  5, 5,  5,  5,  5, 5, 5,  5};
const uint16_t uninorms::composition_block[][257] = {
    {1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,
     1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,
     1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,
     1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,
     1,   3,   5,   7,   7,   7,   39,  45,  55,  67,  101, 103, 117, 131, 161,
     163, 173, 185, 191, 209, 241, 245, 245, 261, 275, 289, 327, 331, 343, 347,
     365, 377, 377, 377, 377, 377, 377, 377, 409, 415, 425, 437, 471, 473, 487,
     503, 531, 535, 545, 557, 563, 581, 613, 617, 617, 633, 647, 663, 701, 705,
     719, 723, 743, 755, 755, 755, 755, 755, 755, 755, 755, 755, 755, 755, 755,
     755, 755, 755, 755, 755, 755, 755, 755, 755, 755, 755, 755, 755, 755, 755,
     755, 755, 755, 755, 755, 755, 755, 755, 755, 755, 755, 755, 755, 755, 755,
     755, 755, 755, 755, 761, 761, 761, 761, 761, 761, 761, 761, 761, 761, 761,
     761, 761, 761, 761, 761, 761, 761, 761, 761, 761, 761, 761, 761, 761, 761,
     769, 769, 771, 773, 777, 779, 779, 779, 787, 787, 787, 787, 787, 789, 789,
     789, 789, 789, 797, 803, 805, 805, 807, 807, 807, 807, 815, 815, 815, 815,
     815, 815, 823, 823, 825, 827, 831, 833, 833, 833, 841, 841, 841, 841, 841,
     843, 843, 843, 843, 843, 851, 857, 859, 859, 861, 861, 861, 861, 869, 869,
     869, 869},
    {869, 869, 869, 877, 885, 885, 885, 885, 885, 885, 885, 885, 885, 885, 885,
     885, 885, 885, 885, 889, 893, 893, 893, 893, 893, 893, 893, 893, 893, 893,
     893, 893, 893, 893, 893, 893, 893, 893, 893, 893, 893, 893, 893, 893, 893,
     893, 893, 893, 893, 893, 893, 893, 893, 893, 893, 893, 893, 893, 893, 893,
     893, 893, 893, 893, 893, 893, 893, 893, 893, 893, 893, 893, 893, 893, 893,
     893, 893, 897, 901, 901, 901, 901, 901, 901, 901, 901, 901, 901, 901, 901,
     901, 903, 905, 905, 905, 905, 905, 907, 909, 909, 909, 909, 909, 909, 909,
     911, 913, 915, 917, 917, 917, 917, 917, 917, 917, 917, 917, 917, 917, 917,
     917, 917, 917, 917, 917, 917, 917, 917, 919, 919, 919, 919, 919, 919, 919,
     919, 919, 919, 919, 919, 919, 919, 919, 919, 919, 919, 919, 919, 919, 919,
     919, 919, 919, 919, 919, 919, 919, 919, 919, 919, 919, 929, 939, 939, 939,
     939, 939, 939, 939, 939, 939, 939, 939, 939, 939, 939, 949, 959, 959, 959,
     959, 959, 959, 959, 961, 961, 961, 961, 961, 961, 961, 961, 961, 961, 961,
     961, 961, 961, 961, 961, 961, 961, 961, 961, 961, 961, 961, 961, 961, 961,
     961, 961, 961, 961, 961, 961, 961, 961, 961, 961, 961, 961, 961, 961, 961,
     961, 961, 961, 961, 961, 961, 961, 961, 961, 961, 963, 965, 965, 965, 965,
     965, 965, 965, 965, 965, 965, 965, 965, 965, 965, 965, 965, 965, 965, 965,
     965, 965},
    {965, 965, 965, 965, 965, 965, 965, 965, 965, 965, 965, 965, 965, 965, 965,
     965, 965, 965, 965, 965, 965, 965, 965, 965, 965, 965, 965, 965, 965, 965,
     965, 965, 965, 965, 965, 965, 965, 965, 965, 967, 969, 971, 973, 973, 973,
     973, 973, 975, 977, 977, 977, 977, 977, 977, 977, 977, 977, 977, 977, 977,
     977, 977, 977, 977, 977, 977, 977, 977, 977, 977, 977, 977, 977, 977, 977,
     977, 977, 977, 977, 977, 977, 977, 977, 977, 977, 977, 977, 977, 977, 977,
     977, 977, 977, 977, 977, 977, 977, 977, 977, 977, 977, 977, 977, 977, 977,
     977, 977, 977, 977, 977, 977, 977, 977, 977, 977, 977, 977, 977, 977, 977,
     977, 977, 977, 977, 977, 977, 977, 977, 977, 977, 977, 977, 977, 977, 977,
     977, 977, 977, 977, 977, 977, 977, 977, 977, 977, 977, 977, 979, 979, 979,
     979, 979, 979, 979, 979, 979, 979, 979, 979, 979, 979, 979, 979, 979, 979,
     979, 979, 979, 979, 979, 979, 979, 979, 979, 979, 979, 979, 979, 979, 979,
     979, 979, 979, 979, 979, 979, 979, 979, 979, 979, 979, 979, 979, 979, 979,
     979, 979, 979, 979, 979, 979, 979, 979, 979, 979, 979, 979, 979, 979, 979,
     979, 979, 979, 979, 979, 979, 979, 979, 979, 979, 979, 979, 979, 979, 979,
     979, 979, 979, 979, 979, 979, 979, 979, 979, 979, 979, 979, 979, 979, 979,
     979, 979, 979, 979, 979, 979, 979, 979, 979, 979, 979, 979, 979, 979, 979,
     979, 979},
    {979,  979,  979,  979,  979,  979,  979,  979,  979,  979,  979,  979,
     979,  979,  979,  979,  979,  979,  979,  979,  979,  979,  979,  979,
     979,  979,  979,  979,  979,  979,  979,  979,  979,  979,  979,  979,
     979,  979,  979,  979,  979,  979,  979,  979,  979,  979,  979,  979,
     979,  979,  979,  979,  979,  979,  979,  979,  979,  979,  979,  979,
     979,  979,  979,  979,  979,  979,  979,  979,  979,  979,  979,  979,
     979,  979,  979,  979,  979,  979,  979,  979,  979,  979,  979,  979,
     979,  979,  979,  979,  979,  979,  979,  979,  979,  979,  979,  979,
     979,  979,  979,  979,  979,  979,  979,  979,  979,  979,  979,  979,
     979,  979,  979,  979,  979,  979,  979,  979,  979,  979,  979,  979,
     979,  979,  979,  979,  979,  979,  979,  979,  979,  979,  979,  979,
     979,  979,  979,  979,  979,  979,  979,  979,  979,  979,  979,  979,
     979,  979,  993,  993,  993,  993,  1001, 1001, 1011, 1011, 1025, 1025,
     1025, 1025, 1025, 1025, 1033, 1033, 1035, 1035, 1035, 1035, 1047, 1047,
     1047, 1047, 1057, 1057, 1057, 1059, 1059, 1061, 1061, 1061, 1077, 1077,
     1077, 1077, 1085, 1085, 1097, 1097, 1113, 1113, 1113, 1113, 1113, 1113,
     1121, 1121, 1125, 1125, 1125, 1125, 1141, 1141, 1141, 1141, 1153, 1159,
     1165, 1165, 1165, 1167, 1167, 1167, 1167, 1171, 1171, 1171, 1171, 1171,
     1171, 1171, 1171, 1171, 1171, 1171, 1171, 1171, 1171, 1171, 1171, 1171,
     1171, 1171, 1171, 1171, 1171, 1171, 1171, 1171, 1171, 1171, 1171, 1171,
     1171, 1171, 1171, 1171, 1171, 1171, 1171, 1171, 1171, 1171, 1171, 1171,
     1171, 1171, 1171, 1171, 1171},
    {1171, 1171, 1171, 1171, 1171, 1171, 1171, 1173, 1173, 1173, 1173, 1173,
     1173, 1173, 1173, 1173, 1173, 1177, 1177, 1177, 1179, 1179, 1185, 1189,
     1191, 1199, 1199, 1201, 1201, 1201, 1201, 1203, 1203, 1203, 1203, 1203,
     1211, 1211, 1211, 1211, 1213, 1213, 1213, 1213, 1215, 1215, 1217, 1217,
     1217, 1221, 1221, 1221, 1223, 1223, 1229, 1233, 1235, 1243, 1243, 1245,
     1245, 1245, 1245, 1247, 1247, 1247, 1247, 1247, 1255, 1255, 1255, 1255,
     1257, 1257, 1257, 1257, 1259, 1259, 1261, 1261, 1261, 1261, 1261, 1261,
     1261, 1261, 1261, 1263, 1263, 1263, 1263, 1263, 1263, 1263, 1263, 1263,
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    204,   769,   205,   770,   206,   771,   296,   772,   298,   774,   300,
    775,   304,   776,   207,   777,   7880,  780,   463,   783,   520,   785,
    522,   803,   7882,  808,   302,   816,   7724,  770,   308,   769,   7728,
    780,   488,   803,   7730,  807,   310,   817,   7732,  769,   313,   780,
    317,   803,   7734,  807,   315,   813,   7740,  817,   7738,  769,   7742,
    775,   7744,  803,   7746,  768,   504,   769,   323,   771,   209,   775,
    7748,  780,   327,   803,   7750,  807,   325,   813,   7754,  817,   7752,
    768,   210,   769,   211,   770,   212,   771,   213,   772,   332,   774,
    334,   775,   558,   776,   214,   777,   7886,  779,   336,   780,   465,
    783,   524,   785,   526,   795,   416,   803,   7884,  808,   490,   769,
    7764,  775,   7766,  769,   340,   775,   7768,  780,   344,   783,   528,
    785,   530,   803,   7770,  807,   342,   817,   7774,  769,   346,   770,
    348,   775,   7776,  780,   352,   803,   7778,  806,   536,   807,   350,
    775,   7786,  780,   356,   803,   7788,  806,   538,   807,   354,   813,
    7792,  817,   7790,  768,   217,   769,   218,   770,   219,   771,   360,
    772,   362,   774,   364,   776,   220,   777,   7910,  778,   366,   779,
    368,   780,   467,   783,   532,   785,   534,   795,   431,   803,   7908,
    804,   7794,  808,   370,   813,   7798,  816,   7796,  771,   7804,  803,
    7806,  768,   7808,  769,   7810,  770,   372,   775,   7814,  776,   7812,
    803,   7816,  775,   7818,  776,   7820,  768,   7922,  769,   221,   770,
    374,   771,   7928,  772,   562,   775,   7822,  776,   376,   777,   7926,
    803,   7924,  769,   377,   770,   7824,  775,   379,   780,   381,   803,
    7826,  817,   7828,  768,   224,   769,   225,   770,   226,   771,   227,
    772,   257,   774,   259,   775,   551,   776,   228,   777,   7843,  778,
    229,   780,   462,   783,   513,   785,   515,   803,   7841,  805,   7681,
    808,   261,   775,   7683,  803,   7685,  817,   7687,  769,   263,   770,
    265,   775,   267,   780,   269,   807,   231,   775,   7691,  780,   271,
    803,   7693,  807,   7697,  813,   7699,  817,   7695,  768,   232,   769,
    233,   770,   234,   771,   7869,  772,   275,   774,   277,   775,   279,
    776,   235,   777,   7867,  780,   283,   783,   517,   785,   519,   803,
    7865,  807,   553,   808,   281,   813,   7705,  816,   7707,  775,   7711,
    769,   501,   770,   285,   772,   7713,  774,   287,   775,   289,   780,
    487,   807,   291,   770,   293,   775,   7715,  776,   7719,  780,   543,
    803,   7717,  807,   7721,  814,   7723,  817,   7830,  768,   236,   769,
    237,   770,   238,   771,   297,   772,   299,   774,   301,   776,   239,
    777,   7881,  780,   464,   783,   521,   785,   523,   803,   7883,  808,
    303,   816,   7725,  770,   309,   780,   496,   769,   7729,  780,   489,
    803,   7731,  807,   311,   817,   7733,  769,   314,   780,   318,   803,
    7735,  807,   316,   813,   7741,  817,   7739,  769,   7743,  775,   7745,
    803,   7747,  768,   505,   769,   324,   771,   241,   775,   7749,  780,
    328,   803,   7751,  807,   326,   813,   7755,  817,   7753,  768,   242,
    769,   243,   770,   244,   771,   245,   772,   333,   774,   335,   775,
    559,   776,   246,   777,   7887,  779,   337,   780,   466,   783,   525,
    785,   527,   795,   417,   803,   7885,  808,   491,   769,   7765,  775,
    7767,  769,   341,   775,   7769,  780,   345,   783,   529,   785,   531,
    803,   7771,  807,   343,   817,   7775,  769,   347,   770,   349,   775,
    7777,  780,   353,   803,   7779,  806,   537,   807,   351,   775,   7787,
    776,   7831,  780,   357,   803,   7789,  806,   539,   807,   355,   813,
    7793,  817,   7791,  768,   249,   769,   250,   770,   251,   771,   361,
    772,   363,   774,   365,   776,   252,   777,   7911,  778,   367,   779,
    369,   780,   468,   783,   533,   785,   535,   795,   432,   803,   7909,
    804,   7795,  808,   371,   813,   7799,  816,   7797,  771,   7805,  803,
    7807,  768,   7809,  769,   7811,  770,   373,   775,   7815,  776,   7813,
    778,   7832,  803,   7817,  775,   7819,  776,   7821,  768,   7923,  769,
    253,   770,   375,   771,   7929,  772,   563,   775,   7823,  776,   255,
    777,   7927,  778,   7833,  803,   7925,  769,   378,   770,   7825,  775,
    380,   780,   382,   803,   7827,  817,   7829,  768,   8173,  769,   901,
    834,   8129,  768,   7846,  769,   7844,  771,   7850,  777,   7848,  772,
    478,   769,   506,   769,   508,   772,   482,   769,   7688,  768,   7872,
    769,   7870,  771,   7876,  777,   7874,  769,   7726,  768,   7890,  769,
    7888,  771,   7894,  777,   7892,  769,   7756,  772,   556,   776,   7758,
    772,   554,   769,   510,   768,   475,   769,   471,   772,   469,   780,
    473,   768,   7847,  769,   7845,  771,   7851,  777,   7849,  772,   479,
    769,   507,   769,   509,   772,   483,   769,   7689,  768,   7873,  769,
    7871,  771,   7877,  777,   7875,  769,   7727,  768,   7891,  769,   7889,
    771,   7895,  777,   7893,  769,   7757,  772,   557,   776,   7759,  772,
    555,   769,   511,   768,   476,   769,   472,   772,   470,   780,   474,
    768,   7856,  769,   7854,  771,   7860,  777,   7858,  768,   7857,  769,
    7855,  771,   7861,  777,   7859,  768,   7700,  769,   7702,  768,   7701,
    769,   7703,  768,   7760,  769,   7762,  768,   7761,  769,   7763,  775,
    7780,  775,   7781,  775,   7782,  775,   7783,  769,   7800,  769,   7801,
    776,   7802,  776,   7803,  775,   7835,  768,   7900,  769,   7898,  771,
    7904,  777,   7902,  803,   7906,  768,   7901,  769,   7899,  771,   7905,
    777,   7903,  803,   7907,  768,   7914,  769,   7912,  771,   7918,  777,
    7916,  803,   7920,  768,   7915,  769,   7913,  771,   7919,  777,   7917,
    803,   7921,  780,   494,   772,   492,   772,   493,   772,   480,   772,
    481,   774,   7708,  774,   7709,  772,   560,   772,   561,   780,   495,
    768,   8122,  769,   902,   772,   8121,  774,   8120,  787,   7944,  788,
    7945,  837,   8124,  768,   8136,  769,   904,   787,   7960,  788,   7961,
    768,   8138,  769,   905,   787,   7976,  788,   7977,  837,   8140,  768,
    8154,  769,   906,   772,   8153,  774,   8152,  776,   938,   787,   7992,
    788,   7993,  768,   8184,  769,   908,   787,   8008,  788,   8009,  788,
    8172,  768,   8170,  769,   910,   772,   8169,  774,   8168,  776,   939,
    788,   8025,  768,   8186,  769,   911,   787,   8040,  788,   8041,  837,
    8188,  837,   8116,  837,   8132,  768,   8048,  769,   940,   772,   8113,
    774,   8112,  787,   7936,  788,   7937,  834,   8118,  837,   8115,  768,
    8050,  769,   941,   787,   7952,  788,   7953,  768,   8052,  769,   942,
    787,   7968,  788,   7969,  834,   8134,  837,   8131,  768,   8054,  769,
    943,   772,   8145,  774,   8144,  776,   970,   787,   7984,  788,   7985,
    834,   8150,  768,   8056,  769,   972,   787,   8000,  788,   8001,  787,
    8164,  788,   8165,  768,   8058,  769,   973,   772,   8161,  774,   8160,
    776,   971,   787,   8016,  788,   8017,  834,   8166,  768,   8060,  769,
    974,   787,   8032,  788,   8033,  834,   8182,  837,   8179,  768,   8146,
    769,   912,   834,   8151,  768,   8162,  769,   944,   834,   8167,  837,
    8180,  769,   979,   776,   980,   776,   1031,  774,   1232,  776,   1234,
    769,   1027,  768,   1024,  774,   1238,  776,   1025,  774,   1217,  776,
    1244,  776,   1246,  768,   1037,  772,   1250,  774,   1049,  776,   1252,
    769,   1036,  776,   1254,  772,   1262,  774,   1038,  776,   1264,  779,
    1266,  776,   1268,  776,   1272,  776,   1260,  774,   1233,  776,   1235,
    769,   1107,  768,   1104,  774,   1239,  776,   1105,  774,   1218,  776,
    1245,  776,   1247,  768,   1117,  772,   1251,  774,   1081,  776,   1253,
    769,   1116,  776,   1255,  772,   1263,  774,   1118,  776,   1265,  779,
    1267,  776,   1269,  776,   1273,  776,   1261,  776,   1111,  783,   1142,
    783,   1143,  776,   1242,  776,   1243,  776,   1258,  776,   1259,  1619,
    1570,  1620,  1571,  1621,  1573,  1620,  1572,  1620,  1574,  1620,  1730,
    1620,  1747,  1620,  1728,  2364,  2345,  2364,  2353,  2364,  2356,  2494,
    2507,  2519,  2508,  2878,  2891,  2902,  2888,  2903,  2892,  3031,  2964,
    3006,  3018,  3031,  3020,  3006,  3019,  3158,  3144,  3285,  3264,  3266,
    3274,  3285,  3271,  3286,  3272,  3285,  3275,  3390,  3402,  3415,  3404,
    3390,  3403,  3530,  3546,  3535,  3548,  3551,  3550,  3530,  3549,  4142,
    4134,  6965,  6918,  6965,  6920,  6965,  6922,  6965,  6924,  6965,  6926,
    6965,  6930,  6965,  6971,  6965,  6973,  6965,  6976,  6965,  6977,  6965,
    6979,  772,   7736,  772,   7737,  772,   7772,  772,   7773,  775,   7784,
    775,   7785,  770,   7852,  774,   7862,  770,   7853,  774,   7863,  770,
    7878,  770,   7879,  770,   7896,  770,   7897,  768,   7938,  769,   7940,
    834,   7942,  837,   8064,  768,   7939,  769,   7941,  834,   7943,  837,
    8065,  837,   8066,  837,   8067,  837,   8068,  837,   8069,  837,   8070,
    837,   8071,  768,   7946,  769,   7948,  834,   7950,  837,   8072,  768,
    7947,  769,   7949,  834,   7951,  837,   8073,  837,   8074,  837,   8075,
    837,   8076,  837,   8077,  837,   8078,  837,   8079,  768,   7954,  769,
    7956,  768,   7955,  769,   7957,  768,   7962,  769,   7964,  768,   7963,
    769,   7965,  768,   7970,  769,   7972,  834,   7974,  837,   8080,  768,
    7971,  769,   7973,  834,   7975,  837,   8081,  837,   8082,  837,   8083,
    837,   8084,  837,   8085,  837,   8086,  837,   8087,  768,   7978,  769,
    7980,  834,   7982,  837,   8088,  768,   7979,  769,   7981,  834,   7983,
    837,   8089,  837,   8090,  837,   8091,  837,   8092,  837,   8093,  837,
    8094,  837,   8095,  768,   7986,  769,   7988,  834,   7990,  768,   7987,
    769,   7989,  834,   7991,  768,   7994,  769,   7996,  834,   7998,  768,
    7995,  769,   7997,  834,   7999,  768,   8002,  769,   8004,  768,   8003,
    769,   8005,  768,   8010,  769,   8012,  768,   8011,  769,   8013,  768,
    8018,  769,   8020,  834,   8022,  768,   8019,  769,   8021,  834,   8023,
    768,   8027,  769,   8029,  834,   8031,  768,   8034,  769,   8036,  834,
    8038,  837,   8096,  768,   8035,  769,   8037,  834,   8039,  837,   8097,
    837,   8098,  837,   8099,  837,   8100,  837,   8101,  837,   8102,  837,
    8103,  768,   8042,  769,   8044,  834,   8046,  837,   8104,  768,   8043,
    769,   8045,  834,   8047,  837,   8105,  837,   8106,  837,   8107,  837,
    8108,  837,   8109,  837,   8110,  837,   8111,  837,   8114,  837,   8130,
    837,   8178,  837,   8119,  768,   8141,  769,   8142,  834,   8143,  837,
    8135,  837,   8183,  768,   8157,  769,   8158,  834,   8159,  824,   8602,
    824,   8603,  824,   8622,  824,   8653,  824,   8655,  824,   8654,  824,
    8708,  824,   8713,  824,   8716,  824,   8740,  824,   8742,  824,   8769,
    824,   8772,  824,   8775,  824,   8777,  824,   8813,  824,   8802,  824,
    8816,  824,   8817,  824,   8820,  824,   8821,  824,   8824,  824,   8825,
    824,   8832,  824,   8833,  824,   8928,  824,   8929,  824,   8836,  824,
    8837,  824,   8840,  824,   8841,  824,   8930,  824,   8931,  824,   8876,
    824,   8877,  824,   8878,  824,   8879,  824,   8938,  824,   8939,  824,
    8940,  824,   8941,  12441, 12436, 12441, 12364, 12441, 12366, 12441, 12368,
    12441, 12370, 12441, 12372, 12441, 12374, 12441, 12376, 12441, 12378, 12441,
    12380, 12441, 12382, 12441, 12384, 12441, 12386, 12441, 12389, 12441, 12391,
    12441, 12393, 12441, 12400, 12442, 12401, 12441, 12403, 12442, 12404, 12441,
    12406, 12442, 12407, 12441, 12409, 12442, 12410, 12441, 12412, 12442, 12413,
    12441, 12446, 12441, 12532, 12441, 12460, 12441, 12462, 12441, 12464, 12441,
    12466, 12441, 12468, 12441, 12470, 12441, 12472, 12441, 12474, 12441, 12476,
    12441, 12478, 12441, 12480, 12441, 12482, 12441, 12485, 12441, 12487, 12441,
    12489, 12441, 12496, 12442, 12497, 12441, 12499, 12442, 12500, 12441, 12502,
    12442, 12503, 12441, 12505, 12442, 12506, 12441, 12508, 12442, 12509, 12441,
    12535, 12441, 12536, 12441, 12537, 12441, 12538, 12441, 12542, 69818, 69786,
    69818, 69788, 69818, 69803, 69927, 69934, 69927, 69935, 70462, 70475, 70487,
    70476, 70832, 70844, 70842, 70843, 70845, 70846, 71087, 71098, 71087, 71099,
    71984, 71992};

const uint8_t uninorms::decomposition_index[uninorms::CHARS >> 8] = {
    0,  1,  2,  3,  4,  5,  6,  7,  7,  8,  9,  10, 11, 12, 13, 14, 15, 7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  16, 7,  17, 18, 19, 20, 21, 22, 23, 24, 7,
    7,  7,  7,  7,  25, 7,  26, 27, 28, 29, 30, 31, 32, 33, 7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  34, 35, 7,  7,  7,
    36, 7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  37, 38, 39, 40, 41, 42, 43, 7,  7,  7,  7,  7,  7,  7,  44, 7,  7,
    7,  7,  7,  7,  7,  7,  45, 46, 7,  47, 48, 49, 7,  7,  7,  50, 7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  51, 7,  52, 53, 54, 55, 56, 7,  7,  7,
    7,  7,  7,  7,  7,  57, 7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  58,
    59, 7,  60, 61, 62, 7,  7,  7,  7,  7,  7,  7,  7,  63, 7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
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    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7};
const uint16_t uninorms::decomposition_block[][257] = {
    {4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,
     4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,
     4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,
     4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,
     4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,
     4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,
     4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,
     4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,
     4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,
     4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,
     4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   5,   8,   8,   8,   8,
     8,   8,   8,   9,   16,  17,  20,  20,  20,  20,  21,  28,  28,  29,  33,
     37,  45,  48,  48,  49,  57,  61,  64,  65,  77,  89,  100, 100, 108, 116,
     124, 132, 140, 148, 148, 156, 164, 172, 180, 188, 196, 204, 212, 220, 220,
     228, 236, 244, 252, 260, 268, 268, 268, 276, 284, 292, 300, 308, 308, 308,
     316, 324, 332, 340, 348, 356, 356, 364, 372, 380, 388, 396, 404, 412, 420,
     428, 428, 436, 444, 452, 460, 468, 476, 476, 476, 484, 492, 500, 508, 516,
     516, 524},
    {524,  532,  540,  548,  556,  564,  572,  580,  588,  596,  604,  612,
     620,  628,  636,  644,  652,  652,  652,  660,  668,  676,  684,  692,
     700,  708,  716,  724,  732,  740,  748,  756,  764,  772,  780,  788,
     796,  804,  812,  812,  812,  820,  828,  836,  844,  852,  860,  868,
     876,  884,  885,  893,  900,  908,  916,  924,  932,  932,  940,  948,
     956,  964,  972,  981,  989,  996,  996,  996,  1004, 1012, 1020, 1028,
     1036, 1045, 1052, 1052, 1052, 1060, 1068, 1076, 1084, 1092, 1100, 1100,
     1100, 1108, 1116, 1124, 1132, 1140, 1148, 1156, 1164, 1172, 1180, 1188,
     1196, 1204, 1212, 1220, 1228, 1236, 1244, 1244, 1244, 1252, 1260, 1268,
     1276, 1284, 1292, 1300, 1308, 1316, 1324, 1332, 1340, 1348, 1356, 1364,
     1372, 1380, 1388, 1396, 1404, 1412, 1420, 1429, 1432, 1432, 1432, 1432,
     1432, 1432, 1432, 1432, 1432, 1432, 1432, 1432, 1432, 1432, 1432, 1432,
     1432, 1432, 1432, 1432, 1432, 1432, 1432, 1432, 1432, 1432, 1432, 1432,
     1432, 1432, 1432, 1432, 1432, 1440, 1448, 1448, 1448, 1448, 1448, 1448,
     1448, 1448, 1448, 1448, 1448, 1448, 1448, 1448, 1456, 1464, 1464, 1464,
     1464, 1464, 1464, 1464, 1464, 1464, 1464, 1464, 1464, 1464, 1464, 1464,
     1464, 1464, 1464, 1464, 1465, 1477, 1489, 1501, 1509, 1517, 1525, 1533,
     1541, 1548, 1556, 1564, 1572, 1580, 1588, 1596, 1604, 1612, 1624, 1636,
     1648, 1660, 1672, 1684, 1696, 1708, 1708, 1720, 1732, 1744, 1756, 1764,
     1772, 1772, 1772, 1780, 1788, 1796, 1804, 1812, 1820, 1832, 1844, 1852,
     1860, 1869, 1877, 1885, 1892, 1900, 1908, 1908, 1908, 1916, 1924, 1936,
     1948, 1956, 1964, 1972, 1980},
    {1980, 1988, 1996, 2004, 2012, 2020, 2028, 2036, 2044, 2052, 2060, 2068,
     2076, 2084, 2092, 2100, 2108, 2116, 2124, 2132, 2140, 2148, 2156, 2164,
     2172, 2180, 2188, 2196, 2204, 2204, 2204, 2212, 2220, 2220, 2220, 2220,
     2220, 2220, 2220, 2228, 2236, 2244, 2252, 2264, 2276, 2288, 2300, 2308,
     2316, 2328, 2340, 2348, 2356, 2356, 2356, 2356, 2356, 2356, 2356, 2356,
     2356, 2356, 2356, 2356, 2356, 2356, 2356, 2356, 2356, 2356, 2356, 2356,
     2356, 2356, 2356, 2356, 2356, 2356, 2356, 2356, 2356, 2356, 2356, 2356,
     2356, 2356, 2356, 2356, 2356, 2356, 2356, 2356, 2356, 2356, 2356, 2356,
     2356, 2356, 2356, 2356, 2356, 2356, 2356, 2356, 2356, 2356, 2356, 2356,
     2356, 2356, 2356, 2356, 2356, 2356, 2356, 2356, 2356, 2356, 2356, 2356,
     2356, 2356, 2356, 2356, 2356, 2356, 2356, 2356, 2356, 2356, 2356, 2356,
     2356, 2356, 2356, 2356, 2356, 2356, 2356, 2356, 2356, 2356, 2356, 2356,
     2356, 2356, 2356, 2356, 2356, 2356, 2356, 2356, 2356, 2356, 2356, 2356,
     2356, 2356, 2356, 2356, 2356, 2356, 2356, 2356, 2356, 2356, 2356, 2356,
     2356, 2356, 2356, 2356, 2356, 2356, 2356, 2356, 2357, 2361, 2365, 2369,
     2373, 2377, 2381, 2385, 2389, 2392, 2392, 2392, 2392, 2392, 2392, 2392,
     2392, 2392, 2392, 2392, 2392, 2392, 2392, 2392, 2392, 2392, 2392, 2392,
     2392, 2392, 2392, 2392, 2392, 2392, 2392, 2392, 2392, 2392, 2392, 2392,
     2393, 2401, 2409, 2417, 2425, 2433, 2440, 2440, 2441, 2445, 2449, 2453,
     2457, 2460, 2460, 2460, 2460, 2460, 2460, 2460, 2460, 2460, 2460, 2460,
     2460, 2460, 2460, 2460, 2460, 2460, 2460, 2460, 2460, 2460, 2460, 2460,
     2460, 2460, 2460, 2460, 2460},
    {2460, 2460, 2460, 2460, 2460, 2460, 2460, 2460, 2460, 2460, 2460, 2460,
     2460, 2460, 2460, 2460, 2460, 2460, 2460, 2460, 2460, 2460, 2460, 2460,
     2460, 2460, 2460, 2460, 2460, 2460, 2460, 2460, 2460, 2460, 2460, 2460,
     2460, 2460, 2460, 2460, 2460, 2460, 2460, 2460, 2460, 2460, 2460, 2460,
     2460, 2460, 2460, 2460, 2460, 2460, 2460, 2460, 2460, 2460, 2460, 2460,
     2460, 2460, 2460, 2460, 2460, 2464, 2468, 2468, 2472, 2480, 2480, 2480,
     2480, 2480, 2480, 2480, 2480, 2480, 2480, 2480, 2480, 2480, 2480, 2480,
     2480, 2480, 2480, 2480, 2480, 2480, 2480, 2480, 2480, 2480, 2480, 2480,
     2480, 2480, 2480, 2480, 2480, 2480, 2480, 2480, 2480, 2480, 2480, 2480,
     2480, 2480, 2480, 2480, 2480, 2480, 2480, 2480, 2480, 2484, 2484, 2484,
     2484, 2484, 2485, 2492, 2492, 2492, 2492, 2496, 2496, 2496, 2496, 2496,
     2497, 2506, 2512, 2520, 2524, 2532, 2540, 2548, 2548, 2556, 2556, 2564,
     2572, 2584, 2584, 2584, 2584, 2584, 2584, 2584, 2584, 2584, 2584, 2584,
     2584, 2584, 2584, 2584, 2584, 2584, 2584, 2584, 2584, 2584, 2584, 2584,
     2584, 2584, 2584, 2592, 2600, 2608, 2616, 2624, 2632, 2644, 2644, 2644,
     2644, 2644, 2644, 2644, 2644, 2644, 2644, 2644, 2644, 2644, 2644, 2644,
     2644, 2644, 2644, 2644, 2644, 2644, 2644, 2644, 2644, 2644, 2644, 2652,
     2660, 2668, 2676, 2684, 2685, 2689, 2693, 2698, 2706, 2713, 2717, 2720,
     2720, 2720, 2720, 2720, 2720, 2720, 2720, 2720, 2720, 2720, 2720, 2720,
     2720, 2720, 2720, 2720, 2720, 2720, 2720, 2720, 2720, 2720, 2720, 2720,
     2721, 2725, 2729, 2732, 2733, 2737, 2740, 2740, 2740, 2741, 2744, 2744,
     2744, 2744, 2744, 2744, 2744},
    {2744, 2752, 2760, 2760, 2768, 2768, 2768, 2768, 2776, 2776, 2776, 2776,
     2776, 2784, 2792, 2800, 2800, 2800, 2800, 2800, 2800, 2800, 2800, 2800,
     2800, 2800, 2808, 2808, 2808, 2808, 2808, 2808, 2808, 2808, 2808, 2808,
     2808, 2808, 2808, 2808, 2808, 2808, 2808, 2808, 2808, 2808, 2808, 2808,
     2808, 2808, 2808, 2808, 2808, 2808, 2808, 2808, 2808, 2808, 2816, 2816,
     2816, 2816, 2816, 2816, 2816, 2816, 2816, 2816, 2816, 2816, 2816, 2816,
     2816, 2816, 2816, 2816, 2816, 2816, 2816, 2816, 2816, 2824, 2832, 2832,
     2840, 2840, 2840, 2840, 2848, 2848, 2848, 2848, 2848, 2856, 2864, 2872,
     2872, 2872, 2872, 2872, 2872, 2872, 2872, 2872, 2872, 2872, 2872, 2872,
     2872, 2872, 2872, 2872, 2872, 2872, 2872, 2872, 2872, 2872, 2872, 2880,
     2888, 2888, 2888, 2888, 2888, 2888, 2888, 2888, 2888, 2888, 2888, 2888,
     2888, 2888, 2888, 2888, 2888, 2888, 2888, 2888, 2888, 2888, 2888, 2888,
     2888, 2888, 2888, 2888, 2888, 2888, 2888, 2888, 2888, 2888, 2888, 2888,
     2888, 2888, 2888, 2888, 2888, 2888, 2888, 2888, 2888, 2888, 2888, 2888,
     2888, 2888, 2888, 2888, 2888, 2888, 2888, 2888, 2888, 2888, 2888, 2888,
     2888, 2888, 2888, 2888, 2888, 2888, 2888, 2888, 2888, 2888, 2888, 2888,
     2888, 2888, 2896, 2904, 2904, 2904, 2904, 2904, 2904, 2904, 2904, 2904,
     2904, 2904, 2904, 2904, 2904, 2912, 2920, 2928, 2936, 2936, 2936, 2944,
     2952, 2952, 2952, 2960, 2968, 2976, 2984, 2992, 3000, 3000, 3000, 3008,
     3016, 3024, 3032, 3040, 3048, 3048, 3048, 3056, 3064, 3072, 3080, 3088,
     3096, 3104, 3112, 3120, 3128, 3136, 3144, 3144, 3144, 3152, 3160, 3160,
     3160, 3160, 3160, 3160, 3160},
    {3160, 3160, 3160, 3160, 3160, 3160, 3160, 3160, 3160, 3160, 3160, 3160,
     3160, 3160, 3160, 3160, 3160, 3160, 3160, 3160, 3160, 3160, 3160, 3160,
     3160, 3160, 3160, 3160, 3160, 3160, 3160, 3160, 3160, 3160, 3160, 3160,
     3160, 3160, 3160, 3160, 3160, 3160, 3160, 3160, 3160, 3160, 3160, 3160,
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     34200, 34200, 34200, 34200, 34200, 34200, 34200, 34200, 34200, 34200,
     34200, 34200, 34200, 34200, 34200, 34200, 34200, 34200, 34200, 34200,
     34200, 34200, 34200, 34200, 34200, 34200, 34200, 34200, 34200, 34200,
     34200, 34200, 34200, 34200, 34200, 34200, 34200, 34200, 34200, 34200,
     34200, 34200, 34200, 34200, 34200, 34200, 34200, 34200, 34200, 34200,
     34200, 34200, 34200, 34200, 34200, 34200, 34200},
    {34200, 34200, 34200, 34200, 34200, 34200, 34200, 34200, 34200, 34200,
     34200, 34200, 34200, 34200, 34200, 34200, 34200, 34200, 34200, 34200,
     34200, 34200, 34200, 34200, 34200, 34200, 34200, 34200, 34200, 34200,
     34200, 34200, 34200, 34200, 34200, 34200, 34200, 34200, 34200, 34200,
     34200, 34200, 34200, 34200, 34200, 34200, 34200, 34200, 34200, 34200,
     34200, 34200, 34200, 34200, 34200, 34200, 34200, 34200, 34200, 34200,
     34200, 34200, 34200, 34200, 34200, 34200, 34200, 34200, 34200, 34200,
     34200, 34200, 34200, 34200, 34200, 34200, 34200, 34200, 34200, 34200,
     34200, 34200, 34200, 34200, 34200, 34200, 34200, 34200, 34200, 34200,
     34200, 34200, 34200, 34200, 34200, 34200, 34200, 34200, 34200, 34200,
     34200, 34200, 34200, 34200, 34200, 34200, 34200, 34200, 34200, 34200,
     34200, 34200, 34200, 34200, 34200, 34200, 34200, 34200, 34200, 34200,
     34200, 34200, 34200, 34200, 34200, 34200, 34200, 34200, 34200, 34200,
     34200, 34200, 34200, 34200, 34200, 34200, 34200, 34200, 34200, 34200,
     34200, 34200, 34200, 34200, 34200, 34200, 34200, 34200, 34200, 34200,
     34200, 34200, 34200, 34200, 34200, 34200, 34200, 34200, 34200, 34200,
     34200, 34200, 34200, 34200, 34200, 34200, 34200, 34200, 34200, 34200,
     34200, 34200, 34200, 34200, 34200, 34200, 34200, 34200, 34200, 34200,
     34200, 34200, 34200, 34200, 34200, 34200, 34200, 34200, 34200, 34200,
     34200, 34200, 34200, 34200, 34200, 34200, 34200, 34200, 34200, 34200,
     34200, 34200, 34200, 34200, 34200, 34200, 34200, 34200, 34200, 34200,
     34200, 34200, 34200, 34200, 34200, 34200, 34200, 34200, 34200, 34200,
     34200, 34200, 34200, 34200, 34200, 34200, 34200, 34200, 34200, 34200,
     34200, 34200, 34200, 34200, 34200, 34200, 34200, 34200, 34200, 34200,
     34201, 34205, 34209, 34213, 34217, 34221, 34225, 34229, 34233, 34237,
     34240, 34240, 34240, 34240, 34240, 34240, 34240},
    {34240, 34244, 34248, 34252, 34256, 34260, 34264, 34268, 34272, 34276,
     34280, 34284, 34288, 34292, 34296, 34300, 34304, 34308, 34312, 34316,
     34320, 34324, 34328, 34332, 34336, 34340, 34344, 34348, 34352, 34356,
     34360, 34364, 34368, 34372, 34376, 34380, 34384, 34388, 34392, 34396,
     34400, 34404, 34408, 34412, 34416, 34420, 34424, 34428, 34432, 34436,
     34440, 34444, 34448, 34452, 34456, 34460, 34464, 34468, 34472, 34476,
     34480, 34484, 34488, 34492, 34496, 34500, 34504, 34508, 34512, 34516,
     34520, 34524, 34528, 34532, 34536, 34540, 34544, 34548, 34552, 34556,
     34560, 34564, 34568, 34572, 34576, 34580, 34584, 34588, 34592, 34596,
     34600, 34604, 34608, 34612, 34616, 34620, 34624, 34628, 34632, 34636,
     34640, 34644, 34648, 34652, 34656, 34660, 34664, 34668, 34672, 34676,
     34680, 34684, 34688, 34692, 34696, 34700, 34704, 34708, 34712, 34716,
     34720, 34724, 34728, 34732, 34736, 34740, 34744, 34748, 34752, 34756,
     34760, 34764, 34768, 34772, 34776, 34780, 34784, 34788, 34792, 34796,
     34800, 34804, 34808, 34812, 34816, 34820, 34824, 34828, 34832, 34836,
     34840, 34844, 34848, 34852, 34856, 34860, 34864, 34868, 34872, 34876,
     34880, 34884, 34888, 34892, 34896, 34900, 34904, 34908, 34912, 34916,
     34920, 34924, 34928, 34932, 34936, 34940, 34944, 34948, 34952, 34956,
     34960, 34964, 34968, 34972, 34976, 34980, 34984, 34988, 34992, 34996,
     35000, 35004, 35008, 35012, 35016, 35020, 35024, 35028, 35032, 35036,
     35040, 35044, 35048, 35052, 35056, 35060, 35064, 35068, 35072, 35076,
     35080, 35084, 35088, 35092, 35096, 35100, 35104, 35108, 35112, 35116,
     35120, 35124, 35128, 35132, 35136, 35140, 35144, 35148, 35152, 35156,
     35160, 35164, 35168, 35172, 35176, 35180, 35184, 35188, 35192, 35196,
     35200, 35204, 35208, 35212, 35216, 35220, 35224, 35228, 35232, 35236,
     35240, 35244, 35248, 35252, 35256, 35260, 35264},
    {35264, 35268, 35272, 35276, 35280, 35284, 35288, 35292, 35296, 35300,
     35304, 35308, 35312, 35316, 35320, 35324, 35328, 35332, 35336, 35340,
     35344, 35348, 35352, 35356, 35360, 35364, 35368, 35372, 35376, 35380,
     35384, 35388, 35392, 35396, 35400, 35404, 35408, 35412, 35416, 35420,
     35424, 35428, 35432, 35436, 35440, 35444, 35448, 35452, 35456, 35460,
     35464, 35468, 35472, 35476, 35480, 35484, 35488, 35492, 35496, 35500,
     35504, 35508, 35512, 35516, 35520, 35524, 35528, 35532, 35536, 35540,
     35544, 35548, 35552, 35556, 35560, 35564, 35568, 35572, 35576, 35580,
     35584, 35588, 35592, 35596, 35600, 35604, 35608, 35612, 35616, 35620,
     35624, 35628, 35632, 35636, 35640, 35644, 35648, 35652, 35656, 35660,
     35664, 35668, 35672, 35676, 35680, 35684, 35688, 35692, 35696, 35700,
     35704, 35708, 35712, 35716, 35720, 35724, 35728, 35732, 35736, 35740,
     35744, 35748, 35752, 35756, 35760, 35764, 35768, 35772, 35776, 35780,
     35784, 35788, 35792, 35796, 35800, 35804, 35808, 35812, 35816, 35820,
     35824, 35828, 35832, 35836, 35840, 35844, 35848, 35852, 35856, 35860,
     35864, 35868, 35872, 35876, 35880, 35884, 35888, 35892, 35896, 35900,
     35904, 35908, 35912, 35916, 35920, 35924, 35928, 35932, 35936, 35940,
     35944, 35948, 35952, 35956, 35960, 35964, 35968, 35972, 35976, 35980,
     35984, 35988, 35992, 35996, 36000, 36004, 36008, 36012, 36016, 36020,
     36024, 36028, 36032, 36036, 36040, 36044, 36048, 36052, 36056, 36060,
     36064, 36068, 36072, 36076, 36080, 36084, 36088, 36092, 36096, 36100,
     36104, 36108, 36112, 36116, 36120, 36124, 36128, 36132, 36136, 36140,
     36144, 36148, 36152, 36156, 36160, 36164, 36168, 36172, 36176, 36180,
     36184, 36188, 36192, 36196, 36200, 36204, 36208, 36212, 36216, 36220,
     36224, 36228, 36232, 36236, 36240, 36244, 36248, 36252, 36256, 36260,
     36264, 36268, 36272, 36276, 36280, 36284, 36288},
    {36288, 36292, 36296, 36300, 36304, 36308, 36312, 36316, 36320, 36324,
     36328, 36332, 36336, 36340, 36344, 36348, 36352, 36356, 36360, 36364,
     36368, 36372, 36376, 36380, 36384, 36388, 36392, 36396, 36400, 36404,
     36408, 36408, 36408, 36408, 36408, 36408, 36408, 36408, 36408, 36408,
     36408, 36408, 36408, 36408, 36408, 36408, 36408, 36408, 36408, 36408,
     36408, 36408, 36408, 36408, 36408, 36408, 36408, 36408, 36408, 36408,
     36408, 36408, 36408, 36408, 36408, 36408, 36408, 36408, 36408, 36408,
     36408, 36408, 36408, 36408, 36408, 36408, 36408, 36408, 36408, 36408,
     36408, 36408, 36408, 36408, 36408, 36408, 36408, 36408, 36408, 36408,
     36408, 36408, 36408, 36408, 36408, 36408, 36408, 36408, 36408, 36408,
     36408, 36408, 36408, 36408, 36408, 36408, 36408, 36408, 36408, 36408,
     36408, 36408, 36408, 36408, 36408, 36408, 36408, 36408, 36408, 36408,
     36408, 36408, 36408, 36408, 36408, 36408, 36408, 36408, 36408, 36408,
     36408, 36408, 36408, 36408, 36408, 36408, 36408, 36408, 36408, 36408,
     36408, 36408, 36408, 36408, 36408, 36408, 36408, 36408, 36408, 36408,
     36408, 36408, 36408, 36408, 36408, 36408, 36408, 36408, 36408, 36408,
     36408, 36408, 36408, 36408, 36408, 36408, 36408, 36408, 36408, 36408,
     36408, 36408, 36408, 36408, 36408, 36408, 36408, 36408, 36408, 36408,
     36408, 36408, 36408, 36408, 36408, 36408, 36408, 36408, 36408, 36408,
     36408, 36408, 36408, 36408, 36408, 36408, 36408, 36408, 36408, 36408,
     36408, 36408, 36408, 36408, 36408, 36408, 36408, 36408, 36408, 36408,
     36408, 36408, 36408, 36408, 36408, 36408, 36408, 36408, 36408, 36408,
     36408, 36408, 36408, 36408, 36408, 36408, 36408, 36408, 36408, 36408,
     36408, 36408, 36408, 36408, 36408, 36408, 36408, 36408, 36408, 36408,
     36408, 36408, 36408, 36408, 36408, 36408, 36408, 36408, 36408, 36408,
     36408, 36408, 36408, 36408, 36408, 36408, 36408}};
const char32_t uninorms::decomposition_data[] = {
    0,      32,     32,     776,    97,     32,     772,    50,     51,
    32,     769,    956,    32,     807,    49,     111,    49,     8260,
    52,     49,     8260,   50,     51,     8260,   52,     65,     768,
    65,     769,    65,     770,    65,     771,    65,     776,    65,
    778,    67,     807,    69,     768,    69,     769,    69,     770,
    69,     776,    73,     768,    73,     769,    73,     770,    73,
    776,    78,     771,    79,     768,    79,     769,    79,     770,
    79,     771,    79,     776,    85,     768,    85,     769,    85,
    770,    85,     776,    89,     769,    97,     768,    97,     769,
    97,     770,    97,     771,    97,     776,    97,     778,    99,
    807,    101,    768,    101,    769,    101,    770,    101,    776,
    105,    768,    105,    769,    105,    770,    105,    776,    110,
    771,    111,    768,    111,    769,    111,    770,    111,    771,
    111,    776,    117,    768,    117,    769,    117,    770,    117,
    776,    121,    769,    121,    776,    65,     772,    97,     772,
    65,     774,    97,     774,    65,     808,    97,     808,    67,
    769,    99,     769,    67,     770,    99,     770,    67,     775,
    99,     775,    67,     780,    99,     780,    68,     780,    100,
    780,    69,     772,    101,    772,    69,     774,    101,    774,
    69,     775,    101,    775,    69,     808,    101,    808,    69,
    780,    101,    780,    71,     770,    103,    770,    71,     774,
    103,    774,    71,     775,    103,    775,    71,     807,    103,
    807,    72,     770,    104,    770,    73,     771,    105,    771,
    73,     772,    105,    772,    73,     774,    105,    774,    73,
    808,    105,    808,    73,     775,    73,     74,     105,    106,
    74,     770,    106,    770,    75,     807,    107,    807,    76,
    769,    108,    769,    76,     807,    108,    807,    76,     780,
    108,    780,    76,     183,    108,    183,    78,     769,    110,
    769,    78,     807,    110,    807,    78,     780,    110,    780,
    700,    110,    79,     772,    111,    772,    79,     774,    111,
    774,    79,     779,    111,    779,    82,     769,    114,    769,
    82,     807,    114,    807,    82,     780,    114,    780,    83,
    769,    115,    769,    83,     770,    115,    770,    83,     807,
    115,    807,    83,     780,    115,    780,    84,     807,    116,
    807,    84,     780,    116,    780,    85,     771,    117,    771,
    85,     772,    117,    772,    85,     774,    117,    774,    85,
    778,    117,    778,    85,     779,    117,    779,    85,     808,
    117,    808,    87,     770,    119,    770,    89,     770,    121,
    770,    89,     776,    90,     769,    122,    769,    90,     775,
    122,    775,    90,     780,    122,    780,    115,    79,     795,
    111,    795,    85,     795,    117,    795,    68,     90,     780,
    68,     122,    780,    100,    122,    780,    76,     74,     76,
    106,    108,    106,    78,     74,     78,     106,    110,    106,
    65,     780,    97,     780,    73,     780,    105,    780,    79,
    780,    111,    780,    85,     780,    117,    780,    85,     776,
    772,    117,    776,    772,    85,     776,    769,    117,    776,
    769,    85,     776,    780,    117,    776,    780,    85,     776,
    768,    117,    776,    768,    65,     776,    772,    97,     776,
    772,    65,     775,    772,    97,     775,    772,    198,    772,
    230,    772,    71,     780,    103,    780,    75,     780,    107,
    780,    79,     808,    111,    808,    79,     808,    772,    111,
    808,    772,    439,    780,    658,    780,    106,    780,    68,
    90,     68,     122,    100,    122,    71,     769,    103,    769,
    78,     768,    110,    768,    65,     778,    769,    97,     778,
    769,    198,    769,    230,    769,    216,    769,    248,    769,
    65,     783,    97,     783,    65,     785,    97,     785,    69,
    783,    101,    783,    69,     785,    101,    785,    73,     783,
    105,    783,    73,     785,    105,    785,    79,     783,    111,
    783,    79,     785,    111,    785,    82,     783,    114,    783,
    82,     785,    114,    785,    85,     783,    117,    783,    85,
    785,    117,    785,    83,     806,    115,    806,    84,     806,
    116,    806,    72,     780,    104,    780,    65,     775,    97,
    775,    69,     807,    101,    807,    79,     776,    772,    111,
    776,    772,    79,     771,    772,    111,    771,    772,    79,
    775,    111,    775,    79,     775,    772,    111,    775,    772,
    89,     772,    121,    772,    104,    614,    106,    114,    633,
    635,    641,    119,    121,    32,     774,    32,     775,    32,
    778,    32,     808,    32,     771,    32,     779,    611,    108,
    115,    120,    661,    768,    769,    787,    776,    769,    697,
    32,     837,    59,     32,     769,    168,    769,    913,    769,
    183,    917,    769,    919,    769,    921,    769,    927,    769,
    933,    769,    937,    769,    953,    776,    769,    921,    776,
    933,    776,    945,    769,    949,    769,    951,    769,    953,
    769,    965,    776,    769,    953,    776,    965,    776,    959,
    769,    965,    769,    969,    769,    946,    952,    933,    978,
    769,    978,    776,    966,    960,    954,    961,    962,    920,
    949,    931,    1045,   768,    1045,   776,    1043,   769,    1030,
    776,    1050,   769,    1048,   768,    1059,   774,    1048,   774,
    1080,   774,    1077,   768,    1077,   776,    1075,   769,    1110,
    776,    1082,   769,    1080,   768,    1091,   774,    1140,   783,
    1141,   783,    1046,   774,    1078,   774,    1040,   774,    1072,
    774,    1040,   776,    1072,   776,    1045,   774,    1077,   774,
    1240,   776,    1241,   776,    1046,   776,    1078,   776,    1047,
    776,    1079,   776,    1048,   772,    1080,   772,    1048,   776,
    1080,   776,    1054,   776,    1086,   776,    1256,   776,    1257,
    776,    1069,   776,    1101,   776,    1059,   772,    1091,   772,
    1059,   776,    1091,   776,    1059,   779,    1091,   779,    1063,
    776,    1095,   776,    1067,   776,    1099,   776,    1381,   1410,
    1575,   1619,   1575,   1620,   1608,   1620,   1575,   1621,   1610,
    1620,   1575,   1652,   1608,   1652,   1735,   1652,   1610,   1652,
    1749,   1620,   1729,   1620,   1746,   1620,   2344,   2364,   2352,
    2364,   2355,   2364,   2325,   2364,   2326,   2364,   2327,   2364,
    2332,   2364,   2337,   2364,   2338,   2364,   2347,   2364,   2351,
    2364,   2503,   2494,   2503,   2519,   2465,   2492,   2466,   2492,
    2479,   2492,   2610,   2620,   2616,   2620,   2582,   2620,   2583,
    2620,   2588,   2620,   2603,   2620,   2887,   2902,   2887,   2878,
    2887,   2903,   2849,   2876,   2850,   2876,   2962,   3031,   3014,
    3006,   3015,   3006,   3014,   3031,   3142,   3158,   3263,   3285,
    3270,   3285,   3270,   3286,   3270,   3266,   3270,   3266,   3285,
    3398,   3390,   3399,   3390,   3398,   3415,   3545,   3530,   3545,
    3535,   3545,   3535,   3530,   3545,   3551,   3661,   3634,   3789,
    3762,   3755,   3737,   3755,   3745,   3851,   3906,   4023,   3916,
    4023,   3921,   4023,   3926,   4023,   3931,   4023,   3904,   4021,
    3953,   3954,   3953,   3956,   4018,   3968,   4018,   3953,   3968,
    4019,   3968,   4019,   3953,   3968,   3953,   3968,   3986,   4023,
    3996,   4023,   4001,   4023,   4006,   4023,   4011,   4023,   3984,
    4021,   4133,   4142,   4316,   6917,   6965,   6919,   6965,   6921,
    6965,   6923,   6965,   6925,   6965,   6929,   6965,   6970,   6965,
    6972,   6965,   6974,   6965,   6975,   6965,   6978,   6965,   65,
    198,    66,     68,     69,     398,    71,     72,     73,     74,
    75,     76,     77,     78,     79,     546,    80,     82,     84,
    85,     87,     97,     592,    593,    7426,   98,     100,    101,
    601,    603,    604,    103,    107,    109,    331,    111,    596,
    7446,   7447,   112,    116,    117,    7453,   623,    118,    7461,
    946,    947,    948,    966,    967,    105,    114,    117,    118,
    946,    947,    961,    966,    967,    1085,   594,    99,     597,
    240,    604,    102,    607,    609,    613,    616,    617,    618,
    7547,   669,    621,    7557,   671,    625,    624,    626,    627,
    628,    629,    632,    642,    643,    427,    649,    650,    7452,
    651,    652,    122,    656,    657,    658,    952,    65,     805,
    97,     805,    66,     775,    98,     775,    66,     803,    98,
    803,    66,     817,    98,     817,    67,     807,    769,    99,
    807,    769,    68,     775,    100,    775,    68,     803,    100,
    803,    68,     817,    100,    817,    68,     807,    100,    807,
    68,     813,    100,    813,    69,     772,    768,    101,    772,
    768,    69,     772,    769,    101,    772,    769,    69,     813,
    101,    813,    69,     816,    101,    816,    69,     807,    774,
    101,    807,    774,    70,     775,    102,    775,    71,     772,
    103,    772,    72,     775,    104,    775,    72,     803,    104,
    803,    72,     776,    104,    776,    72,     807,    104,    807,
    72,     814,    104,    814,    73,     816,    105,    816,    73,
    776,    769,    105,    776,    769,    75,     769,    107,    769,
    75,     803,    107,    803,    75,     817,    107,    817,    76,
    803,    108,    803,    76,     803,    772,    108,    803,    772,
    76,     817,    108,    817,    76,     813,    108,    813,    77,
    769,    109,    769,    77,     775,    109,    775,    77,     803,
    109,    803,    78,     775,    110,    775,    78,     803,    110,
    803,    78,     817,    110,    817,    78,     813,    110,    813,
    79,     771,    769,    111,    771,    769,    79,     771,    776,
    111,    771,    776,    79,     772,    768,    111,    772,    768,
    79,     772,    769,    111,    772,    769,    80,     769,    112,
    769,    80,     775,    112,    775,    82,     775,    114,    775,
    82,     803,    114,    803,    82,     803,    772,    114,    803,
    772,    82,     817,    114,    817,    83,     775,    115,    775,
    83,     803,    115,    803,    83,     769,    775,    115,    769,
    775,    83,     780,    775,    115,    780,    775,    83,     803,
    775,    115,    803,    775,    84,     775,    116,    775,    84,
    803,    116,    803,    84,     817,    116,    817,    84,     813,
    116,    813,    85,     804,    117,    804,    85,     816,    117,
    816,    85,     813,    117,    813,    85,     771,    769,    117,
    771,    769,    85,     772,    776,    117,    772,    776,    86,
    771,    118,    771,    86,     803,    118,    803,    87,     768,
    119,    768,    87,     769,    119,    769,    87,     776,    119,
    776,    87,     775,    119,    775,    87,     803,    119,    803,
    88,     775,    120,    775,    88,     776,    120,    776,    89,
    775,    121,    775,    90,     770,    122,    770,    90,     803,
    122,    803,    90,     817,    122,    817,    104,    817,    116,
    776,    119,    778,    121,    778,    97,     702,    383,    775,
    65,     803,    97,     803,    65,     777,    97,     777,    65,
    770,    769,    97,     770,    769,    65,     770,    768,    97,
    770,    768,    65,     770,    777,    97,     770,    777,    65,
    770,    771,    97,     770,    771,    65,     803,    770,    97,
    803,    770,    65,     774,    769,    97,     774,    769,    65,
    774,    768,    97,     774,    768,    65,     774,    777,    97,
    774,    777,    65,     774,    771,    97,     774,    771,    65,
    803,    774,    97,     803,    774,    69,     803,    101,    803,
    69,     777,    101,    777,    69,     771,    101,    771,    69,
    770,    769,    101,    770,    769,    69,     770,    768,    101,
    770,    768,    69,     770,    777,    101,    770,    777,    69,
    770,    771,    101,    770,    771,    69,     803,    770,    101,
    803,    770,    73,     777,    105,    777,    73,     803,    105,
    803,    79,     803,    111,    803,    79,     777,    111,    777,
    79,     770,    769,    111,    770,    769,    79,     770,    768,
    111,    770,    768,    79,     770,    777,    111,    770,    777,
    79,     770,    771,    111,    770,    771,    79,     803,    770,
    111,    803,    770,    79,     795,    769,    111,    795,    769,
    79,     795,    768,    111,    795,    768,    79,     795,    777,
    111,    795,    777,    79,     795,    771,    111,    795,    771,
    79,     795,    803,    111,    795,    803,    85,     803,    117,
    803,    85,     777,    117,    777,    85,     795,    769,    117,
    795,    769,    85,     795,    768,    117,    795,    768,    85,
    795,    777,    117,    795,    777,    85,     795,    771,    117,
    795,    771,    85,     795,    803,    117,    795,    803,    89,
    768,    121,    768,    89,     803,    121,    803,    89,     777,
    121,    777,    89,     771,    121,    771,    945,    787,    945,
    788,    945,    787,    768,    945,    788,    768,    945,    787,
    769,    945,    788,    769,    945,    787,    834,    945,    788,
    834,    913,    787,    913,    788,    913,    787,    768,    913,
    788,    768,    913,    787,    769,    913,    788,    769,    913,
    787,    834,    913,    788,    834,    949,    787,    949,    788,
    949,    787,    768,    949,    788,    768,    949,    787,    769,
    949,    788,    769,    917,    787,    917,    788,    917,    787,
    768,    917,    788,    768,    917,    787,    769,    917,    788,
    769,    951,    787,    951,    788,    951,    787,    768,    951,
    788,    768,    951,    787,    769,    951,    788,    769,    951,
    787,    834,    951,    788,    834,    919,    787,    919,    788,
    919,    787,    768,    919,    788,    768,    919,    787,    769,
    919,    788,    769,    919,    787,    834,    919,    788,    834,
    953,    787,    953,    788,    953,    787,    768,    953,    788,
    768,    953,    787,    769,    953,    788,    769,    953,    787,
    834,    953,    788,    834,    921,    787,    921,    788,    921,
    787,    768,    921,    788,    768,    921,    787,    769,    921,
    788,    769,    921,    787,    834,    921,    788,    834,    959,
    787,    959,    788,    959,    787,    768,    959,    788,    768,
    959,    787,    769,    959,    788,    769,    927,    787,    927,
    788,    927,    787,    768,    927,    788,    768,    927,    787,
    769,    927,    788,    769,    965,    787,    965,    788,    965,
    787,    768,    965,    788,    768,    965,    787,    769,    965,
    788,    769,    965,    787,    834,    965,    788,    834,    933,
    788,    933,    788,    768,    933,    788,    769,    933,    788,
    834,    969,    787,    969,    788,    969,    787,    768,    969,
    788,    768,    969,    787,    769,    969,    788,    769,    969,
    787,    834,    969,    788,    834,    937,    787,    937,    788,
    937,    787,    768,    937,    788,    768,    937,    787,    769,
    937,    788,    769,    937,    787,    834,    937,    788,    834,
    945,    768,    945,    769,    949,    768,    949,    769,    951,
    768,    951,    769,    953,    768,    953,    769,    959,    768,
    959,    769,    965,    768,    965,    769,    969,    768,    969,
    769,    945,    787,    837,    945,    788,    837,    945,    787,
    768,    837,    945,    788,    768,    837,    945,    787,    769,
    837,    945,    788,    769,    837,    945,    787,    834,    837,
    945,    788,    834,    837,    913,    787,    837,    913,    788,
    837,    913,    787,    768,    837,    913,    788,    768,    837,
    913,    787,    769,    837,    913,    788,    769,    837,    913,
    787,    834,    837,    913,    788,    834,    837,    951,    787,
    837,    951,    788,    837,    951,    787,    768,    837,    951,
    788,    768,    837,    951,    787,    769,    837,    951,    788,
    769,    837,    951,    787,    834,    837,    951,    788,    834,
    837,    919,    787,    837,    919,    788,    837,    919,    787,
    768,    837,    919,    788,    768,    837,    919,    787,    769,
    837,    919,    788,    769,    837,    919,    787,    834,    837,
    919,    788,    834,    837,    969,    787,    837,    969,    788,
    837,    969,    787,    768,    837,    969,    788,    768,    837,
    969,    787,    769,    837,    969,    788,    769,    837,    969,
    787,    834,    837,    969,    788,    834,    837,    937,    787,
    837,    937,    788,    837,    937,    787,    768,    837,    937,
    788,    768,    837,    937,    787,    769,    837,    937,    788,
    769,    837,    937,    787,    834,    837,    937,    788,    834,
    837,    945,    774,    945,    772,    945,    768,    837,    945,
    837,    945,    769,    837,    945,    834,    945,    834,    837,
    913,    774,    913,    772,    913,    768,    913,    769,    913,
    837,    32,     787,    953,    32,     787,    32,     834,    168,
    834,    951,    768,    837,    951,    837,    951,    769,    837,
    951,    834,    951,    834,    837,    917,    768,    917,    769,
    919,    768,    919,    769,    919,    837,    8127,   768,    8127,
    769,    8127,   834,    953,    774,    953,    772,    953,    776,
    768,    953,    776,    769,    953,    834,    953,    776,    834,
    921,    774,    921,    772,    921,    768,    921,    769,    8190,
    768,    8190,   769,    8190,   834,    965,    774,    965,    772,
    965,    776,    768,    965,    776,    769,    961,    787,    961,
    788,    965,    834,    965,    776,    834,    933,    774,    933,
    772,    933,    768,    933,    769,    929,    788,    168,    768,
    168,    769,    96,     969,    768,    837,    969,    837,    969,
    769,    837,    969,    834,    969,    834,    837,    927,    768,
    927,    769,    937,    768,    937,    769,    937,    837,    180,
    32,     788,    8194,   8195,   32,     32,     32,     32,     32,
    32,     32,     32,     32,     8208,   32,     819,    46,     46,
    46,     46,     46,     46,     32,     8242,   8242,   8242,   8242,
    8242,   8245,   8245,   8245,   8245,   8245,   33,     33,     32,
    773,    63,     63,     63,     33,     33,     63,     8242,   8242,
    8242,   8242,   32,     48,     105,    52,     53,     54,     55,
    56,     57,     43,     8722,   61,     40,     41,     110,    48,
    49,     50,     51,     52,     53,     54,     55,     56,     57,
    43,     8722,   61,     40,     41,     97,     101,    111,    120,
    601,    104,    107,    108,    109,    110,    112,    115,    116,
    82,     115,    97,     47,     99,     97,     47,     115,    67,
    176,    67,     99,     47,     111,    99,     47,     117,    400,
    176,    70,     103,    72,     72,     72,     104,    295,    73,
    73,     76,     108,    78,     78,     111,    80,     81,     82,
    82,     82,     83,     77,     84,     69,     76,     84,     77,
    90,     937,    90,     75,     65,     778,    66,     67,     101,
    69,     70,     77,     111,    1488,   1489,   1490,   1491,   105,
    70,     65,     88,     960,    947,    915,    928,    8721,   68,
    100,    101,    105,    106,    49,     8260,   55,     49,     8260,
    57,     49,     8260,   49,     48,     49,     8260,   51,     50,
    8260,   51,     49,     8260,   53,     50,     8260,   53,     51,
    8260,   53,     52,     8260,   53,     49,     8260,   54,     53,
    8260,   54,     49,     8260,   56,     51,     8260,   56,     53,
    8260,   56,     55,     8260,   56,     49,     8260,   73,     73,
    73,     73,     73,     73,     73,     86,     86,     86,     73,
    86,     73,     73,     86,     73,     73,     73,     73,     88,
    88,     88,     73,     88,     73,     73,     76,     67,     68,
    77,     105,    105,    105,    105,    105,    105,    105,    118,
    118,    118,    105,    118,    105,    105,    118,    105,    105,
    105,    105,    120,    120,    120,    105,    120,    105,    105,
    108,    99,     100,    109,    48,     8260,   51,     8592,   824,
    8594,   824,    8596,   824,    8656,   824,    8660,   824,    8658,
    824,    8707,   824,    8712,   824,    8715,   824,    8739,   824,
    8741,   824,    8747,   8747,   8747,   8747,   8747,   8750,   8750,
    8750,   8750,   8750,   8764,   824,    8771,   824,    8773,   824,
    8776,   824,    61,     824,    8801,   824,    8781,   824,    60,
    824,    62,     824,    8804,   824,    8805,   824,    8818,   824,
    8819,   824,    8822,   824,    8823,   824,    8826,   824,    8827,
    824,    8834,   824,    8835,   824,    8838,   824,    8839,   824,
    8866,   824,    8872,   824,    8873,   824,    8875,   824,    8828,
    824,    8829,   824,    8849,   824,    8850,   824,    8882,   824,
    8883,   824,    8884,   824,    8885,   824,    12296,  12297,  49,
    50,     51,     52,     53,     54,     55,     56,     57,     49,
    48,     49,     49,     49,     50,     49,     51,     49,     52,
    49,     53,     49,     54,     49,     55,     49,     56,     49,
    57,     50,     48,     40,     49,     41,     40,     50,     41,
    40,     51,     41,     40,     52,     41,     40,     53,     41,
    40,     54,     41,     40,     55,     41,     40,     56,     41,
    40,     57,     41,     40,     49,     48,     41,     40,     49,
    49,     41,     40,     49,     50,     41,     40,     49,     51,
    41,     40,     49,     52,     41,     40,     49,     53,     41,
    40,     49,     54,     41,     40,     49,     55,     41,     40,
    49,     56,     41,     40,     49,     57,     41,     40,     50,
    48,     41,     49,     46,     50,     46,     51,     46,     52,
    46,     53,     46,     54,     46,     55,     46,     56,     46,
    57,     46,     49,     48,     46,     49,     49,     46,     49,
    50,     46,     49,     51,     46,     49,     52,     46,     49,
    53,     46,     49,     54,     46,     49,     55,     46,     49,
    56,     46,     49,     57,     46,     50,     48,     46,     40,
    97,     41,     40,     98,     41,     40,     99,     41,     40,
    100,    41,     40,     101,    41,     40,     102,    41,     40,
    103,    41,     40,     104,    41,     40,     105,    41,     40,
    106,    41,     40,     107,    41,     40,     108,    41,     40,
    109,    41,     40,     110,    41,     40,     111,    41,     40,
    112,    41,     40,     113,    41,     40,     114,    41,     40,
    115,    41,     40,     116,    41,     40,     117,    41,     40,
    118,    41,     40,     119,    41,     40,     120,    41,     40,
    121,    41,     40,     122,    41,     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,     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,    48,     8747,   8747,   8747,   8747,   58,
    58,     61,     61,     61,     61,     61,     61,     10973,  824,
    106,    86,     11617,  27597,  40863,  19968,  20008,  20022,  20031,
    20057,  20101,  20108,  20128,  20154,  20799,  20837,  20843,  20866,
    20886,  20907,  20960,  20981,  20992,  21147,  21241,  21269,  21274,
    21304,  21313,  21340,  21353,  21378,  21430,  21448,  21475,  22231,
    22303,  22763,  22786,  22794,  22805,  22823,  22899,  23376,  23424,
    23544,  23567,  23586,  23608,  23662,  23665,  24027,  24037,  24049,
    24062,  24178,  24186,  24191,  24308,  24318,  24331,  24339,  24400,
    24417,  24435,  24515,  25096,  25142,  25163,  25903,  25908,  25991,
    26007,  26020,  26041,  26080,  26085,  26352,  26376,  26408,  27424,
    27490,  27513,  27571,  27595,  27604,  27611,  27663,  27668,  27700,
    28779,  29226,  29238,  29243,  29247,  29255,  29273,  29275,  29356,
    29572,  29577,  29916,  29926,  29976,  29983,  29992,  30000,  30091,
    30098,  30326,  30333,  30382,  30399,  30446,  30683,  30690,  30707,
    31034,  31160,  31166,  31348,  31435,  31481,  31859,  31992,  32566,
    32593,  32650,  32701,  32769,  32780,  32786,  32819,  32895,  32905,
    33251,  33258,  33267,  33276,  33292,  33307,  33311,  33390,  33394,
    33400,  34381,  34411,  34880,  34892,  34915,  35198,  35211,  35282,
    35328,  35895,  35910,  35925,  35960,  35997,  36196,  36208,  36275,
    36523,  36554,  36763,  36784,  36789,  37009,  37193,  37318,  37324,
    37329,  38263,  38272,  38428,  38582,  38585,  38632,  38737,  38750,
    38754,  38761,  38859,  38893,  38899,  38913,  39080,  39131,  39135,
    39318,  39321,  39340,  39592,  39640,  39647,  39717,  39727,  39730,
    39740,  39770,  40165,  40565,  40575,  40613,  40635,  40643,  40653,
    40657,  40697,  40701,  40718,  40723,  40736,  40763,  40778,  40786,
    40845,  40860,  40864,  32,     12306,  21313,  21316,  21317,  12363,
    12441,  12365,  12441,  12367,  12441,  12369,  12441,  12371,  12441,
    12373,  12441,  12375,  12441,  12377,  12441,  12379,  12441,  12381,
    12441,  12383,  12441,  12385,  12441,  12388,  12441,  12390,  12441,
    12392,  12441,  12399,  12441,  12399,  12442,  12402,  12441,  12402,
    12442,  12405,  12441,  12405,  12442,  12408,  12441,  12408,  12442,
    12411,  12441,  12411,  12442,  12358,  12441,  32,     12441,  32,
    12442,  12445,  12441,  12424,  12426,  12459,  12441,  12461,  12441,
    12463,  12441,  12465,  12441,  12467,  12441,  12469,  12441,  12471,
    12441,  12473,  12441,  12475,  12441,  12477,  12441,  12479,  12441,
    12481,  12441,  12484,  12441,  12486,  12441,  12488,  12441,  12495,
    12441,  12495,  12442,  12498,  12441,  12498,  12442,  12501,  12441,
    12501,  12442,  12504,  12441,  12504,  12442,  12507,  12441,  12507,
    12442,  12454,  12441,  12527,  12441,  12528,  12441,  12529,  12441,
    12530,  12441,  12541,  12441,  12467,  12488,  4352,   4353,   4522,
    4354,   4524,   4525,   4355,   4356,   4357,   4528,   4529,   4530,
    4531,   4532,   4533,   4378,   4358,   4359,   4360,   4385,   4361,
    4362,   4363,   4364,   4365,   4366,   4367,   4368,   4369,   4370,
    4449,   4450,   4451,   4452,   4453,   4454,   4455,   4456,   4457,
    4458,   4459,   4460,   4461,   4462,   4463,   4464,   4465,   4466,
    4467,   4468,   4469,   4448,   4372,   4373,   4551,   4552,   4556,
    4558,   4563,   4567,   4569,   4380,   4573,   4575,   4381,   4382,
    4384,   4386,   4387,   4391,   4393,   4395,   4396,   4397,   4398,
    4399,   4402,   4406,   4416,   4423,   4428,   4593,   4594,   4439,
    4440,   4441,   4484,   4485,   4488,   4497,   4498,   4500,   4510,
    4513,   19968,  20108,  19977,  22235,  19978,  20013,  19979,  30002,
    20057,  19993,  19969,  22825,  22320,  20154,  40,     4352,   41,
    40,     4354,   41,     40,     4355,   41,     40,     4357,   41,
    40,     4358,   41,     40,     4359,   41,     40,     4361,   41,
    40,     4363,   41,     40,     4364,   41,     40,     4366,   41,
    40,     4367,   41,     40,     4368,   41,     40,     4369,   41,
    40,     4370,   41,     40,     4352,   4449,   41,     40,     4354,
    4449,   41,     40,     4355,   4449,   41,     40,     4357,   4449,
    41,     40,     4358,   4449,   41,     40,     4359,   4449,   41,
    40,     4361,   4449,   41,     40,     4363,   4449,   41,     40,
    4364,   4449,   41,     40,     4366,   4449,   41,     40,     4367,
    4449,   41,     40,     4368,   4449,   41,     40,     4369,   4449,
    41,     40,     4370,   4449,   41,     40,     4364,   4462,   41,
    40,     4363,   4457,   4364,   4453,   4523,   41,     40,     4363,
    4457,   4370,   4462,   41,     40,     19968,  41,     40,     20108,
    41,     40,     19977,  41,     40,     22235,  41,     40,     20116,
    41,     40,     20845,  41,     40,     19971,  41,     40,     20843,
    41,     40,     20061,  41,     40,     21313,  41,     40,     26376,
    41,     40,     28779,  41,     40,     27700,  41,     40,     26408,
    41,     40,     37329,  41,     40,     22303,  41,     40,     26085,
    41,     40,     26666,  41,     40,     26377,  41,     40,     31038,
    41,     40,     21517,  41,     40,     29305,  41,     40,     36001,
    41,     40,     31069,  41,     40,     21172,  41,     40,     20195,
    41,     40,     21628,  41,     40,     23398,  41,     40,     30435,
    41,     40,     20225,  41,     40,     36039,  41,     40,     21332,
    41,     40,     31085,  41,     40,     20241,  41,     40,     33258,
    41,     40,     33267,  41,     21839,  24188,  25991,  31631,  80,
    84,     69,     50,     49,     50,     50,     50,     51,     50,
    52,     50,     53,     50,     54,     50,     55,     50,     56,
    50,     57,     51,     48,     51,     49,     51,     50,     51,
    51,     51,     52,     51,     53,     4352,   4354,   4355,   4357,
    4358,   4359,   4361,   4363,   4364,   4366,   4367,   4368,   4369,
    4370,   4352,   4449,   4354,   4449,   4355,   4449,   4357,   4449,
    4358,   4449,   4359,   4449,   4361,   4449,   4363,   4449,   4364,
    4449,   4366,   4449,   4367,   4449,   4368,   4449,   4369,   4449,
    4370,   4449,   4366,   4449,   4535,   4352,   4457,   4364,   4462,
    4363,   4468,   4363,   4462,   19968,  20108,  19977,  22235,  20116,
    20845,  19971,  20843,  20061,  21313,  26376,  28779,  27700,  26408,
    37329,  22303,  26085,  26666,  26377,  31038,  21517,  29305,  36001,
    31069,  21172,  31192,  30007,  22899,  36969,  20778,  21360,  27880,
    38917,  20241,  20889,  27491,  19978,  20013,  19979,  24038,  21491,
    21307,  23447,  23398,  30435,  20225,  36039,  21332,  22812,  51,
    54,     51,     55,     51,     56,     51,     57,     52,     48,
    52,     49,     52,     50,     52,     51,     52,     52,     52,
    53,     52,     54,     52,     55,     52,     56,     52,     57,
    53,     48,     49,     26376,  50,     26376,  51,     26376,  52,
    26376,  53,     26376,  54,     26376,  55,     26376,  56,     26376,
    57,     26376,  49,     48,     26376,  49,     49,     26376,  49,
    50,     26376,  72,     103,    101,    114,    103,    101,    86,
    76,     84,     68,     12450,  12452,  12454,  12456,  12458,  12459,
    12461,  12463,  12465,  12467,  12469,  12471,  12473,  12475,  12477,
    12479,  12481,  12484,  12486,  12488,  12490,  12491,  12492,  12493,
    12494,  12495,  12498,  12501,  12504,  12507,  12510,  12511,  12512,
    12513,  12514,  12516,  12518,  12520,  12521,  12522,  12523,  12524,
    12525,  12527,  12528,  12529,  12530,  20196,  21644,  12450,  12495,
    12442,  12540,  12488,  12450,  12523,  12501,  12449,  12450,  12531,
    12504,  12442,  12450,  12450,  12540,  12523,  12452,  12491,  12531,
    12463,  12441,  12452,  12531,  12481,  12454,  12457,  12531,  12456,
    12473,  12463,  12540,  12488,  12441,  12456,  12540,  12459,  12540,
    12458,  12531,  12473,  12458,  12540,  12512,  12459,  12452,  12522,
    12459,  12521,  12483,  12488,  12459,  12525,  12522,  12540,  12459,
    12441,  12525,  12531,  12459,  12441,  12531,  12510,  12461,  12441,
    12459,  12441,  12461,  12441,  12491,  12540,  12461,  12517,  12522,
    12540,  12461,  12441,  12523,  12479,  12441,  12540,  12461,  12525,
    12461,  12525,  12463,  12441,  12521,  12512,  12461,  12525,  12513,
    12540,  12488,  12523,  12461,  12525,  12527,  12483,  12488,  12463,
    12441,  12521,  12512,  12463,  12441,  12521,  12512,  12488,  12531,
    12463,  12523,  12475,  12441,  12452,  12525,  12463,  12525,  12540,
    12493,  12465,  12540,  12473,  12467,  12523,  12490,  12467,  12540,
    12507,  12442,  12469,  12452,  12463,  12523,  12469,  12531,  12481,
    12540,  12512,  12471,  12522,  12531,  12463,  12441,  12475,  12531,
    12481,  12475,  12531,  12488,  12479,  12441,  12540,  12473,  12486,
    12441,  12471,  12488,  12441,  12523,  12488,  12531,  12490,  12494,
    12494,  12483,  12488,  12495,  12452,  12484,  12495,  12442,  12540,
    12475,  12531,  12488,  12495,  12442,  12540,  12484,  12495,  12441,
    12540,  12524,  12523,  12498,  12442,  12450,  12473,  12488,  12523,
    12498,  12442,  12463,  12523,  12498,  12442,  12467,  12498,  12441,
    12523,  12501,  12449,  12521,  12483,  12488,  12441,  12501,  12451,
    12540,  12488,  12501,  12441,  12483,  12471,  12455,  12523,  12501,
    12521,  12531,  12504,  12463,  12479,  12540,  12523,  12504,  12442,
    12477,  12504,  12442,  12491,  12498,  12504,  12523,  12484,  12504,
    12442,  12531,  12473,  12504,  12442,  12540,  12471,  12441,  12504,
    12441,  12540,  12479,  12507,  12442,  12452,  12531,  12488,  12507,
    12441,  12523,  12488,  12507,  12531,  12507,  12442,  12531,  12488,
    12441,  12507,  12540,  12523,  12507,  12540,  12531,  12510,  12452,
    12463,  12525,  12510,  12452,  12523,  12510,  12483,  12495,  12510,
    12523,  12463,  12510,  12531,  12471,  12519,  12531,  12511,  12463,
    12525,  12531,  12511,  12522,  12511,  12522,  12495,  12441,  12540,
    12523,  12513,  12459,  12441,  12513,  12459,  12441,  12488,  12531,
    12513,  12540,  12488,  12523,  12516,  12540,  12488,  12441,  12516,
    12540,  12523,  12518,  12450,  12531,  12522,  12483,  12488,  12523,
    12522,  12521,  12523,  12498,  12442,  12540,  12523,  12540,  12501,
    12441,  12523,  12524,  12512,  12524,  12531,  12488,  12465,  12441,
    12531,  12527,  12483,  12488,  48,     28857,  49,     28857,  50,
    28857,  51,     28857,  52,     28857,  53,     28857,  54,     28857,
    55,     28857,  56,     28857,  57,     28857,  49,     48,     28857,
    49,     49,     28857,  49,     50,     28857,  49,     51,     28857,
    49,     52,     28857,  49,     53,     28857,  49,     54,     28857,
    49,     55,     28857,  49,     56,     28857,  49,     57,     28857,
    50,     48,     28857,  50,     49,     28857,  50,     50,     28857,
    50,     51,     28857,  50,     52,     28857,  104,    80,     97,
    100,    97,     65,     85,     98,     97,     114,    111,    86,
    112,    99,     100,    109,    100,    109,    50,     100,    109,
    51,     73,     85,     24179,  25104,  26157,  21644,  22823,  27491,
    26126,  27835,  26666,  24335,  20250,  31038,  112,    65,     110,
    65,     956,    65,     109,    65,     107,    65,     75,     66,
    77,     66,     71,     66,     99,     97,     108,    107,    99,
    97,     108,    112,    70,     110,    70,     956,    70,     956,
    103,    109,    103,    107,    103,    72,     122,    107,    72,
    122,    77,     72,     122,    71,     72,     122,    84,     72,
    122,    956,    108,    109,    108,    100,    108,    107,    108,
    102,    109,    110,    109,    956,    109,    109,    109,    99,
    109,    107,    109,    109,    109,    50,     99,     109,    50,
    109,    50,     107,    109,    50,     109,    109,    51,     99,
    109,    51,     109,    51,     107,    109,    51,     109,    8725,
    115,    109,    8725,   115,    50,     80,     97,     107,    80,
    97,     77,     80,     97,     71,     80,     97,     114,    97,
    100,    114,    97,     100,    8725,   115,    114,    97,     100,
    8725,   115,    50,     112,    115,    110,    115,    956,    115,
    109,    115,    112,    86,     110,    86,     956,    86,     109,
    86,     107,    86,     77,     86,     112,    87,     110,    87,
    956,    87,     109,    87,     107,    87,     77,     87,     107,
    937,    77,     937,    97,     46,     109,    46,     66,     113,
    99,     99,     99,     100,    67,     8725,   107,    103,    67,
    111,    46,     100,    66,     71,     121,    104,    97,     72,
    80,     105,    110,    75,     75,     75,     77,     107,    116,
    108,    109,    108,    110,    108,    111,    103,    108,    120,
    109,    98,     109,    105,    108,    109,    111,    108,    80,
    72,     112,    46,     109,    46,     80,     80,     77,     80,
    82,     115,    114,    83,     118,    87,     98,     86,     8725,
    109,    65,     8725,   109,    49,     26085,  50,     26085,  51,
    26085,  52,     26085,  53,     26085,  54,     26085,  55,     26085,
    56,     26085,  57,     26085,  49,     48,     26085,  49,     49,
    26085,  49,     50,     26085,  49,     51,     26085,  49,     52,
    26085,  49,     53,     26085,  49,     54,     26085,  49,     55,
    26085,  49,     56,     26085,  49,     57,     26085,  50,     48,
    26085,  50,     49,     26085,  50,     50,     26085,  50,     51,
    26085,  50,     52,     26085,  50,     53,     26085,  50,     54,
    26085,  50,     55,     26085,  50,     56,     26085,  50,     57,
    26085,  51,     48,     26085,  51,     49,     26085,  103,    97,
    108,    1098,   1100,   42863,  67,     70,     81,     294,    339,
    42791,  43831,  619,    43858,  653,    35912,  26356,  36554,  36040,
    28369,  20018,  21477,  40860,  40860,  22865,  37329,  21895,  22856,
    25078,  30313,  32645,  34367,  34746,  35064,  37007,  27138,  27931,
    28889,  29662,  33853,  37226,  39409,  20098,  21365,  27396,  29211,
    34349,  40478,  23888,  28651,  34253,  35172,  25289,  33240,  34847,
    24266,  26391,  28010,  29436,  37070,  20358,  20919,  21214,  25796,
    27347,  29200,  30439,  32769,  34310,  34396,  36335,  38706,  39791,
    40442,  30860,  31103,  32160,  33737,  37636,  40575,  35542,  22751,
    24324,  31840,  32894,  29282,  30922,  36034,  38647,  22744,  23650,
    27155,  28122,  28431,  32047,  32311,  38475,  21202,  32907,  20956,
    20940,  31260,  32190,  33777,  38517,  35712,  25295,  27138,  35582,
    20025,  23527,  24594,  29575,  30064,  21271,  30971,  20415,  24489,
    19981,  27852,  25976,  32034,  21443,  22622,  30465,  33865,  35498,
    27578,  36784,  27784,  25342,  33509,  25504,  30053,  20142,  20841,
    20937,  26753,  31975,  33391,  35538,  37327,  21237,  21570,  22899,
    24300,  26053,  28670,  31018,  38317,  39530,  40599,  40654,  21147,
    26310,  27511,  36706,  24180,  24976,  25088,  25754,  28451,  29001,
    29833,  31178,  32244,  32879,  36646,  34030,  36899,  37706,  21015,
    21155,  21693,  28872,  35010,  35498,  24265,  24565,  25467,  27566,
    31806,  29557,  20196,  22265,  23527,  23994,  24604,  29618,  29801,
    32666,  32838,  37428,  38646,  38728,  38936,  20363,  31150,  37300,
    38584,  24801,  20102,  20698,  23534,  23615,  26009,  27138,  29134,
    30274,  34044,  36988,  40845,  26248,  38446,  21129,  26491,  26611,
    27969,  28316,  29705,  30041,  30827,  32016,  39006,  20845,  25134,
    38520,  20523,  23833,  28138,  36650,  24459,  24900,  26647,  29575,
    38534,  21033,  21519,  23653,  26131,  26446,  26792,  27877,  29702,
    30178,  32633,  35023,  35041,  37324,  38626,  21311,  28346,  21533,
    29136,  29848,  34298,  38563,  40023,  40607,  26519,  28107,  33256,
    31435,  31520,  31890,  29376,  28825,  35672,  20160,  33590,  21050,
    20999,  24230,  25299,  31958,  23429,  27934,  26292,  36667,  34892,
    38477,  35211,  24275,  20800,  21952,  22618,  26228,  20958,  29482,
    30410,  31036,  31070,  31077,  31119,  38742,  31934,  32701,  34322,
    35576,  36920,  37117,  39151,  39164,  39208,  40372,  37086,  38583,
    20398,  20711,  20813,  21193,  21220,  21329,  21917,  22022,  22120,
    22592,  22696,  23652,  23662,  24724,  24936,  24974,  25074,  25935,
    26082,  26257,  26757,  28023,  28186,  28450,  29038,  29227,  29730,
    30865,  31038,  31049,  31048,  31056,  31062,  31069,  31117,  31118,
    31296,  31361,  31680,  32244,  32265,  32321,  32626,  32773,  33261,
    33401,  33401,  33879,  35088,  35222,  35585,  35641,  36051,  36104,
    36790,  36920,  38627,  38911,  38971,  24693,  148206, 33304,  20006,
    20917,  20840,  20352,  20805,  20864,  21191,  21242,  21917,  21845,
    21913,  21986,  22618,  22707,  22852,  22868,  23138,  23336,  24274,
    24281,  24425,  24493,  24792,  24910,  24840,  24974,  24928,  25074,
    25140,  25540,  25628,  25682,  25942,  26228,  26391,  26395,  26454,
    27513,  27578,  27969,  28379,  28363,  28450,  28702,  29038,  30631,
    29237,  29359,  29482,  29809,  29958,  30011,  30237,  30239,  30410,
    30427,  30452,  30538,  30528,  30924,  31409,  31680,  31867,  32091,
    32244,  32574,  32773,  33618,  33775,  34681,  35137,  35206,  35222,
    35519,  35576,  35531,  35585,  35582,  35565,  35641,  35722,  36104,
    36664,  36978,  37273,  37494,  38524,  38627,  38742,  38875,  38911,
    38923,  38971,  39698,  40860,  141386, 141380, 144341, 15261,  16408,
    16441,  152137, 154832, 163539, 40771,  40846,  102,    102,    102,
    105,    102,    108,    102,    102,    105,    102,    102,    108,
    115,    116,    115,    116,    1396,   1398,   1396,   1381,   1396,
    1387,   1406,   1398,   1396,   1389,   1497,   1460,   1522,   1463,
    1506,   1488,   1491,   1492,   1499,   1500,   1501,   1512,   1514,
    43,     1513,   1473,   1513,   1474,   1513,   1468,   1473,   1513,
    1468,   1474,   1488,   1463,   1488,   1464,   1488,   1468,   1489,
    1468,   1490,   1468,   1491,   1468,   1492,   1468,   1493,   1468,
    1494,   1468,   1496,   1468,   1497,   1468,   1498,   1468,   1499,
    1468,   1500,   1468,   1502,   1468,   1504,   1468,   1505,   1468,
    1507,   1468,   1508,   1468,   1510,   1468,   1511,   1468,   1512,
    1468,   1513,   1468,   1514,   1468,   1493,   1465,   1489,   1471,
    1499,   1471,   1508,   1471,   1488,   1500,   1649,   1649,   1659,
    1659,   1659,   1659,   1662,   1662,   1662,   1662,   1664,   1664,
    1664,   1664,   1658,   1658,   1658,   1658,   1663,   1663,   1663,
    1663,   1657,   1657,   1657,   1657,   1700,   1700,   1700,   1700,
    1702,   1702,   1702,   1702,   1668,   1668,   1668,   1668,   1667,
    1667,   1667,   1667,   1670,   1670,   1670,   1670,   1671,   1671,
    1671,   1671,   1677,   1677,   1676,   1676,   1678,   1678,   1672,
    1672,   1688,   1688,   1681,   1681,   1705,   1705,   1705,   1705,
    1711,   1711,   1711,   1711,   1715,   1715,   1715,   1715,   1713,
    1713,   1713,   1713,   1722,   1722,   1723,   1723,   1723,   1723,
    1749,   1620,   1749,   1620,   1729,   1729,   1729,   1729,   1726,
    1726,   1726,   1726,   1746,   1746,   1746,   1620,   1746,   1620,
    1709,   1709,   1709,   1709,   1735,   1735,   1734,   1734,   1736,
    1736,   1735,   1652,   1739,   1739,   1733,   1733,   1737,   1737,
    1744,   1744,   1744,   1744,   1609,   1609,   1610,   1620,   1575,
    1610,   1620,   1575,   1610,   1620,   1749,   1610,   1620,   1749,
    1610,   1620,   1608,   1610,   1620,   1608,   1610,   1620,   1735,
    1610,   1620,   1735,   1610,   1620,   1734,   1610,   1620,   1734,
    1610,   1620,   1736,   1610,   1620,   1736,   1610,   1620,   1744,
    1610,   1620,   1744,   1610,   1620,   1744,   1610,   1620,   1609,
    1610,   1620,   1609,   1610,   1620,   1609,   1740,   1740,   1740,
    1740,   1610,   1620,   1580,   1610,   1620,   1581,   1610,   1620,
    1605,   1610,   1620,   1609,   1610,   1620,   1610,   1576,   1580,
    1576,   1581,   1576,   1582,   1576,   1605,   1576,   1609,   1576,
    1610,   1578,   1580,   1578,   1581,   1578,   1582,   1578,   1605,
    1578,   1609,   1578,   1610,   1579,   1580,   1579,   1605,   1579,
    1609,   1579,   1610,   1580,   1581,   1580,   1605,   1581,   1580,
    1581,   1605,   1582,   1580,   1582,   1581,   1582,   1605,   1587,
    1580,   1587,   1581,   1587,   1582,   1587,   1605,   1589,   1581,
    1589,   1605,   1590,   1580,   1590,   1581,   1590,   1582,   1590,
    1605,   1591,   1581,   1591,   1605,   1592,   1605,   1593,   1580,
    1593,   1605,   1594,   1580,   1594,   1605,   1601,   1580,   1601,
    1581,   1601,   1582,   1601,   1605,   1601,   1609,   1601,   1610,
    1602,   1581,   1602,   1605,   1602,   1609,   1602,   1610,   1603,
    1575,   1603,   1580,   1603,   1581,   1603,   1582,   1603,   1604,
    1603,   1605,   1603,   1609,   1603,   1610,   1604,   1580,   1604,
    1581,   1604,   1582,   1604,   1605,   1604,   1609,   1604,   1610,
    1605,   1580,   1605,   1581,   1605,   1582,   1605,   1605,   1605,
    1609,   1605,   1610,   1606,   1580,   1606,   1581,   1606,   1582,
    1606,   1605,   1606,   1609,   1606,   1610,   1607,   1580,   1607,
    1605,   1607,   1609,   1607,   1610,   1610,   1580,   1610,   1581,
    1610,   1582,   1610,   1605,   1610,   1609,   1610,   1610,   1584,
    1648,   1585,   1648,   1609,   1648,   32,     1612,   1617,   32,
    1613,   1617,   32,     1614,   1617,   32,     1615,   1617,   32,
    1616,   1617,   32,     1617,   1648,   1610,   1620,   1585,   1610,
    1620,   1586,   1610,   1620,   1605,   1610,   1620,   1606,   1610,
    1620,   1609,   1610,   1620,   1610,   1576,   1585,   1576,   1586,
    1576,   1605,   1576,   1606,   1576,   1609,   1576,   1610,   1578,
    1585,   1578,   1586,   1578,   1605,   1578,   1606,   1578,   1609,
    1578,   1610,   1579,   1585,   1579,   1586,   1579,   1605,   1579,
    1606,   1579,   1609,   1579,   1610,   1601,   1609,   1601,   1610,
    1602,   1609,   1602,   1610,   1603,   1575,   1603,   1604,   1603,
    1605,   1603,   1609,   1603,   1610,   1604,   1605,   1604,   1609,
    1604,   1610,   1605,   1575,   1605,   1605,   1606,   1585,   1606,
    1586,   1606,   1605,   1606,   1606,   1606,   1609,   1606,   1610,
    1609,   1648,   1610,   1585,   1610,   1586,   1610,   1605,   1610,
    1606,   1610,   1609,   1610,   1610,   1610,   1620,   1580,   1610,
    1620,   1581,   1610,   1620,   1582,   1610,   1620,   1605,   1610,
    1620,   1607,   1576,   1580,   1576,   1581,   1576,   1582,   1576,
    1605,   1576,   1607,   1578,   1580,   1578,   1581,   1578,   1582,
    1578,   1605,   1578,   1607,   1579,   1605,   1580,   1581,   1580,
    1605,   1581,   1580,   1581,   1605,   1582,   1580,   1582,   1605,
    1587,   1580,   1587,   1581,   1587,   1582,   1587,   1605,   1589,
    1581,   1589,   1582,   1589,   1605,   1590,   1580,   1590,   1581,
    1590,   1582,   1590,   1605,   1591,   1581,   1592,   1605,   1593,
    1580,   1593,   1605,   1594,   1580,   1594,   1605,   1601,   1580,
    1601,   1581,   1601,   1582,   1601,   1605,   1602,   1581,   1602,
    1605,   1603,   1580,   1603,   1581,   1603,   1582,   1603,   1604,
    1603,   1605,   1604,   1580,   1604,   1581,   1604,   1582,   1604,
    1605,   1604,   1607,   1605,   1580,   1605,   1581,   1605,   1582,
    1605,   1605,   1606,   1580,   1606,   1581,   1606,   1582,   1606,
    1605,   1606,   1607,   1607,   1580,   1607,   1605,   1607,   1648,
    1610,   1580,   1610,   1581,   1610,   1582,   1610,   1605,   1610,
    1607,   1610,   1620,   1605,   1610,   1620,   1607,   1576,   1605,
    1576,   1607,   1578,   1605,   1578,   1607,   1579,   1605,   1579,
    1607,   1587,   1605,   1587,   1607,   1588,   1605,   1588,   1607,
    1603,   1604,   1603,   1605,   1604,   1605,   1606,   1605,   1606,
    1607,   1610,   1605,   1610,   1607,   1600,   1614,   1617,   1600,
    1615,   1617,   1600,   1616,   1617,   1591,   1609,   1591,   1610,
    1593,   1609,   1593,   1610,   1594,   1609,   1594,   1610,   1587,
    1609,   1587,   1610,   1588,   1609,   1588,   1610,   1581,   1609,
    1581,   1610,   1580,   1609,   1580,   1610,   1582,   1609,   1582,
    1610,   1589,   1609,   1589,   1610,   1590,   1609,   1590,   1610,
    1588,   1580,   1588,   1581,   1588,   1582,   1588,   1605,   1588,
    1585,   1587,   1585,   1589,   1585,   1590,   1585,   1591,   1609,
    1591,   1610,   1593,   1609,   1593,   1610,   1594,   1609,   1594,
    1610,   1587,   1609,   1587,   1610,   1588,   1609,   1588,   1610,
    1581,   1609,   1581,   1610,   1580,   1609,   1580,   1610,   1582,
    1609,   1582,   1610,   1589,   1609,   1589,   1610,   1590,   1609,
    1590,   1610,   1588,   1580,   1588,   1581,   1588,   1582,   1588,
    1605,   1588,   1585,   1587,   1585,   1589,   1585,   1590,   1585,
    1588,   1580,   1588,   1581,   1588,   1582,   1588,   1605,   1587,
    1607,   1588,   1607,   1591,   1605,   1587,   1580,   1587,   1581,
    1587,   1582,   1588,   1580,   1588,   1581,   1588,   1582,   1591,
    1605,   1592,   1605,   1575,   1611,   1575,   1611,   1578,   1580,
    1605,   1578,   1581,   1580,   1578,   1581,   1580,   1578,   1581,
    1605,   1578,   1582,   1605,   1578,   1605,   1580,   1578,   1605,
    1581,   1578,   1605,   1582,   1580,   1605,   1581,   1580,   1605,
    1581,   1581,   1605,   1610,   1581,   1605,   1609,   1587,   1581,
    1580,   1587,   1580,   1581,   1587,   1580,   1609,   1587,   1605,
    1581,   1587,   1605,   1581,   1587,   1605,   1580,   1587,   1605,
    1605,   1587,   1605,   1605,   1589,   1581,   1581,   1589,   1581,
    1581,   1589,   1605,   1605,   1588,   1581,   1605,   1588,   1581,
    1605,   1588,   1580,   1610,   1588,   1605,   1582,   1588,   1605,
    1582,   1588,   1605,   1605,   1588,   1605,   1605,   1590,   1581,
    1609,   1590,   1582,   1605,   1590,   1582,   1605,   1591,   1605,
    1581,   1591,   1605,   1581,   1591,   1605,   1605,   1591,   1605,
    1610,   1593,   1580,   1605,   1593,   1605,   1605,   1593,   1605,
    1605,   1593,   1605,   1609,   1594,   1605,   1605,   1594,   1605,
    1610,   1594,   1605,   1609,   1601,   1582,   1605,   1601,   1582,
    1605,   1602,   1605,   1581,   1602,   1605,   1605,   1604,   1581,
    1605,   1604,   1581,   1610,   1604,   1581,   1609,   1604,   1580,
    1580,   1604,   1580,   1580,   1604,   1582,   1605,   1604,   1582,
    1605,   1604,   1605,   1581,   1604,   1605,   1581,   1605,   1581,
    1580,   1605,   1581,   1605,   1605,   1581,   1610,   1605,   1580,
    1581,   1605,   1580,   1605,   1605,   1582,   1580,   1605,   1582,
    1605,   1605,   1580,   1582,   1607,   1605,   1580,   1607,   1605,
    1605,   1606,   1581,   1605,   1606,   1581,   1609,   1606,   1580,
    1605,   1606,   1580,   1605,   1606,   1580,   1609,   1606,   1605,
    1610,   1606,   1605,   1609,   1610,   1605,   1605,   1610,   1605,
    1605,   1576,   1582,   1610,   1578,   1580,   1610,   1578,   1580,
    1609,   1578,   1582,   1610,   1578,   1582,   1609,   1578,   1605,
    1610,   1578,   1605,   1609,   1580,   1605,   1610,   1580,   1581,
    1609,   1580,   1605,   1609,   1587,   1582,   1609,   1589,   1581,
    1610,   1588,   1581,   1610,   1590,   1581,   1610,   1604,   1580,
    1610,   1604,   1605,   1610,   1610,   1581,   1610,   1610,   1580,
    1610,   1610,   1605,   1610,   1605,   1605,   1610,   1602,   1605,
    1610,   1606,   1581,   1610,   1602,   1605,   1581,   1604,   1581,
    1605,   1593,   1605,   1610,   1603,   1605,   1610,   1606,   1580,
    1581,   1605,   1582,   1610,   1604,   1580,   1605,   1603,   1605,
    1605,   1604,   1580,   1605,   1606,   1580,   1581,   1580,   1581,
    1610,   1581,   1580,   1610,   1605,   1580,   1610,   1601,   1605,
    1610,   1576,   1581,   1610,   1603,   1605,   1605,   1593,   1580,
    1605,   1589,   1605,   1605,   1587,   1582,   1610,   1606,   1580,
    1610,   1589,   1604,   1746,   1602,   1604,   1746,   1575,   1604,
    1604,   1607,   1575,   1603,   1576,   1585,   1605,   1581,   1605,
    1583,   1589,   1604,   1593,   1605,   1585,   1587,   1608,   1604,
    1593,   1604,   1610,   1607,   1608,   1587,   1604,   1605,   1589,
    1604,   1609,   1589,   1604,   1609,   32,     1575,   1604,   1604,
    1607,   32,     1593,   1604,   1610,   1607,   32,     1608,   1587,
    1604,   1605,   1580,   1604,   32,     1580,   1604,   1575,   1604,
    1607,   1585,   1740,   1575,   1604,   44,     12289,  12290,  58,
    59,     33,     63,     12310,  12311,  46,     46,     46,     46,
    46,     8212,   8211,   95,     95,     40,     41,     123,    125,
    12308,  12309,  12304,  12305,  12298,  12299,  12296,  12297,  12300,
    12301,  12302,  12303,  91,     93,     32,     773,    32,     773,
    32,     773,    32,     773,    95,     95,     95,     44,     12289,
    46,     59,     58,     63,     33,     8212,   40,     41,     123,
    125,    12308,  12309,  35,     38,     42,     43,     45,     60,
    62,     61,     92,     36,     37,     64,     32,     1611,   1600,
    1611,   32,     1612,   32,     1613,   32,     1614,   1600,   1614,
    32,     1615,   1600,   1615,   32,     1616,   1600,   1616,   32,
    1617,   1600,   1617,   32,     1618,   1600,   1618,   1569,   1575,
    1619,   1575,   1619,   1575,   1620,   1575,   1620,   1608,   1620,
    1608,   1620,   1575,   1621,   1575,   1621,   1610,   1620,   1610,
    1620,   1610,   1620,   1610,   1620,   1575,   1575,   1576,   1576,
    1576,   1576,   1577,   1577,   1578,   1578,   1578,   1578,   1579,
    1579,   1579,   1579,   1580,   1580,   1580,   1580,   1581,   1581,
    1581,   1581,   1582,   1582,   1582,   1582,   1583,   1583,   1584,
    1584,   1585,   1585,   1586,   1586,   1587,   1587,   1587,   1587,
    1588,   1588,   1588,   1588,   1589,   1589,   1589,   1589,   1590,
    1590,   1590,   1590,   1591,   1591,   1591,   1591,   1592,   1592,
    1592,   1592,   1593,   1593,   1593,   1593,   1594,   1594,   1594,
    1594,   1601,   1601,   1601,   1601,   1602,   1602,   1602,   1602,
    1603,   1603,   1603,   1603,   1604,   1604,   1604,   1604,   1605,
    1605,   1605,   1605,   1606,   1606,   1606,   1606,   1607,   1607,
    1607,   1607,   1608,   1608,   1609,   1609,   1610,   1610,   1610,
    1610,   1604,   1575,   1619,   1604,   1575,   1619,   1604,   1575,
    1620,   1604,   1575,   1620,   1604,   1575,   1621,   1604,   1575,
    1621,   1604,   1575,   1604,   1575,   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,
    10629,  10630,  12290,  12300,  12301,  12289,  12539,  12530,  12449,
    12451,  12453,  12455,  12457,  12515,  12517,  12519,  12483,  12540,
    12450,  12452,  12454,  12456,  12458,  12459,  12461,  12463,  12465,
    12467,  12469,  12471,  12473,  12475,  12477,  12479,  12481,  12484,
    12486,  12488,  12490,  12491,  12492,  12493,  12494,  12495,  12498,
    12501,  12504,  12507,  12510,  12511,  12512,  12513,  12514,  12516,
    12518,  12520,  12521,  12522,  12523,  12524,  12525,  12527,  12531,
    12441,  12442,  4448,   4352,   4353,   4522,   4354,   4524,   4525,
    4355,   4356,   4357,   4528,   4529,   4530,   4531,   4532,   4533,
    4378,   4358,   4359,   4360,   4385,   4361,   4362,   4363,   4364,
    4365,   4366,   4367,   4368,   4369,   4370,   4449,   4450,   4451,
    4452,   4453,   4454,   4455,   4456,   4457,   4458,   4459,   4460,
    4461,   4462,   4463,   4464,   4465,   4466,   4467,   4468,   4469,
    162,    163,    172,    32,     772,    166,    165,    8361,   9474,
    8592,   8593,   8594,   8595,   9632,   9675,   720,    721,    230,
    665,    595,    675,    43878,  677,    676,    598,    599,    7569,
    600,    606,    681,    612,    610,    608,    667,    295,    668,
    615,    644,    682,    683,    620,    122628, 42894,  622,    122629,
    654,    122630, 248,    630,    631,    113,    634,    122632, 637,
    638,    640,    680,    678,    43879,  679,    648,    11377,  655,
    673,    674,    664,    448,    449,    450,    122634, 122654, 69785,
    69818,  69787,  69818,  69797,  69818,  69937,  69927,  69938,  69927,
    70471,  70462,  70471,  70487,  70841,  70842,  70841,  70832,  70841,
    70845,  71096,  71087,  71097,  71087,  71989,  71984,  119127, 119141,
    119128, 119141, 119128, 119141, 119150, 119128, 119141, 119151, 119128,
    119141, 119152, 119128, 119141, 119153, 119128, 119141, 119154, 119225,
    119141, 119226, 119141, 119225, 119141, 119150, 119226, 119141, 119150,
    119225, 119141, 119151, 119226, 119141, 119151, 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,     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,    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,     97,     98,     99,     100,    101,    102,
    103,    105,    106,    107,    108,    109,    110,    111,    112,
    113,    114,    115,    116,    117,    118,    119,    120,    121,
    122,    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,
    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,    65,
    67,     68,     71,     74,     75,     78,     79,     80,     81,
    83,     84,     85,     86,     87,     88,     89,     90,     97,
    98,     99,     100,    102,    104,    105,    106,    107,    108,
    109,    110,    112,    113,    114,    115,    116,    117,    118,
    119,    120,    121,    122,    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,     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,    65,     66,     68,     69,     70,     71,     74,
    75,     76,     77,     78,     79,     80,     81,     83,     84,
    85,     86,     87,     88,     89,     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,    65,     66,     68,     69,     70,
    71,     73,     74,     75,     76,     77,     79,     83,     84,
    85,     86,     87,     88,     89,     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,    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,     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,    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,     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,
    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,     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,    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,     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,    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,     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,    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,     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,    305,    567,    913,    914,    915,    916,    917,    918,
    919,    920,    921,    922,    923,    924,    925,    926,    927,
    928,    929,    920,    931,    932,    933,    934,    935,    936,
    937,    8711,   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,
    8706,   949,    952,    954,    966,    961,    960,    913,    914,
    915,    916,    917,    918,    919,    920,    921,    922,    923,
    924,    925,    926,    927,    928,    929,    920,    931,    932,
    933,    934,    935,    936,    937,    8711,   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,    8706,   949,    952,    954,    966,
    961,    960,    913,    914,    915,    916,    917,    918,    919,
    920,    921,    922,    923,    924,    925,    926,    927,    928,
    929,    920,    931,    932,    933,    934,    935,    936,    937,
    8711,   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,    8706,
    949,    952,    954,    966,    961,    960,    913,    914,    915,
    916,    917,    918,    919,    920,    921,    922,    923,    924,
    925,    926,    927,    928,    929,    920,    931,    932,    933,
    934,    935,    936,    937,    8711,   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,    8706,   949,    952,    954,    966,    961,
    960,    913,    914,    915,    916,    917,    918,    919,    920,
    921,    922,    923,    924,    925,    926,    927,    928,    929,
    920,    931,    932,    933,    934,    935,    936,    937,    8711,
    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,    8706,   949,
    952,    954,    966,    961,    960,    988,    989,    48,     49,
    50,     51,     52,     53,     54,     55,     56,     57,     48,
    49,     50,     51,     52,     53,     54,     55,     56,     57,
    48,     49,     50,     51,     52,     53,     54,     55,     56,
    57,     48,     49,     50,     51,     52,     53,     54,     55,
    56,     57,     48,     49,     50,     51,     52,     53,     54,
    55,     56,     57,     1072,   1073,   1074,   1075,   1076,   1077,
    1078,   1079,   1080,   1082,   1083,   1084,   1086,   1087,   1088,
    1089,   1090,   1091,   1092,   1093,   1094,   1095,   1096,   1099,
    1101,   1102,   42633,  1241,   1110,   1112,   1257,   1199,   1231,
    1072,   1073,   1074,   1075,   1076,   1077,   1078,   1079,   1080,
    1082,   1083,   1086,   1087,   1089,   1091,   1092,   1093,   1094,
    1095,   1096,   1098,   1099,   1169,   1110,   1109,   1119,   1195,
    42577,  1201,   1575,   1576,   1580,   1583,   1608,   1586,   1581,
    1591,   1610,   1603,   1604,   1605,   1606,   1587,   1593,   1601,
    1589,   1602,   1585,   1588,   1578,   1579,   1582,   1584,   1590,
    1592,   1594,   1646,   1722,   1697,   1647,   1576,   1580,   1607,
    1581,   1610,   1603,   1604,   1605,   1606,   1587,   1593,   1601,
    1589,   1602,   1588,   1578,   1579,   1582,   1590,   1594,   1580,
    1581,   1610,   1604,   1606,   1587,   1593,   1589,   1602,   1588,
    1582,   1590,   1594,   1722,   1647,   1576,   1580,   1607,   1581,
    1591,   1610,   1603,   1605,   1606,   1587,   1593,   1601,   1589,
    1602,   1588,   1578,   1579,   1582,   1590,   1592,   1594,   1646,
    1697,   1575,   1576,   1580,   1583,   1607,   1608,   1586,   1581,
    1591,   1610,   1604,   1605,   1606,   1587,   1593,   1601,   1589,
    1602,   1585,   1588,   1578,   1579,   1582,   1584,   1590,   1592,
    1594,   1576,   1580,   1583,   1608,   1586,   1581,   1591,   1610,
    1604,   1605,   1606,   1587,   1593,   1601,   1589,   1602,   1585,
    1588,   1578,   1579,   1582,   1584,   1590,   1592,   1594,   48,
    46,     48,     44,     49,     44,     50,     44,     51,     44,
    52,     44,     53,     44,     54,     44,     55,     44,     56,
    44,     57,     44,     40,     65,     41,     40,     66,     41,
    40,     67,     41,     40,     68,     41,     40,     69,     41,
    40,     70,     41,     40,     71,     41,     40,     72,     41,
    40,     73,     41,     40,     74,     41,     40,     75,     41,
    40,     76,     41,     40,     77,     41,     40,     78,     41,
    40,     79,     41,     40,     80,     41,     40,     81,     41,
    40,     82,     41,     40,     83,     41,     40,     84,     41,
    40,     85,     41,     40,     86,     41,     40,     87,     41,
    40,     88,     41,     40,     89,     41,     40,     90,     41,
    12308,  83,     12309,  67,     82,     67,     68,     87,     90,
    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,     72,
    86,     77,     86,     83,     68,     83,     83,     80,     80,
    86,     87,     67,     77,     67,     77,     68,     77,     82,
    68,     74,     12411,  12363,  12467,  12467,  12469,  25163,  23383,
    21452,  12486,  12441,  20108,  22810,  35299,  22825,  20132,  26144,
    28961,  26009,  21069,  24460,  20877,  26032,  21021,  32066,  29983,
    36009,  22768,  21561,  28436,  25237,  25429,  19968,  19977,  36938,
    24038,  20013,  21491,  25351,  36208,  25171,  31105,  31354,  21512,
    28288,  26377,  26376,  30003,  21106,  21942,  37197,  12308,  26412,
    12309,  12308,  19977,  12309,  12308,  20108,  12309,  12308,  23433,
    12309,  12308,  28857,  12309,  12308,  25171,  12309,  12308,  30423,
    12309,  12308,  21213,  12309,  12308,  25943,  12309,  24471,  21487,
    48,     49,     50,     51,     52,     53,     54,     55,     56,
    57,     20029,  20024,  20033,  131362, 20320,  20398,  20411,  20482,
    20602,  20633,  20711,  20687,  13470,  132666, 20813,  20820,  20836,
    20855,  132380, 13497,  20839,  20877,  132427, 20887,  20900,  20172,
    20908,  20917,  168415, 20981,  20995,  13535,  21051,  21062,  21106,
    21111,  13589,  21191,  21193,  21220,  21242,  21253,  21254,  21271,
    21321,  21329,  21338,  21363,  21373,  21375,  21375,  21375,  133676,
    28784,  21450,  21471,  133987, 21483,  21489,  21510,  21662,  21560,
    21576,  21608,  21666,  21750,  21776,  21843,  21859,  21892,  21892,
    21913,  21931,  21939,  21954,  22294,  22022,  22295,  22097,  22132,
    20999,  22766,  22478,  22516,  22541,  22411,  22578,  22577,  22700,
    136420, 22770,  22775,  22790,  22810,  22818,  22882,  136872, 136938,
    23020,  23067,  23079,  23000,  23142,  14062,  14076,  23304,  23358,
    23358,  137672, 23491,  23512,  23527,  23539,  138008, 23551,  23558,
    24403,  23586,  14209,  23648,  23662,  23744,  23693,  138724, 23875,
    138726, 23918,  23915,  23932,  24033,  24034,  14383,  24061,  24104,
    24125,  24169,  14434,  139651, 14460,  24240,  24243,  24246,  24266,
    172946, 24318,  140081, 140081, 33281,  24354,  24354,  14535,  144056,
    156122, 24418,  24427,  14563,  24474,  24525,  24535,  24569,  24705,
    14650,  14620,  24724,  141012, 24775,  24904,  24908,  24910,  24908,
    24954,  24974,  25010,  24996,  25007,  25054,  25074,  25078,  25104,
    25115,  25181,  25265,  25300,  25424,  142092, 25405,  25340,  25448,
    25475,  25572,  142321, 25634,  25541,  25513,  14894,  25705,  25726,
    25757,  25719,  14956,  25935,  25964,  143370, 26083,  26360,  26185,
    15129,  26257,  15112,  15076,  20882,  20885,  26368,  26268,  32941,
    17369,  26391,  26395,  26401,  26462,  26451,  144323, 15177,  26618,
    26501,  26706,  26757,  144493, 26766,  26655,  26900,  15261,  26946,
    27043,  27114,  27304,  145059, 27355,  15384,  27425,  145575, 27476,
    15438,  27506,  27551,  27578,  27579,  146061, 138507, 146170, 27726,
    146620, 27839,  27853,  27751,  27926,  27966,  28023,  27969,  28009,
    28024,  28037,  146718, 27956,  28207,  28270,  15667,  28363,  28359,
    147153, 28153,  28526,  147294, 147342, 28614,  28729,  28702,  28699,
    15766,  28746,  28797,  28791,  28845,  132389, 28997,  148067, 29084,
    148395, 29224,  29237,  29264,  149000, 29312,  29333,  149301, 149524,
    29562,  29579,  16044,  29605,  16056,  16056,  29767,  29788,  29809,
    29829,  29898,  16155,  29988,  150582, 30014,  150674, 30064,  139679,
    30224,  151457, 151480, 151620, 16380,  16392,  30452,  151795, 151794,
    151833, 151859, 30494,  30495,  30495,  30538,  16441,  30603,  16454,
    16534,  152605, 30798,  30860,  30924,  16611,  153126, 31062,  153242,
    153285, 31119,  31211,  16687,  31296,  31306,  31311,  153980, 154279,
    154279, 31470,  16898,  154539, 31686,  31689,  16935,  154752, 31954,
    17056,  31976,  31971,  32000,  155526, 32099,  17153,  32199,  32258,
    32325,  17204,  156200, 156231, 17241,  156377, 32634,  156478, 32661,
    32762,  32773,  156890, 156963, 32864,  157096, 32880,  144223, 17365,
    32946,  33027,  17419,  33086,  23221,  157607, 157621, 144275, 144284,
    33281,  33284,  36766,  17515,  33425,  33419,  33437,  21171,  33457,
    33459,  33469,  33510,  158524, 33509,  33565,  33635,  33709,  33571,
    33725,  33767,  33879,  33619,  33738,  33740,  33756,  158774, 159083,
    158933, 17707,  34033,  34035,  34070,  160714, 34148,  159532, 17757,
    17761,  159665, 159954, 17771,  34384,  34396,  34407,  34409,  34473,
    34440,  34574,  34530,  34681,  34600,  34667,  34694,  17879,  34785,
    34817,  17913,  34912,  34915,  161383, 35031,  35038,  17973,  35066,
    13499,  161966, 162150, 18110,  18119,  35488,  35565,  35722,  35925,
    162984, 36011,  36033,  36123,  36215,  163631, 133124, 36299,  36284,
    36336,  133342, 36564,  36664,  165330, 165357, 37012,  37105,  37137,
    165678, 37147,  37432,  37591,  37592,  37500,  37881,  37909,  166906,
    38283,  18837,  38327,  167287, 18918,  38595,  23986,  38691,  168261,
    168474, 19054,  19062,  38880,  168970, 19122,  169110, 38923,  38923,
    38953,  169398, 39138,  19251,  39209,  39335,  39362,  39422,  19406,
    170800, 39698,  40000,  40189,  19662,  19693,  40295,  172238, 19704,
    172293, 172558, 172689, 40635,  19798,  40697,  40702,  40709,  40719,
    40726,  40763,  173568};

}  // namespace unilib
}  // namespace ufal
/* end file src/unilib/uninorms.cpp */

namespace ada::idna {

void normalize(std::u32string& input) {
  /**
   * Normalize the domain_name string to Unicode Normalization Form C.
   * @see https://www.unicode.org/reports/tr46/#ProcessingStepNormalize
   */
  ufal::unilib::uninorms::nfc(input);
}

}  // namespace ada::idna
/* end file src/normalization.cpp */
/* begin file src/punycode.cpp */

#include <cstdint>

namespace ada::idna {

constexpr int32_t base = 36;
constexpr int32_t tmin = 1;
constexpr int32_t tmax = 26;
constexpr int32_t skew = 38;
constexpr int32_t damp = 700;
constexpr int32_t initial_bias = 72;
constexpr uint32_t initial_n = 128;

static constexpr int32_t char_to_digit_value(char value) {
  if (value >= 'a' && value <= 'z') return value - 'a';
  if (value >= '0' && value <= '9') return value - '0' + 26;
  return -1;
}

static constexpr char digit_to_char(int32_t digit) {
  return digit < 26 ? char(digit + 97) : char(digit + 22);
}

static constexpr int32_t adapt(int32_t d, int32_t n, bool firsttime) {
  if (firsttime) {
    d = d / damp;
  } else {
    d = d / 2;
  }
  d += d / n;
  int32_t k = 0;
  while (d > ((base - tmin) * tmax) / 2) {
    d /= base - tmin;
    k += base;
  }
  return k + (((base - tmin + 1) * d) / (d + skew));
}

bool punycode_to_utf32(std::string_view input, std::u32string &out) {
  int32_t written_out{0};
  out.reserve(out.size() + input.size());
  uint32_t n = initial_n;
  int32_t i = 0;
  int32_t bias = initial_bias;
  // grab ascii content
  size_t end_of_ascii = input.find_last_of('-');
  if (end_of_ascii != std::string_view::npos) {
    for (uint8_t c : input.substr(0, end_of_ascii)) {
      if (c >= 0x80) {
        return false;
      }
      out.push_back(c);
      written_out++;
    }
    input.remove_prefix(end_of_ascii + 1);
  }
  while (!input.empty()) {
    int32_t oldi = i;
    int32_t w = 1;
    for (int32_t k = base;; k += base) {
      if (input.empty()) {
        return false;
      }
      uint8_t code_point = input.front();
      input.remove_prefix(1);
      int32_t digit = char_to_digit_value(code_point);
      if (digit < 0) {
        return false;
      }
      if (digit > (0x7fffffff - i) / w) {
        return false;
      }
      i = i + digit * w;
      int32_t t = k <= bias ? tmin : k >= bias + tmax ? tmax : k - bias;
      if (digit < t) {
        break;
      }
      if (w > 0x7fffffff / (base - t)) {
        return false;
      }
      w = w * (base - t);
    }
    bias = adapt(i - oldi, written_out + 1, oldi == 0);
    if (i / (written_out + 1) > int32_t(0x7fffffff - n)) {
      return false;
    }
    n = n + i / (written_out + 1);
    i = i % (written_out + 1);
    if (n < 0x80) {
      return false;
    }
    out.insert(out.begin() + i, n);
    written_out++;
    ++i;
  }

  return true;
}

bool verify_punycode(std::string_view input) {
  size_t written_out{0};
  uint32_t n = initial_n;
  int32_t i = 0;
  int32_t bias = initial_bias;
  // grab ascii content
  size_t end_of_ascii = input.find_last_of('-');
  if (end_of_ascii != std::string_view::npos) {
    for (uint8_t c : input.substr(0, end_of_ascii)) {
      if (c >= 0x80) {
        return false;
      }
      written_out++;
    }
    input.remove_prefix(end_of_ascii + 1);
  }
  while (!input.empty()) {
    int32_t oldi = i;
    int32_t w = 1;
    for (int32_t k = base;; k += base) {
      if (input.empty()) {
        return false;
      }
      uint8_t code_point = input.front();
      input.remove_prefix(1);
      int32_t digit = char_to_digit_value(code_point);
      if (digit < 0) {
        return false;
      }
      if (digit > (0x7fffffff - i) / w) {
        return false;
      }
      i = i + digit * w;
      int32_t t = k <= bias ? tmin : k >= bias + tmax ? tmax : k - bias;
      if (digit < t) {
        break;
      }
      if (w > 0x7fffffff / (base - t)) {
        return false;
      }
      w = w * (base - t);
    }
    bias = adapt(i - oldi, int32_t(written_out + 1), oldi == 0);
    if (i / (written_out + 1) > 0x7fffffff - n) {
      return false;
    }
    n = n + i / int32_t(written_out + 1);
    i = i % int32_t(written_out + 1);
    if (n < 0x80) {
      return false;
    }
    written_out++;
    ++i;
  }

  return true;
}

bool utf32_to_punycode(std::u32string_view input, std::string &out) {
  out.reserve(input.size() + out.size());
  uint32_t n = initial_n;
  int32_t d = 0;
  int32_t bias = initial_bias;
  size_t h = 0;
  // first push the ascii content
  for (uint32_t c : input) {
    if (c < 0x80) {
      ++h;
      out.push_back(char(c));
    }
    if (c > 0x10ffff || (c >= 0xd880 && c < 0xe000)) {
      return false;
    }
  }
  size_t b = h;
  if (b > 0) {
    out.push_back('-');
  }
  while (h < input.size()) {
    uint32_t m = 0x10FFFF;
    for (auto code_point : input) {
      if (code_point >= n && code_point < m) m = code_point;
    }

    if ((m - n) > (0x7fffffff - d) / (h + 1)) {
      return false;
    }
    d = d + int32_t((m - n) * (h + 1));
    n = m;
    for (auto c : input) {
      if (c < n) {
        if (d == 0x7fffffff) {
          return false;
        }
        ++d;
      }
      if (c == n) {
        int32_t q = d;
        for (int32_t k = base;; k += base) {
          int32_t t = k <= bias ? tmin : k >= bias + tmax ? tmax : k - bias;

          if (q < t) {
            break;
          }
          out.push_back(digit_to_char(t + ((q - t) % (base - t))));
          q = (q - t) / (base - t);
        }
        out.push_back(digit_to_char(q));
        bias = adapt(d, int32_t(h + 1), h == b);
        d = 0;
        ++h;
      }
    }
    ++d;
    ++n;
  }
  return true;
}

}  // namespace ada::idna
/* end file src/punycode.cpp */
/* begin file src/validity.cpp */
#include <algorithm>
#include <string_view>

namespace ada::idna {

enum direction : uint8_t {
  NONE,
  BN,
  CS,
  ES,
  ON,
  EN,
  L,
  R,
  NSM,
  AL,
  AN,
  ET,
  WS,
  RLO,
  LRO,
  PDF,
  RLE,
  RLI,
  FSI,
  PDI,
  LRI,
  B,
  S,
  LRE
};

struct directions {
  uint32_t start_code;
  uint32_t final_code;
  direction direct;
};

static directions dir_table[] = {
    {0x0, 0x8, direction::BN},          {0x9, 0x9, direction::S},
    {0xa, 0xa, direction::B},           {0xb, 0xb, direction::S},
    {0xc, 0xc, direction::WS},          {0xd, 0xd, direction::B},
    {0xe, 0x1b, direction::BN},         {0x1c, 0x1e, direction::B},
    {0x1f, 0x1f, direction::S},         {0x20, 0x20, direction::WS},
    {0x21, 0x22, direction::ON},        {0x23, 0x25, direction::ET},
    {0x26, 0x2a, direction::ON},        {0x2b, 0x2b, direction::ES},
    {0x2c, 0x2c, direction::CS},        {0x2d, 0x2d, direction::ES},
    {0x2e, 0x2f, direction::CS},        {0x30, 0x39, direction::EN},
    {0x3a, 0x3a, direction::CS},        {0x3b, 0x40, direction::ON},
    {0x41, 0x5a, direction::L},         {0x5b, 0x60, direction::ON},
    {0x61, 0x7a, direction::L},         {0x7b, 0x7e, direction::ON},
    {0x7f, 0x84, direction::BN},        {0x85, 0x85, direction::B},
    {0x86, 0x9f, direction::BN},        {0xa0, 0xa0, direction::CS},
    {0xa1, 0xa1, direction::ON},        {0xa2, 0xa5, direction::ET},
    {0xa6, 0xa9, direction::ON},        {0xaa, 0xaa, direction::L},
    {0xab, 0xac, direction::ON},        {0xad, 0xad, direction::BN},
    {0xae, 0xaf, direction::ON},        {0xb0, 0xb1, direction::ET},
    {0xb2, 0xb3, direction::EN},        {0xb4, 0xb4, direction::ON},
    {0xb5, 0xb5, direction::L},         {0xb6, 0xb8, direction::ON},
    {0xb9, 0xb9, direction::EN},        {0xba, 0xba, direction::L},
    {0xbb, 0xbf, direction::ON},        {0xc0, 0xd6, direction::L},
    {0xd7, 0xd7, direction::ON},        {0xd8, 0xf6, direction::L},
    {0xf7, 0xf7, direction::ON},        {0xf8, 0x2b8, direction::L},
    {0x2b9, 0x2ba, direction::ON},      {0x2bb, 0x2c1, direction::L},
    {0x2c2, 0x2cf, direction::ON},      {0x2d0, 0x2d1, direction::L},
    {0x2d2, 0x2df, direction::ON},      {0x2e0, 0x2e4, direction::L},
    {0x2e5, 0x2ed, direction::ON},      {0x2ee, 0x2ee, direction::L},
    {0x2ef, 0x2ff, direction::ON},      {0x300, 0x36f, direction::NSM},
    {0x370, 0x373, direction::L},       {0x374, 0x375, direction::ON},
    {0x376, 0x377, direction::L},       {0x37a, 0x37d, direction::L},
    {0x37e, 0x37e, direction::ON},      {0x37f, 0x37f, direction::L},
    {0x384, 0x385, direction::ON},      {0x386, 0x386, direction::L},
    {0x387, 0x387, direction::ON},      {0x388, 0x38a, direction::L},
    {0x38c, 0x38c, direction::L},       {0x38e, 0x3a1, direction::L},
    {0x3a3, 0x3f5, direction::L},       {0x3f6, 0x3f6, direction::ON},
    {0x3f7, 0x482, direction::L},       {0x483, 0x489, direction::NSM},
    {0x48a, 0x52f, direction::L},       {0x531, 0x556, direction::L},
    {0x559, 0x589, direction::L},       {0x58a, 0x58a, direction::ON},
    {0x58d, 0x58e, direction::ON},      {0x58f, 0x58f, direction::ET},
    {0x591, 0x5bd, direction::NSM},     {0x5be, 0x5be, direction::R},
    {0x5bf, 0x5bf, direction::NSM},     {0x5c0, 0x5c0, direction::R},
    {0x5c1, 0x5c2, direction::NSM},     {0x5c3, 0x5c3, direction::R},
    {0x5c4, 0x5c5, direction::NSM},     {0x5c6, 0x5c6, direction::R},
    {0x5c7, 0x5c7, direction::NSM},     {0x5d0, 0x5ea, direction::R},
    {0x5ef, 0x5f4, direction::R},       {0x600, 0x605, direction::AN},
    {0x606, 0x607, direction::ON},      {0x608, 0x608, direction::AL},
    {0x609, 0x60a, direction::ET},      {0x60b, 0x60b, direction::AL},
    {0x60c, 0x60c, direction::CS},      {0x60d, 0x60d, direction::AL},
    {0x60e, 0x60f, direction::ON},      {0x610, 0x61a, direction::NSM},
    {0x61b, 0x61c, direction::AL},      {0x61e, 0x64a, direction::AL},
    {0x64b, 0x65f, direction::NSM},     {0x660, 0x669, direction::AN},
    {0x66a, 0x66a, direction::ET},      {0x66b, 0x66c, direction::AN},
    {0x66d, 0x66f, direction::AL},      {0x670, 0x670, direction::NSM},
    {0x671, 0x6d5, direction::AL},      {0x6d6, 0x6dc, direction::NSM},
    {0x6dd, 0x6dd, direction::AN},      {0x6de, 0x6de, direction::ON},
    {0x6df, 0x6e4, direction::NSM},     {0x6e5, 0x6e6, direction::AL},
    {0x6e7, 0x6e8, direction::NSM},     {0x6e9, 0x6e9, direction::ON},
    {0x6ea, 0x6ed, direction::NSM},     {0x6ee, 0x6ef, direction::AL},
    {0x6f0, 0x6f9, direction::EN},      {0x6fa, 0x70d, direction::AL},
    {0x70f, 0x710, direction::AL},      {0x711, 0x711, direction::NSM},
    {0x712, 0x72f, direction::AL},      {0x730, 0x74a, direction::NSM},
    {0x74d, 0x7a5, direction::AL},      {0x7a6, 0x7b0, direction::NSM},
    {0x7b1, 0x7b1, direction::AL},      {0x7c0, 0x7ea, direction::R},
    {0x7eb, 0x7f3, direction::NSM},     {0x7f4, 0x7f5, direction::R},
    {0x7f6, 0x7f9, direction::ON},      {0x7fa, 0x7fa, direction::R},
    {0x7fd, 0x7fd, direction::NSM},     {0x7fe, 0x815, direction::R},
    {0x816, 0x819, direction::NSM},     {0x81a, 0x81a, direction::R},
    {0x81b, 0x823, direction::NSM},     {0x824, 0x824, direction::R},
    {0x825, 0x827, direction::NSM},     {0x828, 0x828, direction::R},
    {0x829, 0x82d, direction::NSM},     {0x830, 0x83e, direction::R},
    {0x840, 0x858, direction::R},       {0x859, 0x85b, direction::NSM},
    {0x85e, 0x85e, direction::R},       {0x860, 0x86a, direction::AL},
    {0x8a0, 0x8b4, direction::AL},      {0x8b6, 0x8c7, direction::AL},
    {0x8d3, 0x8e1, direction::NSM},     {0x8e2, 0x8e2, direction::AN},
    {0x8e3, 0x902, direction::NSM},     {0x903, 0x939, direction::L},
    {0x93a, 0x93a, direction::NSM},     {0x93b, 0x93b, direction::L},
    {0x93c, 0x93c, direction::NSM},     {0x93d, 0x940, direction::L},
    {0x941, 0x948, direction::NSM},     {0x949, 0x94c, direction::L},
    {0x94d, 0x94d, direction::NSM},     {0x94e, 0x950, direction::L},
    {0x951, 0x957, direction::NSM},     {0x958, 0x961, direction::L},
    {0x962, 0x963, direction::NSM},     {0x964, 0x980, direction::L},
    {0x981, 0x981, direction::NSM},     {0x982, 0x983, direction::L},
    {0x985, 0x98c, direction::L},       {0x98f, 0x990, direction::L},
    {0x993, 0x9a8, direction::L},       {0x9aa, 0x9b0, direction::L},
    {0x9b2, 0x9b2, direction::L},       {0x9b6, 0x9b9, direction::L},
    {0x9bc, 0x9bc, direction::NSM},     {0x9bd, 0x9c0, direction::L},
    {0x9c1, 0x9c4, direction::NSM},     {0x9c7, 0x9c8, direction::L},
    {0x9cb, 0x9cc, direction::L},       {0x9cd, 0x9cd, direction::NSM},
    {0x9ce, 0x9ce, direction::L},       {0x9d7, 0x9d7, direction::L},
    {0x9dc, 0x9dd, direction::L},       {0x9df, 0x9e1, direction::L},
    {0x9e2, 0x9e3, direction::NSM},     {0x9e6, 0x9f1, direction::L},
    {0x9f2, 0x9f3, direction::ET},      {0x9f4, 0x9fa, direction::L},
    {0x9fb, 0x9fb, direction::ET},      {0x9fc, 0x9fd, direction::L},
    {0x9fe, 0x9fe, direction::NSM},     {0xa01, 0xa02, direction::NSM},
    {0xa03, 0xa03, direction::L},       {0xa05, 0xa0a, direction::L},
    {0xa0f, 0xa10, direction::L},       {0xa13, 0xa28, direction::L},
    {0xa2a, 0xa30, direction::L},       {0xa32, 0xa33, direction::L},
    {0xa35, 0xa36, direction::L},       {0xa38, 0xa39, direction::L},
    {0xa3c, 0xa3c, direction::NSM},     {0xa3e, 0xa40, direction::L},
    {0xa41, 0xa42, direction::NSM},     {0xa47, 0xa48, direction::NSM},
    {0xa4b, 0xa4d, direction::NSM},     {0xa51, 0xa51, direction::NSM},
    {0xa59, 0xa5c, direction::L},       {0xa5e, 0xa5e, direction::L},
    {0xa66, 0xa6f, direction::L},       {0xa70, 0xa71, direction::NSM},
    {0xa72, 0xa74, direction::L},       {0xa75, 0xa75, direction::NSM},
    {0xa76, 0xa76, direction::L},       {0xa81, 0xa82, direction::NSM},
    {0xa83, 0xa83, direction::L},       {0xa85, 0xa8d, direction::L},
    {0xa8f, 0xa91, direction::L},       {0xa93, 0xaa8, direction::L},
    {0xaaa, 0xab0, direction::L},       {0xab2, 0xab3, direction::L},
    {0xab5, 0xab9, direction::L},       {0xabc, 0xabc, direction::NSM},
    {0xabd, 0xac0, direction::L},       {0xac1, 0xac5, direction::NSM},
    {0xac7, 0xac8, direction::NSM},     {0xac9, 0xac9, direction::L},
    {0xacb, 0xacc, direction::L},       {0xacd, 0xacd, direction::NSM},
    {0xad0, 0xad0, direction::L},       {0xae0, 0xae1, direction::L},
    {0xae2, 0xae3, direction::NSM},     {0xae6, 0xaf0, direction::L},
    {0xaf1, 0xaf1, direction::ET},      {0xaf9, 0xaf9, direction::L},
    {0xafa, 0xaff, direction::NSM},     {0xb01, 0xb01, direction::NSM},
    {0xb02, 0xb03, direction::L},       {0xb05, 0xb0c, direction::L},
    {0xb0f, 0xb10, direction::L},       {0xb13, 0xb28, direction::L},
    {0xb2a, 0xb30, direction::L},       {0xb32, 0xb33, direction::L},
    {0xb35, 0xb39, direction::L},       {0xb3c, 0xb3c, direction::NSM},
    {0xb3d, 0xb3e, direction::L},       {0xb3f, 0xb3f, direction::NSM},
    {0xb40, 0xb40, direction::L},       {0xb41, 0xb44, direction::NSM},
    {0xb47, 0xb48, direction::L},       {0xb4b, 0xb4c, direction::L},
    {0xb4d, 0xb4d, direction::NSM},     {0xb55, 0xb56, direction::NSM},
    {0xb57, 0xb57, direction::L},       {0xb5c, 0xb5d, direction::L},
    {0xb5f, 0xb61, direction::L},       {0xb62, 0xb63, direction::NSM},
    {0xb66, 0xb77, direction::L},       {0xb82, 0xb82, direction::NSM},
    {0xb83, 0xb83, direction::L},       {0xb85, 0xb8a, direction::L},
    {0xb8e, 0xb90, direction::L},       {0xb92, 0xb95, direction::L},
    {0xb99, 0xb9a, direction::L},       {0xb9c, 0xb9c, direction::L},
    {0xb9e, 0xb9f, direction::L},       {0xba3, 0xba4, direction::L},
    {0xba8, 0xbaa, direction::L},       {0xbae, 0xbb9, direction::L},
    {0xbbe, 0xbbf, direction::L},       {0xbc0, 0xbc0, direction::NSM},
    {0xbc1, 0xbc2, direction::L},       {0xbc6, 0xbc8, direction::L},
    {0xbca, 0xbcc, direction::L},       {0xbcd, 0xbcd, direction::NSM},
    {0xbd0, 0xbd0, direction::L},       {0xbd7, 0xbd7, direction::L},
    {0xbe6, 0xbf2, direction::L},       {0xbf3, 0xbf8, direction::ON},
    {0xbf9, 0xbf9, direction::ET},      {0xbfa, 0xbfa, direction::ON},
    {0xc00, 0xc00, direction::NSM},     {0xc01, 0xc03, direction::L},
    {0xc04, 0xc04, direction::NSM},     {0xc05, 0xc0c, direction::L},
    {0xc0e, 0xc10, direction::L},       {0xc12, 0xc28, direction::L},
    {0xc2a, 0xc39, direction::L},       {0xc3d, 0xc3d, direction::L},
    {0xc3e, 0xc40, direction::NSM},     {0xc41, 0xc44, direction::L},
    {0xc46, 0xc48, direction::NSM},     {0xc4a, 0xc4d, direction::NSM},
    {0xc55, 0xc56, direction::NSM},     {0xc58, 0xc5a, direction::L},
    {0xc60, 0xc61, direction::L},       {0xc62, 0xc63, direction::NSM},
    {0xc66, 0xc6f, direction::L},       {0xc77, 0xc77, direction::L},
    {0xc78, 0xc7e, direction::ON},      {0xc7f, 0xc80, direction::L},
    {0xc81, 0xc81, direction::NSM},     {0xc82, 0xc8c, direction::L},
    {0xc8e, 0xc90, direction::L},       {0xc92, 0xca8, direction::L},
    {0xcaa, 0xcb3, direction::L},       {0xcb5, 0xcb9, direction::L},
    {0xcbc, 0xcbc, direction::NSM},     {0xcbd, 0xcc4, direction::L},
    {0xcc6, 0xcc8, direction::L},       {0xcca, 0xccb, direction::L},
    {0xccc, 0xccd, direction::NSM},     {0xcd5, 0xcd6, direction::L},
    {0xcde, 0xcde, direction::L},       {0xce0, 0xce1, direction::L},
    {0xce2, 0xce3, direction::NSM},     {0xce6, 0xcef, direction::L},
    {0xcf1, 0xcf2, direction::L},       {0xd00, 0xd01, direction::NSM},
    {0xd02, 0xd0c, direction::L},       {0xd0e, 0xd10, direction::L},
    {0xd12, 0xd3a, direction::L},       {0xd3b, 0xd3c, direction::NSM},
    {0xd3d, 0xd40, direction::L},       {0xd41, 0xd44, direction::NSM},
    {0xd46, 0xd48, direction::L},       {0xd4a, 0xd4c, direction::L},
    {0xd4d, 0xd4d, direction::NSM},     {0xd4e, 0xd4f, direction::L},
    {0xd54, 0xd61, direction::L},       {0xd62, 0xd63, direction::NSM},
    {0xd66, 0xd7f, direction::L},       {0xd81, 0xd81, direction::NSM},
    {0xd82, 0xd83, direction::L},       {0xd85, 0xd96, direction::L},
    {0xd9a, 0xdb1, direction::L},       {0xdb3, 0xdbb, direction::L},
    {0xdbd, 0xdbd, direction::L},       {0xdc0, 0xdc6, direction::L},
    {0xdca, 0xdca, direction::NSM},     {0xdcf, 0xdd1, direction::L},
    {0xdd2, 0xdd4, direction::NSM},     {0xdd6, 0xdd6, direction::NSM},
    {0xdd8, 0xddf, direction::L},       {0xde6, 0xdef, direction::L},
    {0xdf2, 0xdf4, direction::L},       {0xe01, 0xe30, direction::L},
    {0xe31, 0xe31, direction::NSM},     {0xe32, 0xe33, direction::L},
    {0xe34, 0xe3a, direction::NSM},     {0xe3f, 0xe3f, direction::ET},
    {0xe40, 0xe46, direction::L},       {0xe47, 0xe4e, direction::NSM},
    {0xe4f, 0xe5b, direction::L},       {0xe81, 0xe82, direction::L},
    {0xe84, 0xe84, direction::L},       {0xe86, 0xe8a, direction::L},
    {0xe8c, 0xea3, direction::L},       {0xea5, 0xea5, direction::L},
    {0xea7, 0xeb0, direction::L},       {0xeb1, 0xeb1, direction::NSM},
    {0xeb2, 0xeb3, direction::L},       {0xeb4, 0xebc, direction::NSM},
    {0xebd, 0xebd, direction::L},       {0xec0, 0xec4, direction::L},
    {0xec6, 0xec6, direction::L},       {0xec8, 0xecd, direction::NSM},
    {0xed0, 0xed9, direction::L},       {0xedc, 0xedf, direction::L},
    {0xf00, 0xf17, direction::L},       {0xf18, 0xf19, direction::NSM},
    {0xf1a, 0xf34, direction::L},       {0xf35, 0xf35, direction::NSM},
    {0xf36, 0xf36, direction::L},       {0xf37, 0xf37, direction::NSM},
    {0xf38, 0xf38, direction::L},       {0xf39, 0xf39, direction::NSM},
    {0xf3a, 0xf3d, direction::ON},      {0xf3e, 0xf47, direction::L},
    {0xf49, 0xf6c, direction::L},       {0xf71, 0xf7e, direction::NSM},
    {0xf7f, 0xf7f, direction::L},       {0xf80, 0xf84, direction::NSM},
    {0xf85, 0xf85, direction::L},       {0xf86, 0xf87, direction::NSM},
    {0xf88, 0xf8c, direction::L},       {0xf8d, 0xf97, direction::NSM},
    {0xf99, 0xfbc, direction::NSM},     {0xfbe, 0xfc5, direction::L},
    {0xfc6, 0xfc6, direction::NSM},     {0xfc7, 0xfcc, direction::L},
    {0xfce, 0xfda, direction::L},       {0x1000, 0x102c, direction::L},
    {0x102d, 0x1030, direction::NSM},   {0x1031, 0x1031, direction::L},
    {0x1032, 0x1037, direction::NSM},   {0x1038, 0x1038, direction::L},
    {0x1039, 0x103a, direction::NSM},   {0x103b, 0x103c, direction::L},
    {0x103d, 0x103e, direction::NSM},   {0x103f, 0x1057, direction::L},
    {0x1058, 0x1059, direction::NSM},   {0x105a, 0x105d, direction::L},
    {0x105e, 0x1060, direction::NSM},   {0x1061, 0x1070, direction::L},
    {0x1071, 0x1074, direction::NSM},   {0x1075, 0x1081, direction::L},
    {0x1082, 0x1082, direction::NSM},   {0x1083, 0x1084, direction::L},
    {0x1085, 0x1086, direction::NSM},   {0x1087, 0x108c, direction::L},
    {0x108d, 0x108d, direction::NSM},   {0x108e, 0x109c, direction::L},
    {0x109d, 0x109d, direction::NSM},   {0x109e, 0x10c5, direction::L},
    {0x10c7, 0x10c7, direction::L},     {0x10cd, 0x10cd, direction::L},
    {0x10d0, 0x1248, direction::L},     {0x124a, 0x124d, direction::L},
    {0x1250, 0x1256, direction::L},     {0x1258, 0x1258, direction::L},
    {0x125a, 0x125d, direction::L},     {0x1260, 0x1288, direction::L},
    {0x128a, 0x128d, direction::L},     {0x1290, 0x12b0, direction::L},
    {0x12b2, 0x12b5, direction::L},     {0x12b8, 0x12be, direction::L},
    {0x12c0, 0x12c0, direction::L},     {0x12c2, 0x12c5, direction::L},
    {0x12c8, 0x12d6, direction::L},     {0x12d8, 0x1310, direction::L},
    {0x1312, 0x1315, direction::L},     {0x1318, 0x135a, direction::L},
    {0x135d, 0x135f, direction::NSM},   {0x1360, 0x137c, direction::L},
    {0x1380, 0x138f, direction::L},     {0x1390, 0x1399, direction::ON},
    {0x13a0, 0x13f5, direction::L},     {0x13f8, 0x13fd, direction::L},
    {0x1400, 0x1400, direction::ON},    {0x1401, 0x167f, direction::L},
    {0x1680, 0x1680, direction::WS},    {0x1681, 0x169a, direction::L},
    {0x169b, 0x169c, direction::ON},    {0x16a0, 0x16f8, direction::L},
    {0x1700, 0x170c, direction::L},     {0x170e, 0x1711, direction::L},
    {0x1712, 0x1714, direction::NSM},   {0x1720, 0x1731, direction::L},
    {0x1732, 0x1734, direction::NSM},   {0x1735, 0x1736, direction::L},
    {0x1740, 0x1751, direction::L},     {0x1752, 0x1753, direction::NSM},
    {0x1760, 0x176c, direction::L},     {0x176e, 0x1770, direction::L},
    {0x1772, 0x1773, direction::NSM},   {0x1780, 0x17b3, direction::L},
    {0x17b4, 0x17b5, direction::NSM},   {0x17b6, 0x17b6, direction::L},
    {0x17b7, 0x17bd, direction::NSM},   {0x17be, 0x17c5, direction::L},
    {0x17c6, 0x17c6, direction::NSM},   {0x17c7, 0x17c8, direction::L},
    {0x17c9, 0x17d3, direction::NSM},   {0x17d4, 0x17da, direction::L},
    {0x17db, 0x17db, direction::ET},    {0x17dc, 0x17dc, direction::L},
    {0x17dd, 0x17dd, direction::NSM},   {0x17e0, 0x17e9, direction::L},
    {0x17f0, 0x17f9, direction::ON},    {0x1800, 0x180a, direction::ON},
    {0x180b, 0x180d, direction::NSM},   {0x180e, 0x180e, direction::BN},
    {0x1810, 0x1819, direction::L},     {0x1820, 0x1878, direction::L},
    {0x1880, 0x1884, direction::L},     {0x1885, 0x1886, direction::NSM},
    {0x1887, 0x18a8, direction::L},     {0x18a9, 0x18a9, direction::NSM},
    {0x18aa, 0x18aa, direction::L},     {0x18b0, 0x18f5, direction::L},
    {0x1900, 0x191e, direction::L},     {0x1920, 0x1922, direction::NSM},
    {0x1923, 0x1926, direction::L},     {0x1927, 0x1928, direction::NSM},
    {0x1929, 0x192b, direction::L},     {0x1930, 0x1931, direction::L},
    {0x1932, 0x1932, direction::NSM},   {0x1933, 0x1938, direction::L},
    {0x1939, 0x193b, direction::NSM},   {0x1940, 0x1940, direction::ON},
    {0x1944, 0x1945, direction::ON},    {0x1946, 0x196d, direction::L},
    {0x1970, 0x1974, direction::L},     {0x1980, 0x19ab, direction::L},
    {0x19b0, 0x19c9, direction::L},     {0x19d0, 0x19da, direction::L},
    {0x19de, 0x19ff, direction::ON},    {0x1a00, 0x1a16, direction::L},
    {0x1a17, 0x1a18, direction::NSM},   {0x1a19, 0x1a1a, direction::L},
    {0x1a1b, 0x1a1b, direction::NSM},   {0x1a1e, 0x1a55, direction::L},
    {0x1a56, 0x1a56, direction::NSM},   {0x1a57, 0x1a57, direction::L},
    {0x1a58, 0x1a5e, direction::NSM},   {0x1a60, 0x1a60, direction::NSM},
    {0x1a61, 0x1a61, direction::L},     {0x1a62, 0x1a62, direction::NSM},
    {0x1a63, 0x1a64, direction::L},     {0x1a65, 0x1a6c, direction::NSM},
    {0x1a6d, 0x1a72, direction::L},     {0x1a73, 0x1a7c, direction::NSM},
    {0x1a7f, 0x1a7f, direction::NSM},   {0x1a80, 0x1a89, direction::L},
    {0x1a90, 0x1a99, direction::L},     {0x1aa0, 0x1aad, direction::L},
    {0x1ab0, 0x1ac0, direction::NSM},   {0x1b00, 0x1b03, direction::NSM},
    {0x1b04, 0x1b33, direction::L},     {0x1b34, 0x1b34, direction::NSM},
    {0x1b35, 0x1b35, direction::L},     {0x1b36, 0x1b3a, direction::NSM},
    {0x1b3b, 0x1b3b, direction::L},     {0x1b3c, 0x1b3c, direction::NSM},
    {0x1b3d, 0x1b41, direction::L},     {0x1b42, 0x1b42, direction::NSM},
    {0x1b43, 0x1b4b, direction::L},     {0x1b50, 0x1b6a, direction::L},
    {0x1b6b, 0x1b73, direction::NSM},   {0x1b74, 0x1b7c, direction::L},
    {0x1b80, 0x1b81, direction::NSM},   {0x1b82, 0x1ba1, direction::L},
    {0x1ba2, 0x1ba5, direction::NSM},   {0x1ba6, 0x1ba7, direction::L},
    {0x1ba8, 0x1ba9, direction::NSM},   {0x1baa, 0x1baa, direction::L},
    {0x1bab, 0x1bad, direction::NSM},   {0x1bae, 0x1be5, direction::L},
    {0x1be6, 0x1be6, direction::NSM},   {0x1be7, 0x1be7, direction::L},
    {0x1be8, 0x1be9, direction::NSM},   {0x1bea, 0x1bec, direction::L},
    {0x1bed, 0x1bed, direction::NSM},   {0x1bee, 0x1bee, direction::L},
    {0x1bef, 0x1bf1, direction::NSM},   {0x1bf2, 0x1bf3, direction::L},
    {0x1bfc, 0x1c2b, direction::L},     {0x1c2c, 0x1c33, direction::NSM},
    {0x1c34, 0x1c35, direction::L},     {0x1c36, 0x1c37, direction::NSM},
    {0x1c3b, 0x1c49, direction::L},     {0x1c4d, 0x1c88, direction::L},
    {0x1c90, 0x1cba, direction::L},     {0x1cbd, 0x1cc7, direction::L},
    {0x1cd0, 0x1cd2, direction::NSM},   {0x1cd3, 0x1cd3, direction::L},
    {0x1cd4, 0x1ce0, direction::NSM},   {0x1ce1, 0x1ce1, direction::L},
    {0x1ce2, 0x1ce8, direction::NSM},   {0x1ce9, 0x1cec, direction::L},
    {0x1ced, 0x1ced, direction::NSM},   {0x1cee, 0x1cf3, direction::L},
    {0x1cf4, 0x1cf4, direction::NSM},   {0x1cf5, 0x1cf7, direction::L},
    {0x1cf8, 0x1cf9, direction::NSM},   {0x1cfa, 0x1cfa, direction::L},
    {0x1d00, 0x1dbf, direction::L},     {0x1dc0, 0x1df9, direction::NSM},
    {0x1dfb, 0x1dff, direction::NSM},   {0x1e00, 0x1f15, direction::L},
    {0x1f18, 0x1f1d, direction::L},     {0x1f20, 0x1f45, direction::L},
    {0x1f48, 0x1f4d, direction::L},     {0x1f50, 0x1f57, direction::L},
    {0x1f59, 0x1f59, direction::L},     {0x1f5b, 0x1f5b, direction::L},
    {0x1f5d, 0x1f5d, direction::L},     {0x1f5f, 0x1f7d, direction::L},
    {0x1f80, 0x1fb4, direction::L},     {0x1fb6, 0x1fbc, direction::L},
    {0x1fbd, 0x1fbd, direction::ON},    {0x1fbe, 0x1fbe, direction::L},
    {0x1fbf, 0x1fc1, direction::ON},    {0x1fc2, 0x1fc4, direction::L},
    {0x1fc6, 0x1fcc, direction::L},     {0x1fcd, 0x1fcf, direction::ON},
    {0x1fd0, 0x1fd3, direction::L},     {0x1fd6, 0x1fdb, direction::L},
    {0x1fdd, 0x1fdf, direction::ON},    {0x1fe0, 0x1fec, direction::L},
    {0x1fed, 0x1fef, direction::ON},    {0x1ff2, 0x1ff4, direction::L},
    {0x1ff6, 0x1ffc, direction::L},     {0x1ffd, 0x1ffe, direction::ON},
    {0x2000, 0x200a, direction::WS},    {0x200b, 0x200d, direction::BN},
    {0x200e, 0x200e, direction::L},     {0x200f, 0x200f, direction::R},
    {0x2010, 0x2027, direction::ON},    {0x2028, 0x2028, direction::WS},
    {0x2029, 0x2029, direction::B},     {0x202a, 0x202a, direction::LRE},
    {0x202b, 0x202b, direction::RLE},   {0x202c, 0x202c, direction::PDF},
    {0x202d, 0x202d, direction::LRO},   {0x202e, 0x202e, direction::RLO},
    {0x202f, 0x202f, direction::CS},    {0x2030, 0x2034, direction::ET},
    {0x2035, 0x2043, direction::ON},    {0x2044, 0x2044, direction::CS},
    {0x2045, 0x205e, direction::ON},    {0x205f, 0x205f, direction::WS},
    {0x2060, 0x2064, direction::BN},    {0x2066, 0x2066, direction::LRI},
    {0x2067, 0x2067, direction::RLI},   {0x2068, 0x2068, direction::FSI},
    {0x2069, 0x2069, direction::PDI},   {0x206a, 0x206f, direction::BN},
    {0x2070, 0x2070, direction::EN},    {0x2071, 0x2071, direction::L},
    {0x2074, 0x2079, direction::EN},    {0x207a, 0x207b, direction::ES},
    {0x207c, 0x207e, direction::ON},    {0x207f, 0x207f, direction::L},
    {0x2080, 0x2089, direction::EN},    {0x208a, 0x208b, direction::ES},
    {0x208c, 0x208e, direction::ON},    {0x2090, 0x209c, direction::L},
    {0x20a0, 0x20bf, direction::ET},    {0x20d0, 0x20f0, direction::NSM},
    {0x2100, 0x2101, direction::ON},    {0x2102, 0x2102, direction::L},
    {0x2103, 0x2106, direction::ON},    {0x2107, 0x2107, direction::L},
    {0x2108, 0x2109, direction::ON},    {0x210a, 0x2113, direction::L},
    {0x2114, 0x2114, direction::ON},    {0x2115, 0x2115, direction::L},
    {0x2116, 0x2118, direction::ON},    {0x2119, 0x211d, direction::L},
    {0x211e, 0x2123, direction::ON},    {0x2124, 0x2124, direction::L},
    {0x2125, 0x2125, direction::ON},    {0x2126, 0x2126, direction::L},
    {0x2127, 0x2127, direction::ON},    {0x2128, 0x2128, direction::L},
    {0x2129, 0x2129, direction::ON},    {0x212a, 0x212d, direction::L},
    {0x212e, 0x212e, direction::ET},    {0x212f, 0x2139, direction::L},
    {0x213a, 0x213b, direction::ON},    {0x213c, 0x213f, direction::L},
    {0x2140, 0x2144, direction::ON},    {0x2145, 0x2149, direction::L},
    {0x214a, 0x214d, direction::ON},    {0x214e, 0x214f, direction::L},
    {0x2150, 0x215f, direction::ON},    {0x2160, 0x2188, direction::L},
    {0x2189, 0x218b, direction::ON},    {0x2190, 0x2211, direction::ON},
    {0x2212, 0x2212, direction::ES},    {0x2213, 0x2213, direction::ET},
    {0x2214, 0x2335, direction::ON},    {0x2336, 0x237a, direction::L},
    {0x237b, 0x2394, direction::ON},    {0x2395, 0x2395, direction::L},
    {0x2396, 0x2426, direction::ON},    {0x2440, 0x244a, direction::ON},
    {0x2460, 0x2487, direction::ON},    {0x2488, 0x249b, direction::EN},
    {0x249c, 0x24e9, direction::L},     {0x24ea, 0x26ab, direction::ON},
    {0x26ac, 0x26ac, direction::L},     {0x26ad, 0x27ff, direction::ON},
    {0x2800, 0x28ff, direction::L},     {0x2900, 0x2b73, direction::ON},
    {0x2b76, 0x2b95, direction::ON},    {0x2b97, 0x2bff, direction::ON},
    {0x2c00, 0x2c2e, direction::L},     {0x2c30, 0x2c5e, direction::L},
    {0x2c60, 0x2ce4, direction::L},     {0x2ce5, 0x2cea, direction::ON},
    {0x2ceb, 0x2cee, direction::L},     {0x2cef, 0x2cf1, direction::NSM},
    {0x2cf2, 0x2cf3, direction::L},     {0x2cf9, 0x2cff, direction::ON},
    {0x2d00, 0x2d25, direction::L},     {0x2d27, 0x2d27, direction::L},
    {0x2d2d, 0x2d2d, direction::L},     {0x2d30, 0x2d67, direction::L},
    {0x2d6f, 0x2d70, direction::L},     {0x2d7f, 0x2d7f, direction::NSM},
    {0x2d80, 0x2d96, direction::L},     {0x2da0, 0x2da6, direction::L},
    {0x2da8, 0x2dae, direction::L},     {0x2db0, 0x2db6, direction::L},
    {0x2db8, 0x2dbe, direction::L},     {0x2dc0, 0x2dc6, direction::L},
    {0x2dc8, 0x2dce, direction::L},     {0x2dd0, 0x2dd6, direction::L},
    {0x2dd8, 0x2dde, direction::L},     {0x2de0, 0x2dff, direction::NSM},
    {0x2e00, 0x2e52, direction::ON},    {0x2e80, 0x2e99, direction::ON},
    {0x2e9b, 0x2ef3, direction::ON},    {0x2f00, 0x2fd5, direction::ON},
    {0x2ff0, 0x2ffb, direction::ON},    {0x3000, 0x3000, direction::WS},
    {0x3001, 0x3004, direction::ON},    {0x3005, 0x3007, direction::L},
    {0x3008, 0x3020, direction::ON},    {0x3021, 0x3029, direction::L},
    {0x302a, 0x302d, direction::NSM},   {0x302e, 0x302f, direction::L},
    {0x3030, 0x3030, direction::ON},    {0x3031, 0x3035, direction::L},
    {0x3036, 0x3037, direction::ON},    {0x3038, 0x303c, direction::L},
    {0x303d, 0x303f, direction::ON},    {0x3041, 0x3096, direction::L},
    {0x3099, 0x309a, direction::NSM},   {0x309b, 0x309c, direction::ON},
    {0x309d, 0x309f, direction::L},     {0x30a0, 0x30a0, direction::ON},
    {0x30a1, 0x30fa, direction::L},     {0x30fb, 0x30fb, direction::ON},
    {0x30fc, 0x30ff, direction::L},     {0x3105, 0x312f, direction::L},
    {0x3131, 0x318e, direction::L},     {0x3190, 0x31bf, direction::L},
    {0x31c0, 0x31e3, direction::ON},    {0x31f0, 0x321c, direction::L},
    {0x321d, 0x321e, direction::ON},    {0x3220, 0x324f, direction::L},
    {0x3250, 0x325f, direction::ON},    {0x3260, 0x327b, direction::L},
    {0x327c, 0x327e, direction::ON},    {0x327f, 0x32b0, direction::L},
    {0x32b1, 0x32bf, direction::ON},    {0x32c0, 0x32cb, direction::L},
    {0x32cc, 0x32cf, direction::ON},    {0x32d0, 0x3376, direction::L},
    {0x3377, 0x337a, direction::ON},    {0x337b, 0x33dd, direction::L},
    {0x33de, 0x33df, direction::ON},    {0x33e0, 0x33fe, direction::L},
    {0x33ff, 0x33ff, direction::ON},    {0x3400, 0x4dbf, direction::L},
    {0x4dc0, 0x4dff, direction::ON},    {0x4e00, 0x9ffc, direction::L},
    {0xa000, 0xa48c, direction::L},     {0xa490, 0xa4c6, direction::ON},
    {0xa4d0, 0xa60c, direction::L},     {0xa60d, 0xa60f, direction::ON},
    {0xa610, 0xa62b, direction::L},     {0xa640, 0xa66e, direction::L},
    {0xa66f, 0xa672, direction::NSM},   {0xa673, 0xa673, direction::ON},
    {0xa674, 0xa67d, direction::NSM},   {0xa67e, 0xa67f, direction::ON},
    {0xa680, 0xa69d, direction::L},     {0xa69e, 0xa69f, direction::NSM},
    {0xa6a0, 0xa6ef, direction::L},     {0xa6f0, 0xa6f1, direction::NSM},
    {0xa6f2, 0xa6f7, direction::L},     {0xa700, 0xa721, direction::ON},
    {0xa722, 0xa787, direction::L},     {0xa788, 0xa788, direction::ON},
    {0xa789, 0xa7bf, direction::L},     {0xa7c2, 0xa7ca, direction::L},
    {0xa7f5, 0xa801, direction::L},     {0xa802, 0xa802, direction::NSM},
    {0xa803, 0xa805, direction::L},     {0xa806, 0xa806, direction::NSM},
    {0xa807, 0xa80a, direction::L},     {0xa80b, 0xa80b, direction::NSM},
    {0xa80c, 0xa824, direction::L},     {0xa825, 0xa826, direction::NSM},
    {0xa827, 0xa827, direction::L},     {0xa828, 0xa82b, direction::ON},
    {0xa82c, 0xa82c, direction::NSM},   {0xa830, 0xa837, direction::L},
    {0xa838, 0xa839, direction::ET},    {0xa840, 0xa873, direction::L},
    {0xa874, 0xa877, direction::ON},    {0xa880, 0xa8c3, direction::L},
    {0xa8c4, 0xa8c5, direction::NSM},   {0xa8ce, 0xa8d9, direction::L},
    {0xa8e0, 0xa8f1, direction::NSM},   {0xa8f2, 0xa8fe, direction::L},
    {0xa8ff, 0xa8ff, direction::NSM},   {0xa900, 0xa925, direction::L},
    {0xa926, 0xa92d, direction::NSM},   {0xa92e, 0xa946, direction::L},
    {0xa947, 0xa951, direction::NSM},   {0xa952, 0xa953, direction::L},
    {0xa95f, 0xa97c, direction::L},     {0xa980, 0xa982, direction::NSM},
    {0xa983, 0xa9b2, direction::L},     {0xa9b3, 0xa9b3, direction::NSM},
    {0xa9b4, 0xa9b5, direction::L},     {0xa9b6, 0xa9b9, direction::NSM},
    {0xa9ba, 0xa9bb, direction::L},     {0xa9bc, 0xa9bd, direction::NSM},
    {0xa9be, 0xa9cd, direction::L},     {0xa9cf, 0xa9d9, direction::L},
    {0xa9de, 0xa9e4, direction::L},     {0xa9e5, 0xa9e5, direction::NSM},
    {0xa9e6, 0xa9fe, direction::L},     {0xaa00, 0xaa28, direction::L},
    {0xaa29, 0xaa2e, direction::NSM},   {0xaa2f, 0xaa30, direction::L},
    {0xaa31, 0xaa32, direction::NSM},   {0xaa33, 0xaa34, direction::L},
    {0xaa35, 0xaa36, direction::NSM},   {0xaa40, 0xaa42, direction::L},
    {0xaa43, 0xaa43, direction::NSM},   {0xaa44, 0xaa4b, direction::L},
    {0xaa4c, 0xaa4c, direction::NSM},   {0xaa4d, 0xaa4d, direction::L},
    {0xaa50, 0xaa59, direction::L},     {0xaa5c, 0xaa7b, direction::L},
    {0xaa7c, 0xaa7c, direction::NSM},   {0xaa7d, 0xaaaf, direction::L},
    {0xaab0, 0xaab0, direction::NSM},   {0xaab1, 0xaab1, direction::L},
    {0xaab2, 0xaab4, direction::NSM},   {0xaab5, 0xaab6, direction::L},
    {0xaab7, 0xaab8, direction::NSM},   {0xaab9, 0xaabd, direction::L},
    {0xaabe, 0xaabf, direction::NSM},   {0xaac0, 0xaac0, direction::L},
    {0xaac1, 0xaac1, direction::NSM},   {0xaac2, 0xaac2, direction::L},
    {0xaadb, 0xaaeb, direction::L},     {0xaaec, 0xaaed, direction::NSM},
    {0xaaee, 0xaaf5, direction::L},     {0xaaf6, 0xaaf6, direction::NSM},
    {0xab01, 0xab06, direction::L},     {0xab09, 0xab0e, direction::L},
    {0xab11, 0xab16, direction::L},     {0xab20, 0xab26, direction::L},
    {0xab28, 0xab2e, direction::L},     {0xab30, 0xab69, direction::L},
    {0xab6a, 0xab6b, direction::ON},    {0xab70, 0xabe4, direction::L},
    {0xabe5, 0xabe5, direction::NSM},   {0xabe6, 0xabe7, direction::L},
    {0xabe8, 0xabe8, direction::NSM},   {0xabe9, 0xabec, direction::L},
    {0xabed, 0xabed, direction::NSM},   {0xabf0, 0xabf9, direction::L},
    {0xac00, 0xd7a3, direction::L},     {0xd7b0, 0xd7c6, direction::L},
    {0xd7cb, 0xd7fb, direction::L},     {0xd800, 0xfa6d, direction::L},
    {0xfa70, 0xfad9, direction::L},     {0xfb00, 0xfb06, direction::L},
    {0xfb13, 0xfb17, direction::L},     {0xfb1d, 0xfb1d, direction::R},
    {0xfb1e, 0xfb1e, direction::NSM},   {0xfb1f, 0xfb28, direction::R},
    {0xfb29, 0xfb29, direction::ES},    {0xfb2a, 0xfb36, direction::R},
    {0xfb38, 0xfb3c, direction::R},     {0xfb3e, 0xfb3e, direction::R},
    {0xfb40, 0xfb41, direction::R},     {0xfb43, 0xfb44, direction::R},
    {0xfb46, 0xfb4f, direction::R},     {0xfb50, 0xfbc1, direction::AL},
    {0xfbd3, 0xfd3d, direction::AL},    {0xfd3e, 0xfd3f, direction::ON},
    {0xfd50, 0xfd8f, direction::AL},    {0xfd92, 0xfdc7, direction::AL},
    {0xfdf0, 0xfdfc, direction::AL},    {0xfdfd, 0xfdfd, direction::ON},
    {0xfe00, 0xfe0f, direction::NSM},   {0xfe10, 0xfe19, direction::ON},
    {0xfe20, 0xfe2f, direction::NSM},   {0xfe30, 0xfe4f, direction::ON},
    {0xfe50, 0xfe50, direction::CS},    {0xfe51, 0xfe51, direction::ON},
    {0xfe52, 0xfe52, direction::CS},    {0xfe54, 0xfe54, direction::ON},
    {0xfe55, 0xfe55, direction::CS},    {0xfe56, 0xfe5e, direction::ON},
    {0xfe5f, 0xfe5f, direction::ET},    {0xfe60, 0xfe61, direction::ON},
    {0xfe62, 0xfe63, direction::ES},    {0xfe64, 0xfe66, direction::ON},
    {0xfe68, 0xfe68, direction::ON},    {0xfe69, 0xfe6a, direction::ET},
    {0xfe6b, 0xfe6b, direction::ON},    {0xfe70, 0xfe74, direction::AL},
    {0xfe76, 0xfefc, direction::AL},    {0xfeff, 0xfeff, direction::BN},
    {0xff01, 0xff02, direction::ON},    {0xff03, 0xff05, direction::ET},
    {0xff06, 0xff0a, direction::ON},    {0xff0b, 0xff0b, direction::ES},
    {0xff0c, 0xff0c, direction::CS},    {0xff0d, 0xff0d, direction::ES},
    {0xff0e, 0xff0f, direction::CS},    {0xff10, 0xff19, direction::EN},
    {0xff1a, 0xff1a, direction::CS},    {0xff1b, 0xff20, direction::ON},
    {0xff21, 0xff3a, direction::L},     {0xff3b, 0xff40, direction::ON},
    {0xff41, 0xff5a, direction::L},     {0xff5b, 0xff65, direction::ON},
    {0xff66, 0xffbe, direction::L},     {0xffc2, 0xffc7, direction::L},
    {0xffca, 0xffcf, direction::L},     {0xffd2, 0xffd7, direction::L},
    {0xffda, 0xffdc, direction::L},     {0xffe0, 0xffe1, direction::ET},
    {0xffe2, 0xffe4, direction::ON},    {0xffe5, 0xffe6, direction::ET},
    {0xffe8, 0xffee, direction::ON},    {0xfff9, 0xfffd, direction::ON},
    {0x10000, 0x1000b, direction::L},   {0x1000d, 0x10026, direction::L},
    {0x10028, 0x1003a, direction::L},   {0x1003c, 0x1003d, direction::L},
    {0x1003f, 0x1004d, direction::L},   {0x10050, 0x1005d, direction::L},
    {0x10080, 0x100fa, direction::L},   {0x10100, 0x10100, direction::L},
    {0x10101, 0x10101, direction::ON},  {0x10102, 0x10102, direction::L},
    {0x10107, 0x10133, direction::L},   {0x10137, 0x1013f, direction::L},
    {0x10140, 0x1018c, direction::ON},  {0x1018d, 0x1018e, direction::L},
    {0x10190, 0x1019c, direction::ON},  {0x101a0, 0x101a0, direction::ON},
    {0x101d0, 0x101fc, direction::L},   {0x101fd, 0x101fd, direction::NSM},
    {0x10280, 0x1029c, direction::L},   {0x102a0, 0x102d0, direction::L},
    {0x102e0, 0x102e0, direction::NSM}, {0x102e1, 0x102fb, direction::EN},
    {0x10300, 0x10323, direction::L},   {0x1032d, 0x1034a, direction::L},
    {0x10350, 0x10375, direction::L},   {0x10376, 0x1037a, direction::NSM},
    {0x10380, 0x1039d, direction::L},   {0x1039f, 0x103c3, direction::L},
    {0x103c8, 0x103d5, direction::L},   {0x10400, 0x1049d, direction::L},
    {0x104a0, 0x104a9, direction::L},   {0x104b0, 0x104d3, direction::L},
    {0x104d8, 0x104fb, direction::L},   {0x10500, 0x10527, direction::L},
    {0x10530, 0x10563, direction::L},   {0x1056f, 0x1056f, direction::L},
    {0x10600, 0x10736, direction::L},   {0x10740, 0x10755, direction::L},
    {0x10760, 0x10767, direction::L},   {0x10800, 0x10805, direction::R},
    {0x10808, 0x10808, direction::R},   {0x1080a, 0x10835, direction::R},
    {0x10837, 0x10838, direction::R},   {0x1083c, 0x1083c, direction::R},
    {0x1083f, 0x10855, direction::R},   {0x10857, 0x1089e, direction::R},
    {0x108a7, 0x108af, direction::R},   {0x108e0, 0x108f2, direction::R},
    {0x108f4, 0x108f5, direction::R},   {0x108fb, 0x1091b, direction::R},
    {0x1091f, 0x1091f, direction::ON},  {0x10920, 0x10939, direction::R},
    {0x1093f, 0x1093f, direction::R},   {0x10980, 0x109b7, direction::R},
    {0x109bc, 0x109cf, direction::R},   {0x109d2, 0x10a00, direction::R},
    {0x10a01, 0x10a03, direction::NSM}, {0x10a05, 0x10a06, direction::NSM},
    {0x10a0c, 0x10a0f, direction::NSM}, {0x10a10, 0x10a13, direction::R},
    {0x10a15, 0x10a17, direction::R},   {0x10a19, 0x10a35, direction::R},
    {0x10a38, 0x10a3a, direction::NSM}, {0x10a3f, 0x10a3f, direction::NSM},
    {0x10a40, 0x10a48, direction::R},   {0x10a50, 0x10a58, direction::R},
    {0x10a60, 0x10a9f, direction::R},   {0x10ac0, 0x10ae4, direction::R},
    {0x10ae5, 0x10ae6, direction::NSM}, {0x10aeb, 0x10af6, direction::R},
    {0x10b00, 0x10b35, direction::R},   {0x10b39, 0x10b3f, direction::ON},
    {0x10b40, 0x10b55, direction::R},   {0x10b58, 0x10b72, direction::R},
    {0x10b78, 0x10b91, direction::R},   {0x10b99, 0x10b9c, direction::R},
    {0x10ba9, 0x10baf, direction::R},   {0x10c00, 0x10c48, direction::R},
    {0x10c80, 0x10cb2, direction::R},   {0x10cc0, 0x10cf2, direction::R},
    {0x10cfa, 0x10cff, direction::R},   {0x10d00, 0x10d23, direction::AL},
    {0x10d24, 0x10d27, direction::NSM}, {0x10d30, 0x10d39, direction::AN},
    {0x10e60, 0x10e7e, direction::AN},  {0x10e80, 0x10ea9, direction::R},
    {0x10eab, 0x10eac, direction::NSM}, {0x10ead, 0x10ead, direction::R},
    {0x10eb0, 0x10eb1, direction::R},   {0x10f00, 0x10f27, direction::R},
    {0x10f30, 0x10f45, direction::AL},  {0x10f46, 0x10f50, direction::NSM},
    {0x10f51, 0x10f59, direction::AL},  {0x10fb0, 0x10fcb, direction::R},
    {0x10fe0, 0x10ff6, direction::R},   {0x11000, 0x11000, direction::L},
    {0x11001, 0x11001, direction::NSM}, {0x11002, 0x11037, direction::L},
    {0x11038, 0x11046, direction::NSM}, {0x11047, 0x1104d, direction::L},
    {0x11052, 0x11065, direction::ON},  {0x11066, 0x1106f, direction::L},
    {0x1107f, 0x11081, direction::NSM}, {0x11082, 0x110b2, direction::L},
    {0x110b3, 0x110b6, direction::NSM}, {0x110b7, 0x110b8, direction::L},
    {0x110b9, 0x110ba, direction::NSM}, {0x110bb, 0x110c1, direction::L},
    {0x110cd, 0x110cd, direction::L},   {0x110d0, 0x110e8, direction::L},
    {0x110f0, 0x110f9, direction::L},   {0x11100, 0x11102, direction::NSM},
    {0x11103, 0x11126, direction::L},   {0x11127, 0x1112b, direction::NSM},
    {0x1112c, 0x1112c, direction::L},   {0x1112d, 0x11134, direction::NSM},
    {0x11136, 0x11147, direction::L},   {0x11150, 0x11172, direction::L},
    {0x11173, 0x11173, direction::NSM}, {0x11174, 0x11176, direction::L},
    {0x11180, 0x11181, direction::NSM}, {0x11182, 0x111b5, direction::L},
    {0x111b6, 0x111be, direction::NSM}, {0x111bf, 0x111c8, direction::L},
    {0x111c9, 0x111cc, direction::NSM}, {0x111cd, 0x111ce, direction::L},
    {0x111cf, 0x111cf, direction::NSM}, {0x111d0, 0x111df, direction::L},
    {0x111e1, 0x111f4, direction::L},   {0x11200, 0x11211, direction::L},
    {0x11213, 0x1122e, direction::L},   {0x1122f, 0x11231, direction::NSM},
    {0x11232, 0x11233, direction::L},   {0x11234, 0x11234, direction::NSM},
    {0x11235, 0x11235, direction::L},   {0x11236, 0x11237, direction::NSM},
    {0x11238, 0x1123d, direction::L},   {0x1123e, 0x1123e, direction::NSM},
    {0x11280, 0x11286, direction::L},   {0x11288, 0x11288, direction::L},
    {0x1128a, 0x1128d, direction::L},   {0x1128f, 0x1129d, direction::L},
    {0x1129f, 0x112a9, direction::L},   {0x112b0, 0x112de, direction::L},
    {0x112df, 0x112df, direction::NSM}, {0x112e0, 0x112e2, direction::L},
    {0x112e3, 0x112ea, direction::NSM}, {0x112f0, 0x112f9, direction::L},
    {0x11300, 0x11301, direction::NSM}, {0x11302, 0x11303, direction::L},
    {0x11305, 0x1130c, direction::L},   {0x1130f, 0x11310, direction::L},
    {0x11313, 0x11328, direction::L},   {0x1132a, 0x11330, direction::L},
    {0x11332, 0x11333, direction::L},   {0x11335, 0x11339, direction::L},
    {0x1133b, 0x1133c, direction::NSM}, {0x1133d, 0x1133f, direction::L},
    {0x11340, 0x11340, direction::NSM}, {0x11341, 0x11344, direction::L},
    {0x11347, 0x11348, direction::L},   {0x1134b, 0x1134d, direction::L},
    {0x11350, 0x11350, direction::L},   {0x11357, 0x11357, direction::L},
    {0x1135d, 0x11363, direction::L},   {0x11366, 0x1136c, direction::NSM},
    {0x11370, 0x11374, direction::NSM}, {0x11400, 0x11437, direction::L},
    {0x11438, 0x1143f, direction::NSM}, {0x11440, 0x11441, direction::L},
    {0x11442, 0x11444, direction::NSM}, {0x11445, 0x11445, direction::L},
    {0x11446, 0x11446, direction::NSM}, {0x11447, 0x1145b, direction::L},
    {0x1145d, 0x1145d, direction::L},   {0x1145e, 0x1145e, direction::NSM},
    {0x1145f, 0x11461, direction::L},   {0x11480, 0x114b2, direction::L},
    {0x114b3, 0x114b8, direction::NSM}, {0x114b9, 0x114b9, direction::L},
    {0x114ba, 0x114ba, direction::NSM}, {0x114bb, 0x114be, direction::L},
    {0x114bf, 0x114c0, direction::NSM}, {0x114c1, 0x114c1, direction::L},
    {0x114c2, 0x114c3, direction::NSM}, {0x114c4, 0x114c7, direction::L},
    {0x114d0, 0x114d9, direction::L},   {0x11580, 0x115b1, direction::L},
    {0x115b2, 0x115b5, direction::NSM}, {0x115b8, 0x115bb, direction::L},
    {0x115bc, 0x115bd, direction::NSM}, {0x115be, 0x115be, direction::L},
    {0x115bf, 0x115c0, direction::NSM}, {0x115c1, 0x115db, direction::L},
    {0x115dc, 0x115dd, direction::NSM}, {0x11600, 0x11632, direction::L},
    {0x11633, 0x1163a, direction::NSM}, {0x1163b, 0x1163c, direction::L},
    {0x1163d, 0x1163d, direction::NSM}, {0x1163e, 0x1163e, direction::L},
    {0x1163f, 0x11640, direction::NSM}, {0x11641, 0x11644, direction::L},
    {0x11650, 0x11659, direction::L},   {0x11660, 0x1166c, direction::ON},
    {0x11680, 0x116aa, direction::L},   {0x116ab, 0x116ab, direction::NSM},
    {0x116ac, 0x116ac, direction::L},   {0x116ad, 0x116ad, direction::NSM},
    {0x116ae, 0x116af, direction::L},   {0x116b0, 0x116b5, direction::NSM},
    {0x116b6, 0x116b6, direction::L},   {0x116b7, 0x116b7, direction::NSM},
    {0x116b8, 0x116b8, direction::L},   {0x116c0, 0x116c9, direction::L},
    {0x11700, 0x1171a, direction::L},   {0x1171d, 0x1171f, direction::NSM},
    {0x11720, 0x11721, direction::L},   {0x11722, 0x11725, direction::NSM},
    {0x11726, 0x11726, direction::L},   {0x11727, 0x1172b, direction::NSM},
    {0x11730, 0x1173f, direction::L},   {0x11800, 0x1182e, direction::L},
    {0x1182f, 0x11837, direction::NSM}, {0x11838, 0x11838, direction::L},
    {0x11839, 0x1183a, direction::NSM}, {0x1183b, 0x1183b, direction::L},
    {0x118a0, 0x118f2, direction::L},   {0x118ff, 0x11906, direction::L},
    {0x11909, 0x11909, direction::L},   {0x1190c, 0x11913, direction::L},
    {0x11915, 0x11916, direction::L},   {0x11918, 0x11935, direction::L},
    {0x11937, 0x11938, direction::L},   {0x1193b, 0x1193c, direction::NSM},
    {0x1193d, 0x1193d, direction::L},   {0x1193e, 0x1193e, direction::NSM},
    {0x1193f, 0x11942, direction::L},   {0x11943, 0x11943, direction::NSM},
    {0x11944, 0x11946, direction::L},   {0x11950, 0x11959, direction::L},
    {0x119a0, 0x119a7, direction::L},   {0x119aa, 0x119d3, direction::L},
    {0x119d4, 0x119d7, direction::NSM}, {0x119da, 0x119db, direction::NSM},
    {0x119dc, 0x119df, direction::L},   {0x119e0, 0x119e0, direction::NSM},
    {0x119e1, 0x119e4, direction::L},   {0x11a00, 0x11a00, direction::L},
    {0x11a01, 0x11a06, direction::NSM}, {0x11a07, 0x11a08, direction::L},
    {0x11a09, 0x11a0a, direction::NSM}, {0x11a0b, 0x11a32, direction::L},
    {0x11a33, 0x11a38, direction::NSM}, {0x11a39, 0x11a3a, direction::L},
    {0x11a3b, 0x11a3e, direction::NSM}, {0x11a3f, 0x11a46, direction::L},
    {0x11a47, 0x11a47, direction::NSM}, {0x11a50, 0x11a50, direction::L},
    {0x11a51, 0x11a56, direction::NSM}, {0x11a57, 0x11a58, direction::L},
    {0x11a59, 0x11a5b, direction::NSM}, {0x11a5c, 0x11a89, direction::L},
    {0x11a8a, 0x11a96, direction::NSM}, {0x11a97, 0x11a97, direction::L},
    {0x11a98, 0x11a99, direction::NSM}, {0x11a9a, 0x11aa2, direction::L},
    {0x11ac0, 0x11af8, direction::L},   {0x11c00, 0x11c08, direction::L},
    {0x11c0a, 0x11c2f, direction::L},   {0x11c30, 0x11c36, direction::NSM},
    {0x11c38, 0x11c3d, direction::NSM}, {0x11c3e, 0x11c45, direction::L},
    {0x11c50, 0x11c6c, direction::L},   {0x11c70, 0x11c8f, direction::L},
    {0x11c92, 0x11ca7, direction::NSM}, {0x11ca9, 0x11ca9, direction::L},
    {0x11caa, 0x11cb0, direction::NSM}, {0x11cb1, 0x11cb1, direction::L},
    {0x11cb2, 0x11cb3, direction::NSM}, {0x11cb4, 0x11cb4, direction::L},
    {0x11cb5, 0x11cb6, direction::NSM}, {0x11d00, 0x11d06, direction::L},
    {0x11d08, 0x11d09, direction::L},   {0x11d0b, 0x11d30, direction::L},
    {0x11d31, 0x11d36, direction::NSM}, {0x11d3a, 0x11d3a, direction::NSM},
    {0x11d3c, 0x11d3d, direction::NSM}, {0x11d3f, 0x11d45, direction::NSM},
    {0x11d46, 0x11d46, direction::L},   {0x11d47, 0x11d47, direction::NSM},
    {0x11d50, 0x11d59, direction::L},   {0x11d60, 0x11d65, direction::L},
    {0x11d67, 0x11d68, direction::L},   {0x11d6a, 0x11d8e, direction::L},
    {0x11d90, 0x11d91, direction::NSM}, {0x11d93, 0x11d94, direction::L},
    {0x11d95, 0x11d95, direction::NSM}, {0x11d96, 0x11d96, direction::L},
    {0x11d97, 0x11d97, direction::NSM}, {0x11d98, 0x11d98, direction::L},
    {0x11da0, 0x11da9, direction::L},   {0x11ee0, 0x11ef2, direction::L},
    {0x11ef3, 0x11ef4, direction::NSM}, {0x11ef5, 0x11ef8, direction::L},
    {0x11fb0, 0x11fb0, direction::L},   {0x11fc0, 0x11fd4, direction::L},
    {0x11fd5, 0x11fdc, direction::ON},  {0x11fdd, 0x11fe0, direction::ET},
    {0x11fe1, 0x11ff1, direction::ON},  {0x11fff, 0x12399, direction::L},
    {0x12400, 0x1246e, direction::L},   {0x12470, 0x12474, direction::L},
    {0x12480, 0x12543, direction::L},   {0x13000, 0x1342e, direction::L},
    {0x13430, 0x13438, direction::L},   {0x14400, 0x14646, direction::L},
    {0x16800, 0x16a38, direction::L},   {0x16a40, 0x16a5e, direction::L},
    {0x16a60, 0x16a69, direction::L},   {0x16a6e, 0x16a6f, direction::L},
    {0x16ad0, 0x16aed, direction::L},   {0x16af0, 0x16af4, direction::NSM},
    {0x16af5, 0x16af5, direction::L},   {0x16b00, 0x16b2f, direction::L},
    {0x16b30, 0x16b36, direction::NSM}, {0x16b37, 0x16b45, direction::L},
    {0x16b50, 0x16b59, direction::L},   {0x16b5b, 0x16b61, direction::L},
    {0x16b63, 0x16b77, direction::L},   {0x16b7d, 0x16b8f, direction::L},
    {0x16e40, 0x16e9a, direction::L},   {0x16f00, 0x16f4a, direction::L},
    {0x16f4f, 0x16f4f, direction::NSM}, {0x16f50, 0x16f87, direction::L},
    {0x16f8f, 0x16f92, direction::NSM}, {0x16f93, 0x16f9f, direction::L},
    {0x16fe0, 0x16fe1, direction::L},   {0x16fe2, 0x16fe2, direction::ON},
    {0x16fe3, 0x16fe3, direction::L},   {0x16fe4, 0x16fe4, direction::NSM},
    {0x16ff0, 0x16ff1, direction::L},   {0x17000, 0x187f7, direction::L},
    {0x18800, 0x18cd5, direction::L},   {0x18d00, 0x18d08, direction::L},
    {0x1b000, 0x1b11e, direction::L},   {0x1b150, 0x1b152, direction::L},
    {0x1b164, 0x1b167, direction::L},   {0x1b170, 0x1b2fb, direction::L},
    {0x1bc00, 0x1bc6a, direction::L},   {0x1bc70, 0x1bc7c, direction::L},
    {0x1bc80, 0x1bc88, direction::L},   {0x1bc90, 0x1bc99, direction::L},
    {0x1bc9c, 0x1bc9c, direction::L},   {0x1bc9d, 0x1bc9e, direction::NSM},
    {0x1bc9f, 0x1bc9f, direction::L},   {0x1bca0, 0x1bca3, direction::BN},
    {0x1d000, 0x1d0f5, direction::L},   {0x1d100, 0x1d126, direction::L},
    {0x1d129, 0x1d166, direction::L},   {0x1d167, 0x1d169, direction::NSM},
    {0x1d16a, 0x1d172, direction::L},   {0x1d173, 0x1d17a, direction::BN},
    {0x1d17b, 0x1d182, direction::NSM}, {0x1d183, 0x1d184, direction::L},
    {0x1d185, 0x1d18b, direction::NSM}, {0x1d18c, 0x1d1a9, direction::L},
    {0x1d1aa, 0x1d1ad, direction::NSM}, {0x1d1ae, 0x1d1e8, direction::L},
    {0x1d200, 0x1d241, direction::ON},  {0x1d242, 0x1d244, direction::NSM},
    {0x1d245, 0x1d245, direction::ON},  {0x1d2e0, 0x1d2f3, direction::L},
    {0x1d300, 0x1d356, direction::ON},  {0x1d360, 0x1d378, direction::L},
    {0x1d400, 0x1d454, direction::L},   {0x1d456, 0x1d49c, direction::L},
    {0x1d49e, 0x1d49f, direction::L},   {0x1d4a2, 0x1d4a2, direction::L},
    {0x1d4a5, 0x1d4a6, direction::L},   {0x1d4a9, 0x1d4ac, direction::L},
    {0x1d4ae, 0x1d4b9, direction::L},   {0x1d4bb, 0x1d4bb, direction::L},
    {0x1d4bd, 0x1d4c3, direction::L},   {0x1d4c5, 0x1d505, direction::L},
    {0x1d507, 0x1d50a, direction::L},   {0x1d50d, 0x1d514, direction::L},
    {0x1d516, 0x1d51c, direction::L},   {0x1d51e, 0x1d539, direction::L},
    {0x1d53b, 0x1d53e, direction::L},   {0x1d540, 0x1d544, direction::L},
    {0x1d546, 0x1d546, direction::L},   {0x1d54a, 0x1d550, direction::L},
    {0x1d552, 0x1d6a5, direction::L},   {0x1d6a8, 0x1d6da, direction::L},
    {0x1d6db, 0x1d6db, direction::ON},  {0x1d6dc, 0x1d714, direction::L},
    {0x1d715, 0x1d715, direction::ON},  {0x1d716, 0x1d74e, direction::L},
    {0x1d74f, 0x1d74f, direction::ON},  {0x1d750, 0x1d788, direction::L},
    {0x1d789, 0x1d789, direction::ON},  {0x1d78a, 0x1d7c2, direction::L},
    {0x1d7c3, 0x1d7c3, direction::ON},  {0x1d7c4, 0x1d7cb, direction::L},
    {0x1d7ce, 0x1d7ff, direction::EN},  {0x1d800, 0x1d9ff, direction::L},
    {0x1da00, 0x1da36, direction::NSM}, {0x1da37, 0x1da3a, direction::L},
    {0x1da3b, 0x1da6c, direction::NSM}, {0x1da6d, 0x1da74, direction::L},
    {0x1da75, 0x1da75, direction::NSM}, {0x1da76, 0x1da83, direction::L},
    {0x1da84, 0x1da84, direction::NSM}, {0x1da85, 0x1da8b, direction::L},
    {0x1da9b, 0x1da9f, direction::NSM}, {0x1daa1, 0x1daaf, direction::NSM},
    {0x1e000, 0x1e006, direction::NSM}, {0x1e008, 0x1e018, direction::NSM},
    {0x1e01b, 0x1e021, direction::NSM}, {0x1e023, 0x1e024, direction::NSM},
    {0x1e026, 0x1e02a, direction::NSM}, {0x1e100, 0x1e12c, direction::L},
    {0x1e130, 0x1e136, direction::NSM}, {0x1e137, 0x1e13d, direction::L},
    {0x1e140, 0x1e149, direction::L},   {0x1e14e, 0x1e14f, direction::L},
    {0x1e2c0, 0x1e2eb, direction::L},   {0x1e2ec, 0x1e2ef, direction::NSM},
    {0x1e2f0, 0x1e2f9, direction::L},   {0x1e2ff, 0x1e2ff, direction::ET},
    {0x1e800, 0x1e8c4, direction::R},   {0x1e8c7, 0x1e8cf, direction::R},
    {0x1e8d0, 0x1e8d6, direction::NSM}, {0x1e900, 0x1e943, direction::R},
    {0x1e944, 0x1e94a, direction::NSM}, {0x1e94b, 0x1e94b, direction::R},
    {0x1e950, 0x1e959, direction::R},   {0x1e95e, 0x1e95f, direction::R},
    {0x1ec71, 0x1ecb4, direction::AL},  {0x1ed01, 0x1ed3d, direction::AL},
    {0x1ee00, 0x1ee03, direction::AL},  {0x1ee05, 0x1ee1f, direction::AL},
    {0x1ee21, 0x1ee22, direction::AL},  {0x1ee24, 0x1ee24, direction::AL},
    {0x1ee27, 0x1ee27, direction::AL},  {0x1ee29, 0x1ee32, direction::AL},
    {0x1ee34, 0x1ee37, direction::AL},  {0x1ee39, 0x1ee39, direction::AL},
    {0x1ee3b, 0x1ee3b, direction::AL},  {0x1ee42, 0x1ee42, direction::AL},
    {0x1ee47, 0x1ee47, direction::AL},  {0x1ee49, 0x1ee49, direction::AL},
    {0x1ee4b, 0x1ee4b, direction::AL},  {0x1ee4d, 0x1ee4f, direction::AL},
    {0x1ee51, 0x1ee52, direction::AL},  {0x1ee54, 0x1ee54, direction::AL},
    {0x1ee57, 0x1ee57, direction::AL},  {0x1ee59, 0x1ee59, direction::AL},
    {0x1ee5b, 0x1ee5b, direction::AL},  {0x1ee5d, 0x1ee5d, direction::AL},
    {0x1ee5f, 0x1ee5f, direction::AL},  {0x1ee61, 0x1ee62, direction::AL},
    {0x1ee64, 0x1ee64, direction::AL},  {0x1ee67, 0x1ee6a, direction::AL},
    {0x1ee6c, 0x1ee72, direction::AL},  {0x1ee74, 0x1ee77, direction::AL},
    {0x1ee79, 0x1ee7c, direction::AL},  {0x1ee7e, 0x1ee7e, direction::AL},
    {0x1ee80, 0x1ee89, direction::AL},  {0x1ee8b, 0x1ee9b, direction::AL},
    {0x1eea1, 0x1eea3, direction::AL},  {0x1eea5, 0x1eea9, direction::AL},
    {0x1eeab, 0x1eebb, direction::AL},  {0x1eef0, 0x1eef1, direction::ON},
    {0x1f000, 0x1f02b, direction::ON},  {0x1f030, 0x1f093, direction::ON},
    {0x1f0a0, 0x1f0ae, direction::ON},  {0x1f0b1, 0x1f0bf, direction::ON},
    {0x1f0c1, 0x1f0cf, direction::ON},  {0x1f0d1, 0x1f0f5, direction::ON},
    {0x1f100, 0x1f10a, direction::EN},  {0x1f10b, 0x1f10f, direction::ON},
    {0x1f110, 0x1f12e, direction::L},   {0x1f12f, 0x1f12f, direction::ON},
    {0x1f130, 0x1f169, direction::L},   {0x1f16a, 0x1f16f, direction::ON},
    {0x1f170, 0x1f1ac, direction::L},   {0x1f1ad, 0x1f1ad, direction::ON},
    {0x1f1e6, 0x1f202, direction::L},   {0x1f210, 0x1f23b, direction::L},
    {0x1f240, 0x1f248, direction::L},   {0x1f250, 0x1f251, direction::L},
    {0x1f260, 0x1f265, direction::ON},  {0x1f300, 0x1f6d7, direction::ON},
    {0x1f6e0, 0x1f6ec, direction::ON},  {0x1f6f0, 0x1f6fc, direction::ON},
    {0x1f700, 0x1f773, direction::ON},  {0x1f780, 0x1f7d8, direction::ON},
    {0x1f7e0, 0x1f7eb, direction::ON},  {0x1f800, 0x1f80b, direction::ON},
    {0x1f810, 0x1f847, direction::ON},  {0x1f850, 0x1f859, direction::ON},
    {0x1f860, 0x1f887, direction::ON},  {0x1f890, 0x1f8ad, direction::ON},
    {0x1f8b0, 0x1f8b1, direction::ON},  {0x1f900, 0x1f978, direction::ON},
    {0x1f97a, 0x1f9cb, direction::ON},  {0x1f9cd, 0x1fa53, direction::ON},
    {0x1fa60, 0x1fa6d, direction::ON},  {0x1fa70, 0x1fa74, direction::ON},
    {0x1fa78, 0x1fa7a, direction::ON},  {0x1fa80, 0x1fa86, direction::ON},
    {0x1fa90, 0x1faa8, direction::ON},  {0x1fab0, 0x1fab6, direction::ON},
    {0x1fac0, 0x1fac2, direction::ON},  {0x1fad0, 0x1fad6, direction::ON},
    {0x1fb00, 0x1fb92, direction::ON},  {0x1fb94, 0x1fbca, direction::ON},
    {0x1fbf0, 0x1fbf9, direction::EN},  {0x20000, 0x2a6dd, direction::L},
    {0x2a700, 0x2b734, direction::L},   {0x2b740, 0x2b81d, direction::L},
    {0x2b820, 0x2cea1, direction::L},   {0x2ceb0, 0x2ebe0, direction::L},
    {0x2f800, 0x2fa1d, direction::L},   {0x30000, 0x3134a, direction::L},
    {0xe0001, 0xe0001, direction::BN},  {0xe0020, 0xe007f, direction::BN},
    {0xe0100, 0xe01ef, direction::NSM}, {0xf0000, 0xffffd, direction::L},
    {0x100000, 0x10fffd, direction::L}};

// CheckJoiners and CheckBidi are true for URL specification.

inline static direction find_direction(uint32_t code_point) noexcept {
  auto it = std::lower_bound(
      std::begin(dir_table), std::end(dir_table), code_point,
      [](const directions& d, uint32_t c) { return d.final_code < c; });

  // next check is almost surely in vain, but we use it for safety.
  if (it == std::end(dir_table)) {
    return direction::NONE;
  }
  // We have that d.final_code >= c.
  if (code_point >= it->start_code) {
    return it->direct;
  }
  return direction::NONE;
}

inline static size_t find_last_not_of_nsm(
    const std::u32string_view label) noexcept {
  for (int i = label.size() - 1; i >= 0; i--)
    if (find_direction(label[i]) != direction::NSM) return i;

  return std::u32string_view::npos;
}

// An RTL label is a label that contains at least one character of type R, AL,
// or AN. https://www.rfc-editor.org/rfc/rfc5893#section-2
inline static bool is_rtl_label(const std::u32string_view label) noexcept {
  const size_t mask =
      (1u << direction::R) | (1u << direction::AL) | (1u << direction::AN);

  size_t directions = 0;
  for (size_t i = 0; i < label.size(); i++) {
    directions |= 1u << find_direction(label[i]);
  }
  return (directions & mask) != 0;
}

bool is_label_valid(const std::u32string_view label) {
  if (label.empty()) {
    return true;
  }

  ///////////////
  // We have a normalization step which ensures that we are in NFC.
  // If we receive punycode, we normalize and check that the normalized
  // version matches the original.
  // --------------------------------------
  // The label must be in Unicode Normalization Form NFC.

  // Current URL standard indicatest that CheckHyphens is set to false.
  // ---------------------------------------
  // If CheckHyphens, the label must not contain a U+002D HYPHEN-MINUS character
  // in both the third and fourth positions. If CheckHyphens, the label must
  // neither begin nor end with a U+002D HYPHEN-MINUS character.

  // This is not necessary because we segment the
  // labels by '.'.
  // ---------------------------------------
  // The label must not contain a U+002E ( . ) FULL STOP.
  // if (label.find('.') != std::string_view::npos) return false;

  // The label must not begin with a combining mark, that is:
  // General_Category=Mark.
  constexpr static uint32_t combining[] = {
      0x300,   0x301,   0x302,   0x303,   0x304,   0x305,   0x306,   0x307,
      0x308,   0x309,   0x30a,   0x30b,   0x30c,   0x30d,   0x30e,   0x30f,
      0x310,   0x311,   0x312,   0x313,   0x314,   0x315,   0x316,   0x317,
      0x318,   0x319,   0x31a,   0x31b,   0x31c,   0x31d,   0x31e,   0x31f,
      0x320,   0x321,   0x322,   0x323,   0x324,   0x325,   0x326,   0x327,
      0x328,   0x329,   0x32a,   0x32b,   0x32c,   0x32d,   0x32e,   0x32f,
      0x330,   0x331,   0x332,   0x333,   0x334,   0x335,   0x336,   0x337,
      0x338,   0x339,   0x33a,   0x33b,   0x33c,   0x33d,   0x33e,   0x33f,
      0x340,   0x341,   0x342,   0x343,   0x344,   0x345,   0x346,   0x347,
      0x348,   0x349,   0x34a,   0x34b,   0x34c,   0x34d,   0x34e,   0x34f,
      0x350,   0x351,   0x352,   0x353,   0x354,   0x355,   0x356,   0x357,
      0x358,   0x359,   0x35a,   0x35b,   0x35c,   0x35d,   0x35e,   0x35f,
      0x360,   0x361,   0x362,   0x363,   0x364,   0x365,   0x366,   0x367,
      0x368,   0x369,   0x36a,   0x36b,   0x36c,   0x36d,   0x36e,   0x36f,
      0x483,   0x484,   0x485,   0x486,   0x487,   0x488,   0x489,   0x591,
      0x592,   0x593,   0x594,   0x595,   0x596,   0x597,   0x598,   0x599,
      0x59a,   0x59b,   0x59c,   0x59d,   0x59e,   0x59f,   0x5a0,   0x5a1,
      0x5a2,   0x5a3,   0x5a4,   0x5a5,   0x5a6,   0x5a7,   0x5a8,   0x5a9,
      0x5aa,   0x5ab,   0x5ac,   0x5ad,   0x5ae,   0x5af,   0x5b0,   0x5b1,
      0x5b2,   0x5b3,   0x5b4,   0x5b5,   0x5b6,   0x5b7,   0x5b8,   0x5b9,
      0x5ba,   0x5bb,   0x5bc,   0x5bd,   0x5bf,   0x5c1,   0x5c2,   0x5c4,
      0x5c5,   0x5c7,   0x610,   0x611,   0x612,   0x613,   0x614,   0x615,
      0x616,   0x617,   0x618,   0x619,   0x61a,   0x64b,   0x64c,   0x64d,
      0x64e,   0x64f,   0x650,   0x651,   0x652,   0x653,   0x654,   0x655,
      0x656,   0x657,   0x658,   0x659,   0x65a,   0x65b,   0x65c,   0x65d,
      0x65e,   0x65f,   0x670,   0x6d6,   0x6d7,   0x6d8,   0x6d9,   0x6da,
      0x6db,   0x6dc,   0x6df,   0x6e0,   0x6e1,   0x6e2,   0x6e3,   0x6e4,
      0x6e7,   0x6e8,   0x6ea,   0x6eb,   0x6ec,   0x6ed,   0x711,   0x730,
      0x731,   0x732,   0x733,   0x734,   0x735,   0x736,   0x737,   0x738,
      0x739,   0x73a,   0x73b,   0x73c,   0x73d,   0x73e,   0x73f,   0x740,
      0x741,   0x742,   0x743,   0x744,   0x745,   0x746,   0x747,   0x748,
      0x749,   0x74a,   0x7a6,   0x7a7,   0x7a8,   0x7a9,   0x7aa,   0x7ab,
      0x7ac,   0x7ad,   0x7ae,   0x7af,   0x7b0,   0x7eb,   0x7ec,   0x7ed,
      0x7ee,   0x7ef,   0x7f0,   0x7f1,   0x7f2,   0x7f3,   0x7fd,   0x816,
      0x817,   0x818,   0x819,   0x81b,   0x81c,   0x81d,   0x81e,   0x81f,
      0x820,   0x821,   0x822,   0x823,   0x825,   0x826,   0x827,   0x829,
      0x82a,   0x82b,   0x82c,   0x82d,   0x859,   0x85a,   0x85b,   0x8d3,
      0x8d4,   0x8d5,   0x8d6,   0x8d7,   0x8d8,   0x8d9,   0x8da,   0x8db,
      0x8dc,   0x8dd,   0x8de,   0x8df,   0x8e0,   0x8e1,   0x8e3,   0x8e4,
      0x8e5,   0x8e6,   0x8e7,   0x8e8,   0x8e9,   0x8ea,   0x8eb,   0x8ec,
      0x8ed,   0x8ee,   0x8ef,   0x8f0,   0x8f1,   0x8f2,   0x8f3,   0x8f4,
      0x8f5,   0x8f6,   0x8f7,   0x8f8,   0x8f9,   0x8fa,   0x8fb,   0x8fc,
      0x8fd,   0x8fe,   0x8ff,   0x900,   0x901,   0x902,   0x903,   0x93a,
      0x93b,   0x93c,   0x93e,   0x93f,   0x940,   0x941,   0x942,   0x943,
      0x944,   0x945,   0x946,   0x947,   0x948,   0x949,   0x94a,   0x94b,
      0x94c,   0x94d,   0x94e,   0x94f,   0x951,   0x952,   0x953,   0x954,
      0x955,   0x956,   0x957,   0x962,   0x963,   0x981,   0x982,   0x983,
      0x9bc,   0x9be,   0x9bf,   0x9c0,   0x9c1,   0x9c2,   0x9c3,   0x9c4,
      0x9c7,   0x9c8,   0x9cb,   0x9cc,   0x9cd,   0x9d7,   0x9e2,   0x9e3,
      0x9fe,   0xa01,   0xa02,   0xa03,   0xa3c,   0xa3e,   0xa3f,   0xa40,
      0xa41,   0xa42,   0xa47,   0xa48,   0xa4b,   0xa4c,   0xa4d,   0xa51,
      0xa70,   0xa71,   0xa75,   0xa81,   0xa82,   0xa83,   0xabc,   0xabe,
      0xabf,   0xac0,   0xac1,   0xac2,   0xac3,   0xac4,   0xac5,   0xac7,
      0xac8,   0xac9,   0xacb,   0xacc,   0xacd,   0xae2,   0xae3,   0xafa,
      0xafb,   0xafc,   0xafd,   0xafe,   0xaff,   0xb01,   0xb02,   0xb03,
      0xb3c,   0xb3e,   0xb3f,   0xb40,   0xb41,   0xb42,   0xb43,   0xb44,
      0xb47,   0xb48,   0xb4b,   0xb4c,   0xb4d,   0xb55,   0xb56,   0xb57,
      0xb62,   0xb63,   0xb82,   0xbbe,   0xbbf,   0xbc0,   0xbc1,   0xbc2,
      0xbc6,   0xbc7,   0xbc8,   0xbca,   0xbcb,   0xbcc,   0xbcd,   0xbd7,
      0xc00,   0xc01,   0xc02,   0xc03,   0xc04,   0xc3e,   0xc3f,   0xc40,
      0xc41,   0xc42,   0xc43,   0xc44,   0xc46,   0xc47,   0xc48,   0xc4a,
      0xc4b,   0xc4c,   0xc4d,   0xc55,   0xc56,   0xc62,   0xc63,   0xc81,
      0xc82,   0xc83,   0xcbc,   0xcbe,   0xcbf,   0xcc0,   0xcc1,   0xcc2,
      0xcc3,   0xcc4,   0xcc6,   0xcc7,   0xcc8,   0xcca,   0xccb,   0xccc,
      0xccd,   0xcd5,   0xcd6,   0xce2,   0xce3,   0xd00,   0xd01,   0xd02,
      0xd03,   0xd3b,   0xd3c,   0xd3e,   0xd3f,   0xd40,   0xd41,   0xd42,
      0xd43,   0xd44,   0xd46,   0xd47,   0xd48,   0xd4a,   0xd4b,   0xd4c,
      0xd4d,   0xd57,   0xd62,   0xd63,   0xd81,   0xd82,   0xd83,   0xdca,
      0xdcf,   0xdd0,   0xdd1,   0xdd2,   0xdd3,   0xdd4,   0xdd6,   0xdd8,
      0xdd9,   0xdda,   0xddb,   0xddc,   0xddd,   0xdde,   0xddf,   0xdf2,
      0xdf3,   0xe31,   0xe34,   0xe35,   0xe36,   0xe37,   0xe38,   0xe39,
      0xe3a,   0xe47,   0xe48,   0xe49,   0xe4a,   0xe4b,   0xe4c,   0xe4d,
      0xe4e,   0xeb1,   0xeb4,   0xeb5,   0xeb6,   0xeb7,   0xeb8,   0xeb9,
      0xeba,   0xebb,   0xebc,   0xec8,   0xec9,   0xeca,   0xecb,   0xecc,
      0xecd,   0xf18,   0xf19,   0xf35,   0xf37,   0xf39,   0xf3e,   0xf3f,
      0xf71,   0xf72,   0xf73,   0xf74,   0xf75,   0xf76,   0xf77,   0xf78,
      0xf79,   0xf7a,   0xf7b,   0xf7c,   0xf7d,   0xf7e,   0xf7f,   0xf80,
      0xf81,   0xf82,   0xf83,   0xf84,   0xf86,   0xf87,   0xf8d,   0xf8e,
      0xf8f,   0xf90,   0xf91,   0xf92,   0xf93,   0xf94,   0xf95,   0xf96,
      0xf97,   0xf99,   0xf9a,   0xf9b,   0xf9c,   0xf9d,   0xf9e,   0xf9f,
      0xfa0,   0xfa1,   0xfa2,   0xfa3,   0xfa4,   0xfa5,   0xfa6,   0xfa7,
      0xfa8,   0xfa9,   0xfaa,   0xfab,   0xfac,   0xfad,   0xfae,   0xfaf,
      0xfb0,   0xfb1,   0xfb2,   0xfb3,   0xfb4,   0xfb5,   0xfb6,   0xfb7,
      0xfb8,   0xfb9,   0xfba,   0xfbb,   0xfbc,   0xfc6,   0x102b,  0x102c,
      0x102d,  0x102e,  0x102f,  0x1030,  0x1031,  0x1032,  0x1033,  0x1034,
      0x1035,  0x1036,  0x1037,  0x1038,  0x1039,  0x103a,  0x103b,  0x103c,
      0x103d,  0x103e,  0x1056,  0x1057,  0x1058,  0x1059,  0x105e,  0x105f,
      0x1060,  0x1062,  0x1063,  0x1064,  0x1067,  0x1068,  0x1069,  0x106a,
      0x106b,  0x106c,  0x106d,  0x1071,  0x1072,  0x1073,  0x1074,  0x1082,
      0x1083,  0x1084,  0x1085,  0x1086,  0x1087,  0x1088,  0x1089,  0x108a,
      0x108b,  0x108c,  0x108d,  0x108f,  0x109a,  0x109b,  0x109c,  0x109d,
      0x135d,  0x135e,  0x135f,  0x1712,  0x1713,  0x1714,  0x1732,  0x1733,
      0x1734,  0x1752,  0x1753,  0x1772,  0x1773,  0x17b4,  0x17b5,  0x17b6,
      0x17b7,  0x17b8,  0x17b9,  0x17ba,  0x17bb,  0x17bc,  0x17bd,  0x17be,
      0x17bf,  0x17c0,  0x17c1,  0x17c2,  0x17c3,  0x17c4,  0x17c5,  0x17c6,
      0x17c7,  0x17c8,  0x17c9,  0x17ca,  0x17cb,  0x17cc,  0x17cd,  0x17ce,
      0x17cf,  0x17d0,  0x17d1,  0x17d2,  0x17d3,  0x17dd,  0x180b,  0x180c,
      0x180d,  0x1885,  0x1886,  0x18a9,  0x1920,  0x1921,  0x1922,  0x1923,
      0x1924,  0x1925,  0x1926,  0x1927,  0x1928,  0x1929,  0x192a,  0x192b,
      0x1930,  0x1931,  0x1932,  0x1933,  0x1934,  0x1935,  0x1936,  0x1937,
      0x1938,  0x1939,  0x193a,  0x193b,  0x1a17,  0x1a18,  0x1a19,  0x1a1a,
      0x1a1b,  0x1a55,  0x1a56,  0x1a57,  0x1a58,  0x1a59,  0x1a5a,  0x1a5b,
      0x1a5c,  0x1a5d,  0x1a5e,  0x1a60,  0x1a61,  0x1a62,  0x1a63,  0x1a64,
      0x1a65,  0x1a66,  0x1a67,  0x1a68,  0x1a69,  0x1a6a,  0x1a6b,  0x1a6c,
      0x1a6d,  0x1a6e,  0x1a6f,  0x1a70,  0x1a71,  0x1a72,  0x1a73,  0x1a74,
      0x1a75,  0x1a76,  0x1a77,  0x1a78,  0x1a79,  0x1a7a,  0x1a7b,  0x1a7c,
      0x1a7f,  0x1ab0,  0x1ab1,  0x1ab2,  0x1ab3,  0x1ab4,  0x1ab5,  0x1ab6,
      0x1ab7,  0x1ab8,  0x1ab9,  0x1aba,  0x1abb,  0x1abc,  0x1abd,  0x1abe,
      0x1abf,  0x1ac0,  0x1b00,  0x1b01,  0x1b02,  0x1b03,  0x1b04,  0x1b34,
      0x1b35,  0x1b36,  0x1b37,  0x1b38,  0x1b39,  0x1b3a,  0x1b3b,  0x1b3c,
      0x1b3d,  0x1b3e,  0x1b3f,  0x1b40,  0x1b41,  0x1b42,  0x1b43,  0x1b44,
      0x1b6b,  0x1b6c,  0x1b6d,  0x1b6e,  0x1b6f,  0x1b70,  0x1b71,  0x1b72,
      0x1b73,  0x1b80,  0x1b81,  0x1b82,  0x1ba1,  0x1ba2,  0x1ba3,  0x1ba4,
      0x1ba5,  0x1ba6,  0x1ba7,  0x1ba8,  0x1ba9,  0x1baa,  0x1bab,  0x1bac,
      0x1bad,  0x1be6,  0x1be7,  0x1be8,  0x1be9,  0x1bea,  0x1beb,  0x1bec,
      0x1bed,  0x1bee,  0x1bef,  0x1bf0,  0x1bf1,  0x1bf2,  0x1bf3,  0x1c24,
      0x1c25,  0x1c26,  0x1c27,  0x1c28,  0x1c29,  0x1c2a,  0x1c2b,  0x1c2c,
      0x1c2d,  0x1c2e,  0x1c2f,  0x1c30,  0x1c31,  0x1c32,  0x1c33,  0x1c34,
      0x1c35,  0x1c36,  0x1c37,  0x1cd0,  0x1cd1,  0x1cd2,  0x1cd4,  0x1cd5,
      0x1cd6,  0x1cd7,  0x1cd8,  0x1cd9,  0x1cda,  0x1cdb,  0x1cdc,  0x1cdd,
      0x1cde,  0x1cdf,  0x1ce0,  0x1ce1,  0x1ce2,  0x1ce3,  0x1ce4,  0x1ce5,
      0x1ce6,  0x1ce7,  0x1ce8,  0x1ced,  0x1cf4,  0x1cf7,  0x1cf8,  0x1cf9,
      0x1dc0,  0x1dc1,  0x1dc2,  0x1dc3,  0x1dc4,  0x1dc5,  0x1dc6,  0x1dc7,
      0x1dc8,  0x1dc9,  0x1dca,  0x1dcb,  0x1dcc,  0x1dcd,  0x1dce,  0x1dcf,
      0x1dd0,  0x1dd1,  0x1dd2,  0x1dd3,  0x1dd4,  0x1dd5,  0x1dd6,  0x1dd7,
      0x1dd8,  0x1dd9,  0x1dda,  0x1ddb,  0x1ddc,  0x1ddd,  0x1dde,  0x1ddf,
      0x1de0,  0x1de1,  0x1de2,  0x1de3,  0x1de4,  0x1de5,  0x1de6,  0x1de7,
      0x1de8,  0x1de9,  0x1dea,  0x1deb,  0x1dec,  0x1ded,  0x1dee,  0x1def,
      0x1df0,  0x1df1,  0x1df2,  0x1df3,  0x1df4,  0x1df5,  0x1df6,  0x1df7,
      0x1df8,  0x1df9,  0x1dfb,  0x1dfc,  0x1dfd,  0x1dfe,  0x1dff,  0x20d0,
      0x20d1,  0x20d2,  0x20d3,  0x20d4,  0x20d5,  0x20d6,  0x20d7,  0x20d8,
      0x20d9,  0x20da,  0x20db,  0x20dc,  0x20dd,  0x20de,  0x20df,  0x20e0,
      0x20e1,  0x20e2,  0x20e3,  0x20e4,  0x20e5,  0x20e6,  0x20e7,  0x20e8,
      0x20e9,  0x20ea,  0x20eb,  0x20ec,  0x20ed,  0x20ee,  0x20ef,  0x20f0,
      0x2cef,  0x2cf0,  0x2cf1,  0x2d7f,  0x2de0,  0x2de1,  0x2de2,  0x2de3,
      0x2de4,  0x2de5,  0x2de6,  0x2de7,  0x2de8,  0x2de9,  0x2dea,  0x2deb,
      0x2dec,  0x2ded,  0x2dee,  0x2def,  0x2df0,  0x2df1,  0x2df2,  0x2df3,
      0x2df4,  0x2df5,  0x2df6,  0x2df7,  0x2df8,  0x2df9,  0x2dfa,  0x2dfb,
      0x2dfc,  0x2dfd,  0x2dfe,  0x2dff,  0x302a,  0x302b,  0x302c,  0x302d,
      0x302e,  0x302f,  0x3099,  0x309a,  0xa66f,  0xa670,  0xa671,  0xa672,
      0xa674,  0xa675,  0xa676,  0xa677,  0xa678,  0xa679,  0xa67a,  0xa67b,
      0xa67c,  0xa67d,  0xa69e,  0xa69f,  0xa6f0,  0xa6f1,  0xa802,  0xa806,
      0xa80b,  0xa823,  0xa824,  0xa825,  0xa826,  0xa827,  0xa82c,  0xa880,
      0xa881,  0xa8b4,  0xa8b5,  0xa8b6,  0xa8b7,  0xa8b8,  0xa8b9,  0xa8ba,
      0xa8bb,  0xa8bc,  0xa8bd,  0xa8be,  0xa8bf,  0xa8c0,  0xa8c1,  0xa8c2,
      0xa8c3,  0xa8c4,  0xa8c5,  0xa8e0,  0xa8e1,  0xa8e2,  0xa8e3,  0xa8e4,
      0xa8e5,  0xa8e6,  0xa8e7,  0xa8e8,  0xa8e9,  0xa8ea,  0xa8eb,  0xa8ec,
      0xa8ed,  0xa8ee,  0xa8ef,  0xa8f0,  0xa8f1,  0xa8ff,  0xa926,  0xa927,
      0xa928,  0xa929,  0xa92a,  0xa92b,  0xa92c,  0xa92d,  0xa947,  0xa948,
      0xa949,  0xa94a,  0xa94b,  0xa94c,  0xa94d,  0xa94e,  0xa94f,  0xa950,
      0xa951,  0xa952,  0xa953,  0xa980,  0xa981,  0xa982,  0xa983,  0xa9b3,
      0xa9b4,  0xa9b5,  0xa9b6,  0xa9b7,  0xa9b8,  0xa9b9,  0xa9ba,  0xa9bb,
      0xa9bc,  0xa9bd,  0xa9be,  0xa9bf,  0xa9c0,  0xa9e5,  0xaa29,  0xaa2a,
      0xaa2b,  0xaa2c,  0xaa2d,  0xaa2e,  0xaa2f,  0xaa30,  0xaa31,  0xaa32,
      0xaa33,  0xaa34,  0xaa35,  0xaa36,  0xaa43,  0xaa4c,  0xaa4d,  0xaa7b,
      0xaa7c,  0xaa7d,  0xaab0,  0xaab2,  0xaab3,  0xaab4,  0xaab7,  0xaab8,
      0xaabe,  0xaabf,  0xaac1,  0xaaeb,  0xaaec,  0xaaed,  0xaaee,  0xaaef,
      0xaaf5,  0xaaf6,  0xabe3,  0xabe4,  0xabe5,  0xabe6,  0xabe7,  0xabe8,
      0xabe9,  0xabea,  0xabec,  0xabed,  0xfb1e,  0xfe00,  0xfe01,  0xfe02,
      0xfe03,  0xfe04,  0xfe05,  0xfe06,  0xfe07,  0xfe08,  0xfe09,  0xfe0a,
      0xfe0b,  0xfe0c,  0xfe0d,  0xfe0e,  0xfe0f,  0xfe20,  0xfe21,  0xfe22,
      0xfe23,  0xfe24,  0xfe25,  0xfe26,  0xfe27,  0xfe28,  0xfe29,  0xfe2a,
      0xfe2b,  0xfe2c,  0xfe2d,  0xfe2e,  0xfe2f,  0x101fd, 0x102e0, 0x10376,
      0x10377, 0x10378, 0x10379, 0x1037a, 0x10a01, 0x10a02, 0x10a03, 0x10a05,
      0x10a06, 0x10a0c, 0x10a0d, 0x10a0e, 0x10a0f, 0x10a38, 0x10a39, 0x10a3a,
      0x10a3f, 0x10ae5, 0x10ae6, 0x10d24, 0x10d25, 0x10d26, 0x10d27, 0x10eab,
      0x10eac, 0x10f46, 0x10f47, 0x10f48, 0x10f49, 0x10f4a, 0x10f4b, 0x10f4c,
      0x10f4d, 0x10f4e, 0x10f4f, 0x10f50, 0x11000, 0x11001, 0x11002, 0x11038,
      0x11039, 0x1103a, 0x1103b, 0x1103c, 0x1103d, 0x1103e, 0x1103f, 0x11040,
      0x11041, 0x11042, 0x11043, 0x11044, 0x11045, 0x11046, 0x1107f, 0x11080,
      0x11081, 0x11082, 0x110b0, 0x110b1, 0x110b2, 0x110b3, 0x110b4, 0x110b5,
      0x110b6, 0x110b7, 0x110b8, 0x110b9, 0x110ba, 0x11100, 0x11101, 0x11102,
      0x11127, 0x11128, 0x11129, 0x1112a, 0x1112b, 0x1112c, 0x1112d, 0x1112e,
      0x1112f, 0x11130, 0x11131, 0x11132, 0x11133, 0x11134, 0x11145, 0x11146,
      0x11173, 0x11180, 0x11181, 0x11182, 0x111b3, 0x111b4, 0x111b5, 0x111b6,
      0x111b7, 0x111b8, 0x111b9, 0x111ba, 0x111bb, 0x111bc, 0x111bd, 0x111be,
      0x111bf, 0x111c0, 0x111c9, 0x111ca, 0x111cb, 0x111cc, 0x111ce, 0x111cf,
      0x1122c, 0x1122d, 0x1122e, 0x1122f, 0x11230, 0x11231, 0x11232, 0x11233,
      0x11234, 0x11235, 0x11236, 0x11237, 0x1123e, 0x112df, 0x112e0, 0x112e1,
      0x112e2, 0x112e3, 0x112e4, 0x112e5, 0x112e6, 0x112e7, 0x112e8, 0x112e9,
      0x112ea, 0x11300, 0x11301, 0x11302, 0x11303, 0x1133b, 0x1133c, 0x1133e,
      0x1133f, 0x11340, 0x11341, 0x11342, 0x11343, 0x11344, 0x11347, 0x11348,
      0x1134b, 0x1134c, 0x1134d, 0x11357, 0x11362, 0x11363, 0x11366, 0x11367,
      0x11368, 0x11369, 0x1136a, 0x1136b, 0x1136c, 0x11370, 0x11371, 0x11372,
      0x11373, 0x11374, 0x11435, 0x11436, 0x11437, 0x11438, 0x11439, 0x1143a,
      0x1143b, 0x1143c, 0x1143d, 0x1143e, 0x1143f, 0x11440, 0x11441, 0x11442,
      0x11443, 0x11444, 0x11445, 0x11446, 0x1145e, 0x114b0, 0x114b1, 0x114b2,
      0x114b3, 0x114b4, 0x114b5, 0x114b6, 0x114b7, 0x114b8, 0x114b9, 0x114ba,
      0x114bb, 0x114bc, 0x114bd, 0x114be, 0x114bf, 0x114c0, 0x114c1, 0x114c2,
      0x114c3, 0x115af, 0x115b0, 0x115b1, 0x115b2, 0x115b3, 0x115b4, 0x115b5,
      0x115b8, 0x115b9, 0x115ba, 0x115bb, 0x115bc, 0x115bd, 0x115be, 0x115bf,
      0x115c0, 0x115dc, 0x115dd, 0x11630, 0x11631, 0x11632, 0x11633, 0x11634,
      0x11635, 0x11636, 0x11637, 0x11638, 0x11639, 0x1163a, 0x1163b, 0x1163c,
      0x1163d, 0x1163e, 0x1163f, 0x11640, 0x116ab, 0x116ac, 0x116ad, 0x116ae,
      0x116af, 0x116b0, 0x116b1, 0x116b2, 0x116b3, 0x116b4, 0x116b5, 0x116b6,
      0x116b7, 0x1171d, 0x1171e, 0x1171f, 0x11720, 0x11721, 0x11722, 0x11723,
      0x11724, 0x11725, 0x11726, 0x11727, 0x11728, 0x11729, 0x1172a, 0x1172b,
      0x1182c, 0x1182d, 0x1182e, 0x1182f, 0x11830, 0x11831, 0x11832, 0x11833,
      0x11834, 0x11835, 0x11836, 0x11837, 0x11838, 0x11839, 0x1183a, 0x11930,
      0x11931, 0x11932, 0x11933, 0x11934, 0x11935, 0x11937, 0x11938, 0x1193b,
      0x1193c, 0x1193d, 0x1193e, 0x11940, 0x11942, 0x11943, 0x119d1, 0x119d2,
      0x119d3, 0x119d4, 0x119d5, 0x119d6, 0x119d7, 0x119da, 0x119db, 0x119dc,
      0x119dd, 0x119de, 0x119df, 0x119e0, 0x119e4, 0x11a01, 0x11a02, 0x11a03,
      0x11a04, 0x11a05, 0x11a06, 0x11a07, 0x11a08, 0x11a09, 0x11a0a, 0x11a33,
      0x11a34, 0x11a35, 0x11a36, 0x11a37, 0x11a38, 0x11a39, 0x11a3b, 0x11a3c,
      0x11a3d, 0x11a3e, 0x11a47, 0x11a51, 0x11a52, 0x11a53, 0x11a54, 0x11a55,
      0x11a56, 0x11a57, 0x11a58, 0x11a59, 0x11a5a, 0x11a5b, 0x11a8a, 0x11a8b,
      0x11a8c, 0x11a8d, 0x11a8e, 0x11a8f, 0x11a90, 0x11a91, 0x11a92, 0x11a93,
      0x11a94, 0x11a95, 0x11a96, 0x11a97, 0x11a98, 0x11a99, 0x11c2f, 0x11c30,
      0x11c31, 0x11c32, 0x11c33, 0x11c34, 0x11c35, 0x11c36, 0x11c38, 0x11c39,
      0x11c3a, 0x11c3b, 0x11c3c, 0x11c3d, 0x11c3e, 0x11c3f, 0x11c92, 0x11c93,
      0x11c94, 0x11c95, 0x11c96, 0x11c97, 0x11c98, 0x11c99, 0x11c9a, 0x11c9b,
      0x11c9c, 0x11c9d, 0x11c9e, 0x11c9f, 0x11ca0, 0x11ca1, 0x11ca2, 0x11ca3,
      0x11ca4, 0x11ca5, 0x11ca6, 0x11ca7, 0x11ca9, 0x11caa, 0x11cab, 0x11cac,
      0x11cad, 0x11cae, 0x11caf, 0x11cb0, 0x11cb1, 0x11cb2, 0x11cb3, 0x11cb4,
      0x11cb5, 0x11cb6, 0x11d31, 0x11d32, 0x11d33, 0x11d34, 0x11d35, 0x11d36,
      0x11d3a, 0x11d3c, 0x11d3d, 0x11d3f, 0x11d40, 0x11d41, 0x11d42, 0x11d43,
      0x11d44, 0x11d45, 0x11d47, 0x11d8a, 0x11d8b, 0x11d8c, 0x11d8d, 0x11d8e,
      0x11d90, 0x11d91, 0x11d93, 0x11d94, 0x11d95, 0x11d96, 0x11d97, 0x11ef3,
      0x11ef4, 0x11ef5, 0x11ef6, 0x16af0, 0x16af1, 0x16af2, 0x16af3, 0x16af4,
      0x16b30, 0x16b31, 0x16b32, 0x16b33, 0x16b34, 0x16b35, 0x16b36, 0x16f4f,
      0x16f51, 0x16f52, 0x16f53, 0x16f54, 0x16f55, 0x16f56, 0x16f57, 0x16f58,
      0x16f59, 0x16f5a, 0x16f5b, 0x16f5c, 0x16f5d, 0x16f5e, 0x16f5f, 0x16f60,
      0x16f61, 0x16f62, 0x16f63, 0x16f64, 0x16f65, 0x16f66, 0x16f67, 0x16f68,
      0x16f69, 0x16f6a, 0x16f6b, 0x16f6c, 0x16f6d, 0x16f6e, 0x16f6f, 0x16f70,
      0x16f71, 0x16f72, 0x16f73, 0x16f74, 0x16f75, 0x16f76, 0x16f77, 0x16f78,
      0x16f79, 0x16f7a, 0x16f7b, 0x16f7c, 0x16f7d, 0x16f7e, 0x16f7f, 0x16f80,
      0x16f81, 0x16f82, 0x16f83, 0x16f84, 0x16f85, 0x16f86, 0x16f87, 0x16f8f,
      0x16f90, 0x16f91, 0x16f92, 0x16fe4, 0x16ff0, 0x16ff1, 0x1bc9d, 0x1bc9e,
      0x1d165, 0x1d166, 0x1d167, 0x1d168, 0x1d169, 0x1d16d, 0x1d16e, 0x1d16f,
      0x1d170, 0x1d171, 0x1d172, 0x1d17b, 0x1d17c, 0x1d17d, 0x1d17e, 0x1d17f,
      0x1d180, 0x1d181, 0x1d182, 0x1d185, 0x1d186, 0x1d187, 0x1d188, 0x1d189,
      0x1d18a, 0x1d18b, 0x1d1aa, 0x1d1ab, 0x1d1ac, 0x1d1ad, 0x1d242, 0x1d243,
      0x1d244, 0x1da00, 0x1da01, 0x1da02, 0x1da03, 0x1da04, 0x1da05, 0x1da06,
      0x1da07, 0x1da08, 0x1da09, 0x1da0a, 0x1da0b, 0x1da0c, 0x1da0d, 0x1da0e,
      0x1da0f, 0x1da10, 0x1da11, 0x1da12, 0x1da13, 0x1da14, 0x1da15, 0x1da16,
      0x1da17, 0x1da18, 0x1da19, 0x1da1a, 0x1da1b, 0x1da1c, 0x1da1d, 0x1da1e,
      0x1da1f, 0x1da20, 0x1da21, 0x1da22, 0x1da23, 0x1da24, 0x1da25, 0x1da26,
      0x1da27, 0x1da28, 0x1da29, 0x1da2a, 0x1da2b, 0x1da2c, 0x1da2d, 0x1da2e,
      0x1da2f, 0x1da30, 0x1da31, 0x1da32, 0x1da33, 0x1da34, 0x1da35, 0x1da36,
      0x1da3b, 0x1da3c, 0x1da3d, 0x1da3e, 0x1da3f, 0x1da40, 0x1da41, 0x1da42,
      0x1da43, 0x1da44, 0x1da45, 0x1da46, 0x1da47, 0x1da48, 0x1da49, 0x1da4a,
      0x1da4b, 0x1da4c, 0x1da4d, 0x1da4e, 0x1da4f, 0x1da50, 0x1da51, 0x1da52,
      0x1da53, 0x1da54, 0x1da55, 0x1da56, 0x1da57, 0x1da58, 0x1da59, 0x1da5a,
      0x1da5b, 0x1da5c, 0x1da5d, 0x1da5e, 0x1da5f, 0x1da60, 0x1da61, 0x1da62,
      0x1da63, 0x1da64, 0x1da65, 0x1da66, 0x1da67, 0x1da68, 0x1da69, 0x1da6a,
      0x1da6b, 0x1da6c, 0x1da75, 0x1da84, 0x1da9b, 0x1da9c, 0x1da9d, 0x1da9e,
      0x1da9f, 0x1daa1, 0x1daa2, 0x1daa3, 0x1daa4, 0x1daa5, 0x1daa6, 0x1daa7,
      0x1daa8, 0x1daa9, 0x1daaa, 0x1daab, 0x1daac, 0x1daad, 0x1daae, 0x1daaf,
      0x1e000, 0x1e001, 0x1e002, 0x1e003, 0x1e004, 0x1e005, 0x1e006, 0x1e008,
      0x1e009, 0x1e00a, 0x1e00b, 0x1e00c, 0x1e00d, 0x1e00e, 0x1e00f, 0x1e010,
      0x1e011, 0x1e012, 0x1e013, 0x1e014, 0x1e015, 0x1e016, 0x1e017, 0x1e018,
      0x1e01b, 0x1e01c, 0x1e01d, 0x1e01e, 0x1e01f, 0x1e020, 0x1e021, 0x1e023,
      0x1e024, 0x1e026, 0x1e027, 0x1e028, 0x1e029, 0x1e02a, 0x1e130, 0x1e131,
      0x1e132, 0x1e133, 0x1e134, 0x1e135, 0x1e136, 0x1e2ec, 0x1e2ed, 0x1e2ee,
      0x1e2ef, 0x1e8d0, 0x1e8d1, 0x1e8d2, 0x1e8d3, 0x1e8d4, 0x1e8d5, 0x1e8d6,
      0x1e944, 0x1e945, 0x1e946, 0x1e947, 0x1e948, 0x1e949, 0x1e94a, 0xe0100,
      0xe0101, 0xe0102, 0xe0103, 0xe0104, 0xe0105, 0xe0106, 0xe0107, 0xe0108,
      0xe0109, 0xe010a, 0xe010b, 0xe010c, 0xe010d, 0xe010e, 0xe010f, 0xe0110,
      0xe0111, 0xe0112, 0xe0113, 0xe0114, 0xe0115, 0xe0116, 0xe0117, 0xe0118,
      0xe0119, 0xe011a, 0xe011b, 0xe011c, 0xe011d, 0xe011e, 0xe011f, 0xe0120,
      0xe0121, 0xe0122, 0xe0123, 0xe0124, 0xe0125, 0xe0126, 0xe0127, 0xe0128,
      0xe0129, 0xe012a, 0xe012b, 0xe012c, 0xe012d, 0xe012e, 0xe012f, 0xe0130,
      0xe0131, 0xe0132, 0xe0133, 0xe0134, 0xe0135, 0xe0136, 0xe0137, 0xe0138,
      0xe0139, 0xe013a, 0xe013b, 0xe013c, 0xe013d, 0xe013e, 0xe013f, 0xe0140,
      0xe0141, 0xe0142, 0xe0143, 0xe0144, 0xe0145, 0xe0146, 0xe0147, 0xe0148,
      0xe0149, 0xe014a, 0xe014b, 0xe014c, 0xe014d, 0xe014e, 0xe014f, 0xe0150,
      0xe0151, 0xe0152, 0xe0153, 0xe0154, 0xe0155, 0xe0156, 0xe0157, 0xe0158,
      0xe0159, 0xe015a, 0xe015b, 0xe015c, 0xe015d, 0xe015e, 0xe015f, 0xe0160,
      0xe0161, 0xe0162, 0xe0163, 0xe0164, 0xe0165, 0xe0166, 0xe0167, 0xe0168,
      0xe0169, 0xe016a, 0xe016b, 0xe016c, 0xe016d, 0xe016e, 0xe016f, 0xe0170,
      0xe0171, 0xe0172, 0xe0173, 0xe0174, 0xe0175, 0xe0176, 0xe0177, 0xe0178,
      0xe0179, 0xe017a, 0xe017b, 0xe017c, 0xe017d, 0xe017e, 0xe017f, 0xe0180,
      0xe0181, 0xe0182, 0xe0183, 0xe0184, 0xe0185, 0xe0186, 0xe0187, 0xe0188,
      0xe0189, 0xe018a, 0xe018b, 0xe018c, 0xe018d, 0xe018e, 0xe018f, 0xe0190,
      0xe0191, 0xe0192, 0xe0193, 0xe0194, 0xe0195, 0xe0196, 0xe0197, 0xe0198,
      0xe0199, 0xe019a, 0xe019b, 0xe019c, 0xe019d, 0xe019e, 0xe019f, 0xe01a0,
      0xe01a1, 0xe01a2, 0xe01a3, 0xe01a4, 0xe01a5, 0xe01a6, 0xe01a7, 0xe01a8,
      0xe01a9, 0xe01aa, 0xe01ab, 0xe01ac, 0xe01ad, 0xe01ae, 0xe01af, 0xe01b0,
      0xe01b1, 0xe01b2, 0xe01b3, 0xe01b4, 0xe01b5, 0xe01b6, 0xe01b7, 0xe01b8,
      0xe01b9, 0xe01ba, 0xe01bb, 0xe01bc, 0xe01bd, 0xe01be, 0xe01bf, 0xe01c0,
      0xe01c1, 0xe01c2, 0xe01c3, 0xe01c4, 0xe01c5, 0xe01c6, 0xe01c7, 0xe01c8,
      0xe01c9, 0xe01ca, 0xe01cb, 0xe01cc, 0xe01cd, 0xe01ce, 0xe01cf, 0xe01d0,
      0xe01d1, 0xe01d2, 0xe01d3, 0xe01d4, 0xe01d5, 0xe01d6, 0xe01d7, 0xe01d8,
      0xe01d9, 0xe01da, 0xe01db, 0xe01dc, 0xe01dd, 0xe01de, 0xe01df, 0xe01e0,
      0xe01e1, 0xe01e2, 0xe01e3, 0xe01e4, 0xe01e5, 0xe01e6, 0xe01e7, 0xe01e8,
      0xe01e9, 0xe01ea, 0xe01eb, 0xe01ec, 0xe01ed, 0xe01ee, 0xe01ef};
  if (std::binary_search(std::begin(combining), std::end(combining),
                         label.front())) {
    return false;
  }
  // We verify this next step as part of the mapping:
  // ---------------------------------------------
  // Each code point in the label must only have certain status values
  // according to Section 5, IDNA Mapping Table:
  // - For Transitional Processing, each value must be valid.
  // - For Nontransitional Processing, each value must be either valid or
  // deviation.

  // If CheckJoiners, the label must satisify the ContextJ rules from Appendix
  // A, in The Unicode Code Points and Internationalized Domain Names for
  // Applications (IDNA) [IDNA2008].
  constexpr static uint32_t virama[] = {
      0x094D,  0x09CD,  0x0A4D,  0x0ACD,  0x0B4D,  0x0BCD,  0x0C4D,  0x0CCD,
      0x0D3B,  0x0D3C,  0x0D4D,  0x0DCA,  0x0E3A,  0x0EBA,  0x0F84,  0x1039,
      0x103A,  0x1714,  0x1734,  0x17D2,  0x1A60,  0x1B44,  0x1BAA,  0x1BAB,
      0x1BF2,  0x1BF3,  0x2D7F,  0xA806,  0xA82C,  0xA8C4,  0xA953,  0xA9C0,
      0xAAF6,  0xABED,  0x10A3F, 0x11046, 0x1107F, 0x110B9, 0x11133, 0x11134,
      0x111C0, 0x11235, 0x112EA, 0x1134D, 0x11442, 0x114C2, 0x115BF, 0x1163F,
      0x116B6, 0x1172B, 0x11839, 0x1193D, 0x1193E, 0x119E0, 0x11A34, 0x11A47,
      0x11A99, 0x11C3F, 0x11D44, 0x11D45, 0x11D97};
  constexpr static uint32_t R[] = {
      0x622, 0x623, 0x624, 0x625, 0x627, 0x629, 0x62f, 0x630, 0x631,
      0x632, 0x648, 0x671, 0x672, 0x673, 0x675, 0x676, 0x677, 0x688,
      0x689, 0x68a, 0x68b, 0x68c, 0x68d, 0x68e, 0x68f, 0x690, 0x691,
      0x692, 0x693, 0x694, 0x695, 0x696, 0x697, 0x698, 0x699, 0x6c0,
      0x6c3, 0x6c4, 0x6c5, 0x6c6, 0x6c7, 0x6c8, 0x6c9, 0x6ca, 0x6cb,
      0x6cd, 0x6cf, 0x6d2, 0x6d3, 0x6d5, 0x6ee, 0x6ef, 0x710, 0x715,
      0x716, 0x717, 0x718, 0x719, 0x71e, 0x728, 0x72a, 0x72c, 0x72f,
      0x74d, 0x759, 0x75a, 0x75b, 0x854, 0x8aa, 0x8ab, 0x8ac};
  constexpr static uint32_t L[] = {0xa872};
  constexpr static uint32_t D[] = {
      0x620,  0x626,  0x628,  0x62a,  0x62b,  0x62c,  0x62d,  0x62e,  0x633,
      0x634,  0x635,  0x636,  0x637,  0x638,  0x639,  0x63a,  0x63b,  0x63c,
      0x63d,  0x63e,  0x63f,  0x641,  0x642,  0x643,  0x644,  0x645,  0x646,
      0x647,  0x649,  0x64a,  0x66e,  0x66f,  0x678,  0x679,  0x67a,  0x67b,
      0x67c,  0x67d,  0x67e,  0x67f,  0x680,  0x681,  0x682,  0x683,  0x684,
      0x685,  0x686,  0x687,  0x69a,  0x69b,  0x69c,  0x69d,  0x69e,  0x69f,
      0x6a0,  0x6a1,  0x6a2,  0x6a3,  0x6a4,  0x6a5,  0x6a6,  0x6a7,  0x6a8,
      0x6a9,  0x6aa,  0x6ab,  0x6ac,  0x6ad,  0x6ae,  0x6af,  0x6b0,  0x6b1,
      0x6b2,  0x6b3,  0x6b4,  0x6b5,  0x6b6,  0x6b7,  0x6b8,  0x6b9,  0x6ba,
      0x6bb,  0x6bc,  0x6bd,  0x6be,  0x6bf,  0x6c1,  0x6c2,  0x6cc,  0x6ce,
      0x6d0,  0x6d1,  0x6fa,  0x6fb,  0x6fc,  0x6ff,  0x712,  0x713,  0x714,
      0x71a,  0x71b,  0x71c,  0x71d,  0x71f,  0x720,  0x721,  0x722,  0x723,
      0x724,  0x725,  0x726,  0x727,  0x729,  0x72b,  0x72d,  0x72e,  0x74e,
      0x74f,  0x750,  0x751,  0x752,  0x753,  0x754,  0x755,  0x756,  0x757,
      0x758,  0x75c,  0x75d,  0x75e,  0x75f,  0x760,  0x761,  0x762,  0x763,
      0x764,  0x765,  0x766,  0x850,  0x851,  0x852,  0x853,  0x855,  0x8a0,
      0x8a2,  0x8a3,  0x8a4,  0x8a5,  0x8a6,  0x8a7,  0x8a8,  0x8a9,  0x1807,
      0x1820, 0x1821, 0x1822, 0x1823, 0x1824, 0x1825, 0x1826, 0x1827, 0x1828,
      0x1829, 0x182a, 0x182b, 0x182c, 0x182d, 0x182e, 0x182f, 0x1830, 0x1831,
      0x1832, 0x1833, 0x1834, 0x1835, 0x1836, 0x1837, 0x1838, 0x1839, 0x183a,
      0x183b, 0x183c, 0x183d, 0x183e, 0x183f, 0x1840, 0x1841, 0x1842, 0x1843,
      0x1844, 0x1845, 0x1846, 0x1847, 0x1848, 0x1849, 0x184a, 0x184b, 0x184c,
      0x184d, 0x184e, 0x184f, 0x1850, 0x1851, 0x1852, 0x1853, 0x1854, 0x1855,
      0x1856, 0x1857, 0x1858, 0x1859, 0x185a, 0x185b, 0x185c, 0x185d, 0x185e,
      0x185f, 0x1860, 0x1861, 0x1862, 0x1863, 0x1864, 0x1865, 0x1866, 0x1867,
      0x1868, 0x1869, 0x186a, 0x186b, 0x186c, 0x186d, 0x186e, 0x186f, 0x1870,
      0x1871, 0x1872, 0x1873, 0x1874, 0x1875, 0x1876, 0x1877, 0x1887, 0x1888,
      0x1889, 0x188a, 0x188b, 0x188c, 0x188d, 0x188e, 0x188f, 0x1890, 0x1891,
      0x1892, 0x1893, 0x1894, 0x1895, 0x1896, 0x1897, 0x1898, 0x1899, 0x189a,
      0x189b, 0x189c, 0x189d, 0x189e, 0x189f, 0x18a0, 0x18a1, 0x18a2, 0x18a3,
      0x18a4, 0x18a5, 0x18a6, 0x18a7, 0x18a8, 0x18aa, 0xa840, 0xa841, 0xa842,
      0xa843, 0xa844, 0xa845, 0xa846, 0xa847, 0xa848, 0xa849, 0xa84a, 0xa84b,
      0xa84c, 0xa84d, 0xa84e, 0xa84f, 0xa850, 0xa851, 0xa852, 0xa853, 0xa854,
      0xa855, 0xa856, 0xa857, 0xa858, 0xa859, 0xa85a, 0xa85b, 0xa85c, 0xa85d,
      0xa85e, 0xa85f, 0xa860, 0xa861, 0xa862, 0xa863, 0xa864, 0xa865, 0xa866,
      0xa867, 0xa868, 0xa869, 0xa86a, 0xa86b, 0xa86c, 0xa86d, 0xa86e, 0xa86f,
      0xa870, 0xa871};

  for (size_t i = 0; i < label.size(); i++) {
    uint32_t c = label[i];
    if (c == 0x200c) {
      if (i > 0) {
        if (std::binary_search(std::begin(virama), std::end(virama),
                               label[i - 1])) {
          return true;
        }
      }
      if ((i == 0) || (i + 1 >= label.size())) {
        return false;
      }
      // we go backward looking for L or D
      auto is_l_or_d = [](uint32_t code) {
        return std::binary_search(std::begin(L), std::end(L), code) ||
               std::binary_search(std::begin(D), std::end(D), code);
      };
      auto is_r_or_d = [](uint32_t code) {
        return std::binary_search(std::begin(R), std::end(R), code) ||
               std::binary_search(std::begin(D), std::end(D), code);
      };
      std::u32string_view before = label.substr(0, i);
      std::u32string_view after = label.substr(i + 1);
      return (std::find_if(before.begin(), before.end(), is_l_or_d) !=
              before.end()) &&
             (std::find_if(after.begin(), after.end(), is_r_or_d) !=
              after.end());
    } else if (c == 0x200d) {
      if (i > 0) {
        if (std::binary_search(std::begin(virama), std::end(virama),
                               label[i - 1])) {
          return true;
        }
      }
      return false;
    }
  }

  // If CheckBidi, and if the domain name is a  Bidi domain name, then the label
  // must satisfy all six of the numbered conditions in [IDNA2008] RFC 5893,
  // Section 2.

  // The following rule, consisting of six conditions, applies to labels
  // in Bidi domain names.  The requirements that this rule satisfies are
  // described in Section 3.  All of the conditions must be satisfied for
  // the rule to be satisfied.
  //
  //  1.  The first character must be a character with Bidi property L, R,
  //     or AL.  If it has the R or AL property, it is an RTL label; if it
  //     has the L property, it is an LTR label.
  //
  //  2.  In an RTL label, only characters with the Bidi properties R, AL,
  //      AN, EN, ES, CS, ET, ON, BN, or NSM are allowed.
  //
  //   3.  In an RTL label, the end of the label must be a character with
  //       Bidi property R, AL, EN, or AN, followed by zero or more
  //       characters with Bidi property NSM.
  //
  //   4.  In an RTL label, if an EN is present, no AN may be present, and
  //       vice versa.
  //
  //  5.  In an LTR label, only characters with the Bidi properties L, EN,
  //       ES, CS, ET, ON, BN, or NSM are allowed.
  //
  //   6.  In an LTR label, the end of the label must be a character with
  //       Bidi property L or EN, followed by zero or more characters with
  //       Bidi property NSM.

  size_t last_non_nsm_char = find_last_not_of_nsm(label);
  if (last_non_nsm_char == std::u32string_view::npos) {
    return false;
  }

  // A "Bidi domain name" is a domain name that contains at least one RTL label.
  // The following rule, consisting of six conditions, applies to labels in Bidi
  // domain names.
  if (is_rtl_label(label)) {
    // The first character must be a character with Bidi property L, R,
    // or AL. If it has the R or AL property, it is an RTL label; if it
    // has the L property, it is an LTR label.

    if (find_direction(label[0]) == direction::L) {
      // Eval as LTR

      // In an LTR label, only characters with the Bidi properties L, EN,
      // ES, CS, ET, ON, BN, or NSM are allowed.
      for (size_t i = 0; i < last_non_nsm_char; i++) {
        const direction d = find_direction(label[i]);
        if (!(d == direction::L || d == direction::EN || d == direction::ES ||
              d == direction::CS || d == direction::ET || d == direction::ON ||
              d == direction::BN || d == direction::NSM)) {
          return false;
        }

        if ((i == last_non_nsm_char) &&
            !(d == direction::L || d == direction::EN)) {
          return false;
        }
      }

      return true;

    } else {
      // Eval as RTL

      bool has_an = false;
      bool has_en = false;
      for (size_t i = 0; i <= last_non_nsm_char; i++) {
        const direction d = find_direction(label[i]);

        // In an RTL label, if an EN is present, no AN may be present, and vice
        // versa.
        if ((d == direction::EN && ((has_en = true) && has_an)) ||
            (d == direction::AN && ((has_an = true) && has_en))) {
          return false;
        }

        if (!(d == direction::R || d == direction::AL || d == direction::AN ||
              d == direction::EN || d == direction::ES || d == direction::CS ||
              d == direction::ET || d == direction::ON || d == direction::BN ||
              d == direction::NSM)) {
          return false;
        }

        if (i == last_non_nsm_char &&
            !(d == direction::R || d == direction::AL || d == direction::AN ||
              d == direction::EN)) {
          return false;
        }
      }

      return true;
    }
  }

  return true;
}

}  // namespace ada::idna
/* end file src/validity.cpp */
/* begin file src/to_ascii.cpp */

#include <algorithm>
#include <cstdint>


namespace ada::idna {

bool constexpr begins_with(std::u32string_view view,
                           std::u32string_view prefix) {
  if (view.size() < prefix.size()) {
    return false;
  }
  return view.substr(0, prefix.size()) == prefix;
}

bool constexpr begins_with(std::string_view view, std::string_view prefix) {
  if (view.size() < prefix.size()) {
    return false;
  }
  return view.substr(0, prefix.size()) == prefix;
}

bool constexpr is_ascii(std::u32string_view view) {
  for (uint32_t c : view) {
    if (c >= 0x80) {
      return false;
    }
  }
  return true;
}

bool constexpr is_ascii(std::string_view view) {
  for (uint8_t c : view) {
    if (c >= 0x80) {
      return false;
    }
  }
  return true;
}

constexpr static uint8_t is_forbidden_domain_code_point_table[] = {
    1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,
    1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1,
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0,
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0,
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
    0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,
    1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,
    1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,
    1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,
    1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,
    1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1};

static_assert(sizeof(is_forbidden_domain_code_point_table) == 256);

inline bool is_forbidden_domain_code_point(const char c) noexcept {
  return is_forbidden_domain_code_point_table[uint8_t(c)];
}

bool contains_forbidden_domain_code_point(std::string_view view) {
  return (
      std::any_of(view.begin(), view.end(), is_forbidden_domain_code_point));
}

// We return "" on error.
static std::string from_ascii_to_ascii(std::string_view ut8_string) {
  static const std::string error = "";
  // copy and map
  // we could be more efficient by avoiding the copy when unnecessary.
  std::string mapped_string = std::string(ut8_string);
  ascii_map(mapped_string.data(), mapped_string.size());
  std::string out;
  size_t label_start = 0;

  while (label_start != mapped_string.size()) {
    size_t loc_dot = mapped_string.find('.', label_start);
    bool is_last_label = (loc_dot == std::string_view::npos);
    size_t label_size = is_last_label ? mapped_string.size() - label_start
                                      : loc_dot - label_start;
    size_t label_size_with_dot = is_last_label ? label_size : label_size + 1;
    std::string_view label_view(mapped_string.data() + label_start, label_size);
    label_start += label_size_with_dot;
    if (label_size == 0) {
      // empty label? Nothing to do.
    } else if (begins_with(label_view, "xn--")) {
      // The xn-- part is the expensive game.
      out.append(label_view);
      std::string_view puny_segment_ascii(
          out.data() + out.size() - label_view.size() + 4,
          label_view.size() - 4);
      std::u32string tmp_buffer;
      bool is_ok = ada::idna::punycode_to_utf32(puny_segment_ascii, tmp_buffer);
      if (!is_ok) {
        return error;
      }
      std::u32string post_map = ada::idna::map(tmp_buffer);
      if (tmp_buffer != post_map) {
        return error;
      }
      std::u32string pre_normal = post_map;
      normalize(post_map);
      if (post_map != pre_normal) {
        return error;
      }
      if (post_map.empty()) {
        return error;
      }
      if (!is_label_valid(post_map)) {
        return error;
      }
    } else {
      out.append(label_view);
    }
    if (!is_last_label) {
      out.push_back('.');
    }
  }
  return out;
}

// We return "" on error.
std::string to_ascii(std::string_view ut8_string) {
  if (is_ascii(ut8_string)) {
    return from_ascii_to_ascii(ut8_string);
  }
  static const std::string error = "";
  // We convert to UTF-32
  size_t utf32_length =
      ada::idna::utf32_length_from_utf8(ut8_string.data(), ut8_string.size());
  std::u32string utf32(utf32_length, '\0');
  size_t actual_utf32_length = ada::idna::utf8_to_utf32(
      ut8_string.data(), ut8_string.size(), utf32.data());
  if (actual_utf32_length == 0) {
    return error;
  }
  // mapping
  utf32 = ada::idna::map(utf32);
  normalize(utf32);
  std::string out;
  size_t label_start = 0;

  while (label_start != utf32.size()) {
    size_t loc_dot = utf32.find('.', label_start);
    bool is_last_label = (loc_dot == std::string_view::npos);
    size_t label_size =
        is_last_label ? utf32.size() - label_start : loc_dot - label_start;
    size_t label_size_with_dot = is_last_label ? label_size : label_size + 1;
    std::u32string_view label_view(utf32.data() + label_start, label_size);
    label_start += label_size_with_dot;
    if (label_size == 0) {
      // empty label? Nothing to do.
    } else if (begins_with(label_view, U"xn--")) {
      // we do not need to check, e.g., Xn-- because mapping goes to lower case
      for (char32_t c : label_view) {
        if (c >= 0x80) {
          return error;
        }
        out += (unsigned char)(c);
      }
      std::string_view puny_segment_ascii(
          out.data() + out.size() - label_view.size() + 4,
          label_view.size() - 4);
      std::u32string tmp_buffer;
      bool is_ok = ada::idna::punycode_to_utf32(puny_segment_ascii, tmp_buffer);
      if (!is_ok) {
        return error;
      }
      std::u32string post_map = ada::idna::map(tmp_buffer);
      if (tmp_buffer != post_map) {
        return error;
      }
      std::u32string pre_normal = post_map;
      normalize(post_map);
      if (post_map != pre_normal) {
        return error;
      }
      if (post_map.empty()) {
        return error;
      }
      if (!is_label_valid(post_map)) {
        return error;
      }
    } else {
      // The fast path here is an ascii label.
      if (is_ascii(label_view)) {
        // no validation needed.
        for (char32_t c : label_view) {
          out += (unsigned char)(c);
        }
      } else {
        // slow path.
        // first check validity.
        if (!is_label_valid(label_view)) {
          return error;
        }
        // It is valid! So now we must encode it as punycode...
        out.append("xn--");
        bool is_ok = ada::idna::utf32_to_punycode(label_view, out);
        if (!is_ok) {
          return error;
        }
      }
    }
    if (!is_last_label) {
      out.push_back('.');
    }
  }
  return out;
}
}  // namespace ada::idna
/* end file src/to_ascii.cpp */
/* begin file src/to_unicode.cpp */

#include <algorithm>
#include <string>


namespace ada::idna {
std::string to_unicode(std::string_view input) {
  std::string output;
  output.reserve(input.size());

  size_t label_start = 0;
  while (label_start < input.size()) {
    size_t loc_dot = input.find('.', label_start);
    bool is_last_label = (loc_dot == std::string_view::npos);
    size_t label_size =
        is_last_label ? input.size() - label_start : loc_dot - label_start;
    auto label_view = std::string_view(input.data() + label_start, label_size);

    if (ada::idna::begins_with(label_view, "xn--") &&
        ada::idna::is_ascii(label_view)) {
      label_view.remove_prefix(4);
      if (ada::idna::verify_punycode(label_view)) {
        std::u32string tmp_buffer;
        if (ada::idna::punycode_to_utf32(label_view, tmp_buffer)) {
          auto utf8_size = ada::idna::utf8_length_from_utf32(tmp_buffer.data(),
                                                             tmp_buffer.size());
          std::string final_utf8(utf8_size, '\0');
          ada::idna::utf32_to_utf8(tmp_buffer.data(), tmp_buffer.size(),
                                   final_utf8.data());
          output.append(final_utf8);
        } else {
          // ToUnicode never fails.  If any step fails, then the original input
          // sequence is returned immediately in that step.
          output.append(
              std::string_view(input.data() + label_start, label_size));
        }
      } else {
        output.append(std::string_view(input.data() + label_start, label_size));
      }
    } else {
      output.append(label_view);
    }

    if (!is_last_label) {
      output.push_back('.');
    }

    label_start += label_size + 1;
  }

  return output;
}
}  // namespace ada::idna
/* end file src/to_unicode.cpp */
/* end file src/idna.cpp */